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. 2020 Jun 4;10:9143. doi: 10.1038/s41598-020-65767-7

Table 4.

Results of simulation study for the SHP2 inhibition experiment with 10 mice per group and 7 measurements per mouse30.

Scenario ρ True β2 Model Mean estimated β2 (IQR) Coverage Power Type I error**
1 0 −0.008 Ind −0.0080 (−0.0118, −0.0041) 0.9477 0.3020 0.0520
AR-1 −0.0080 (−0.0117, −0.0041) 0.9503 0.2907 0.0483
CS −0.0080 (−0.0117, −0.0041) 0.9320 0.3180 0.0590
IND-I −0.0082 (−0.0145, −0.0020) 0.9540 0.1347 0.0543
Mixed AR-1* −0.0079 (−0.0115, −0.0042) 0.9659 0.2638 0.0385
2 0 −0.015 Ind −0.0150 (−0.0187, −0.0114) 0.9510 0.7690
AR-1 −0.0150 (−0.0187, −0.0114) 0.9550 0.7593
CS −0.0150 (−0.0187, −0.0113) 0.9410 0.7783
IND-I −0.0151 (−0.0213, −0.0090) 0.9570 0.3620
Mixed AR-1* −0.0148 (−0.0186, −0.0110) 0.9605 0.7125
3 0.5 −0.008 Ind −0.0079 (−0.0123, −0.0034) 0.8967 0.3323 0.1067
AR-1 −0.0079 (−0.0123, −0.0035) 0.9490 0.2187 0.0537
CS −0.0078 (−0.0125, −0.0033) 0.9090 0.2780 0.0907
IND-I −0.0077 (−0.0151, −0.0000) 0.8717 0.2063 0.1150
Mixed AR-1* −0.0076 (−0.0118, −0.0033) 0.9564 0.1891 0.0609
4 0.5 −0.015 Ind −0.0149 (−0.0195, −0.0104) 0.8947 0.7220
AR-1 −0.0150 (−0.0196, −0.0103) 0.9500 0.6040
CS −0.0150 (−0.0198, −0.0101) 0.9143 0.6510
IND-I −0.0150 (−0.0225, −0.0075) 0.8853 0.4163
Mixed AR-1* −0.0147 (−0.0194, −0.0101) 0.9511 0.5772
5§ 0.96 −0.008 Ind −0.0083 (−0.0157, −0.0010) 0.6522 0.4582 0.3427
AR-1 −0.0082 (−0.0128, −0.0037) 0.9507 0.2534 0.0523
CS −0.0082 (−0.0134, −0.0032) 0.6776 0.5605 0.3047
IND-I −0.0082 (−0.0136, −0.0031) 0.6742 0.5462 0.3093
Mixed AR-1* −0.0076 (−0.0119, −0.0032) 0.9280 0.2139 0.0597
6 0.96 −0.015 Ind −0.0148 (−0.0222, −0.0073) 0.6547 0.6523
AR-1 −0.0148 (−0.0192, −0.0103) 0.9413 0.6230
CS −0.0148 (−0.0198, −0.0099) 0.6847 0.8423
IND-I −0.0148 (−0.0200, −0.0097) 0.6787 0.8220
Mixed AR-1* −0.0144 (−0.0190, −0.1000) 0.9272 0.5857

Covariance matrix structures include independence (Ind), autoregressive (AR-1) & compound symmetry (CS). IND-I corresponds to the model with independence covariance structure and a mouse indicator (fixed-effects model). Mixed AR-1 corresponds to the mixed-effects model with random intercept.

*The percentage of datasets for which the model did not converge was 20.7, 24.7, 32.6, 37, 48, 50 for Scenario 1, 2, 3, 4, 5, 6, respectively. For the scenarios for type I error evaluation, the associated percentages were 18.5, 32 and 44 for ρ of 0, 0.5 and 0.96, respectively.

**Type I error is derived from corresponding scenarios with β2 = 0.

§Scenarios in bold face reflect parameter values actually observed in the experiment.