Table 4.
Scenario | ρ | True | Model | Mean estimated (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 = 0.
§Scenarios in bold face reflect parameter values actually observed in the experiment.