Table 1.

Results for the simulation 1: fully efficient one-step approach and the two-step marginal multivariate meta-analysis approach were compared

	N = 5		N = 10		N = 15		N = 20
	One-step	Two-step	One-step	Two-step	One-step	Two-step	One-step	Two-step
μ2 = 0.14
Mean	0.135	0.135	0.146	0.146	0.135	0.136	0.130	0.130
SE	0.866	0.867	0.612	0.613	0.495	0.496	0.434	0.435
$\widehat{\mathrm{SE}}$	0.867	0.866	0.608	0.606	0.495	0.494	0.428	0.427
Coverage Rate	0.949	0.950	0.948	0.947	0.949	0.947	0.950	0.948
Power	0.052	0.053	0.056	0.058	0.058	0.059	0.071	0.070
μ4 = 0.83
Mean	0.827	0.826	0.836	0.836	0.828	0.829	0.825	0.824
SE	0.415	0.416	0.287	0.287	0.236	0.236	0.206	0.205
$\widehat{\mathrm{SE}}$	0.410	0.410	0.287	0.287	0.234	0.234	0.202	0.202
Coverage Rate	0.950	0.950	0.951	0.951	0.948	0.947	0.939	0.941
Power	0.533	0.533	0.825	0.825	0.936	0.937	0.978	0.978
μ5 = −0.46
Mean	−0.461	−0.461	−0.460	−0.460	−0.460	−0.460	−0.461	−0.461
SE	0.032	0.032	0.023	0.023	0.018	0.018	0.016	0.016
$\widehat{\mathrm{SE}}$	0.032	0.032	0.022	0.022	0.018	0.018	0.016	0.016
Coverage Rate	0.949	0.948	0.949	0.947	0.953	0.955	0.951	0.949
Power	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000
μ7 = 0.14
Mean	0.139	0.139	0.141	0.141	0.143	0.143	0.144	0.144
SE	0.178	0.178	0.122	0.122	0.100	0.100	0.088	0.088
$\widehat{\mathrm{SE}}$	0.176	0.176	0.123	0.123	0.100	0.100	0.087	0.087
Coverage Rate	0.948	0.947	0.949	0.949	0.949	0.949	0.940	0.942
Power	0.127	0.128	0.211	0.215	0.295	0.297	0.382	0.381
μ9 = 0.05
Mean	0.050	0.050	0.050	0.050	0.050	0.050	0.050	0.050
SE	0.020	0.020	0.014	0.014	0.011	0.011	0.010	0.010
$\widehat{\mathrm{SE}}$	0.020	0.020	0.014	0.014	0.011	0.011	0.010	0.010
Coverage Rate	0.947	0.947	0.951	0.951	0.949	0.952	0.941	0.940
Power	0.734	0.735	0.947	0.947	0.995	0.995	0.999	0.999
μ10 = −0.06
Mean	−0.060	−0.060	−0.060	−0.060	−0.060	−0.060	−0.059	−0.059
SE	0.042	0.042	0.030	0.030	0.024	0.024	0.021	0.021
$\widehat{\mathrm{SE}}$	0.042	0.042	0.029	0.029	0.024	0.024	0.021	0.021
Coverage Rate	0.949	0.949	0.948	0.947	0.949	0.950	0.946	0.945
Power	0.301	0.302	0.540	0.543	0.700	0.701	0.811	0.811