Code
library(ivdtools)
library(readr)6 Matrix Effects and Commutability
This chapter describes four commutability paths implemented by commutability(): CLSI EP14-A3, CLSI EP30-A, IFCC Part 2, and IFCC Part 3. The paths answer different questions and have different statistical units.
| Path | Main question | Unit of evaluation | Main result |
|---|---|---|---|
| CLSI EP14-A3 | Do processed samples follow the inter-procedure relationship of clinical samples? | Procedure pair × reference material | Deming prediction interval and classification |
| CLSI EP30-A | Is a reference material suitable for a set of measurement procedures? | Procedure pair × reference material | Prediction interval, relative residual, and RMF comparison |
| IFCC Part 2 | Is the difference between reference-material and clinical-sample bias acceptable? | Procedure pair × reference material | Bias difference, uncertainty, and three-way conclusion |
| IFCC Part 3 | Can recalibration of a reference material reduce inter-procedure differences? | Procedure set | Bias before/after calibration, IMPBR, diagnostics |
ImportantScope of Use
Commutability is a study-design and interpretation problem, not only a regression calculation. The package checks data structure and produces statistical boundaries, but it does not choose materials, reference procedures, clinical acceptability limits, or the final fitness-for-purpose conclusion.
6.1 Main Function and Input Data
| Function | Main purpose |
|---|---|
commutability() |
Evaluate EP14, EP30, IFCC Part 2, or IFCC Part 3 commutability |
print() |
Summarize path, procedure pairs, design checks, and main conclusions |
summary() |
Expand unmet design recommendations and unavailable procedure pairs |
plot() |
Plot clinical-sample relationships, material positions, and boundaries |
| Field | Meaning |
|---|---|
sample_id |
Clinical-sample or reference-material identifier |
material_type |
Material class; not required for the calibration path |
procedure |
Measurement-procedure name |
result |
Single measurement result |
position |
Position of the material in the IFCC Part 2 run sequence |
calibration_stage |
before or after for the calibration path |
The data must preserve replicate structure, procedure labels, material class, and any run-order information required by the selected path. Do not collapse repeated results without first defining the analysis unit.
6.2 Statistical Paths
For EP14-A3, clinical-sample relationships are fitted with Deming regression and material results are checked against prediction intervals. EP30-A additionally compares relative residuals with reference-material limits. IFCC Part 2 estimates clinical-sample bias around each material and combines bias differences with uncertainty. The supported local-bias models are:
| Model | Interpretation |
|---|---|
constant_global |
One clinical-sample bias estimate across the full concentration range |
constant_local |
A local constant bias estimate near each reference material |
linear_local |
A local linear bias estimated from clinical samples on both sides of the material |
IFCC Part 3 evaluates calibration validity and compares inter-procedure bias before and after recalibration. Analyze original and log scales separately when the protocol requires it; an apparent change in commutability after transformation is an analysis-scale difference, not an automatic biological conclusion.
6.3 Analysis Examples
6.3.1 EP14-A3 Cholesterol on the Original Scale
Code
ep14_c1 <- as.data.frame(read_csv(
"./data/006-基质效应与互换性/std-ep14-appendix-c1.csv",
show_col_types = FALSE
))
ep14_fit <- commutability(
ep14_c1, approach = "ep14", sample_id = "sample_id",
material_type = "material_type", procedure = "procedure", result = "result"
)
print(ep14_fit)
Commutability assessment
Study-design checks: 2 met, 0 unmet. Unmet checks do not invalidate computations; inspect '$design_checks'.
Approach : EP14
Scale : raw
Procedure pairs : 1
Reference materials : 5
Procedure pair: A vs B | Reference material: a
Mean X : 108.86
Mean Y : 110.15
Predicted Y : 117.19384
Residual : -7.0438387
Prediction SE : 3.9893651
Lower : 109.13103
Upper : 125.25665
Extrapolated : FALSE
Classification : commutable
procedure_x : A
procedure_y : B
Procedure pair: A vs B | Reference material: b
Mean X : 123.12333
Mean Y : 136.95
Predicted Y : 132.71701
Residual : 4.2329936
Prediction SE : 3.9111051
Lower : 124.81237
Upper : 140.62164
Extrapolated : FALSE
Classification : commutable
procedure_x : A
procedure_y : B
Procedure pair: A vs B | Reference material: c
Mean X : 146.95
Mean Y : 175.36667
Predicted Y : 158.64821
Residual : 16.718461
Prediction SE : 3.8114445
Lower : 150.94499
Upper : 166.35142
Extrapolated : FALSE
Classification : noncommutable
procedure_x : A
procedure_y : B
Procedure pair: A vs B | Reference material: d_run16
Mean X : 198.44
Mean Y : 215.98333
Predicted Y : 214.68615
Residual : 1.2971814
Prediction SE : 3.740138
Lower : 207.12705
Upper : 222.24525
Extrapolated : FALSE
Classification : commutable
procedure_x : A
procedure_y : B
Procedure pair: A vs B | Reference material: d_run07
Mean X : 222.31667
Mean Y : 244.06667
Predicted Y : 240.67177
Residual : 3.3948989
Prediction SE : 3.7763512
Lower : 233.03948
Upper : 248.30406
Extrapolated : FALSE
Classification : commutable
procedure_x : A
procedure_y : BCode
plot(ep14_fit)
6.3.2 EP30 Multi-Procedure Reference Materials
Code
ep30 <- as.data.frame(read_csv(
"./data/006-基质效应与互换性/std-ep30-appendix-b.csv",
show_col_types = FALSE
))
ep30_fit <- commutability(
ep30, approach = "ep30", sample_id = "specimen",
material_type = "type", procedure = "method", result = "result"
)
summary(ep30_fit)
Commutability assessment
Study-design checks: 180 met, 0 unmet. Unmet checks do not invalidate computations; inspect '$design_checks'.
Approach : EP30
Scale : raw
Procedure pairs : 45
Reference materials : 315
Procedure pair: MA vs MB | Reference material: RMA
Mean X : 12.4
Mean Y : 14.3
Predicted Y : 15.576069
Residual : -1.2760688
Prediction SE : 1.8530797
Lower : 11.944099
Upper : 19.208038
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1890275
Relative residual : 1.0732038
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MB
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MB | Reference material: RMB
Mean X : 24.1
Mean Y : 26.9
Predicted Y : 26.829327
Residual : 0.070672943
Prediction SE : 1.8454797
Lower : 23.212253
Upper : 30.446401
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1890275
Relative residual : -0.059437604
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MB
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MB | Reference material: RMC
Mean X : 35.4
Mean Y : 37
Predicted Y : 37.697859
Residual : -0.69785851
Prediction SE : 1.8688251
Lower : 34.035029
Upper : 41.360688
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1890275
Relative residual : 0.58691538
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MB
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MB | Reference material: RMD
Mean X : 42.2
Mean Y : 41.7
Predicted Y : 44.238214
Residual : -2.5382137
Prediction SE : 1.8969998
Lower : 40.520162
Upper : 47.956265
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1890275
Relative residual : 2.1346973
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MB
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MB | Reference material: RME
Mean X : 15.3
Mean Y : 19
Predicted Y : 18.365338
Residual : 0.63466204
Prediction SE : 1.8481767
Lower : 14.742978
Upper : 21.987698
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1890275
Relative residual : -0.53376567
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MB
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MB | Reference material: RMF
Mean X : 21
Mean Y : 20
Predicted Y : 23.847695
Residual : -3.8476945
Prediction SE : 1.8443328
Lower : 20.232869
Upper : 27.46252
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.1890275
Relative residual : 3.2360014
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MB
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MA vs MB | Reference material: RMG
Mean X : 17
Mean Y : 21.1
Predicted Y : 20.000427
Residual : 1.0995732
Prediction SE : 1.8462245
Lower : 16.381893
Upper : 23.61896
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1890275
Relative residual : -0.9247669
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MB
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MC | Reference material: RMA
Mean X : 12.4
Mean Y : 11.3
Predicted Y : 13.351899
Residual : -2.0518991
Prediction SE : 1.9589829
Lower : 9.5123631
Upper : 17.191435
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0611977
Relative residual : 1.9335691
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MC
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MC | Reference material: RMB
Mean X : 24.1
Mean Y : 22.7
Predicted Y : 25.760137
Residual : -3.0601371
Prediction SE : 1.9532717
Lower : 21.931795
Upper : 29.588479
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0611977
Relative residual : 2.8836635
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MC
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MC | Reference material: RMC
Mean X : 35.4
Mean Y : 33.6
Predicted Y : 37.744162
Residual : -4.1441618
Prediction SE : 1.9708366
Lower : 33.881393
Upper : 41.60693
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.0611977
Relative residual : 3.9051742
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MC
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MA vs MC | Reference material: RMD
Mean X : 42.2
Mean Y : 40.3
Predicted Y : 44.955787
Residual : -4.6557873
Prediction SE : 1.9921183
Lower : 41.051307
Upper : 48.860267
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.0611977
Relative residual : 4.387295
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MC
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MA vs MC | Reference material: RME
Mean X : 15.3
Mean Y : 17.3
Predicted Y : 16.427445
Residual : 0.87255476
Prediction SE : 1.9552977
Lower : 12.595132
Upper : 20.259758
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0611977
Relative residual : -0.82223584
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MC
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MC | Reference material: RMF
Mean X : 21
Mean Y : 23.3
Predicted Y : 22.472484
Residual : 0.82751573
Prediction SE : 1.9524105
Lower : 18.64583
Upper : 26.299138
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0611977
Relative residual : -0.77979414
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MC
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MC | Reference material: RMG
Mean X : 17
Mean Y : 19.2
Predicted Y : 18.230352
Residual : 0.96964839
Prediction SE : 1.9538311
Lower : 14.400913
Upper : 22.05979
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0611977
Relative residual : -0.91373022
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MC
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MD | Reference material: RMA
Mean X : 12.4
Mean Y : 11.4
Predicted Y : 10.746146
Residual : 0.65385407
Prediction SE : 1.8882069
Lower : 7.0453283
Upper : 14.446964
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0324006
Relative residual : -0.63333369
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MD | Reference material: RMB
Mean X : 24.1
Mean Y : 19.9
Predicted Y : 20.509565
Residual : -0.60956453
Prediction SE : 1.8825915
Lower : 16.819753
Upper : 24.199376
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0324006
Relative residual : 0.59043412
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MD | Reference material: RMC
Mean X : 35.4
Mean Y : 29.6
Predicted Y : 29.939191
Residual : -0.33919104
Prediction SE : 1.8998608
Lower : 26.215532
Upper : 33.66285
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0324006
Relative residual : 0.32854596
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MD | Reference material: RMD
Mean X : 42.2
Mean Y : 34.6
Predicted Y : 35.613657
Residual : -1.0136566
Prediction SE : 1.9207804
Lower : 31.848996
Upper : 39.378317
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0324006
Relative residual : 0.98184422
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MD | Reference material: RME
Mean X : 15.3
Mean Y : 13.2
Predicted Y : 13.166139
Residual : 0.033861426
Prediction SE : 1.8845835
Lower : 9.4724228
Upper : 16.859854
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0324006
Relative residual : -0.032798728
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MD | Reference material: RMF
Mean X : 21
Mean Y : 24.9
Predicted Y : 17.922676
Residual : 6.9773242
Prediction SE : 1.8817446
Lower : 14.234524
Upper : 21.610828
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.0324006
Relative residual : -6.7583496
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MA vs MD | Reference material: RMG
Mean X : 17
Mean Y : 14.7
Predicted Y : 14.584755
Residual : 0.11524505
Prediction SE : 1.8831415
Lower : 10.893865
Upper : 18.275645
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0324006
Relative residual : -0.11162823
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs ME | Reference material: RMA
Mean X : 12.4
Mean Y : 12
Predicted Y : 13.257712
Residual : -1.2577119
Prediction SE : 1.9868564
Lower : 9.3635448
Upper : 17.151879
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1929761
Relative residual : 1.0542641
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs ME | Reference material: RMB
Mean X : 24.1
Mean Y : 24.1
Predicted Y : 26.55133
Residual : -2.4513305
Prediction SE : 1.9797306
Lower : 22.67113
Upper : 30.431531
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1929761
Relative residual : 2.0548027
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs ME | Reference material: RMC
Mean X : 35.4
Mean Y : 35.9
Predicted Y : 39.390466
Residual : -3.4904664
Prediction SE : 2.0016311
Lower : 35.467342
Upper : 43.313591
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1929761
Relative residual : 2.9258478
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs ME | Reference material: RMD
Mean X : 42.2
Mean Y : 43.5
Predicted Y : 47.116672
Residual : -3.6166721
Prediction SE : 2.0281069
Lower : 43.141656
Upper : 51.091689
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1929761
Relative residual : 3.0316384
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs ME | Reference material: RME
Mean X : 15.3
Mean Y : 17.1
Predicted Y : 16.552711
Residual : 0.54728865
Prediction SE : 1.9822589
Lower : 12.667555
Upper : 20.437867
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1929761
Relative residual : -0.45875912
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs ME | Reference material: RMF
Mean X : 21
Mean Y : 23.4
Predicted Y : 23.02909
Residual : 0.37091035
Prediction SE : 1.9786556
Lower : 19.150996
Upper : 26.907183
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1929761
Relative residual : -0.31091181
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs ME | Reference material: RMG
Mean X : 17
Mean Y : 19
Predicted Y : 18.484263
Residual : 0.51573723
Prediction SE : 1.9804288
Lower : 14.602694
Upper : 22.365832
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1929761
Relative residual : -0.43231146
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MF | Reference material: RMA
Mean X : 12.4
Mean Y : 9.5
Predicted Y : 10.725553
Residual : -1.2255535
Prediction SE : 1.9315271
Lower : 6.93983
Upper : 14.511277
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.9474596
Relative residual : 1.2935153
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MF | Reference material: RMB
Mean X : 24.1
Mean Y : 19
Predicted Y : 21.312265
Residual : -2.3122649
Prediction SE : 1.9269104
Lower : 17.53559
Upper : 25.08894
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.9474596
Relative residual : 2.4404891
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MF | Reference material: RMC
Mean X : 35.4
Mean Y : 28.8
Predicted Y : 31.537037
Residual : -2.7370374
Prediction SE : 1.9411168
Lower : 27.732518
Upper : 35.341556
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.9474596
Relative residual : 2.888817
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MF | Reference material: RMD
Mean X : 42.2
Mean Y : 35.1
Predicted Y : 37.689998
Residual : -2.5899978
Prediction SE : 1.9583596
Lower : 33.851684
Upper : 41.528312
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.9474596
Relative residual : 2.7336235
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MF | Reference material: RME
Mean X : 15.3
Mean Y : 14
Predicted Y : 13.34961
Residual : 0.65038984
Prediction SE : 1.9285478
Lower : 9.5697259
Upper : 17.129494
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.9474596
Relative residual : -0.68645654
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MF | Reference material: RMF
Mean X : 21
Mean Y : 20
Predicted Y : 18.507239
Residual : 1.4927612
Prediction SE : 1.9262144
Lower : 14.731928
Upper : 22.28255
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.9474596
Relative residual : -1.5755408
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MF | Reference material: RMG
Mean X : 17
Mean Y : 15.5
Predicted Y : 14.88785
Residual : 0.61214973
Prediction SE : 1.9273625
Lower : 11.110289
Upper : 18.665411
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.9474596
Relative residual : -0.64609586
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MG | Reference material: RMA
Mean X : 12.4
Mean Y : 9.1
Predicted Y : 11.511692
Residual : -2.4116925
Prediction SE : 1.8485034
Lower : 7.8886923
Upper : 15.134693
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.85204379
Relative residual : 2.8304795
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MG | Reference material: RMB
Mean X : 24.1
Mean Y : 19.1
Predicted Y : 22.514905
Residual : -3.4149045
Prediction SE : 1.8446068
Lower : 18.899542
Upper : 26.130267
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.85204379
Relative residual : 4.0078979
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MG | Reference material: RMC
Mean X : 35.4
Mean Y : 28.8
Predicted Y : 33.141938
Residual : -4.3419384
Prediction SE : 1.856601
Lower : 29.503067
Upper : 36.78081
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.85204379
Relative residual : 5.09591
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MA vs MG | Reference material: RMD
Mean X : 42.2
Mean Y : 35.8
Predicted Y : 39.536968
Residual : -3.7369676
Prediction SE : 1.8711726
Lower : 35.869537
Upper : 43.204399
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.85204379
Relative residual : 4.3858869
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MA vs MG | Reference material: RME
Mean X : 15.3
Mean Y : 14.8
Predicted Y : 14.238984
Residual : 0.56101565
Prediction SE : 1.8459887
Lower : 10.620913
Upper : 17.857056
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.85204379
Relative residual : -0.65843523
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MG | Reference material: RMF
Mean X : 21
Mean Y : 20.1
Predicted Y : 19.599524
Residual : 0.50047644
Prediction SE : 1.8440194
Lower : 15.985312
Upper : 23.213735
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.85204379
Relative residual : -0.58738347
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MG | Reference material: RMG
Mean X : 17
Mean Y : 16.4
Predicted Y : 15.837742
Residual : 0.56225834
Prediction SE : 1.8449883
Lower : 12.221631
Upper : 19.453852
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.85204379
Relative residual : -0.65989371
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MH | Reference material: RMA
Mean X : 12.4
Mean Y : 9.1
Predicted Y : 11.512598
Residual : -2.4125976
Prediction SE : 1.9203196
Lower : 7.7488403
Upper : 15.276355
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.85199356
Relative residual : 2.8317087
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MH | Reference material: RMB
Mean X : 24.1
Mean Y : 19.1
Predicted Y : 22.514577
Residual : -3.4145771
Prediction SE : 1.9165698
Lower : 18.758169
Upper : 26.270985
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.85199356
Relative residual : 4.0077499
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MH | Reference material: RMC
Mean X : 35.4
Mean Y : 28.8
Predicted Y : 33.140421
Residual : -4.3404206
Prediction SE : 1.9281138
Lower : 29.361387
Upper : 36.919454
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.85199356
Relative residual : 5.0944289
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MA vs MH | Reference material: RMD
Mean X : 42.2
Mean Y : 35.8
Predicted Y : 39.534734
Residual : -3.7347335
Prediction SE : 1.9421458
Lower : 35.728198
Upper : 43.341269
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.85199356
Relative residual : 4.3835232
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MH | Reference material: RME
Mean X : 15.3
Mean Y : 14.8
Predicted Y : 14.239584
Residual : 0.56041603
Prediction SE : 1.9178995
Lower : 10.48057
Upper : 17.998598
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.85199356
Relative residual : -0.65777027
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MH | Reference material: RMF
Mean X : 21
Mean Y : 20.1
Predicted Y : 19.599523
Residual : 0.50047728
Prediction SE : 1.9160046
Lower : 15.844223
Upper : 23.354823
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.85199356
Relative residual : -0.58741908
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MH | Reference material: RMG
Mean X : 17
Mean Y : 16.4
Predicted Y : 15.838162
Residual : 0.56183781
Prediction SE : 1.9169369
Lower : 12.081035
Upper : 19.595289
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.85199356
Relative residual : -0.65943903
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MI | Reference material: RMA
Mean X : 12.4
Mean Y : 9.8
Predicted Y : 11.822151
Residual : -2.0221509
Prediction SE : 1.8406062
Lower : 8.2146291
Upper : 15.429673
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.8461896
Relative residual : 2.3897137
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MI | Reference material: RMB
Mean X : 24.1
Mean Y : 19.5
Predicted Y : 22.685842
Residual : -3.1858421
Prediction SE : 1.8367511
Lower : 19.085876
Upper : 26.285808
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.8461896
Relative residual : 3.764927
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MI | Reference material: RMC
Mean X : 35.4
Mean Y : 28.6
Predicted Y : 33.178125
Residual : -4.578125
Prediction SE : 1.8486174
Lower : 29.554902
Upper : 36.801349
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.8461896
Relative residual : 5.4102828
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MA vs MI | Reference material: RMD
Mean X : 42.2
Mean Y : 35
Predicted Y : 39.492065
Residual : -4.4920652
Prediction SE : 1.8630342
Lower : 35.840585
Upper : 43.143545
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.8461896
Relative residual : 5.3085801
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MA vs MI | Reference material: RME
Mean X : 15.3
Mean Y : 15
Predicted Y : 14.514861
Residual : 0.48513935
Prediction SE : 1.8381183
Lower : 10.912215
Upper : 18.117506
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.8461896
Relative residual : -0.57332228
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MI | Reference material: RMF
Mean X : 21
Mean Y : 26
Predicted Y : 19.807428
Residual : 6.1925718
Prediction SE : 1.83617
Lower : 16.208601
Upper : 23.406255
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.8461896
Relative residual : -7.3181847
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MA vs MI | Reference material: RMG
Mean X : 17
Mean Y : 16.7
Predicted Y : 16.093346
Residual : 0.6066543
Prediction SE : 1.8371286
Lower : 12.49264
Upper : 19.694052
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.8461896
Relative residual : -0.71692479
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MJ | Reference material: RMA
Mean X : 12.4
Mean Y : 8.5
Predicted Y : 9.3493528
Residual : -0.84935277
Prediction SE : 1.8576804
Lower : 5.7083662
Upper : 12.990339
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.84206988
Relative residual : 1.0086488
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MJ | Reference material: RMB
Mean X : 24.1
Mean Y : 17
Predicted Y : 18.694438
Residual : -1.694438
Prediction SE : 1.8538908
Lower : 15.060879
Upper : 22.327997
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.84206988
Relative residual : 2.0122297
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MJ | Reference material: RMC
Mean X : 35.4
Mean Y : 25.3
Predicted Y : 27.720033
Residual : -2.4200332
Prediction SE : 1.8655562
Lower : 24.06361
Upper : 31.376456
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.84206988
Relative residual : 2.8739102
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MJ | Reference material: RMD
Mean X : 42.2
Mean Y : 30.6
Predicted Y : 33.151365
Residual : -2.5513648
Prediction SE : 1.8797316
Lower : 29.467159
Upper : 36.835571
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.84206988
Relative residual : 3.029873
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MJ | Reference material: RME
Mean X : 15.3
Mean Y : 12
Predicted Y : 11.665656
Residual : 0.33434405
Prediction SE : 1.8552347
Lower : 8.0294628
Upper : 15.301849
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.84206988
Relative residual : -0.39705024
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MJ | Reference material: RMF
Mean X : 21
Mean Y : 21
Predicted Y : 16.21839
Residual : 4.7816102
Prediction SE : 1.8533196
Lower : 12.58595
Upper : 19.850829
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.84206988
Relative residual : -5.6784007
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MA vs MJ | Reference material: RMG
Mean X : 17
Mean Y : 13.4
Predicted Y : 13.023489
Residual : 0.37651114
Prediction SE : 1.8542618
Lower : 9.3892025
Upper : 16.657775
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.84206988
Relative residual : -0.44712577
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MC | Reference material: RMA
Mean X : 14.3
Mean Y : 11.3
Predicted Y : 11.949157
Residual : -0.64915747
Prediction SE : 2.1645067
Lower : 7.7068024
Upper : 16.191513
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.95212352
Relative residual : 0.68179964
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MC
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MC | Reference material: RMB
Mean X : 26.9
Mean Y : 22.7
Predicted Y : 25.836685
Residual : -3.1366853
Prediction SE : 2.1587976
Lower : 21.60552
Upper : 30.067851
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.95212352
Relative residual : 3.2944101
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MC
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MC | Reference material: RMC
Mean X : 37
Mean Y : 33.6
Predicted Y : 36.968751
Residual : -3.3687513
Prediction SE : 2.1702374
Lower : 32.715164
Upper : 41.222338
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.95212352
Relative residual : 3.5381453
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MC
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MC | Reference material: RMD
Mean X : 41.7
Mean Y : 40.3
Predicted Y : 42.14902
Residual : -1.8490197
Prediction SE : 2.1803678
Lower : 37.875577
Upper : 46.422462
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.95212352
Relative residual : 1.9419956
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MC
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MC | Reference material: RME
Mean X : 19
Mean Y : 17.3
Predicted Y : 17.129426
Residual : 0.1705742
Prediction SE : 2.1597819
Lower : 12.896331
Upper : 21.362521
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.95212352
Relative residual : -0.17915133
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MC
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MC | Reference material: RMF
Mean X : 20
Mean Y : 23.3
Predicted Y : 18.231611
Residual : 5.0683894
Prediction SE : 2.1591744
Lower : 13.999707
Upper : 22.463515
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.95212352
Relative residual : -5.3232478
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MC
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MB vs MC | Reference material: RMG
Mean X : 21.1
Mean Y : 19.2
Predicted Y : 19.444014
Residual : -0.24401378
Prediction SE : 2.1586676
Lower : 15.213103
Upper : 23.674925
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.95212352
Relative residual : 0.25628375
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MC
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MD | Reference material: RMA
Mean X : 14.3
Mean Y : 11.4
Predicted Y : 9.6426352
Residual : 1.7573648
Prediction SE : 2.0361834
Lower : 5.6517891
Upper : 13.633481
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3039134
Relative residual : -1.3477619
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MD | Reference material: RMB
Mean X : 26.9
Mean Y : 19.9
Predicted Y : 20.569721
Residual : -0.66972078
Prediction SE : 2.0246944
Lower : 16.601393
Upper : 24.538049
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3039134
Relative residual : 0.51362367
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MD | Reference material: RMC
Mean X : 37
Mean Y : 29.6
Predicted Y : 29.328734
Residual : 0.27126619
Prediction SE : 2.0476812
Lower : 25.315352
Upper : 33.342115
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3039134
Relative residual : -0.20804003
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MD | Reference material: RMD
Mean X : 41.7
Mean Y : 34.6
Predicted Y : 33.40471
Residual : 1.1952898
Prediction SE : 2.0679236
Lower : 29.351654
Upper : 37.457766
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3039134
Relative residual : -0.91669418
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MD | Reference material: RME
Mean X : 19
Mean Y : 13.2
Predicted Y : 13.718612
Residual : -0.51861158
Prediction SE : 2.0266778
Lower : 9.7463961
Upper : 17.690827
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3039134
Relative residual : 0.39773468
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MD | Reference material: RMF
Mean X : 20
Mean Y : 24.9
Predicted Y : 14.585841
Residual : 10.314159
Prediction SE : 2.0254538
Lower : 10.616024
Upper : 18.555657
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.3039134
Relative residual : -7.9101568
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MB vs MD | Reference material: RMG
Mean X : 21.1
Mean Y : 14.7
Predicted Y : 15.539793
Residual : -0.8397925
Prediction SE : 2.0244325
Lower : 11.571978
Upper : 19.507607
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3039134
Relative residual : 0.64405543
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs ME | Reference material: RMA
Mean X : 14.3
Mean Y : 12
Predicted Y : 11.738151
Residual : 0.26184855
Prediction SE : 2.2506522
Lower : 7.3269543
Upper : 16.149349
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.7693315
Relative residual : -0.14799293
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs ME | Reference material: RMB
Mean X : 26.9
Mean Y : 24.1
Predicted Y : 26.638706
Residual : -2.5387061
Prediction SE : 2.2314247
Lower : 22.265194
Upper : 31.012218
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.7693315
Relative residual : 1.4348392
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs ME | Reference material: RMC
Mean X : 37
Mean Y : 35.9
Predicted Y : 38.582802
Residual : -2.6828016
Prediction SE : 2.269839
Lower : 34.133999
Upper : 43.031604
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.7693315
Relative residual : 1.5162798
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs ME | Reference material: RMD
Mean X : 41.7
Mean Y : 43.5
Predicted Y : 44.140945
Residual : -0.64094498
Prediction SE : 2.3034874
Lower : 39.626193
Upper : 48.655697
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.7693315
Relative residual : 0.36225263
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs ME | Reference material: RME
Mean X : 19
Mean Y : 17.1
Predicted Y : 17.296295
Residual : -0.19629486
Prediction SE : 2.234748
Lower : 12.916269
Upper : 21.67632
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.7693315
Relative residual : 0.11094296
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs ME | Reference material: RMF
Mean X : 20
Mean Y : 23.4
Predicted Y : 18.478879
Residual : 4.9211214
Prediction SE : 2.2326972
Lower : 14.102872
Upper : 22.854885
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.7693315
Relative residual : -2.7813451
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MB vs ME | Reference material: RMG
Mean X : 21.1
Mean Y : 19
Predicted Y : 19.779721
Residual : -0.77972065
Prediction SE : 2.2309857
Lower : 15.407069
Upper : 24.152372
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.7693315
Relative residual : 0.44068659
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MF | Reference material: RMA
Mean X : 14.3
Mean Y : 9.5
Predicted Y : 9.5234244
Residual : -0.023424432
Prediction SE : 2.1098187
Lower : 5.3882557
Upper : 13.658593
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.4815125
Relative residual : 0.01581116
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MF | Reference material: RMB
Mean X : 26.9
Mean Y : 19
Predicted Y : 21.379279
Residual : -2.379279
Prediction SE : 2.0954497
Lower : 17.272273
Upper : 25.486285
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.4815125
Relative residual : 1.6059796
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MF | Reference material: RMC
Mean X : 37
Mean Y : 28.8
Predicted Y : 30.882781
Residual : -2.0827814
Prediction SE : 2.1241822
Lower : 26.719461
Upper : 35.046102
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.4815125
Relative residual : 1.405848
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MF | Reference material: RMD
Mean X : 41.7
Mean Y : 35.1
Predicted Y : 35.305203
Residual : -0.20520332
Prediction SE : 2.1494297
Lower : 31.092398
Upper : 39.518008
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.4815125
Relative residual : 0.13850934
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MF | Reference material: RME
Mean X : 19
Mean Y : 14
Predicted Y : 13.945846
Residual : 0.054153642
Prediction SE : 2.0979315
Lower : 9.8339762
Upper : 18.057716
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.4815125
Relative residual : -0.036552943
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MF | Reference material: RMF
Mean X : 20
Mean Y : 20
Predicted Y : 14.886787
Residual : 5.1132128
Prediction SE : 2.0963999
Lower : 10.777919
Upper : 18.995656
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.4815125
Relative residual : -3.4513463
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MB vs MF | Reference material: RMG
Mean X : 21.1
Mean Y : 15.5
Predicted Y : 15.921822
Residual : -0.42182211
Prediction SE : 2.0951219
Lower : 11.815459
Upper : 20.028186
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.4815125
Relative residual : 0.28472396
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MG | Reference material: RMA
Mean X : 14.3
Mean Y : 9.1
Predicted Y : 10.258893
Residual : -1.1588934
Prediction SE : 2.0417754
Lower : 6.2570871
Upper : 14.2607
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3243523
Relative residual : 0.87506425
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MG | Reference material: RMB
Mean X : 26.9
Mean Y : 19.1
Predicted Y : 22.585638
Residual : -3.485638
Prediction SE : 2.0299559
Lower : 18.606998
Upper : 26.564278
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3243523
Relative residual : 2.6319567
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MG | Reference material: RMC
Mean X : 37
Mean Y : 28.8
Predicted Y : 32.4666
Residual : -3.6665999
Prediction SE : 2.0536024
Lower : 28.441613
Upper : 36.491587
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3243523
Relative residual : 2.7685985
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MG | Reference material: RMD
Mean X : 41.7
Mean Y : 35.8
Predicted Y : 37.064671
Residual : -1.2646713
Prediction SE : 2.0744201
Lower : 32.998883
Upper : 41.13046
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3243523
Relative residual : 0.95493567
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MG | Reference material: RME
Mean X : 19
Mean Y : 14.8
Predicted Y : 14.856965
Residual : -0.056964779
Prediction SE : 2.0319964
Lower : 10.874325
Upper : 18.839605
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3243523
Relative residual : 0.043013311
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MG | Reference material: RMF
Mean X : 20
Mean Y : 20.1
Predicted Y : 15.835278
Residual : 4.2647222
Prediction SE : 2.0307371
Lower : 11.855106
Upper : 19.815449
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.3243523
Relative residual : -3.2202323
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MB vs MG | Reference material: RMG
Mean X : 21.1
Mean Y : 16.4
Predicted Y : 16.911422
Residual : -0.51142221
Prediction SE : 2.0296864
Lower : 12.93331
Upper : 20.889534
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3243523
Relative residual : 0.38616779
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MH | Reference material: RMA
Mean X : 14.3
Mean Y : 9.1
Predicted Y : 10.261341
Residual : -1.1613407
Prediction SE : 2.1068302
Lower : 6.1320295
Upper : 14.390652
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3241455
Relative residual : 0.87704921
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MH | Reference material: RMB
Mean X : 26.9
Mean Y : 19.1
Predicted Y : 22.584853
Residual : -3.484853
Prediction SE : 2.0953837
Lower : 18.477976
Upper : 26.691729
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3241455
Relative residual : 2.631775
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MH | Reference material: RMC
Mean X : 37
Mean Y : 28.8
Predicted Y : 32.463224
Residual : -3.6632239
Prediction SE : 2.118288
Lower : 28.311456
Upper : 36.614992
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3241455
Relative residual : 2.7664814
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MH | Reference material: RMD
Mean X : 41.7
Mean Y : 35.8
Predicted Y : 37.06009
Residual : -1.2600895
Prediction SE : 2.1384655
Lower : 32.868774
Upper : 41.251405
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3241455
Relative residual : 0.9516247
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MH | Reference material: RME
Mean X : 19
Mean Y : 14.8
Predicted Y : 14.858206
Residual : -0.058206417
Prediction SE : 2.0973595
Lower : 10.747457
Upper : 18.968956
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3241455
Relative residual : 0.043957721
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MH | Reference material: RMF
Mean X : 20
Mean Y : 20.1
Predicted Y : 15.836263
Residual : 4.2637371
Prediction SE : 2.0961401
Lower : 11.727904
Upper : 19.944622
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.3241455
Relative residual : -3.2199914
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MB vs MH | Reference material: RMG
Mean X : 21.1
Mean Y : 16.4
Predicted Y : 16.912125
Residual : -0.51212512
Prediction SE : 2.0951227
Lower : 12.80576
Upper : 21.01849
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3241455
Relative residual : 0.38675895
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MI | Reference material: RMA
Mean X : 14.3
Mean Y : 9.8
Predicted Y : 10.600736
Residual : -0.80073593
Prediction SE : 2.0291672
Lower : 6.6236413
Upper : 14.577831
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.328052
Relative residual : 0.6029402
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MI | Reference material: RMB
Mean X : 26.9
Mean Y : 19.5
Predicted Y : 22.750707
Residual : -3.2507073
Prediction SE : 2.0172357
Lower : 18.796998
Upper : 26.704417
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.328052
Relative residual : 2.447726
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MI | Reference material: RMC
Mean X : 37
Mean Y : 28.6
Predicted Y : 32.48997
Residual : -3.8899701
Prediction SE : 2.0411051
Lower : 28.489478
Upper : 36.490463
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.328052
Relative residual : 2.9290797
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MI | Reference material: RMD
Mean X : 41.7
Mean Y : 35
Predicted Y : 37.022102
Residual : -2.0221023
Prediction SE : 2.0621154
Lower : 32.98043
Upper : 41.063774
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.328052
Relative residual : 1.5226078
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MI | Reference material: RME
Mean X : 19
Mean Y : 15
Predicted Y : 15.132868
Residual : -0.13286812
Prediction SE : 2.0192957
Lower : 11.175121
Upper : 19.090615
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.328052
Relative residual : 0.10004738
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MI | Reference material: RMF
Mean X : 20
Mean Y : 26
Predicted Y : 16.097152
Residual : 9.9028484
Prediction SE : 2.0180244
Lower : 12.141896
Upper : 20.052407
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.328052
Relative residual : -7.4566723
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MB vs MI | Reference material: RMG
Mean X : 21.1
Mean Y : 16.7
Predicted Y : 17.157863
Residual : -0.45786336
Prediction SE : 2.0169637
Lower : 13.204687
Upper : 21.11104
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.328052
Relative residual : 0.34476313
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MJ | Reference material: RMA
Mean X : 14.3
Mean Y : 8.5
Predicted Y : 8.2927606
Residual : 0.20723939
Prediction SE : 1.9994154
Lower : 4.3739784
Upper : 12.211543
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.2369884
Relative residual : -0.16753544
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MJ | Reference material: RMB
Mean X : 26.9
Mean Y : 17
Predicted Y : 18.752133
Residual : -1.7521334
Prediction SE : 1.9888809
Lower : 14.853998
Upper : 22.650268
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.2369884
Relative residual : 1.416451
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MJ | Reference material: RMC
Mean X : 37
Mean Y : 25.3
Predicted Y : 27.136234
Residual : -1.8362338
Prediction SE : 2.0099621
Lower : 23.196781
Upper : 31.075687
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.2369884
Relative residual : 1.484439
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MJ | Reference material: RMD
Mean X : 41.7
Mean Y : 30.6
Predicted Y : 31.037746
Residual : -0.43774585
Prediction SE : 2.0285391
Lower : 27.061882
Upper : 35.013609
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.2369884
Relative residual : 0.35388033
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MJ | Reference material: RME
Mean X : 19
Mean Y : 12
Predicted Y : 12.194273
Residual : -0.19427268
Prediction SE : 1.9906992
Lower : 8.292574
Upper : 16.095971
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.2369884
Relative residual : 0.15705296
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MB vs MJ | Reference material: RMF
Mean X : 20
Mean Y : 21
Predicted Y : 13.024382
Residual : 7.9756184
Prediction SE : 1.989577
Lower : 9.1248823
Upper : 16.923881
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.2369884
Relative residual : -6.4476099
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MB
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MB vs MJ | Reference material: RMG
Mean X : 21.1
Mean Y : 13.4
Predicted Y : 13.937501
Residual : -0.53750148
Prediction SE : 1.9886408
Lower : 10.039837
Upper : 17.835166
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.2369884
Relative residual : 0.43452428
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MB
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MD | Reference material: RMA
Mean X : 11.3
Mean Y : 11.4
Predicted Y : 9.1398201
Residual : 2.2601799
Prediction SE : 1.9903325
Lower : 5.2388401
Upper : 13.0408
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.2844594
Relative residual : -1.7596351
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MD | Reference material: RMB
Mean X : 22.7
Mean Y : 19.9
Predicted Y : 18.101523
Residual : 1.798477
Prediction SE : 1.9760116
Lower : 14.228611
Upper : 21.974434
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.2844594
Relative residual : -1.4001821
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MD | Reference material: RMC
Mean X : 33.6
Mean Y : 29.6
Predicted Y : 26.670169
Residual : 2.9298313
Prediction SE : 1.990261
Lower : 22.769329
Upper : 30.571008
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.2844594
Relative residual : -2.280984
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MC
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MD | Reference material: RMD
Mean X : 40.3
Mean Y : 34.6
Predicted Y : 31.937134
Residual : 2.6628656
Prediction SE : 2.0123727
Lower : 27.992956
Upper : 35.881312
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.2844594
Relative residual : -2.0731411
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MC
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MD | Reference material: RME
Mean X : 17.3
Mean Y : 13.2
Predicted Y : 13.856506
Residual : -0.65650583
Prediction SE : 1.9790793
Lower : 9.9775816
Upper : 17.73543
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.2844594
Relative residual : 0.51111451
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MD | Reference material: RMF
Mean X : 23.3
Mean Y : 24.9
Predicted Y : 18.573192
Residual : 6.3268085
Prediction SE : 1.9760858
Lower : 14.700135
Upper : 22.446248
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.2844594
Relative residual : -4.9256586
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MC
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MC vs MD | Reference material: RMG
Mean X : 19.2
Mean Y : 14.7
Predicted Y : 15.350123
Residual : -0.65012297
Prediction SE : 1.9772339
Lower : 11.474816
Upper : 19.22543
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.2844594
Relative residual : 0.50614521
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs ME | Reference material: RMA
Mean X : 11.3
Mean Y : 12
Predicted Y : 11.05559
Residual : 0.94440982
Prediction SE : 2.1638751
Lower : 6.814473
Upper : 15.296707
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.5852203
Relative residual : -0.59575935
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs ME | Reference material: RMB
Mean X : 22.7
Mean Y : 24.1
Predicted Y : 23.27292
Residual : 0.82707984
Prediction SE : 2.143768
Lower : 19.071212
Upper : 27.474628
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.5852203
Relative residual : -0.52174441
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs ME | Reference material: RMC
Mean X : 33.6
Mean Y : 35.9
Predicted Y : 34.954402
Residual : 0.94559766
Prediction SE : 2.1637748
Lower : 30.713482
Upper : 39.195323
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.5852203
Relative residual : -0.59650867
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs ME | Reference material: RMD
Mean X : 40.3
Mean Y : 43.5
Predicted Y : 42.134763
Residual : 1.3652371
Prediction SE : 2.1947388
Lower : 37.833154
Upper : 46.436372
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.5852203
Relative residual : -0.86122859
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs ME | Reference material: RME
Mean X : 17.3
Mean Y : 17.1
Predicted Y : 17.485764
Residual : -0.38576386
Prediction SE : 2.1480788
Lower : 13.275607
Upper : 21.695921
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.5852203
Relative residual : 0.24335031
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs ME | Reference material: RMF
Mean X : 23.3
Mean Y : 23.4
Predicted Y : 23.915938
Residual : -0.51593753
Prediction SE : 2.1438723
Lower : 19.714025
Upper : 28.11785
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.5852203
Relative residual : 0.3254674
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs ME | Reference material: RMG
Mean X : 19.2
Mean Y : 19
Predicted Y : 19.521986
Residual : -0.52198552
Prediction SE : 2.1454858
Lower : 15.316911
Upper : 23.72706
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.5852203
Relative residual : 0.32928264
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MF | Reference material: RMA
Mean X : 11.3
Mean Y : 9.5
Predicted Y : 8.9794215
Residual : 0.5205785
Prediction SE : 2.0538816
Lower : 4.9538876
Upper : 13.004955
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3856472
Relative residual : -0.37569339
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MF | Reference material: RMB
Mean X : 22.7
Mean Y : 19
Predicted Y : 18.701259
Residual : 0.29874091
Prediction SE : 2.0376962
Lower : 14.707448
Upper : 22.69507
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3856472
Relative residual : -0.21559666
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MF | Reference material: RMC
Mean X : 33.6
Mean Y : 28.8
Predicted Y : 27.9967
Residual : 0.8032997
Prediction SE : 2.0538008
Lower : 23.971325
Upper : 32.022076
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3856472
Relative residual : -0.57972887
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MF | Reference material: RMD
Mean X : 40.3
Mean Y : 35.1
Predicted Y : 33.710412
Residual : 1.3895881
Prediction SE : 2.0787697
Lower : 29.636098
Upper : 37.784726
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3856472
Relative residual : -1.0028441
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MF | Reference material: RME
Mean X : 17.3
Mean Y : 14
Predicted Y : 14.096178
Residual : -0.09617813
Prediction SE : 2.0411643
Lower : 10.09557
Upper : 18.096787
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3856472
Relative residual : 0.069410257
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MF | Reference material: RMF
Mean X : 23.3
Mean Y : 20
Predicted Y : 19.212935
Residual : 0.78706524
Prediction SE : 2.0377801
Lower : 15.218959
Upper : 23.20691
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3856472
Relative residual : -0.56801272
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MF | Reference material: RMG
Mean X : 19.2
Mean Y : 15.5
Predicted Y : 15.716484
Residual : -0.21648439
Prediction SE : 2.0390781
Lower : 11.719965
Upper : 19.713004
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.3856472
Relative residual : 0.15623341
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MG | Reference material: RMA
Mean X : 11.3
Mean Y : 9.1
Predicted Y : 9.6905532
Residual : -0.59055316
Prediction SE : 1.9783801
Lower : 5.8129995
Upper : 13.568107
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1973364
Relative residual : 0.49322241
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MG | Reference material: RMB
Mean X : 22.7
Mean Y : 19.1
Predicted Y : 19.80131
Residual : -0.70131041
Prediction SE : 1.9658813
Lower : 15.948254
Upper : 23.654367
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1973364
Relative residual : 0.58572544
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MG | Reference material: RMC
Mean X : 33.6
Mean Y : 28.8
Predicted Y : 29.468613
Residual : -0.6686134
Prediction SE : 1.9783176
Lower : 25.591182
Upper : 33.346045
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1973364
Relative residual : 0.55841732
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MG | Reference material: RMD
Mean X : 40.3
Mean Y : 35.8
Predicted Y : 35.410901
Residual : 0.38909944
Prediction SE : 1.9976373
Lower : 31.495603
Upper : 39.326198
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1973364
Relative residual : -0.32497085
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MG | Reference material: RME
Mean X : 17.3
Mean Y : 14.8
Predicted Y : 15.012004
Residual : -0.21200435
Prediction SE : 1.9685578
Lower : 11.153702
Upper : 18.870307
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1973364
Relative residual : 0.17706331
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MG | Reference material: RMF
Mean X : 23.3
Mean Y : 20.1
Predicted Y : 20.333456
Residual : -0.23345553
Prediction SE : 1.965946
Lower : 16.480272
Upper : 24.186639
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1973364
Relative residual : 0.19497906
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MG | Reference material: RMG
Mean X : 19.2
Mean Y : 16.4
Predicted Y : 16.697131
Residual : -0.29713055
Prediction SE : 1.9669477
Lower : 12.841984
Upper : 20.552277
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1973364
Relative residual : 0.24815962
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MH | Reference material: RMA
Mean X : 11.3
Mean Y : 9.1
Predicted Y : 9.6927541
Residual : -0.59275409
Prediction SE : 2.0455194
Lower : 5.6836097
Upper : 13.701898
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1971996
Relative residual : 0.4951172
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MH | Reference material: RMB
Mean X : 22.7
Mean Y : 19.1
Predicted Y : 19.801264
Residual : -0.70126389
Prediction SE : 2.0334388
Lower : 15.815797
Upper : 23.786731
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1971996
Relative residual : 0.58575355
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MH | Reference material: RMC
Mean X : 33.6
Mean Y : 28.8
Predicted Y : 29.466418
Residual : -0.66641799
Prediction SE : 2.045459
Lower : 25.457392
Upper : 33.475444
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1971996
Relative residual : 0.55664737
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MH | Reference material: RMD
Mean X : 40.3
Mean Y : 35.8
Predicted Y : 35.407384
Residual : 0.39261573
Prediction SE : 2.0641421
Lower : 31.36174
Upper : 39.453028
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1971996
Relative residual : -0.3279451
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MH | Reference material: RME
Mean X : 17.3
Mean Y : 14.8
Predicted Y : 15.013022
Residual : -0.21302241
Prediction SE : 2.0360253
Lower : 11.022486
Upper : 19.003559
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1971996
Relative residual : 0.17793392
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MH | Reference material: RMF
Mean X : 23.3
Mean Y : 20.1
Predicted Y : 20.333291
Residual : -0.23329072
Prediction SE : 2.0335013
Lower : 16.347701
Upper : 24.31888
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1971996
Relative residual : 0.19486369
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MH | Reference material: RMG
Mean X : 19.2
Mean Y : 16.4
Predicted Y : 16.697774
Residual : -0.29777404
Prediction SE : 2.0344693
Lower : 12.710288
Upper : 20.68526
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1971996
Relative residual : 0.24872548
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MI | Reference material: RMA
Mean X : 11.3
Mean Y : 9.8
Predicted Y : 10.032479
Residual : -0.23247916
Prediction SE : 1.9638332
Lower : 6.1834368
Upper : 13.881522
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1089276
Relative residual : 0.20964322
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MI | Reference material: RMB
Mean X : 22.7
Mean Y : 19.5
Predicted Y : 20.006479
Residual : -0.5064793
Prediction SE : 1.9530739
Lower : 16.178525
Upper : 23.834434
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1089276
Relative residual : 0.45672891
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MI | Reference material: RMC
Mean X : 33.6
Mean Y : 28.6
Predicted Y : 29.543023
Residual : -0.9430233
Prediction SE : 1.9637794
Lower : 25.694086
Upper : 33.39196
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1089276
Relative residual : 0.85039211
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MI | Reference material: RMD
Mean X : 40.3
Mean Y : 35
Predicted Y : 35.404936
Residual : -0.40493566
Prediction SE : 1.980428
Lower : 31.523368
Upper : 39.286503
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1089276
Relative residual : 0.36515969
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MI | Reference material: RME
Mean X : 17.3
Mean Y : 15
Predicted Y : 15.281953
Residual : -0.28195292
Prediction SE : 1.9553771
Lower : 11.449484
Upper : 19.114422
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1089276
Relative residual : 0.25425728
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MI | Reference material: RMF
Mean X : 23.3
Mean Y : 26
Predicted Y : 20.531427
Residual : 5.4685733
Prediction SE : 1.9531296
Lower : 16.703363
Upper : 24.35949
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.1089276
Relative residual : -4.9314069
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MC
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MC vs MI | Reference material: RMG
Mean X : 19.2
Mean Y : 16.7
Predicted Y : 16.944286
Residual : -0.24428627
Prediction SE : 1.9539915
Lower : 13.114533
Upper : 20.774039
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1089276
Relative residual : 0.22029055
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MJ | Reference material: RMA
Mean X : 11.3
Mean Y : 8.5
Predicted Y : 7.8093287
Residual : 0.69067131
Prediction SE : 1.95222
Lower : 3.9830478
Upper : 11.63561
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1135031
Relative residual : -0.62026885
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MJ | Reference material: RMB
Mean X : 22.7
Mean Y : 17
Predicted Y : 16.389627
Residual : 0.61037277
Prediction SE : 1.9412694
Lower : 12.584809
Upper : 20.194445
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1135031
Relative residual : -0.54815541
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MJ | Reference material: RMC
Mean X : 33.6
Mean Y : 25.3
Predicted Y : 24.593597
Residual : 0.70640311
Prediction SE : 1.9521652
Lower : 20.767423
Upper : 28.41977
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1135031
Relative residual : -0.63439706
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MJ | Reference material: RMD
Mean X : 40.3
Mean Y : 30.6
Predicted Y : 29.636404
Residual : 0.96359607
Prediction SE : 1.969107
Lower : 25.777025
Upper : 33.495783
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1135031
Relative residual : -0.86537348
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MJ | Reference material: RME
Mean X : 17.3
Mean Y : 12
Predicted Y : 12.325275
Residual : -0.32527529
Prediction SE : 1.9436137
Lower : 8.5158625
Upper : 16.134688
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1135031
Relative residual : 0.29211889
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MC vs MJ | Reference material: RMF
Mean X : 23.3
Mean Y : 21
Predicted Y : 16.841222
Residual : 4.1587781
Prediction SE : 1.9413261
Lower : 13.036293
Upper : 20.646151
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.1135031
Relative residual : -3.7348598
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MC
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MC vs MJ | Reference material: RMG
Mean X : 19.2
Mean Y : 13.4
Predicted Y : 13.755325
Residual : -0.35532505
Prediction SE : 1.9422033
Lower : 9.9486765
Upper : 17.561974
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1135031
Relative residual : 0.31910557
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MC
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs ME | Reference material: RMA
Mean X : 11.4
Mean Y : 12
Predicted Y : 14.159035
Residual : -2.1590353
Prediction SE : 2.5863658
Lower : 9.0898515
Upper : 19.228219
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.83905695
Relative residual : 2.5731689
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs ME | Reference material: RMB
Mean X : 19.9
Mean Y : 24.1
Predicted Y : 25.717998
Residual : -1.6179979
Prediction SE : 2.5840483
Lower : 20.653356
Upper : 30.78264
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.83905695
Relative residual : 1.9283529
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs ME | Reference material: RMC
Mean X : 29.6
Mean Y : 35.9
Predicted Y : 38.908814
Residual : -3.008814
Prediction SE : 2.5920155
Lower : 33.828557
Upper : 43.989071
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.83905695
Relative residual : 3.5859473
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs ME | Reference material: RMD
Mean X : 34.6
Mean Y : 43.5
Predicted Y : 45.708204
Residual : -2.2082038
Prediction SE : 2.6005121
Lower : 40.611294
Upper : 50.805114
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.83905695
Relative residual : 2.6317687
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs ME | Reference material: RME
Mean X : 13.2
Mean Y : 17.1
Predicted Y : 16.606816
Residual : 0.49318443
Prediction SE : 2.5851498
Lower : 11.540015
Upper : 21.673616
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.83905695
Relative residual : -0.58778422
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs ME | Reference material: RMF
Mean X : 24.9
Mean Y : 23.4
Predicted Y : 32.517388
Residual : -9.1173876
Prediction SE : 2.5867457
Lower : 27.447459
Upper : 37.587316
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.83905695
Relative residual : 10.866232
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MD vs ME | Reference material: RMG
Mean X : 14.7
Mean Y : 19
Predicted Y : 18.646632
Residual : 0.3533675
Prediction SE : 2.5844339
Lower : 13.581235
Upper : 23.71203
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.83905695
Relative residual : -0.42114841
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : ME
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MF | Reference material: RMA
Mean X : 11.4
Mean Y : 9.5
Predicted Y : 11.436682
Residual : -1.9366822
Prediction SE : 2.346992
Lower : 6.8366624
Upper : 16.036702
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0101669
Relative residual : 1.9171903
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MF | Reference material: RMB
Mean X : 19.9
Mean Y : 19
Predicted Y : 20.650648
Residual : -1.650648
Prediction SE : 2.3432735
Lower : 16.057916
Upper : 25.24338
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0101669
Relative residual : 1.634035
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MF | Reference material: RMC
Mean X : 29.6
Mean Y : 28.8
Predicted Y : 31.165409
Residual : -2.365409
Prediction SE : 2.3560467
Lower : 26.547642
Upper : 35.783176
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0101669
Relative residual : 2.3416022
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MF | Reference material: RMD
Mean X : 34.6
Mean Y : 35.1
Predicted Y : 36.585389
Residual : -1.4853889
Prediction SE : 2.369636
Lower : 31.940988
Upper : 41.22979
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0101669
Relative residual : 1.4704391
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MF | Reference material: RME
Mean X : 13.2
Mean Y : 14
Predicted Y : 13.387875
Residual : 0.61212504
Prediction SE : 2.3450411
Lower : 8.7916788
Upper : 17.984071
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0101669
Relative residual : -0.60596427
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MF | Reference material: RMF
Mean X : 24.9
Mean Y : 20
Predicted Y : 26.070628
Residual : -6.0706279
Prediction SE : 2.3476013
Lower : 21.469414
Upper : 30.671842
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.0101669
Relative residual : 6.0095297
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MD vs MF | Reference material: RMG
Mean X : 14.7
Mean Y : 15.5
Predicted Y : 15.013869
Residual : 0.48613107
Prediction SE : 2.3438923
Lower : 10.419924
Upper : 19.607813
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0101669
Relative residual : -0.48123837
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MG | Reference material: RMA
Mean X : 11.4
Mean Y : 9.1
Predicted Y : 12.253353
Residual : -3.1533527
Prediction SE : 2.3088294
Lower : 7.7281302
Upper : 16.778575
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.87608703
Relative residual : 3.5993601
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MG | Reference material: RMB
Mean X : 19.9
Mean Y : 19.1
Predicted Y : 21.826481
Residual : -2.7264807
Prediction SE : 2.3059927
Lower : 17.306818
Upper : 26.346143
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.87608703
Relative residual : 3.1121117
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MG | Reference material: RMC
Mean X : 29.6
Mean Y : 28.8
Predicted Y : 32.751109
Residual : -3.9511092
Prediction SE : 2.3157411
Lower : 28.21234
Upper : 37.289878
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.87608703
Relative residual : 4.5099506
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MG | Reference material: RMD
Mean X : 34.6
Mean Y : 35.8
Predicted Y : 38.382361
Residual : -2.582361
Prediction SE : 2.3261251
Lower : 33.82324
Upper : 42.941482
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.87608703
Relative residual : 2.9476079
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MG | Reference material: RME
Mean X : 13.2
Mean Y : 14.8
Predicted Y : 14.280603
Residual : 0.5193967
Prediction SE : 2.307341
Lower : 9.758298
Upper : 18.802909
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.87608703
Relative residual : -0.59285971
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MG | Reference material: RMF
Mean X : 24.9
Mean Y : 20.1
Predicted Y : 27.457733
Residual : -7.3577325
Prediction SE : 2.3092943
Lower : 22.931599
Upper : 31.983866
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.87608703
Relative residual : 8.3984037
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MD vs MG | Reference material: RMG
Mean X : 14.7
Mean Y : 16.4
Predicted Y : 15.969979
Residual : 0.43002116
Prediction SE : 2.3064647
Lower : 11.449391
Upper : 20.490567
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.87608703
Relative residual : -0.49084297
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MH | Reference material: RMA
Mean X : 11.4
Mean Y : 9.1
Predicted Y : 12.254145
Residual : -3.1541448
Prediction SE : 2.3666331
Lower : 7.6156291
Upper : 16.89266
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.87602552
Relative residual : 3.600517
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MH | Reference material: RMB
Mean X : 19.9
Mean Y : 19.1
Predicted Y : 21.82624
Residual : -2.7262395
Prediction SE : 2.3638664
Lower : 17.193147
Upper : 26.459332
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.87602552
Relative residual : 3.1120549
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MH | Reference material: RMC
Mean X : 29.6
Mean Y : 28.8
Predicted Y : 32.749689
Residual : -3.9496888
Prediction SE : 2.373375
Lower : 28.097959
Upper : 37.401418
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.87602552
Relative residual : 4.5086458
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MH | Reference material: RMD
Mean X : 34.6
Mean Y : 35.8
Predicted Y : 38.380333
Residual : -2.5803328
Prediction SE : 2.3835058
Lower : 33.708747
Upper : 43.051918
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.87602552
Relative residual : 2.9454996
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MH | Reference material: RME
Mean X : 13.2
Mean Y : 14.8
Predicted Y : 14.281177
Residual : 0.51882339
Prediction SE : 2.3651814
Lower : 9.6455062
Upper : 18.916847
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.87602552
Relative residual : -0.59224689
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MH | Reference material: RMF
Mean X : 24.9
Mean Y : 20.1
Predicted Y : 27.456883
Residual : -7.3568835
Prediction SE : 2.3670866
Lower : 22.817479
Upper : 32.096288
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.87602552
Relative residual : 8.3980241
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MD vs MH | Reference material: RMG
Mean X : 14.7
Mean Y : 16.4
Predicted Y : 15.97037
Residual : 0.4296302
Prediction SE : 2.3643267
Lower : 11.336375
Upper : 20.604365
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.87602552
Relative residual : -0.49043114
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MI | Reference material: RMA
Mean X : 11.4
Mean Y : 9.8
Predicted Y : 12.555309
Residual : -2.7553091
Prediction SE : 2.2970197
Lower : 8.0532333
Upper : 17.057385
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0821696
Relative residual : 2.5460973
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MI | Reference material: RMB
Mean X : 19.9
Mean Y : 19.5
Predicted Y : 22.005873
Residual : -2.5058727
Prediction SE : 2.2926602
Lower : 17.512341
Upper : 26.499404
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0821696
Relative residual : 2.3156007
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MI | Reference material: RMC
Mean X : 29.6
Mean Y : 28.6
Predicted Y : 32.790634
Residual : -4.1906335
Prediction SE : 2.3076294
Lower : 28.267763
Upper : 37.313504
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0821696
Relative residual : 3.8724368
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MI | Reference material: RMD
Mean X : 34.6
Mean Y : 35
Predicted Y : 38.349789
Residual : -3.3497886
Prediction SE : 2.3235373
Lower : 33.795739
Upper : 42.903838
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0821696
Relative residual : 3.0954376
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MI | Reference material: RME
Mean X : 13.2
Mean Y : 15
Predicted Y : 14.556605
Residual : 0.44339505
Prediction SE : 2.2947327
Lower : 10.059011
Upper : 19.054198
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0821696
Relative residual : -0.40972786
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MI | Reference material: RMF
Mean X : 24.9
Mean Y : 26
Predicted Y : 27.565028
Residual : -1.5650278
Prediction SE : 2.2977339
Lower : 23.061552
Upper : 32.068503
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0821696
Relative residual : 1.4461945
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MI | Reference material: RMG
Mean X : 14.7
Mean Y : 16.7
Predicted Y : 16.224351
Residual : 0.47564853
Prediction SE : 2.2933858
Lower : 11.729398
Upper : 20.719305
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0821696
Relative residual : -0.43953232
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MJ | Reference material: RMA
Mean X : 11.4
Mean Y : 8.5
Predicted Y : 9.9788234
Residual : -1.4788234
Prediction SE : 2.1926862
Lower : 5.6812375
Upper : 14.276409
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.57964829
Relative residual : 2.5512426
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MJ | Reference material: RMB
Mean X : 19.9
Mean Y : 17
Predicted Y : 18.109886
Residual : -1.1098856
Prediction SE : 2.1913825
Lower : 13.814855
Upper : 22.404916
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.57964829
Relative residual : 1.9147569
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MJ | Reference material: RMC
Mean X : 29.6
Mean Y : 25.3
Predicted Y : 27.388862
Residual : -2.0888624
Prediction SE : 2.1958659
Lower : 23.085044
Upper : 31.69268
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.57964829
Relative residual : 3.6036721
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MJ | Reference material: RMD
Mean X : 34.6
Mean Y : 30.6
Predicted Y : 32.17184
Residual : -1.5718401
Prediction SE : 2.2006524
Lower : 27.858641
Upper : 36.485039
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.57964829
Relative residual : 2.7117135
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MJ | Reference material: RME
Mean X : 13.2
Mean Y : 12
Predicted Y : 11.700695
Residual : 0.29930459
Prediction SE : 2.1920021
Lower : 7.4044503
Upper : 15.996941
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.57964829
Relative residual : -0.51635551
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MJ | Reference material: RMF
Mean X : 24.9
Mean Y : 21
Predicted Y : 22.892863
Residual : -1.8928633
Prediction SE : 2.1928999
Lower : 18.594858
Upper : 27.190868
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.57964829
Relative residual : 3.2655376
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MD
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MD vs MJ | Reference material: RMG
Mean X : 14.7
Mean Y : 13.4
Predicted Y : 13.135589
Residual : 0.26441127
Prediction SE : 2.1915994
Lower : 8.8401329
Upper : 17.431045
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.57964829
Relative residual : -0.45615812
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MD
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MF | Reference material: RMA
Mean X : 12
Mean Y : 9.5
Predicted Y : 9.7214603
Residual : -0.22146028
Prediction SE : 1.9560546
Lower : 5.8876637
Upper : 13.555257
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.77523923
Relative residual : 0.28566702
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MF | Reference material: RMB
Mean X : 24.1
Mean Y : 19
Predicted Y : 19.360329
Residual : -0.36032876
Prediction SE : 1.951629
Lower : 15.535206
Upper : 23.185451
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.77523923
Relative residual : 0.46479686
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MF | Reference material: RMC
Mean X : 35.9
Mean Y : 28.8
Predicted Y : 28.760217
Residual : 0.039782979
Prediction SE : 1.9576878
Lower : 24.923219
Upper : 32.597215
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.77523923
Relative residual : -0.051317036
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MF | Reference material: RMD
Mean X : 43.5
Mean Y : 35.1
Predicted Y : 34.814382
Residual : 0.28561766
Prediction SE : 1.9669765
Lower : 30.959179
Upper : 38.669585
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.77523923
Relative residual : -0.36842519
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MF | Reference material: RME
Mean X : 17.1
Mean Y : 14
Predicted Y : 13.784124
Residual : 0.21587615
Prediction SE : 1.9528767
Lower : 9.9565559
Upper : 17.611692
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.77523923
Relative residual : -0.27846391
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MF | Reference material: RMF
Mean X : 23.4
Mean Y : 20
Predicted Y : 18.802708
Residual : 1.1972917
Prediction SE : 1.9515914
Lower : 14.977659
Upper : 22.627757
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.77523923
Relative residual : -1.5444158
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MF | Reference material: RMG
Mean X : 19
Mean Y : 15.5
Predicted Y : 15.297665
Residual : 0.20233482
Prediction SE : 1.9521813
Lower : 11.47146
Upper : 19.12387
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.77523923
Relative residual : -0.26099662
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MF
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MG | Reference material: RMA
Mean X : 12
Mean Y : 9.1
Predicted Y : 10.468498
Residual : -1.3684984
Prediction SE : 1.8733729
Lower : 6.796755
Upper : 14.140242
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.52435434
Relative residual : 2.6098733
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : ME
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MG | Reference material: RMB
Mean X : 24.1
Mean Y : 19.1
Predicted Y : 20.486136
Residual : -1.3861363
Prediction SE : 1.8712641
Lower : 16.818526
Upper : 24.153747
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.52435434
Relative residual : 2.6435106
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : ME
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MG | Reference material: RMC
Mean X : 35.9
Mean Y : 28.8
Predicted Y : 30.255403
Residual : -1.455403
Prediction SE : 1.8741517
Lower : 26.582133
Upper : 33.928673
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.52435434
Relative residual : 2.7756096
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : ME
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MG | Reference material: RMD
Mean X : 43.5
Mean Y : 35.8
Predicted Y : 36.547473
Residual : -0.74747302
Prediction SE : 1.8785874
Lower : 32.865509
Upper : 40.229437
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.52435434
Relative residual : 1.4255113
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MG | Reference material: RME
Mean X : 17.1
Mean Y : 14.8
Predicted Y : 14.690809
Residual : 0.10919142
Prediction SE : 1.8718584
Lower : 11.022034
Upper : 18.359584
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.52435434
Relative residual : -0.20823976
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MG | Reference material: RMF
Mean X : 23.4
Mean Y : 20.1
Predicted Y : 19.906604
Residual : 0.1933965
Prediction SE : 1.8712462
Lower : 16.239028
Upper : 23.574179
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.52435434
Relative residual : -0.36882788
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MG | Reference material: RMG
Mean X : 19
Mean Y : 16.4
Predicted Y : 16.263826
Residual : 0.1361739
Prediction SE : 1.8715272
Lower : 12.5957
Upper : 19.931952
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.52435434
Relative residual : -0.25969825
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MH | Reference material: RMA
Mean X : 12
Mean Y : 9.1
Predicted Y : 10.468884
Residual : -1.3688839
Prediction SE : 1.9443149
Lower : 6.6580966
Upper : 14.279671
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.52434405
Relative residual : 2.6106597
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : ME
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MH | Reference material: RMB
Mean X : 24.1
Mean Y : 19.1
Predicted Y : 20.486098
Residual : -1.3860985
Prediction SE : 1.9422834
Lower : 16.679293
Upper : 24.292904
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.52434405
Relative residual : 2.6434904
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : ME
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MH | Reference material: RMC
Mean X : 35.9
Mean Y : 28.8
Predicted Y : 30.254952
Residual : -1.4549524
Prediction SE : 1.9450653
Lower : 26.442694
Upper : 34.06721
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.52434405
Relative residual : 2.7748048
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : ME
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MH | Reference material: RMD
Mean X : 43.5
Mean Y : 35.8
Predicted Y : 36.546757
Residual : -0.74675661
Prediction SE : 1.9493392
Lower : 32.726122
Upper : 40.367391
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.52434405
Relative residual : 1.4241729
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MH | Reference material: RME
Mean X : 17.1
Mean Y : 14.8
Predicted Y : 14.691016
Residual : 0.10898433
Prediction SE : 1.9428558
Lower : 10.883088
Upper : 18.498943
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.52434405
Relative residual : -0.2078489
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MH | Reference material: RMF
Mean X : 23.4
Mean Y : 20.1
Predicted Y : 19.90659
Residual : 0.19340979
Prediction SE : 1.9422661
Lower : 16.099819
Upper : 23.713362
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.52434405
Relative residual : -0.36886046
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MH | Reference material: RMG
Mean X : 19
Mean Y : 16.4
Predicted Y : 16.263967
Residual : 0.13603328
Prediction SE : 1.9425367
Lower : 12.456665
Upper : 20.071269
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.52434405
Relative residual : -0.25943515
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MI | Reference material: RMA
Mean X : 12
Mean Y : 9.8
Predicted Y : 10.787694
Residual : -0.9876935
Prediction SE : 1.8675977
Lower : 7.1272692
Upper : 14.448118
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.63377684
Relative residual : 1.5584247
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MI | Reference material: RMB
Mean X : 24.1
Mean Y : 19.5
Predicted Y : 20.683239
Residual : -1.1832387
Prediction SE : 1.8645064
Lower : 17.028873
Upper : 24.337604
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.63377684
Relative residual : 1.8669643
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MI | Reference material: RMC
Mean X : 35.9
Mean Y : 28.6
Predicted Y : 30.33344
Residual : -1.7334399
Prediction SE : 1.868739
Lower : 26.670779
Upper : 33.996101
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.63377684
Relative residual : 2.7350951
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : ME
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MI | Reference material: RMD
Mean X : 43.5
Mean Y : 35
Predicted Y : 36.548824
Residual : -1.5488237
Prediction SE : 1.875235
Lower : 32.873431
Upper : 40.224217
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.63377684
Relative residual : 2.4437998
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : ME
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MI | Reference material: RME
Mean X : 17.1
Mean Y : 15
Predicted Y : 14.958543
Residual : 0.041456849
Prediction SE : 1.8653777
Lower : 11.30247
Upper : 18.614616
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.63377684
Relative residual : -0.065412376
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MI | Reference material: RMF
Mean X : 23.4
Mean Y : 26
Predicted Y : 20.110769
Residual : 5.8892308
Prediction SE : 1.8644801
Lower : 16.456455
Upper : 23.765083
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.63377684
Relative residual : -9.2922784
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : ME
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: ME vs MI | Reference material: RMG
Mean X : 19
Mean Y : 16.7
Predicted Y : 16.512389
Residual : 0.1876109
Prediction SE : 1.864892
Lower : 12.857268
Upper : 20.16751
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.63377684
Relative residual : -0.29602044
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MJ | Reference material: RMA
Mean X : 12
Mean Y : 8.5
Predicted Y : 8.4554778
Residual : 0.044522182
Prediction SE : 1.8695122
Lower : 4.7913012
Upper : 12.119654
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.021292767
Relative residual : -2.0909533
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : ME
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MJ | Reference material: RMB
Mean X : 24.1
Mean Y : 17
Predicted Y : 16.972167
Residual : 0.027832672
Prediction SE : 1.8695088
Lower : 13.307997
Upper : 20.636337
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.021292767
Relative residual : -1.3071421
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MJ | Reference material: RMC
Mean X : 35.9
Mean Y : 25.3
Predicted Y : 25.277699
Residual : 0.022300753
Prediction SE : 1.8695135
Lower : 21.61352
Upper : 28.941878
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.021292767
Relative residual : -1.0473394
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MJ | Reference material: RMD
Mean X : 43.5
Mean Y : 30.6
Predicted Y : 30.627025
Residual : -0.027024889
Prediction SE : 1.8695209
Lower : 26.962831
Upper : 34.291218
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.021292767
Relative residual : 1.2692051
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MJ | Reference material: RME
Mean X : 17.1
Mean Y : 12
Predicted Y : 12.045157
Residual : -0.045156868
Prediction SE : 1.8695097
Lower : 8.3809851
Upper : 15.709329
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.021292767
Relative residual : 2.1207609
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : ME
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: ME vs MJ | Reference material: RMF
Mean X : 23.4
Mean Y : 21
Predicted Y : 16.479466
Residual : 4.5205337
Prediction SE : 1.8695087
Lower : 12.815296
Upper : 20.143636
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.021292767
Relative residual : -212.30372
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : ME
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: ME vs MJ | Reference material: RMG
Mean X : 19
Mean Y : 13.4
Predicted Y : 13.382488
Residual : 0.017511721
Prediction SE : 1.8695092
Lower : 9.7183176
Upper : 17.046659
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.021292767
Relative residual : -0.82242581
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : ME
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MG | Reference material: RMA
Mean X : 9.5
Mean Y : 9.1
Predicted Y : 10.240497
Residual : -1.140497
Prediction SE : 2.2007093
Lower : 5.9271861
Upper : 14.553808
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.64093887
Relative residual : 1.7794162
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MG | Reference material: RMB
Mean X : 19
Mean Y : 19.1
Predicted Y : 20.111528
Residual : -1.0115279
Prediction SE : 2.1978711
Lower : 15.80378
Upper : 24.419276
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.64093887
Relative residual : 1.5781972
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MG | Reference material: RMC
Mean X : 28.8
Mean Y : 28.8
Predicted Y : 30.294276
Residual : -1.4942757
Prediction SE : 2.2015904
Lower : 25.979238
Upper : 34.609314
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.64093887
Relative residual : 2.3313856
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MF
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MG | Reference material: RMD
Mean X : 35.1
Mean Y : 35.8
Predicted Y : 36.840328
Residual : -1.0403277
Prediction SE : 2.2075326
Lower : 32.513643
Upper : 41.167012
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.64093887
Relative residual : 1.623131
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MG | Reference material: RME
Mean X : 14
Mean Y : 14.8
Predicted Y : 14.916249
Residual : -0.1162485
Prediction SE : 2.1985744
Lower : 10.607122
Upper : 19.225375
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.64093887
Relative residual : 0.18137221
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MG | Reference material: RMF
Mean X : 20
Mean Y : 20.1
Predicted Y : 21.150584
Residual : -1.0505838
Prediction SE : 2.1979414
Lower : 16.842698
Upper : 25.45847
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.64093887
Relative residual : 1.6391327
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MG | Reference material: RMG
Mean X : 15.5
Mean Y : 16.4
Predicted Y : 16.474832
Residual : -0.074832335
Prediction SE : 2.1981788
Lower : 12.166481
Upper : 20.783184
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.64093887
Relative residual : 0.11675425
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MG
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MH | Reference material: RMA
Mean X : 9.5
Mean Y : 9.1
Predicted Y : 10.241081
Residual : -1.1410813
Prediction SE : 2.2613564
Lower : 5.8089041
Upper : 14.673258
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.64091635
Relative residual : 1.7803904
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MH | Reference material: RMB
Mean X : 19
Mean Y : 19.1
Predicted Y : 20.111495
Residual : -1.0114955
Prediction SE : 2.2585948
Lower : 15.684731
Upper : 24.53826
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.64091635
Relative residual : 1.578202
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MH | Reference material: RMC
Mean X : 28.8
Mean Y : 28.8
Predicted Y : 30.293607
Residual : -1.4936069
Prediction SE : 2.2622138
Lower : 25.859749
Upper : 34.727465
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.64091635
Relative residual : 2.3304241
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MF
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MH | Reference material: RMD
Mean X : 35.1
Mean Y : 35.8
Predicted Y : 36.83925
Residual : -1.03925
Prediction SE : 2.2679965
Lower : 32.394059
Upper : 41.284441
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.64091635
Relative residual : 1.6215065
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MH | Reference material: RME
Mean X : 14
Mean Y : 14.8
Predicted Y : 14.916541
Residual : -0.11654066
Prediction SE : 2.2592791
Lower : 10.488435
Upper : 19.344646
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.64091635
Relative residual : 0.18183443
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MH | Reference material: RMF
Mean X : 20
Mean Y : 20.1
Predicted Y : 21.150486
Residual : -1.0504864
Prediction SE : 2.2586633
Lower : 16.723588
Upper : 25.577385
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.64091635
Relative residual : 1.6390383
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MH | Reference material: RMG
Mean X : 15.5
Mean Y : 16.4
Predicted Y : 16.475027
Residual : -0.075027106
Prediction SE : 2.2588942
Lower : 12.047676
Upper : 20.902378
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.64091635
Relative residual : 0.11706224
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MI | Reference material: RMA
Mean X : 9.5
Mean Y : 9.8
Predicted Y : 10.563394
Residual : -0.76339381
Prediction SE : 2.1878316
Lower : 6.2753227
Upper : 14.851465
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.70803357
Relative residual : 1.0781887
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MI | Reference material: RMB
Mean X : 19
Mean Y : 19.5
Predicted Y : 20.313145
Residual : -0.81314479
Prediction SE : 2.1843476
Lower : 16.031902
Upper : 24.594387
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.70803357
Relative residual : 1.1484551
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MI | Reference material: RMC
Mean X : 28.8
Mean Y : 28.6
Predicted Y : 30.370783
Residual : -1.7707826
Prediction SE : 2.188913
Lower : 26.080592
Upper : 34.660973
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.70803357
Relative residual : 2.5009868
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MF
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MI | Reference material: RMD
Mean X : 35.1
Mean Y : 35
Predicted Y : 36.836407
Residual : -1.836407
Prediction SE : 2.1962033
Lower : 32.531928
Upper : 41.140886
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.70803357
Relative residual : 2.5936722
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MF
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MI | Reference material: RME
Mean X : 14
Mean Y : 15
Predicted Y : 15.181697
Residual : -0.18169691
Prediction SE : 2.185211
Lower : 10.898762
Upper : 19.464632
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.70803357
Relative residual : 0.25662188
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MI | Reference material: RMF
Mean X : 20
Mean Y : 26
Predicted Y : 21.339434
Residual : 4.6605656
Prediction SE : 2.184434
Lower : 17.058022
Upper : 25.620846
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.70803357
Relative residual : -6.5824078
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MF
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MF vs MI | Reference material: RMG
Mean X : 15.5
Mean Y : 16.7
Predicted Y : 16.721131
Residual : -0.021131271
Prediction SE : 2.1847254
Lower : 12.439148
Upper : 21.003114
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.70803357
Relative residual : 0.029845013
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MJ | Reference material: RMA
Mean X : 9.5
Mean Y : 8.5
Predicted Y : 8.2663859
Residual : 0.23361407
Prediction SE : 2.1170157
Lower : 4.1171114
Upper : 12.41566
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.68352665
Relative residual : -0.34177757
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MJ | Reference material: RMB
Mean X : 19
Mean Y : 17
Predicted Y : 16.653423
Residual : 0.346577
Prediction SE : 2.1136563
Lower : 12.510733
Upper : 20.796113
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.68352665
Relative residual : -0.5070424
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MJ | Reference material: RMC
Mean X : 28.8
Mean Y : 25.3
Predicted Y : 25.305314
Residual : -0.0053138853
Prediction SE : 2.1180584
Lower : 21.153996
Upper : 29.456632
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.68352665
Relative residual : 0.0077742182
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MJ | Reference material: RMD
Mean X : 35.1
Mean Y : 30.6
Predicted Y : 30.867244
Residual : -0.26724374
Prediction SE : 2.125088
Lower : 26.702148
Upper : 35.03234
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.68352665
Relative residual : 0.39097779
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MJ | Reference material: RME
Mean X : 14
Mean Y : 12
Predicted Y : 12.239193
Residual : -0.23919296
Prediction SE : 2.1144888
Lower : 8.094871
Upper : 16.383515
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.68352665
Relative residual : 0.34993948
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MJ | Reference material: RMF
Mean X : 20
Mean Y : 21
Predicted Y : 17.536269
Residual : 3.463731
Prediction SE : 2.1137396
Lower : 13.393416
Upper : 21.679122
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.68352665
Relative residual : -5.067441
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MF
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MF vs MJ | Reference material: RMG
Mean X : 15.5
Mean Y : 13.4
Predicted Y : 13.563462
Residual : -0.16346198
Prediction SE : 2.1140206
Lower : 9.4200578
Upper : 17.706866
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.68352665
Relative residual : 0.23914499
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MF
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MH | Reference material: RMA
Mean X : 9.1
Mean Y : 9.1
Predicted Y : 9.1
Residual : 0
Prediction SE : 2.1187373
Lower : 4.9473513
Upper : 13.252649
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.7389557e-15
Relative residual : 0
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MG
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MH | Reference material: RMB
Mean X : 19.1
Mean Y : 19.1
Predicted Y : 19.1
Residual : 0
Prediction SE : 2.1187373
Lower : 14.947351
Upper : 23.252649
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.7389557e-15
Relative residual : 0
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MG
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MH | Reference material: RMC
Mean X : 28.8
Mean Y : 28.8
Predicted Y : 28.8
Residual : 0
Prediction SE : 2.1187373
Lower : 24.647351
Upper : 32.952649
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.7389557e-15
Relative residual : 0
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MG
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MH | Reference material: RMD
Mean X : 35.8
Mean Y : 35.8
Predicted Y : 35.8
Residual : 7.1054274e-15
Prediction SE : 2.1187373
Lower : 31.647351
Upper : 39.952649
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.7389557e-15
Relative residual : -4.0860313
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MG
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MH | Reference material: RME
Mean X : 14.8
Mean Y : 14.8
Predicted Y : 14.8
Residual : 0
Prediction SE : 2.1187373
Lower : 10.647351
Upper : 18.952649
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.7389557e-15
Relative residual : 0
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MG
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MH | Reference material: RMF
Mean X : 20.1
Mean Y : 20.1
Predicted Y : 20.1
Residual : 3.5527137e-15
Prediction SE : 2.1187373
Lower : 15.947351
Upper : 24.252649
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.7389557e-15
Relative residual : -2.0430157
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MG
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MH | Reference material: RMG
Mean X : 16.4
Mean Y : 16.4
Predicted Y : 16.4
Residual : 0
Prediction SE : 2.1187373
Lower : 12.247351
Upper : 20.552649
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.7389557e-15
Relative residual : 0
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MG
procedure_y : MH
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MI | Reference material: RMA
Mean X : 9.1
Mean Y : 9.8
Predicted Y : 9.4307365
Residual : 0.3692635
Prediction SE : 2.0444861
Lower : 5.4236174
Upper : 13.437856
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.31374846
Relative residual : -1.1769412
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MG
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MI | Reference material: RMB
Mean X : 19.1
Mean Y : 19.5
Predicted Y : 19.313755
Residual : 0.18624453
Prediction SE : 2.0435659
Lower : 15.30844
Upper : 23.319071
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.31374846
Relative residual : -0.59361098
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MG
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MI | Reference material: RMC
Mean X : 28.8
Mean Y : 28.6
Predicted Y : 28.900284
Residual : -0.30028386
Prediction SE : 2.0442742
Lower : 24.89358
Upper : 32.906988
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.31374846
Relative residual : 0.95708472
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MG
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MI | Reference material: RMD
Mean X : 35.8
Mean Y : 35
Predicted Y : 35.818397
Residual : -0.81839714
Prediction SE : 2.045764
Lower : 31.808773
Upper : 39.828021
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.31374846
Relative residual : 2.6084499
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MG
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MI | Reference material: RME
Mean X : 14.8
Mean Y : 15
Predicted Y : 15.064057
Residual : -0.064057313
Prediction SE : 2.0437563
Lower : 11.058369
Upper : 19.069746
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.31374846
Relative residual : 0.20416773
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MG
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MI | Reference material: RMF
Mean X : 20.1
Mean Y : 26
Predicted Y : 20.302057
Residual : 5.6979426
Prediction SE : 2.0435661
Lower : 16.296741
Upper : 24.307373
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.31374846
Relative residual : -18.160862
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MG
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MG vs MI | Reference material: RMG
Mean X : 16.4
Mean Y : 16.7
Predicted Y : 16.64534
Residual : 0.054659653
Prediction SE : 2.0436493
Lower : 12.639861
Upper : 20.650819
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.31374846
Relative residual : -0.17421489
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MG
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MJ | Reference material: RMA
Mean X : 9.1
Mean Y : 8.5
Predicted Y : 7.2950871
Residual : 1.2049129
Prediction SE : 2.0086158
Lower : 3.3582725
Upper : 11.231902
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.4421235
Relative residual : -2.7252858
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MG
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MJ | Reference material: RMB
Mean X : 19.1
Mean Y : 17
Predicted Y : 15.79386
Residual : 1.2061396
Prediction SE : 2.0067537
Lower : 11.860695
Upper : 19.727025
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.4421235
Relative residual : -2.7280605
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MG
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MJ | Reference material: RMC
Mean X : 28.8
Mean Y : 25.3
Predicted Y : 24.03767
Residual : 1.2623296
Prediction SE : 2.0081871
Lower : 20.101696
Upper : 27.973645
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.4421235
Relative residual : -2.8551515
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MG
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MJ | Reference material: RMD
Mean X : 35.8
Mean Y : 30.6
Predicted Y : 29.986812
Residual : 0.61318828
Prediction SE : 2.0112002
Lower : 26.044932
Upper : 33.928692
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.4421235
Relative residual : -1.3869163
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MG
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MJ | Reference material: RME
Mean X : 14.8
Mean Y : 12
Predicted Y : 12.139388
Residual : -0.13938785
Prediction SE : 2.007139
Lower : 8.2054677
Upper : 16.073308
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.4421235
Relative residual : 0.31526903
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MG
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MG vs MJ | Reference material: RMF
Mean X : 20.1
Mean Y : 21
Predicted Y : 16.643738
Residual : 4.3562623
Prediction SE : 2.0067539
Lower : 12.710572
Upper : 20.576903
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.4421235
Relative residual : -9.853044
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MG
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MG vs MJ | Reference material: RMG
Mean X : 16.4
Mean Y : 13.4
Predicted Y : 13.499192
Residual : -0.099191572
Prediction SE : 2.0069224
Lower : 9.565696
Upper : 17.432687
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.4421235
Relative residual : 0.22435263
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MG
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MH vs MI | Reference material: RMA
Mean X : 9.1
Mean Y : 9.8
Predicted Y : 9.4305936
Residual : 0.36940643
Prediction SE : 2.108231
Lower : 5.2985368
Upper : 13.56265
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.3137499
Relative residual : -1.1773914
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MH
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MH vs MI | Reference material: RMB
Mean X : 19.1
Mean Y : 19.5
Predicted Y : 19.313749
Residual : 0.18625124
Prediction SE : 2.1073386
Lower : 15.183441
Upper : 23.444057
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.3137499
Relative residual : -0.59362963
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MH
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MH vs MI | Reference material: RMC
Mean X : 28.8
Mean Y : 28.6
Predicted Y : 28.900409
Residual : -0.3004093
Prediction SE : 2.1080255
Lower : 24.768755
Upper : 33.032063
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.3137499
Relative residual : 0.95748016
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MH
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MH vs MI | Reference material: RMD
Mean X : 35.8
Mean Y : 35
Predicted Y : 35.818618
Residual : -0.81861794
Prediction SE : 2.1094702
Lower : 31.684132
Upper : 39.953104
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.3137499
Relative residual : 2.6091417
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MH
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MH vs MI | Reference material: RME
Mean X : 14.8
Mean Y : 15
Predicted Y : 15.063992
Residual : -0.063992032
Prediction SE : 2.1075233
Lower : 10.933322
Upper : 19.194662
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.3137499
Relative residual : 0.20395873
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MH
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MH vs MI | Reference material: RMF
Mean X : 20.1
Mean Y : 26
Predicted Y : 20.302064
Residual : 5.6979357
Prediction SE : 2.1073388
Lower : 16.171756
Upper : 24.432372
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.3137499
Relative residual : -18.160757
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MH
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MH vs MI | Reference material: RMG
Mean X : 16.4
Mean Y : 16.7
Predicted Y : 16.645297
Residual : 0.054703137
Prediction SE : 2.1074195
Lower : 12.514831
Upper : 20.775763
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.3137499
Relative residual : -0.17435269
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MH
procedure_y : MI
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MH vs MJ | Reference material: RMA
Mean X : 9.1
Mean Y : 8.5
Predicted Y : 7.2947327
Residual : 1.2052673
Prediction SE : 2.0567891
Lower : 3.2635002
Upper : 11.325965
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.44213034
Relative residual : -2.7260452
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MH
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MH vs MJ | Reference material: RMB
Mean X : 19.1
Mean Y : 17
Predicted Y : 15.793844
Residual : 1.2061563
Prediction SE : 2.0549705
Lower : 11.766176
Upper : 19.821512
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.44213034
Relative residual : -2.7280558
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MH
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MH vs MJ | Reference material: RMC
Mean X : 28.8
Mean Y : 25.3
Predicted Y : 24.037981
Residual : 1.2620186
Prediction SE : 2.0563704
Lower : 20.007569
Upper : 28.068393
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.44213034
Relative residual : -2.8544039
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MH
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MH vs MJ | Reference material: RMD
Mean X : 35.8
Mean Y : 30.6
Predicted Y : 29.987359
Residual : 0.61264085
Prediction SE : 2.0593133
Lower : 25.951179
Upper : 34.023539
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.44213034
Relative residual : -1.3856566
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MH
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MH vs MJ | Reference material: RME
Mean X : 14.8
Mean Y : 12
Predicted Y : 12.139226
Residual : -0.139226
Prediction SE : 2.0553468
Lower : 8.1108203
Upper : 16.167632
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.44213034
Relative residual : 0.31489808
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MH
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MH vs MJ | Reference material: RMF
Mean X : 20.1
Mean Y : 21
Predicted Y : 16.643755
Residual : 4.3562452
Prediction SE : 2.0549708
Lower : 12.616086
Upper : 20.671424
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 0.44213034
Relative residual : -9.8528527
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MH
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MH vs MJ | Reference material: RMG
Mean X : 16.4
Mean Y : 13.4
Predicted Y : 13.499084
Residual : -0.09908376
Prediction SE : 2.0551352
Lower : 9.4710927
Upper : 17.527075
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.44213034
Relative residual : 0.22410532
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MH
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MI vs MJ | Reference material: RMA
Mean X : 9.8
Mean Y : 8.5
Predicted Y : 7.6096017
Residual : 0.8903983
Prediction SE : 2.020301
Lower : 3.6498846
Upper : 11.569319
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.54782818
Relative residual : -1.625324
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MI
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MI vs MJ | Reference material: RMB
Mean X : 19.5
Mean Y : 17
Predicted Y : 15.953928
Residual : 1.0460719
Prediction SE : 2.0176504
Lower : 11.999406
Upper : 19.90845
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.54782818
Relative residual : -1.9094891
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MI
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MI vs MJ | Reference material: RMC
Mean X : 28.6
Mean Y : 25.3
Predicted Y : 23.782111
Residual : 1.5178895
Prediction SE : 2.0197028
Lower : 19.823566
Upper : 27.740655
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.54782818
Relative residual : -2.7707401
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MI
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MI vs MJ | Reference material: RMD
Mean X : 35
Mean Y : 30.6
Predicted Y : 29.287645
Residual : 1.3123546
Prediction SE : 2.0237722
Lower : 25.321125
Upper : 33.254166
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.54782818
Relative residual : -2.3955587
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MI
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MI vs MJ | Reference material: RME
Mean X : 15
Mean Y : 12
Predicted Y : 12.082849
Residual : -0.082848815
Prediction SE : 2.0182595
Lower : 8.1271328
Upper : 16.038565
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.54782818
Relative residual : 0.15123139
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MI
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MI vs MJ | Reference material: RMF
Mean X : 26
Mean Y : 21
Predicted Y : 21.545487
Residual : -0.54548695
Prediction SE : 2.0186682
Lower : 17.58897
Upper : 25.502004
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.54782818
Relative residual : 0.99572634
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MI
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MI vs MJ | Reference material: RMG
Mean X : 16.7
Mean Y : 13.4
Predicted Y : 13.545257
Residual : -0.14525653
Prediction SE : 2.0179031
Lower : 9.5902392
Upper : 17.500274
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 0.54782818
Relative residual : 0.26514979
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MI
procedure_y : MJ
critical_value : 1.959964
rm_set_size : 1
classification : commutable
EP30 model estimates
Procedure pair: MA vs MB
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.6032
Variance Y : 6.8688
Lambda : 1.2258709
Intercept : 3.6495387
Slope : 0.96181694
Intercept variance : 0.24734077
Slope variance : 0.00043809195
Intercept-slope covariance : -0.0091964262
RM variance X : 4.2857143
RM variance Y : 6.0771429
Sy.x : 1.1890275
Critical value : 1.959964
RM set size : 1
procedure_x : MA
procedure_y : MB
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.020930646
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MA vs MC
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.6032
Variance Y : 6.0064
Lambda : 1.0719589
Intercept : 0.20128784
Slope : 1.0605332
Intercept variance : 0.19669824
Slope variance : 0.00034823454
Intercept-slope covariance : -0.0073101394
RM variance X : 4.2857143
RM variance Y : 6.4857143
Sy.x : 1.0611977
Critical value : 1.959964
RM set size : 1
procedure_x : MA
procedure_y : MC
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.018661043
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MA vs MD
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.6032
Variance Y : 6.544
Lambda : 1.1679041
Intercept : 0.39859117
Slope : 0.83448022
Intercept variance : 0.18635499
Slope variance : 0.00033001627
Intercept-slope covariance : -0.0069277016
RM variance X : 4.2857143
RM variance Y : 7.5157143
Sy.x : 1.0324006
Critical value : 1.959964
RM set size : 1
procedure_x : MA
procedure_y : MD
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.01816635
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MA vs ME
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.6032
Variance Y : 5.6408
Lambda : 1.0067105
Intercept : -0.83125148
Slope : 1.1362067
Intercept variance : 0.24877488
Slope variance : 0.00044052676
Intercept-slope covariance : -0.0092475378
RM variance X : 4.2857143
RM variance Y : 6.0485714
Sy.x : 1.1929761
Critical value : 1.959964
RM set size : 1
procedure_x : MA
procedure_y : ME
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.020988729
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MA vs MF
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.6032
Variance Y : 5.3108
Lambda : 0.94781553
Intercept : -0.49455087
Slope : 0.90484713
Intercept variance : 0.15681085
Slope variance : 0.00027762635
Intercept-slope covariance : -0.0058279322
RM variance X : 4.2857143
RM variance Y : 7.5185714
Sy.x : 0.9474596
Critical value : 1.959964
RM set size : 1
procedure_x : MA
procedure_y : MF
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.016662123
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MA vs MG
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.6032
Variance Y : 4.306
Lambda : 0.76848943
Intercept : -0.14983142
Slope : 0.94044548
Intercept variance : 0.12671252
Slope variance : 0.00022428637
Intercept-slope covariance : -0.0047082195
RM variance X : 4.2857143
RM variance Y : 6.3271429
Sy.x : 0.85204379
Critical value : 1.959964
RM set size : 1
procedure_x : MA
procedure_y : MG
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.014976193
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MA vs MH
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.6032
Variance Y : 4.6228
Lambda : 0.82502856
Intercept : -0.14762006
Slope : 0.94034013
Intercept variance : 0.1266871
Slope variance : 0.00022423613
Intercept-slope covariance : -0.0047071648
RM variance X : 4.2857143
RM variance Y : 7.14
Sy.x : 0.85199356
Critical value : 1.959964
RM set size : 1
procedure_x : MA
procedure_y : MH
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.014974516
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MA vs MI
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.6032
Variance Y : 8.7928
Lambda : 1.5692461
Intercept : 0.30849521
Slope : 0.92852062
Intercept variance : 0.12485787
Slope variance : 0.00022094394
Intercept-slope covariance : -0.0046380552
RM variance X : 4.2857143
RM variance Y : 6.3371429
Sy.x : 0.8461896
Critical value : 1.959964
RM set size : 1
procedure_x : MA
procedure_y : MI
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.014864183
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MA vs MJ
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.6032
Variance Y : 5.0552
Lambda : 0.90219874
Intercept : -0.55484017
Slope : 0.79872524
Intercept variance : 0.12382782
Slope variance : 0.00021921253
Intercept-slope covariance : -0.0046017094
RM variance X : 4.2857143
RM variance Y : 7.4885714
Sy.x : 0.84206988
Critical value : 1.959964
RM set size : 1
procedure_x : MA
procedure_y : MJ
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.014805827
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MB vs MC
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.8688
Variance Y : 6.0064
Lambda : 0.87444677
Intercept : -3.8120845
Slope : 1.1021848
Intercept variance : 0.20662198
Slope variance : 0.0003023
Intercept-slope covariance : -0.0072068319
RM variance X : 6.0771429
RM variance Y : 6.4857143
Sy.x : 0.95212352
Critical value : 1.959964
RM set size : 1
procedure_x : MB
procedure_y : MC
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.017386776
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MB vs MD
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.8688
Variance Y : 6.544
Lambda : 0.95271372
Intercept : -2.7587397
Slope : 0.86722901
Intercept variance : 0.39005036
Slope variance : 0.00057141826
Intercept-slope covariance : -0.013622611
RM variance X : 6.0771429
RM variance Y : 7.5157143
Sy.x : 1.3039134
Critical value : 1.959964
RM set size : 1
procedure_x : MB
procedure_y : MD
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.023904356
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MB vs ME
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.8688
Variance Y : 5.6408
Lambda : 0.82122059
Intercept : -5.1727955
Slope : 1.1825837
Intercept variance : 0.72009785
Slope variance : 0.001055494
Intercept-slope covariance : -0.025162976
RM variance X : 6.0771429
RM variance Y : 6.0485714
Sy.x : 1.7693315
Critical value : 1.959964
RM set size : 1
procedure_x : MB
procedure_y : ME
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.032488367
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MB vs MF
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.8688
Variance Y : 5.3108
Lambda : 0.77317727
Intercept : -3.9320295
Slope : 0.94094084
Intercept variance : 0.50490079
Slope variance : 0.00074007333
Intercept-slope covariance : -0.017643348
RM variance X : 6.0771429
RM variance Y : 7.5185714
Sy.x : 1.4815125
Critical value : 1.959964
RM set size : 1
procedure_x : MB
procedure_y : MF
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.027204289
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MB vs MG
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.8688
Variance Y : 4.306
Lambda : 0.62689262
Intercept : -3.7309834
Slope : 0.97831306
Intercept variance : 0.4023514
Slope variance : 0.00058943236
Intercept-slope covariance : -0.014052068
RM variance X : 6.0771429
RM variance Y : 6.3271429
Sy.x : 1.3243523
Critical value : 1.959964
RM set size : 1
procedure_x : MB
procedure_y : MG
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.024278228
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MB vs MH
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.8688
Variance Y : 4.6228
Lambda : 0.67301421
Intercept : -3.7248676
Slope : 0.97805653
Intercept variance : 0.40215469
Slope variance : 0.00058912328
Intercept-slope covariance : -0.014044699
RM variance X : 6.0771429
RM variance Y : 7.14
Sy.x : 1.3241455
Critical value : 1.959964
RM set size : 1
procedure_x : MB
procedure_y : MH
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.024271862
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MB vs MI
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.8688
Variance Y : 8.7928
Lambda : 1.2801072
Intercept : -3.1885173
Slope : 0.96428345
Intercept variance : 0.40379695
Slope variance : 0.00059131278
Intercept-slope covariance : -0.014096897
RM variance X : 6.0771429
RM variance Y : 6.3371429
Sy.x : 1.328052
Critical value : 1.959964
RM set size : 1
procedure_x : MB
procedure_y : MI
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.024316924
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MB vs MJ
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.8688
Variance Y : 5.0552
Lambda : 0.73596553
Intercept : -3.5777974
Slope : 0.83010895
Intercept variance : 0.35121929
Slope variance : 0.00051458461
Intercept-slope covariance : -0.012267697
RM variance X : 6.0771429
RM variance Y : 7.4885714
Sy.x : 1.2369884
Critical value : 1.959964
RM set size : 1
procedure_x : MB
procedure_y : MJ
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.022684458
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MC vs MD
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.0064
Variance Y : 6.544
Lambda : 1.0895045
Intercept : 0.25672869
Slope : 0.78611429
Intercept variance : 0.29343943
Slope variance : 0.0004559482
Intercept-slope covariance : -0.01024242
RM variance X : 6.4857143
RM variance Y : 7.5157143
Sy.x : 1.2844594
Critical value : 1.959964
RM set size : 1
procedure_x : MC
procedure_y : MD
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.021352944
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MC vs ME
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.0064
Variance Y : 5.6408
Lambda : 0.93913159
Intercept : -1.0545702
Slope : 1.0716956
Intercept variance : 0.44734307
Slope variance : 0.00069525378
Intercept-slope covariance : -0.015618181
RM variance X : 6.4857143
RM variance Y : 6.0485714
Sy.x : 1.5852203
Critical value : 1.959964
RM set size : 1
procedure_x : MC
procedure_y : ME
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.026367665
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MC vs MF
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.0064
Variance Y : 5.3108
Lambda : 0.8841902
Intercept : -0.65713681
Slope : 0.85279277
Intercept variance : 0.34197983
Slope variance : 0.00053157846
Intercept-slope covariance : -0.011941379
RM variance X : 6.4857143
RM variance Y : 7.5185714
Sy.x : 1.3856472
Critical value : 1.959964
RM set size : 1
procedure_x : MC
procedure_y : MF
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.023055985
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MC vs MG
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.0064
Variance Y : 4.306
Lambda : 0.71690197
Intercept : -0.33151324
Slope : 0.88690853
Intercept variance : 0.25474307
Slope variance : 0.00039571916
Intercept-slope covariance : -0.0088894353
RM variance X : 6.4857143
RM variance Y : 6.3271429
Sy.x : 1.1973364
Critical value : 1.959964
RM set size : 1
procedure_x : MC
procedure_y : MG
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.019892691
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MC vs MH
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.0064
Variance Y : 4.6228
Lambda : 0.76964571
Intercept : -0.32708456
Slope : 0.88671139
Intercept variance : 0.25464172
Slope variance : 0.00039554326
Intercept-slope covariance : -0.0088854837
RM variance X : 6.4857143
RM variance Y : 7.14
Sy.x : 1.1971996
Critical value : 1.959964
RM set size : 1
procedure_x : MC
procedure_y : MH
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.019888269
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MC vs MI
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.0064
Variance Y : 8.7928
Lambda : 1.4639052
Intercept : 0.14597024
Slope : 0.87491229
Intercept variance : 0.21793079
Slope variance : 0.00033828565
Intercept-slope covariance : -0.0075992489
RM variance X : 6.4857143
RM variance Y : 6.3371429
Sy.x : 1.1089276
Critical value : 1.959964
RM set size : 1
procedure_x : MC
procedure_y : MI
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.018392543
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MC vs MJ
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.0064
Variance Y : 5.0552
Lambda : 0.84163559
Intercept : -0.69570407
Slope : 0.75265777
Intercept variance : 0.22031728
Slope variance : 0.00034224102
Intercept-slope covariance : -0.0076881023
RM variance X : 6.4857143
RM variance Y : 7.4885714
Sy.x : 1.1135031
Critical value : 1.959964
RM set size : 1
procedure_x : MC
procedure_y : MJ
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.018499757
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MD vs ME
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.544
Variance Y : 5.6408
Lambda : 0.86198044
Intercept : -1.3435734
Slope : 1.359878
Intercept variance : 0.12687503
Slope variance : 0.00031104694
Intercept-slope covariance : -0.005572717
RM variance X : 7.5157143
RM variance Y : 6.0485714
Sy.x : 0.83905695
Critical value : 1.959964
RM set size : 1
procedure_x : MD
procedure_y : ME
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.017636523
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MD vs MF
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.544
Variance Y : 5.3108
Lambda : 0.81155257
Intercept : -0.92087196
Slope : 1.083996
Intercept variance : 0.18451044
Slope variance : 0.00045275179
Intercept-slope covariance : -0.0081115011
RM variance X : 7.5157143
RM variance Y : 7.5185714
Sy.x : 1.0101669
Critical value : 1.959964
RM set size : 1
procedure_x : MD
procedure_y : MF
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.021277965
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MD vs MG
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.544
Variance Y : 4.306
Lambda : 0.65800733
Intercept : -0.58590146
Slope : 1.1262504
Intercept variance : 0.13855241
Slope variance : 0.00033982888
Intercept-slope covariance : -0.0060883743
RM variance X : 7.5157143
RM variance Y : 6.3271429
Sy.x : 0.87608703
Critical value : 1.959964
RM set size : 1
procedure_x : MD
procedure_y : MG
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.018434448
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MD vs MH
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.544
Variance Y : 4.6228
Lambda : 0.70641809
Intercept : -0.58372347
Slope : 1.1261288
Intercept variance : 0.13852472
Slope variance : 0.00033975553
Intercept-slope covariance : -0.00608706
RM variance X : 7.5157143
RM variance Y : 7.14
Sy.x : 0.87602552
Critical value : 1.959964
RM set size : 1
procedure_x : MD
procedure_y : MH
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.018432458
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MD vs MI
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.544
Variance Y : 8.7928
Lambda : 1.343643
Intercept : -0.1195644
Slope : 1.111831
Intercept variance : 0.21168945
Slope variance : 0.00051940298
Intercept-slope covariance : -0.0093056237
RM variance X : 7.5157143
RM variance Y : 6.3371429
Sy.x : 1.0821696
Critical value : 1.959964
RM set size : 1
procedure_x : MD
procedure_y : MI
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.022790414
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MD vs MJ
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 6.544
Variance Y : 5.0552
Lambda : 0.77249389
Intercept : -0.92636579
Slope : 0.95659555
Intercept variance : 0.060523801
Slope variance : 0.00014836205
Intercept-slope covariance : -0.0026580544
RM variance X : 7.5157143
RM variance Y : 7.4885714
Sy.x : 0.57964829
Critical value : 1.959964
RM set size : 1
procedure_x : MD
procedure_y : MJ
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.012180396
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: ME vs MF
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.6408
Variance Y : 5.3108
Lambda : 0.94149766
Intercept : 0.16225188
Slope : 0.7966007
Intercept variance : 0.099273635
Slope variance : 0.00014378649
Intercept-slope covariance : -0.003309965
RM variance X : 6.0485714
RM variance Y : 7.5185714
Sy.x : 0.77523923
Critical value : 1.959964
RM set size : 1
procedure_x : ME
procedure_y : MF
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.0119911
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: ME vs MG
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.6408
Variance Y : 4.306
Lambda : 0.7633669
Intercept : 0.53365093
Slope : 0.82790396
Intercept variance : 0.045349941
Slope variance : 6.5655065e-05
Intercept-slope covariance : -0.0015113796
RM variance X : 6.0485714
RM variance Y : 6.3271429
Sy.x : 0.52435434
Critical value : 1.959964
RM set size : 1
procedure_x : ME
procedure_y : MG
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.0081027813
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: ME vs MH
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.6408
Variance Y : 4.6228
Lambda : 0.81952914
Intercept : 0.53445619
Slope : 0.82786898
Intercept variance : 0.045346587
Slope variance : 6.5649517e-05
Intercept-slope covariance : -0.0015112519
RM variance X : 6.0485714
RM variance Y : 7.14
Sy.x : 0.52434405
Critical value : 1.959964
RM set size : 1
procedure_x : ME
procedure_y : MH
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.0081024389
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: ME vs MI
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.6408
Variance Y : 8.7928
Lambda : 1.558786
Intercept : 0.97392962
Slope : 0.81781366
Intercept variance : 0.066257176
Slope variance : 9.5925595e-05
Intercept-slope covariance : -0.0022082072
RM variance X : 6.0485714
RM variance Y : 6.3371429
Sy.x : 0.63377684
Critical value : 1.959964
RM set size : 1
procedure_x : ME
procedure_y : MI
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.0097941613
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: ME vs MJ
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.6408
Variance Y : 5.0552
Lambda : 0.89618494
Intercept : 0.0091741725
Slope : 0.70385864
Intercept variance : 7.4682121e-05
Slope variance : 1.0807709e-07
Intercept-slope covariance : -2.4879346e-06
RM variance X : 6.0485714
RM variance Y : 7.4885714
Sy.x : 0.021292767
Critical value : 1.959964
RM set size : 1
procedure_x : ME
procedure_y : MJ
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.0003287508
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MF vs MG
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.3108
Variance Y : 4.306
Lambda : 0.81080063
Intercept : 0.36946606
Slope : 1.0390559
Intercept variance : 0.068686655
Slope variance : 0.00015459995
Intercept-slope covariance : -0.0028600991
RM variance X : 7.5185714
RM variance Y : 6.3271429
Sy.x : 0.64093887
Critical value : 1.959964
RM set size : 1
procedure_x : MF
procedure_y : MG
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.012433823
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MF vs MH
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.3108
Variance Y : 4.6228
Lambda : 0.87045266
Intercept : 0.37066715
Slope : 1.038991
Intercept variance : 0.068678934
Slope variance : 0.00015458063
Intercept-slope covariance : -0.0028597417
RM variance X : 7.5185714
RM variance Y : 7.14
Sy.x : 0.64091635
Critical value : 1.959964
RM set size : 1
procedure_x : MF
procedure_y : MH
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.012433046
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MF vs MI
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.3108
Variance Y : 8.7928
Lambda : 1.6556451
Intercept : 0.81364284
Slope : 1.0262896
Intercept variance : 0.083812322
Slope variance : 0.00018863976
Intercept-slope covariance : -0.0034898356
RM variance X : 7.5185714
RM variance Y : 6.3371429
Sy.x : 0.70803357
Critical value : 1.959964
RM set size : 1
procedure_x : MF
procedure_y : MI
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.013734619
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MF vs MJ
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 5.3108
Variance Y : 5.0552
Lambda : 0.95187166
Intercept : -0.12065115
Slope : 0.88284601
Intercept variance : 0.07817879
Slope variance : 0.00017600578
Intercept-slope covariance : -0.0032561068
RM variance X : 7.5185714
RM variance Y : 7.4885714
Sy.x : 0.68352665
Critical value : 1.959964
RM set size : 1
procedure_x : MF
procedure_y : MJ
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.013266717
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MG vs MH
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 4.306
Variance Y : 4.6228
Lambda : 1.0735718
Intercept : 0
Slope : 1
Intercept variance : 2.8587206e-15
Slope variance : 5.9666732e-18
Intercept-slope covariance : -1.1689906e-16
RM variance X : 6.3271429
RM variance Y : 7.14
Sy.x : 1.7389557e-15
Critical value : 1.959964
RM set size : 1
procedure_x : MG
procedure_y : MH
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 2.4426775e-09
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MG vs MI
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 4.306
Variance Y : 8.7928
Lambda : 2.0419879
Intercept : 0.43718925
Slope : 0.9883019
Intercept variance : 0.016925594
Slope variance : 3.4246951e-05
Intercept-slope covariance : -0.00067096627
RM variance X : 6.3271429
RM variance Y : 6.3371429
Sy.x : 0.31374846
Critical value : 1.959964
RM set size : 1
procedure_x : MG
procedure_y : MI
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.0058520895
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MG vs MJ
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 4.306
Variance Y : 5.0552
Lambda : 1.1739898
Intercept : -0.43879659
Slope : 0.84987733
Intercept variance : 0.033635453
Slope variance : 6.8072223e-05
Intercept-slope covariance : -0.001333671
RM variance X : 6.3271429
RM variance Y : 7.4885714
Sy.x : 0.4421235
Critical value : 1.959964
RM set size : 1
procedure_x : MG
procedure_y : MJ
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.0082505893
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MH vs MI
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 4.6228
Variance Y : 8.7928
Lambda : 1.9020507
Intercept : 0.43692235
Slope : 0.98831552
Intercept variance : 0.016925991
Slope variance : 3.4247895e-05
Intercept-slope covariance : -0.00067098477
RM variance X : 7.14
RM variance Y : 6.3371429
Sy.x : 0.3137499
Critical value : 1.959964
RM set size : 1
procedure_x : MH
procedure_y : MI
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.0058521701
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MH vs MJ
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 4.6228
Variance Y : 5.0552
Lambda : 1.0935364
Intercept : -0.43945832
Slope : 0.8499111
Intercept variance : 0.033637762
Slope variance : 6.8077634e-05
Intercept-slope covariance : -0.001333777
RM variance X : 7.14
RM variance Y : 7.4885714
Sy.x : 0.44213034
Critical value : 1.959964
RM set size : 1
procedure_x : MH
procedure_y : MJ
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.0082509172
relative_residual_evaluable : TRUE
relative_residual_limit : 2
Procedure pair: MI vs MJ
Clinical samples : 25
Clinical replicate range : 3
Equal clinical replicates : TRUE
RM replicate range : 3
Equal RM replicates : TRUE
Variance X : 8.7928
Variance Y : 5.0552
Lambda : 0.57492494
Intercept : -0.82074864
Slope : 0.86023983
Intercept variance : 0.053522283
Slope variance : 0.00010712641
Intercept-slope covariance : -0.002121103
RM variance X : 6.3371429
RM variance Y : 7.4885714
Sy.x : 0.54782818
Critical value : 1.959964
RM set size : 1
procedure_x : MI
procedure_y : MJ
clinical_replicates : 3
clinical_replicates_min : 3
clinical_replicates_max : 3
rm_replicates : 3
rm_replicates_min : 3
rm_replicates_max : 3
slope_se : 0.010350189
relative_residual_evaluable : TRUE
relative_residual_limit : 26.3.3 IFCC Part 2 Bias Difference and Uncertainty
Code
ifcc2 <- as.data.frame(read_csv(
"./data/006-基质效应与互换性/std-ifcc-part2-example.csv",
show_col_types = FALSE
))
ifcc2_fit <- commutability(
ifcc2, approach = "ifcc", sample_id = "sample_id",
material_type = "material_type", procedure = "procedure", result = "result",
position = "position", scale = "ln",
procedure_pairs = list(c("MPx", "MPy")), criterion = 0.12,
bias_model = "constant_global", coverage_factor = 1.9,
rm_position = "pooled"
)
print(ifcc2_fit)
Commutability assessment
Study-design checks: 4 met, 0 unmet. Unmet checks do not invalidate computations; inspect '$design_checks'.
Approach : IFCC
Scale : ln
Procedure pairs : 1
Reference materials : 5
Procedure pair: MPx vs MPy | Reference material: RM1
RM coordinate : 2.7755556
RM bias : 0.33925926
Clinical bias : 0.18095238
Difference in bias : 0.15830688
RM standard uncertainty : 0.037626363
Clinical standard uncertainty : 0.015516499
Standard uncertainty : 0.040700184
Expanded uncertainty : 0.077330349
Lower : 0.080976529
Upper : 0.23563723
Criterion : 0.12
Clinical samples : 49
Classification : inconclusive
procedure_x : MPx
procedure_y : MPy
position_mean_sd_x : 0.067355047
position_mean_sd_y : 0.050418387
positions_x : 5
positions_y : 5
position_pooling : pooled
Procedure pair: MPx vs MPy | Reference material: RM2
RM coordinate : 3.3097037
RM bias : 0.12903704
Clinical bias : 0.18095238
Difference in bias : -0.051915344
RM standard uncertainty : 0.037626363
Clinical standard uncertainty : 0.015516499
Standard uncertainty : 0.040700184
Expanded uncertainty : 0.077330349
Lower : -0.12924569
Upper : 0.025415005
Criterion : 0.12
Clinical samples : 49
Classification : inconclusive
procedure_x : MPx
procedure_y : MPy
position_mean_sd_x : 0.067355047
position_mean_sd_y : 0.050418387
positions_x : 5
positions_y : 5
position_pooling : pooled
Procedure pair: MPx vs MPy | Reference material: RM3
RM coordinate : 5.5979259
RM bias : 0.16
Clinical bias : 0.18095238
Difference in bias : -0.020952381
RM standard uncertainty : 0.037626363
Clinical standard uncertainty : 0.015516499
Standard uncertainty : 0.040700184
Expanded uncertainty : 0.077330349
Lower : -0.09828273
Upper : 0.056377968
Criterion : 0.12
Clinical samples : 49
Classification : commutable
procedure_x : MPx
procedure_y : MPy
position_mean_sd_x : 0.067355047
position_mean_sd_y : 0.050418387
positions_x : 5
positions_y : 5
position_pooling : pooled
Procedure pair: MPx vs MPy | Reference material: RM4
RM coordinate : 1.607037
RM bias : 0.073333333
Clinical bias : 0.18095238
Difference in bias : -0.10761905
RM standard uncertainty : 0.037626363
Clinical standard uncertainty : 0.015516499
Standard uncertainty : 0.040700184
Expanded uncertainty : 0.077330349
Lower : -0.1849494
Upper : -0.030288699
Criterion : 0.12
Clinical samples : 49
Classification : inconclusive
procedure_x : MPx
procedure_y : MPy
position_mean_sd_x : 0.067355047
position_mean_sd_y : 0.050418387
positions_x : 5
positions_y : 5
position_pooling : pooled
Procedure pair: MPx vs MPy | Reference material: RM5
RM coordinate : 4.4167407
RM bias : 0.85866667
Clinical bias : 0.18095238
Difference in bias : 0.67771429
RM standard uncertainty : 0.037626363
Clinical standard uncertainty : 0.015516499
Standard uncertainty : 0.040700184
Expanded uncertainty : 0.077330349
Lower : 0.60038394
Upper : 0.75504463
Criterion : 0.12
Clinical samples : 49
Classification : noncommutable
procedure_x : MPx
procedure_y : MPy
position_mean_sd_x : 0.067355047
position_mean_sd_y : 0.050418387
positions_x : 5
positions_y : 5
position_pooling : pooled6.3.4 IFCC Part 3 Calibration Validity
Code
ifcc3 <- as.data.frame(read_csv(
"./data/006-基质效应与互换性/std-ifcc-part3-example.csv",
show_col_types = FALSE
))
ifcc3_fit <- commutability(
ifcc3, approach = "calibration", sample_id = "sample_id",
procedure = "procedure", result = "result",
calibration_stage = "calibration_stage", criterion = 6
)
plot(ifcc3_fit)
6.4 Interpretation
Prediction-interval classification and bias-difference classification need not agree. A reference material can lie within an EP14/EP30 prediction interval yet have an unacceptable bias difference under IFCC Part 2, or vice versa, because the paths target different estimands and uncertainty models. The final report should state the path, scale, procedure pair, material definition, repeated-measurement handling, limit, and any procedure pairs that were unavailable or failed design checks.
6.5 Detailed Standard Cases
6.5.1 CLSI EP14-A3 Appendix C Example C1: Cholesterol on the Original Scale
Appendix C Example C1 contains 20 patient samples and 5 processed samples. Both procedures have three replicate measurements for cholesterol in mg/dL. Table C1 labels the last two processed samples as “d”; the data file names them d_run16 and d_run07 according to run order only to keep material identities unique. The measurement values are unchanged.
Code
ep14_c1_data <- read_csv(
"./data/006-基质效应与互换性/std-ep14-appendix-c1.csv",
show_col_types = FALSE
)
head(ep14_c1_data, 6)# A tibble: 6 × 7
sample_id material_type run_order procedure replicate result position
<chr> <chr> <dbl> <chr> <dbl> <dbl> <lgl>
1 CS01 clinical 21 A 1 206. NA
2 CS01 clinical 21 A 2 213. NA
3 CS01 clinical 21 A 3 205. NA
4 CS01 clinical 21 B 1 217. NA
5 CS01 clinical 21 B 2 209. NA
6 CS01 clinical 21 B 3 220. NA Code
ep14_c1 <- commutability(
ep14_c1_data,
sample_id = "sample_id",
material_type = "material_type",
procedure = "procedure",
result = "result",
approach = "ep14",
scale = "raw",
procedure_pairs = list(c("A", "B")),
conf.level = 0.95
)
ep14_c1
Commutability assessment
Study-design checks: 2 met, 0 unmet. Unmet checks do not invalidate computations; inspect '$design_checks'.
Approach : EP14
Scale : raw
Procedure pairs : 1
Reference materials : 5
Procedure pair: A vs B | Reference material: a
Mean X : 108.86
Mean Y : 110.15
Predicted Y : 117.19384
Residual : -7.0438387
Prediction SE : 3.9893651
Lower : 109.13103
Upper : 125.25665
Extrapolated : FALSE
Classification : commutable
procedure_x : A
procedure_y : B
Procedure pair: A vs B | Reference material: b
Mean X : 123.12333
Mean Y : 136.95
Predicted Y : 132.71701
Residual : 4.2329936
Prediction SE : 3.9111051
Lower : 124.81237
Upper : 140.62164
Extrapolated : FALSE
Classification : commutable
procedure_x : A
procedure_y : B
Procedure pair: A vs B | Reference material: c
Mean X : 146.95
Mean Y : 175.36667
Predicted Y : 158.64821
Residual : 16.718461
Prediction SE : 3.8114445
Lower : 150.94499
Upper : 166.35142
Extrapolated : FALSE
Classification : noncommutable
procedure_x : A
procedure_y : B
Procedure pair: A vs B | Reference material: d_run16
Mean X : 198.44
Mean Y : 215.98333
Predicted Y : 214.68615
Residual : 1.2971814
Prediction SE : 3.740138
Lower : 207.12705
Upper : 222.24525
Extrapolated : FALSE
Classification : commutable
procedure_x : A
procedure_y : B
Procedure pair: A vs B | Reference material: d_run07
Mean X : 222.31667
Mean Y : 244.06667
Predicted Y : 240.67177
Residual : 3.3948989
Prediction SE : 3.7763512
Lower : 233.03948
Upper : 248.30406
Extrapolated : FALSE
Classification : commutable
procedure_x : A
procedure_y : BCode
plot(ep14_c1)
The standard also reports a prediction and prediction interval at \(X=145.0\) mg/dL. The following calculates these quantities at the same reference point from the model, clinical-sample means, and repeatability variances returned by commutability().
| 标准位置 | 统计量 | 标准结果 | ivdtools结果 |
|---|---|---|---|
| EP14 C1 | variance_x | 15.060 | 15.062097 |
| EP14 C1 | variance_y | 22.080 | 22.077815 |
| EP14 C1 | lambda | 1.466 | 1.465786 |
| EP14 C1 | slope | 1.088 | 1.088327 |
| EP14 C1 | intercept | -1.282 | -1.281415 |
| EP14 C1 | prediction_at_x_145 | 156.500 | 156.525969 |
| EP14 C1 | prediction_se_at_x_145 | 3.820 | 3.818079 |
| EP14 C1 | lower_at_x_145 | 148.800 | 148.809344 |
| EP14 C1 | upper_at_x_145 | 164.200 | 164.242593 |
| EP14 C1 | noncommutable_count | 1.000 | 1.000000 |
| rm | mean_x | mean_y | predicted_y | lower | upper | extrapolated | classification |
|---|---|---|---|---|---|---|---|
| a | 108.860 | 110.150 | 117.194 | 109.131 | 125.257 | FALSE | Commutable |
| b | 123.123 | 136.950 | 132.717 | 124.812 | 140.622 | FALSE | Commutable |
| c | 146.950 | 175.367 | 158.648 | 150.945 | 166.351 | FALSE | Non-commutable |
| d_run16 | 198.440 | 215.983 | 214.686 | 207.127 | 222.245 | FALSE | Commutable |
| d_run07 | 222.317 | 244.067 | 240.672 | 233.039 | 248.304 | FALSE | Commutable |
Processed sample c is outside the prediction interval; the other four are inside. No processed sample is extrapolated beyond the concentration range. This conclusion applies only to procedures A–B, the original scale, and the concentration range in this case.
6.5.2 CLSI EP14-A3 Appendix C Example C2: Myoglobin on the log10 Scale
Example C2 contains 20 patient samples and 7 processed samples for myoglobin in ng/mL. Because the dispersion of differences on the original scale increases with concentration, the standard applies a log10 transformation to every replicate result before fitting the Deming relationship.
Code
ep14_c2_data <- read_csv(
"./data/006-基质效应与互换性/std-ep14-appendix-c2.csv",
show_col_types = FALSE
)
head(ep14_c2_data, 6)# A tibble: 6 × 7
sample_id material_type run_order procedure replicate result position
<chr> <chr> <dbl> <chr> <dbl> <dbl> <lgl>
1 CS01 clinical 6 A 1 81.2 NA
2 CS01 clinical 6 A 2 77.0 NA
3 CS01 clinical 6 A 3 76.4 NA
4 CS01 clinical 6 B 1 80.7 NA
5 CS01 clinical 6 B 2 82.2 NA
6 CS01 clinical 6 B 3 81.3 NA Code
ep14_c2 <- commutability(
ep14_c2_data,
sample_id = "sample_id",
material_type = "material_type",
procedure = "procedure",
result = "result",
approach = "ep14",
scale = "log10",
procedure_pairs = list(c("A", "B")),
conf.level = 0.95
)
summary(ep14_c2)
Commutability assessment
Study-design checks: 2 met, 0 unmet. Unmet checks do not invalidate computations; inspect '$design_checks'.
Approach : EP14
Scale : log10
Procedure pairs : 1
Reference materials : 7
Procedure pair: A vs B | Reference material: a
Mean X : 2.8940948
Mean Y : 2.8397634
Predicted Y : 2.8935335
Residual : -0.053770073
Prediction SE : 0.020229796
Lower : 2.8526475
Upper : 2.9344194
Extrapolated : FALSE
Classification : noncommutable
procedure_x : A
procedure_y : B
Procedure pair: A vs B | Reference material: b
Mean X : 2.6008874
Mean Y : 2.5519334
Predicted Y : 2.5995654
Residual : -0.047631984
Prediction SE : 0.01996673
Lower : 2.5592112
Upper : 2.6399197
Extrapolated : FALSE
Classification : noncommutable
procedure_x : A
procedure_y : B
Procedure pair: A vs B | Reference material: c
Mean X : 3.1955496
Mean Y : 3.2183062
Predicted Y : 3.1957703
Residual : 0.022535935
Prediction SE : 0.021016093
Lower : 3.1532952
Upper : 3.2382454
Extrapolated : FALSE
Classification : commutable
procedure_x : A
procedure_y : B
Procedure pair: A vs B | Reference material: d
Mean X : 2.0161898
Mean Y : 1.96499
Predicted Y : 2.0133509
Residual : -0.048360943
Prediction SE : 0.020959923
Lower : 1.9709893
Upper : 2.0557125
Extrapolated : FALSE
Classification : noncommutable
procedure_x : A
procedure_y : B
Procedure pair: A vs B | Reference material: e
Mean X : 3.4766983
Mean Y : 3.4720027
Predicted Y : 3.4776484
Residual : -0.0056457436
Prediction SE : 0.022172569
Lower : 3.432836
Upper : 3.5224608
Extrapolated : FALSE
Classification : commutable
procedure_x : A
procedure_y : B
Procedure pair: A vs B | Reference material: f
Mean X : 2.3100027
Mean Y : 2.2570492
Predicted Y : 2.307926
Residual : -0.050876857
Prediction SE : 0.020214197
Lower : 2.2670716
Upper : 2.3487804
Extrapolated : FALSE
Classification : noncommutable
procedure_x : A
procedure_y : B
Procedure pair: A vs B | Reference material: g
Mean X : 1.7036698
Mean Y : 1.6448325
Predicted Y : 1.7000201
Residual : -0.05518756
Prediction SE : 0.022243376
Lower : 1.6550646
Upper : 1.7449756
Extrapolated : FALSE
Classification : noncommutable
procedure_x : A
procedure_y : B
EP14 model estimates
Procedure pair: A vs B
Clinical samples : 20
Variance X : 0.00056562731
Variance Y : 0.00057048831
Lambda : 1.008594
Intercept : -0.008069495
Slope : 1.0025943
Slope SE : 0.010966691
DF : 40
procedure_x : A
procedure_y : B| 标准位置 | 统计量 | 标准结果 | ivdtools结果 |
|---|---|---|---|
| EP14 C2 | variance_x | 0.000566 | 0.0005656 |
| EP14 C2 | variance_y | 0.000571 | 0.0005705 |
| EP14 C2 | lambda | 1.009000 | 1.0085940 |
| EP14 C2 | slope | 1.002600 | 1.0025943 |
| EP14 C2 | intercept | -0.008100 | -0.0080695 |
| EP14 C2 | prediction_at_x_1.64 | 1.635000 | 1.6361851 |
| EP14 C2 | prediction_se_at_x_1.64 | 0.022600 | 0.0225598 |
| EP14 C2 | lower_at_x_1.64 | 1.589000 | 1.5905901 |
| EP14 C2 | upper_at_x_1.64 | 1.681000 | 1.6817802 |
| EP14 C2 | noncommutable_count | 5.000000 | 5.0000000 |
| rm | mean_x | mean_y | predicted_y | lower | upper | extrapolated | classification |
|---|---|---|---|---|---|---|---|
| a | 2.8941 | 2.8398 | 2.8935 | 2.8526 | 2.9344 | FALSE | Non-commutable |
| b | 2.6009 | 2.5519 | 2.5996 | 2.5592 | 2.6399 | FALSE | Non-commutable |
| c | 3.1955 | 3.2183 | 3.1958 | 3.1533 | 3.2382 | FALSE | Commutable |
| d | 2.0162 | 1.9650 | 2.0134 | 1.9710 | 2.0557 | FALSE | Non-commutable |
| e | 3.4767 | 3.4720 | 3.4776 | 3.4328 | 3.5225 | FALSE | Commutable |
| f | 2.3100 | 2.2570 | 2.3079 | 2.2671 | 2.3488 | FALSE | Non-commutable |
| g | 1.7037 | 1.6448 | 1.7000 | 1.6551 | 1.7450 | FALSE | Non-commutable |
Code
plot(ep14_c2)
Processed samples a, b, d, f, and g are noncommutable, while c and e are commutable, giving five noncommutable materials in total. No processed sample is extrapolated.
6.5.3 CLSI EP30-A Appendix B: Multi-Procedure Reference-Material Data
EP30-A Appendix B provides 25 clinical samples, 7 candidate reference materials, 10 measurement procedures, and three replicate measurements per combination.
Code
ep30_raw <- read_csv(
"./data/006-基质效应与互换性/std-ep30-appendix-b.csv",
show_col_types = FALSE
)6.5.3.1 MA–MB and MA–MD Regression Results
Use approach = "ep30" directly. The seven candidate reference materials are used independently in this example, so rm_set_size = 1; the function does not automatically treat the total number of materials as the size of a correlated set.
Code
ep30_result <- commutability(
ep30_raw,
sample_id = "specimen",
material_type = "type",
procedure = "method",
result = "result",
approach = "ep30",
scale = "raw",
procedure_pairs = list(c("MA", "MB"), c("MA", "MD")),
conf.level = 0.95,
rm_set_size = 1,
relative_residual_limit = 2
)
ep30_result
Commutability assessment
Study-design checks: 8 met, 0 unmet. Unmet checks do not invalidate computations; inspect '$design_checks'.
Approach : EP30
Scale : raw
Procedure pairs : 2
Reference materials : 14
Procedure pair: MA vs MB | Reference material: RMA
Mean X : 12.4
Mean Y : 14.3
Predicted Y : 15.576069
Residual : -1.2760688
Prediction SE : 1.8530797
Lower : 11.944099
Upper : 19.208038
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1890275
Relative residual : 1.0732038
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MB
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MB | Reference material: RMB
Mean X : 24.1
Mean Y : 26.9
Predicted Y : 26.829327
Residual : 0.070672943
Prediction SE : 1.8454797
Lower : 23.212253
Upper : 30.446401
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1890275
Relative residual : -0.059437604
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MB
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MB | Reference material: RMC
Mean X : 35.4
Mean Y : 37
Predicted Y : 37.697859
Residual : -0.69785851
Prediction SE : 1.8688251
Lower : 34.035029
Upper : 41.360688
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1890275
Relative residual : 0.58691538
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MB
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MB | Reference material: RMD
Mean X : 42.2
Mean Y : 41.7
Predicted Y : 44.238214
Residual : -2.5382137
Prediction SE : 1.8969998
Lower : 40.520162
Upper : 47.956265
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1890275
Relative residual : 2.1346973
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MB
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MB | Reference material: RME
Mean X : 15.3
Mean Y : 19
Predicted Y : 18.365338
Residual : 0.63466204
Prediction SE : 1.8481767
Lower : 14.742978
Upper : 21.987698
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1890275
Relative residual : -0.53376567
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MB
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MB | Reference material: RMF
Mean X : 21
Mean Y : 20
Predicted Y : 23.847695
Residual : -3.8476945
Prediction SE : 1.8443328
Lower : 20.232869
Upper : 27.46252
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.1890275
Relative residual : 3.2360014
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MB
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MA vs MB | Reference material: RMG
Mean X : 17
Mean Y : 21.1
Predicted Y : 20.000427
Residual : 1.0995732
Prediction SE : 1.8462245
Lower : 16.381893
Upper : 23.61896
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.1890275
Relative residual : -0.9247669
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MB
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MD | Reference material: RMA
Mean X : 12.4
Mean Y : 11.4
Predicted Y : 10.746146
Residual : 0.65385407
Prediction SE : 1.8882069
Lower : 7.0453283
Upper : 14.446964
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0324006
Relative residual : -0.63333369
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MD | Reference material: RMB
Mean X : 24.1
Mean Y : 19.9
Predicted Y : 20.509565
Residual : -0.60956453
Prediction SE : 1.8825915
Lower : 16.819753
Upper : 24.199376
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0324006
Relative residual : 0.59043412
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MD | Reference material: RMC
Mean X : 35.4
Mean Y : 29.6
Predicted Y : 29.939191
Residual : -0.33919104
Prediction SE : 1.8998608
Lower : 26.215532
Upper : 33.66285
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0324006
Relative residual : 0.32854596
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MD | Reference material: RMD
Mean X : 42.2
Mean Y : 34.6
Predicted Y : 35.613657
Residual : -1.0136566
Prediction SE : 1.9207804
Lower : 31.848996
Upper : 39.378317
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0324006
Relative residual : 0.98184422
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MD | Reference material: RME
Mean X : 15.3
Mean Y : 13.2
Predicted Y : 13.166139
Residual : 0.033861426
Prediction SE : 1.8845835
Lower : 9.4724228
Upper : 16.859854
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0324006
Relative residual : -0.032798728
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable
Procedure pair: MA vs MD | Reference material: RMF
Mean X : 21
Mean Y : 24.9
Predicted Y : 17.922676
Residual : 6.9773242
Prediction SE : 1.8817446
Lower : 14.234524
Upper : 21.610828
Extrapolated : FALSE
Prediction classification : noncommutable
Sy.x : 1.0324006
Relative residual : -6.7583496
Relative-residual limit : 2
Relative-residual classification : noncommutable
procedure_x : MA
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : noncommutable
Procedure pair: MA vs MD | Reference material: RMG
Mean X : 17
Mean Y : 14.7
Predicted Y : 14.584755
Residual : 0.11524505
Prediction SE : 1.8831415
Lower : 10.893865
Upper : 18.275645
Extrapolated : FALSE
Prediction classification : commutable
Sy.x : 1.0324006
Relative residual : -0.11162823
Relative-residual limit : 2
Relative-residual classification : commutable
procedure_x : MA
procedure_y : MD
critical_value : 1.959964
rm_set_size : 1
classification : commutable6.5.3.2 Reference-Material Predictions and Relative Residuals
The relative residual in EP30 Table 1 is the distance from the reference material to the regression line divided by the clinical-sample regression standard error. commutability() returns the sign used in the table, predicted value − measured value, and uses \(n-1\) as the denominator degrees of freedom for \(S_{y.x}\) as in the example. Prediction intervals are calculated separately using Appendix C16–C20.
| 标准位置 | 统计量 | 标准结果 | ivdtools结果 |
|---|---|---|---|
| EP30 MA-MB | intercept | 3.660 | 3.6495 |
| EP30 MA-MB | slope | 0.961 | 0.9618 |
| EP30 MA-MB | syx | 1.188 | 1.1890 |
| EP30 MA-MB | RMA | 1.088 | 1.0732 |
| EP30 MA-MB | RMB | -0.117 | -0.0594 |
| EP30 MA-MB | RMC | 0.601 | 0.5869 |
| EP30 MA-MB | RMD | 2.164 | 2.1347 |
| EP30 MA-MB | RME | -0.523 | -0.5338 |
| EP30 MA-MB | RMF | 3.241 | 3.2360 |
| EP30 MA-MB | RMG | -0.923 | -0.9248 |
| EP30 MA-MD | intercept | 0.396 | 0.3986 |
| EP30 MA-MD | slope | 0.834 | 0.8345 |
| EP30 MA-MD | syx | 1.033 | 1.0324 |
| EP30 MA-MD | RMA | -0.603 | -0.6333 |
| EP30 MA-MD | RMB | 0.518 | 0.5904 |
| EP30 MA-MD | RMC | 0.326 | 0.3285 |
| EP30 MA-MD | RMD | 0.997 | 0.9818 |
| EP30 MA-MD | RME | -0.021 | -0.0328 |
| EP30 MA-MD | RMF | -6.758 | -6.7583 |
| EP30 MA-MD | RMG | -0.066 | -0.1116 |
Under the ±2\(S_{y.x}\) rule, RMF in MA–MD is noncommutable; RMD and RMF in MA–MB exceed the limits. RMD remains commutable under the 95% prediction-interval method for MA–MB, showing that materials near a boundary can receive different classifications under different evaluation rules.
Prediction intervals and relative residuals classify RMD in MA–MB differently: the former calls it commutable, while the latter calls it noncommutable. This is a boundary difference caused by the evaluation rule; do not merge the two columns into an undefined “final classification.”
| 程序对 | 参考物质 | 预测值 | 下限 | 上限 | 区间判定 | 相对残差 | 残差判定 |
|---|---|---|---|---|---|---|---|
| MA vs MB | RMA | 15.576 | 11.944 | 19.208 | Commutable | 1.073 | Commutable |
| MA vs MB | RMB | 26.829 | 23.212 | 30.446 | Commutable | -0.059 | Commutable |
| MA vs MB | RMC | 37.698 | 34.035 | 41.361 | Commutable | 0.587 | Commutable |
| MA vs MB | RMD | 44.238 | 40.520 | 47.956 | Commutable | 2.135 | Non-commutable |
| MA vs MB | RME | 18.365 | 14.743 | 21.988 | Commutable | -0.534 | Commutable |
| MA vs MB | RMF | 23.848 | 20.233 | 27.463 | Non-commutable | 3.236 | Non-commutable |
| MA vs MB | RMG | 20.000 | 16.382 | 23.619 | Commutable | -0.925 | Commutable |
| MA vs MD | RMA | 10.746 | 7.045 | 14.447 | Commutable | -0.633 | Commutable |
| MA vs MD | RMB | 20.510 | 16.820 | 24.199 | Commutable | 0.590 | Commutable |
| MA vs MD | RMC | 29.939 | 26.216 | 33.663 | Commutable | 0.329 | Commutable |
| MA vs MD | RMD | 35.614 | 31.849 | 39.378 | Commutable | 0.982 | Commutable |
| MA vs MD | RME | 13.166 | 9.472 | 16.860 | Commutable | -0.033 | Commutable |
| MA vs MD | RMF | 17.923 | 14.235 | 21.611 | Non-commutable | -6.758 | Non-commutable |
| MA vs MD | RMG | 14.585 | 10.894 | 18.276 | Commutable | -0.112 | Commutable |
Code
plot(ep30_result)
Code
plot(ep30_result, method = "relative_residual")
6.5.4 IFCC Part 2 Official Supplement: Bias Difference and Uncertainty
The original IFCC Part 2 workbook contains 50 clinical samples and 5 reference materials. Following the supplement’s exclusions, all results for CS21 and the third replicate of CS6 on MPx are removed, leaving 49 clinical samples. Each reference material has five positions and three replicates per procedure. The analysis uses the natural-log scale, criterion \(C=0.12\), and coverage factor \(k=1.9\).
Code
ifcc_data <- read_csv(
"./data/006-基质效应与互换性/std-ifcc-part2-example.csv",
show_col_types = FALSE
)
table(ifcc_data$material_type, ifcc_data$procedure)
MPx MPy
clinical 146 147
rm 75 75Code
ifcc_result <- commutability(
ifcc_data,
sample_id = "sample_id",
material_type = "material_type",
procedure = "procedure",
result = "result",
position = "position",
approach = "ifcc",
scale = "ln",
procedure_pairs = list(c("MPx", "MPy")),
criterion = 0.12,
bias_model = "constant_global",
coverage_factor = 1.9,
rm_position = "pooled"
)
ifcc_result
Commutability assessment
Study-design checks: 4 met, 0 unmet. Unmet checks do not invalidate computations; inspect '$design_checks'.
Approach : IFCC
Scale : ln
Procedure pairs : 1
Reference materials : 5
Procedure pair: MPx vs MPy | Reference material: RM1
RM coordinate : 2.7755556
RM bias : 0.33925926
Clinical bias : 0.18095238
Difference in bias : 0.15830688
RM standard uncertainty : 0.037626363
Clinical standard uncertainty : 0.015516499
Standard uncertainty : 0.040700184
Expanded uncertainty : 0.077330349
Lower : 0.080976529
Upper : 0.23563723
Criterion : 0.12
Clinical samples : 49
Classification : inconclusive
procedure_x : MPx
procedure_y : MPy
position_mean_sd_x : 0.067355047
position_mean_sd_y : 0.050418387
positions_x : 5
positions_y : 5
position_pooling : pooled
Procedure pair: MPx vs MPy | Reference material: RM2
RM coordinate : 3.3097037
RM bias : 0.12903704
Clinical bias : 0.18095238
Difference in bias : -0.051915344
RM standard uncertainty : 0.037626363
Clinical standard uncertainty : 0.015516499
Standard uncertainty : 0.040700184
Expanded uncertainty : 0.077330349
Lower : -0.12924569
Upper : 0.025415005
Criterion : 0.12
Clinical samples : 49
Classification : inconclusive
procedure_x : MPx
procedure_y : MPy
position_mean_sd_x : 0.067355047
position_mean_sd_y : 0.050418387
positions_x : 5
positions_y : 5
position_pooling : pooled
Procedure pair: MPx vs MPy | Reference material: RM3
RM coordinate : 5.5979259
RM bias : 0.16
Clinical bias : 0.18095238
Difference in bias : -0.020952381
RM standard uncertainty : 0.037626363
Clinical standard uncertainty : 0.015516499
Standard uncertainty : 0.040700184
Expanded uncertainty : 0.077330349
Lower : -0.09828273
Upper : 0.056377968
Criterion : 0.12
Clinical samples : 49
Classification : commutable
procedure_x : MPx
procedure_y : MPy
position_mean_sd_x : 0.067355047
position_mean_sd_y : 0.050418387
positions_x : 5
positions_y : 5
position_pooling : pooled
Procedure pair: MPx vs MPy | Reference material: RM4
RM coordinate : 1.607037
RM bias : 0.073333333
Clinical bias : 0.18095238
Difference in bias : -0.10761905
RM standard uncertainty : 0.037626363
Clinical standard uncertainty : 0.015516499
Standard uncertainty : 0.040700184
Expanded uncertainty : 0.077330349
Lower : -0.1849494
Upper : -0.030288699
Criterion : 0.12
Clinical samples : 49
Classification : inconclusive
procedure_x : MPx
procedure_y : MPy
position_mean_sd_x : 0.067355047
position_mean_sd_y : 0.050418387
positions_x : 5
positions_y : 5
position_pooling : pooled
Procedure pair: MPx vs MPy | Reference material: RM5
RM coordinate : 4.4167407
RM bias : 0.85866667
Clinical bias : 0.18095238
Difference in bias : 0.67771429
RM standard uncertainty : 0.037626363
Clinical standard uncertainty : 0.015516499
Standard uncertainty : 0.040700184
Expanded uncertainty : 0.077330349
Lower : 0.60038394
Upper : 0.75504463
Criterion : 0.12
Clinical samples : 49
Classification : noncommutable
procedure_x : MPx
procedure_y : MPy
position_mean_sd_x : 0.067355047
position_mean_sd_y : 0.050418387
positions_x : 5
positions_y : 5
position_pooling : pooled| 标准位置 | 统计量 | 标准结果 | ivdtools结果 |
|---|---|---|---|
| IFCC Part 2 / RM1 | 偏倚差 D_RM | 0.1583069 | 0.1583069 |
| IFCC Part 2 / RM1 | 扩展不确定度 U(D_RM) | 0.0773303 | 0.0773303 |
| IFCC Part 2 / RM1 | 区间下限 | 0.0809765 | 0.0809765 |
| IFCC Part 2 / RM1 | 区间上限 | 0.2356372 | 0.2356372 |
| IFCC Part 2 / RM1 | 分类 | Inconclusive | Inconclusive |
| IFCC Part 2 / RM2 | 偏倚差 D_RM | -0.0519153 | -0.0519153 |
| IFCC Part 2 / RM2 | 扩展不确定度 U(D_RM) | 0.0773303 | 0.0773303 |
| IFCC Part 2 / RM2 | 区间下限 | -0.1292457 | -0.1292457 |
| IFCC Part 2 / RM2 | 区间上限 | 0.0254150 | 0.0254150 |
| IFCC Part 2 / RM2 | 分类 | Inconclusive | Inconclusive |
| IFCC Part 2 / RM3 | 偏倚差 D_RM | -0.0209524 | -0.0209524 |
| IFCC Part 2 / RM3 | 扩展不确定度 U(D_RM) | 0.0773303 | 0.0773303 |
| IFCC Part 2 / RM3 | 区间下限 | -0.0982827 | -0.0982827 |
| IFCC Part 2 / RM3 | 区间上限 | 0.0563780 | 0.0563780 |
| IFCC Part 2 / RM3 | 分类 | Commutable | Commutable |
| IFCC Part 2 / RM4 | 偏倚差 D_RM | -0.1076190 | -0.1076190 |
| IFCC Part 2 / RM4 | 扩展不确定度 U(D_RM) | 0.0773303 | 0.0773303 |
| IFCC Part 2 / RM4 | 区间下限 | -0.1849494 | -0.1849494 |
| IFCC Part 2 / RM4 | 区间上限 | -0.0302887 | -0.0302887 |
| IFCC Part 2 / RM4 | 分类 | Inconclusive | Inconclusive |
| IFCC Part 2 / RM5 | 偏倚差 D_RM | 0.6777143 | 0.6777143 |
| IFCC Part 2 / RM5 | 扩展不确定度 U(D_RM) | 0.0773303 | 0.0773303 |
| IFCC Part 2 / RM5 | 区间下限 | 0.6003839 | 0.6003839 |
| IFCC Part 2 / RM5 | 区间上限 | 0.7550446 | 0.7550446 |
| IFCC Part 2 / RM5 | 分类 | Non-commutable | Non-commutable |
| 标准位置 | 统计量 | 标准结果 | ivdtools结果 |
|---|---|---|---|
| IFCC Part 2 / uncertainty components | 临床样品平均偏倚 | 0.18095238 | 0.18095238 |
| IFCC Part 2 / uncertainty components | MPx 合并位置均值 SD | 0.06735505 | 0.06735505 |
| IFCC Part 2 / uncertainty components | MPy 合并位置均值 SD | 0.05041839 | 0.05041839 |
| IFCC Part 2 / uncertainty components | 参考物质标准不确定度 | 0.03762636 | 0.03762636 |
| IFCC Part 2 / uncertainty components | 临床样品标准不确定度 | 0.01551650 | 0.01551650 |
| IFCC Part 2 / uncertainty components | 偏倚差标准不确定度 | 0.04070018 | 0.04070018 |
| IFCC Part 2 / uncertainty components | 偏倚差扩展不确定度 | 0.07733035 | 0.07733035 |
Code
plot(ifcc_result)
The classification of RM3 depends on pooling the position-mean variance across reference materials as specified by the official method. If position variance is estimated separately for each material, both the algorithm and classification definition change; formal reports must record the rm_position setting.
6.5.5 IFCC Part 3 Official Supplement: Calibration-Validity Assessment
The official IFCC Part 3 case contains 40 clinical samples and 7 measurement procedures. Table S1 contains results from the manufacturer’s original calibration scheme. For each clinical sample, the initial target is the mean of the middle five values after removing the largest and smallest of the seven procedure results. Table S2 contains results after recalibration with two candidate reference-material levels but still uses the initial targets from Table S1; targets must not be redefined from the post-calibration results.
Code
ifcc_part3_data <- read_csv(
"./data/006-基质效应与互换性/std-ifcc-part3-example.csv",
show_col_types = FALSE
)
table(
ifcc_part3_data$calibration_stage,
ifcc_part3_data$procedure
)
MP1 MP2 MP3 MP4 MP5 MP6 MP7
after 40 40 40 40 40 40 40
before 40 40 40 40 40 40 40First evaluate all seven procedures. criterion = 6 is the prespecified IMPBR percentage criterion in the paper example; w3_reference_procedure = "MP1" applies the MP1 SD/W(3) ratio to adjust each procedure’s W(3), as in the original analysis.
Code
ifcc_part3_result <- commutability(
ifcc_part3_data,
sample_id = "sample_id",
procedure = "procedure",
result = "result",
approach = "calibration",
calibration_stage = "calibration_stage",
criterion = 6,
w3_reference_procedure = "MP1"
)
ifcc_part3_excluding_mp6 <- commutability(
ifcc_part3_data,
sample_id = "sample_id",
procedure = "procedure",
result = "result",
approach = "calibration",
calibration_stage = "calibration_stage",
criterion = 6,
exclude_procedures = "MP6",
w3_reference_procedure = "MP1"
)
ifcc_part3_excluding_mp6
Commutability assessment
Study-design checks: 4 met, 0 unmet. Unmet checks do not invalidate computations; inspect '$design_checks'.
Approach : CALIBRATION (IFCC PART 3)
Scale : raw
Procedures : 7
Clinical samples : 40
IMPBR criterion (%) : 6
Stage: before | Procedure: MP1
Clinical samples : 40
Median bias (%) : -0.38910506
Bias SD (%) : 4.0149558
Adjusted W(3) (%) : 4.0149558
Included after investigation : TRUE
w3_percent : 11.18415
trend_intercept : 1.288401
trend_slope : -0.019331579
trend_p_value : 0.54012483
Stage: before | Procedure: MP2
Clinical samples : 40
Median bias (%) : 9.5282484
Bias SD (%) : 5.7222879
Adjusted W(3) (%) : 5.5726509
Included after investigation : TRUE
w3_percent : 15.5233
trend_intercept : 5.3027017
trend_slope : 0.060976356
trend_p_value : 0.17087519
Stage: before | Procedure: MP3
Clinical samples : 40
Median bias (%) : 20.680902
Bias SD (%) : 9.5434313
Adjusted W(3) (%) : 5.9037259
Included after investigation : TRUE
w3_percent : 16.44555
trend_intercept : 24.218286
trend_slope : -0.029099244
trend_p_value : 0.69847835
Stage: before | Procedure: MP4
Clinical samples : 40
Median bias (%) : 46.552662
Bias SD (%) : 6.7290862
Adjusted W(3) (%) : 5.8855004
Included after investigation : TRUE
w3_percent : 16.394781
trend_intercept : 61.15902
trend_slope : -0.20881729
trend_p_value : 7.623953e-06
Stage: before | Procedure: MP5
Clinical samples : 40
Median bias (%) : -30.046827
Bias SD (%) : 4.5852825
Adjusted W(3) (%) : 3.4941653
Included after investigation : TRUE
w3_percent : 9.7334245
trend_intercept : -30.931755
trend_slope : 0.021966809
trend_p_value : 0.54217093
Stage: before | Procedure: MP6
Clinical samples : 40
Median bias (%) : -19.447183
Bias SD (%) : 5.2950133
Adjusted W(3) (%) : 3.9604755
Included after investigation : FALSE
w3_percent : 11.032389
trend_intercept : -22.796747
trend_slope : 0.052621097
trend_p_value : 0.20230744
Stage: before | Procedure: MP7
Clinical samples : 40
Median bias (%) : -11.427474
Bias SD (%) : 5.6481377
Adjusted W(3) (%) : 4.6290488
Included after investigation : TRUE
w3_percent : 12.894781
trend_intercept : -6.5515631
trend_slope : -0.085122896
trend_p_value : 0.049743566
Stage: after | Procedure: MP1
Clinical samples : 40
Median bias (%) : -0.73741264
Bias SD (%) : 4.0413178
Adjusted W(3) (%) : 4.0413178
Included after investigation : TRUE
w3_percent : 11.18415
trend_intercept : -0.026587184
trend_slope : 0.00031214807
trend_p_value : 0.99217849
Stage: after | Procedure: MP2
Clinical samples : 40
Median bias (%) : -0.2908762
Bias SD (%) : 4.9916593
Adjusted W(3) (%) : 4.9666072
Included after investigation : TRUE
w3_percent : 13.744843
trend_intercept : -1.641973
trend_slope : 0.015950627
trend_p_value : 0.68473953
Stage: after | Procedure: MP3
Clinical samples : 40
Median bias (%) : -0.17136128
Bias SD (%) : 7.8422761
Adjusted W(3) (%) : 4.8633169
Included after investigation : TRUE
w3_percent : 13.458993
trend_intercept : 4.3152226
trend_slope : -0.048689788
trend_p_value : 0.42878141
Stage: after | Procedure: MP4
Clinical samples : 40
Median bias (%) : -0.28195489
Bias SD (%) : 3.7935062
Adjusted W(3) (%) : 3.3947339
Included after investigation : TRUE
w3_percent : 9.3947606
trend_intercept : 0.83067063
trend_slope : -0.0060932695
trend_p_value : 0.8384197
Stage: after | Procedure: MP5
Clinical samples : 40
Median bias (%) : 0.3245325
Bias SD (%) : 6.3376024
Adjusted W(3) (%) : 4.3522181
Included after investigation : TRUE
w3_percent : 12.044551
trend_intercept : 4.4394388
trend_slope : -0.051202332
trend_p_value : 0.30174764
Stage: after | Procedure: MP6
Clinical samples : 40
Median bias (%) : -21.313277
Bias SD (%) : 4.8895959
Adjusted W(3) (%) : 3.5271045
Included after investigation : FALSE
w3_percent : 9.7610897
trend_intercept : -21.87256
trend_slope : 0.0074119906
trend_p_value : 0.8473998
Stage: after | Procedure: MP7
Clinical samples : 40
Median bias (%) : -1.0730622
Bias SD (%) : 6.4531842
Adjusted W(3) (%) : 4.9939824
Included after investigation : TRUE
w3_percent : 13.820603
trend_intercept : -1.6436293
trend_slope : 0.013117511
trend_p_value : 0.79632873
Stage: before | Assessment set: all
Procedures : 7
IMPBR (%) : 76.599489
Minimum procedure : MP5
Maximum procedure : MP4
Criterion (%) : 6
Excluded procedures :
Classification : screening
min_bias_percent : -30.046827
max_bias_percent : 46.552662
Stage: before | Assessment set: specified_exclusions
Procedures : 6
IMPBR (%) : 76.599489
Minimum procedure : MP5
Maximum procedure : MP4
Criterion (%) : 6
Excluded procedures : MP6
Classification : screening
min_bias_percent : -30.046827
max_bias_percent : 46.552662
Stage: after | Assessment set: all
Procedures : 7
IMPBR (%) : 21.63781
Minimum procedure : MP6
Maximum procedure : MP5
Criterion (%) : 6
Excluded procedures :
Classification : requires_investigation
min_bias_percent : -21.313277
max_bias_percent : 0.3245325
Stage: after | Assessment set: specified_exclusions
Procedures : 6
IMPBR (%) : 1.3975947
Minimum procedure : MP7
Maximum procedure : MP5
Criterion (%) : 6
Excluded procedures : MP6
Classification : commutable
min_bias_percent : -1.0730622
max_bias_percent : 0.3245325| 标准位置 | 统计量 | 标准结果 | ivdtools结果 |
|---|---|---|---|
| IFCC Part 3 / before / MP1 | median_bias_percent | -0.40 | -0.3891 |
| IFCC Part 3 / before / MP1 | sd_bias_percent | 4.01 | 4.0150 |
| IFCC Part 3 / before / MP1 | adjusted_w3_percent | 4.01 | 4.0150 |
| IFCC Part 3 / before / MP2 | median_bias_percent | 9.50 | 9.5282 |
| IFCC Part 3 / before / MP2 | sd_bias_percent | 5.72 | 5.7223 |
| IFCC Part 3 / before / MP2 | adjusted_w3_percent | 5.57 | 5.5727 |
| IFCC Part 3 / before / MP3 | median_bias_percent | 20.70 | 20.6809 |
| IFCC Part 3 / before / MP3 | sd_bias_percent | 9.54 | 9.5434 |
| IFCC Part 3 / before / MP3 | adjusted_w3_percent | 5.90 | 5.9037 |
| IFCC Part 3 / before / MP4 | median_bias_percent | 46.60 | 46.5527 |
| IFCC Part 3 / before / MP4 | sd_bias_percent | 6.73 | 6.7291 |
| IFCC Part 3 / before / MP4 | adjusted_w3_percent | 5.89 | 5.8855 |
| IFCC Part 3 / before / MP5 | median_bias_percent | -30.00 | -30.0468 |
| IFCC Part 3 / before / MP5 | sd_bias_percent | 4.59 | 4.5853 |
| IFCC Part 3 / before / MP5 | adjusted_w3_percent | 3.49 | 3.4942 |
| IFCC Part 3 / before / MP6 | median_bias_percent | -19.40 | -19.4472 |
| IFCC Part 3 / before / MP6 | sd_bias_percent | 5.30 | 5.2950 |
| IFCC Part 3 / before / MP6 | adjusted_w3_percent | 3.96 | 3.9605 |
| IFCC Part 3 / before / MP7 | median_bias_percent | -11.40 | -11.4275 |
| IFCC Part 3 / before / MP7 | sd_bias_percent | 5.65 | 5.6481 |
| IFCC Part 3 / before / MP7 | adjusted_w3_percent | 4.63 | 4.6290 |
| IFCC Part 3 / after / MP1 | median_bias_percent | -0.80 | -0.7374 |
| IFCC Part 3 / after / MP1 | sd_bias_percent | 4.05 | 4.0413 |
| IFCC Part 3 / after / MP1 | adjusted_w3_percent | 4.05 | 4.0413 |
| IFCC Part 3 / after / MP2 | median_bias_percent | -0.30 | -0.2909 |
| IFCC Part 3 / after / MP2 | sd_bias_percent | 4.99 | 4.9917 |
| IFCC Part 3 / after / MP2 | adjusted_w3_percent | 4.98 | 4.9666 |
| IFCC Part 3 / after / MP3 | median_bias_percent | -0.20 | -0.1714 |
| IFCC Part 3 / after / MP3 | sd_bias_percent | 7.83 | 7.8423 |
| IFCC Part 3 / after / MP3 | adjusted_w3_percent | 4.95 | 4.8633 |
| IFCC Part 3 / after / MP4 | median_bias_percent | -0.30 | -0.2820 |
| IFCC Part 3 / after / MP4 | sd_bias_percent | 3.80 | 3.7935 |
| IFCC Part 3 / after / MP4 | adjusted_w3_percent | 3.45 | 3.3947 |
| IFCC Part 3 / after / MP5 | median_bias_percent | 0.40 | 0.3245 |
| IFCC Part 3 / after / MP5 | sd_bias_percent | 6.34 | 6.3376 |
| IFCC Part 3 / after / MP5 | adjusted_w3_percent | 4.39 | 4.3522 |
| IFCC Part 3 / after / MP6 | median_bias_percent | -21.30 | -21.3133 |
| IFCC Part 3 / after / MP6 | sd_bias_percent | 4.89 | 4.8896 |
| IFCC Part 3 / after / MP6 | adjusted_w3_percent | 3.57 | 3.5271 |
| IFCC Part 3 / after / MP7 | median_bias_percent | -1.10 | -1.0731 |
| IFCC Part 3 / after / MP7 | sd_bias_percent | 6.45 | 6.4532 |
| IFCC Part 3 / after / MP7 | adjusted_w3_percent | 5.06 | 4.9940 |
| IFCC Part 3 / before / ALL | impbr_percent | 76.60 | 76.5995 |
| IFCC Part 3 / after / ALL | impbr_percent | 21.60 | 21.6378 |
| IFCC Part 3 / after / EXCLUDE_MP6 | impbr_percent | 1.50 | 1.3976 |
For the complete procedure set, IMPBR decreases from approximately 76.6% before calibration to approximately 21.6% after calibration, but remains above 6%, so the function returns “requires investigation.” It does not automatically classify the candidate reference material as noncommutable for all procedures or remove a procedure. The original investigation identified the candidate reference material as unsuitable for MP6; after explicitly setting exclude_procedures = "MP6", the IMPBR for the remaining six procedures is approximately 1.4% based on the values listed in the supplement, meeting the 6% criterion.
The paper reports an IMPBR of 1.5% after excluding MP6, whereas recalculation from the published Table S1 and S2 values gives approximately 1.4%. The unrounded internal values used in the paper were not published with the supplement, so it is not possible to determine whether the approximately 0.1 percentage-point difference is caused only by rounding; both values are retained as reported.
Code
plot(ifcc_part3_result)
leave_one_out shows sensitivity results after omitting each procedure and is intended only to identify an investigation direction. Formal conclusions require support from the calibration model, precision, and interference investigations; the MP6 exclusion in this case is the conclusion of the original investigation, not a procedure selected automatically by the software to minimize IMPBR.
6.5.6 Real-Application Comparison: POCT Glucose EQA Materials
Wang et al. reported a real-application study in 2020: three EQA materials at three concentration levels were measured together with 33 individual clinical samples on five POCT glucose meters and one Hitachi 7600 analyzer. The study used both the CLSI EP30-A Deming-regression 95% prediction interval and the IFCC bias-difference method. After exclusions, the IFCC analysis used 30 clinical samples, a 10% criterion, and a coverage factor of 1.9.
| EQA material | CLSI prediction-interval result | IFCC bias-difference result |
|---|---|---|
| In-house human whole blood (HWB) | All three levels were commutable on all 5/5 POCT meters | The three levels were commutable on 3/5, 4/5, and 3/5 meters; two meters were commutable at all three levels |
| Commercial control material (CCM) | The three levels were commutable on 3/5, 2/5, and 4/5 meters | All 5 meters were inconclusive or noncommutable |
| Pooled human serum (PHS) | The three levels were commutable on 4/5, 3/5, and 5/5 meters | All 5 meters were inconclusive or noncommutable |
Both paths showed that in-house human whole blood performed better than commercial control material and pooled human serum, while the IFCC conclusion was more conservative. The investigators suggested that inconclusive results could be related to insufficient replicate or clinical-sample counts, poorer measurement precision, and larger sample-specific differences. This case illustrates that prediction intervals and bias differences address different questions and handle uncertainty differently; the same material can receive different classifications for different procedure pairs, concentrations, and decision paths.
The paper does not provide enough individual measurements to reconstruct the complete numerical analysis here. This is therefore a real-application comparison of study design and published results, not numerical validation evidence for ivdtools. See Wang et al., 2020, Journal of Clinical Laboratory Analysis.