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Table 3 Results for the simulation 2(b): outcome variables were measured on two time-points for 40% trials and on three time-points for 60% trials

From: Efficient two-step multivariate random effects meta-analysis of individual participant data for longitudinal clinical trials using mixed effects models

  N = 5 N = 10 N = 15
τ2 = 0.10 τ2 = 0.20 τ2 = 0.10 τ2 = 0.20 τ2 = 0.10 τ2 = 0.20
μ2 = 0.14
 Mean 0.140 0.142 0.144 0.136 0.136 0.139
 SE 1.026 1.026 0.693 0.702 0.483 0.559
\( \widehat{\mathrm{SE}} \) 0.989 1.004 0.681 0.690 0.475 0.561
 Coverage Rate 0.947 0.950 0.948 0.946 0.948 0.953
 Power 0.057 0.052 0.058 0.058 0.061 0.053
μ4 = 0.83
 Mean 0.825 0.822 0.823 0.828 0.873 0.836
 SE 0.546 0.584 0.377 0.404 0.283 0.329
\( \widehat{\mathrm{SE}} \) 0.537 0.574 0.376 0.402 0.257 0.328
 Coverage Rate 0.948 0.950 0.950 0.947 0.907 0.947
 Power 0.347 0.316 0.591 0.548 0.892 0.717
μ5 = −0.46
 Mean −0.459 −0.459 −0.460 −0.459 −0.460 −0.461
 SE 0.147 0.204 0.103 0.143 0.073 0.118
\( \widehat{\mathrm{SE}} \) 0.143 0.200 0.102 0.143 0.073 0.117
 Coverage Rate 0.931 0.932 0.944 0.944 0.944 0.945
 Power 0.874 0.625 0.994 0.890 1.000 0.974
μ7 = 0.14
 Mean 0.145 0.145 0.136 0.135 0.138 0.141
 SE 0.295 0.359 0.207 0.245 0.147 0.202
\( \widehat{\mathrm{SE}} \) 0.291 0.346 0.206 0.245 0.145 0.201
 Coverage Rate 0.943 0.936 0.947 0.950 0.946 0.949
 Power 0.088 0.083 0.105 0.082 0.167 0.110
μ9 = 0.05
 Mean 0.051 0.052 0.051 0.055 0.049 0.050
 SE 0.185 0.263 0.133 0.184 0.093 0.151
\( \widehat{\mathrm{SE}} \) 0.178 0.252 0.128 0.181 0.091 0.149
 Coverage Rate 0.925 0.927 0.935 0.940 0.941 0.943
 Power 0.086 0.080 0.084 0.070 0.089 0.070
μ10 = −0.06
 Mean −0.062 − 0.063 − 0.060 − 0.060 − 0.060 − 0.059
 SE 0.150 0.205 0.106 0.146 0.075 0.118
\( \widehat{\mathrm{SE}} \) 0.147 0.203 0.105 0.145 0.074 0.118
 Coverage Rate 0.934 0.937 0.942 0.943 0.947 0.948
 Power 0.084 0.074 0.096 0.079 0.130 0.083