Table 1.

Simulation results for our generalized meta-analysis estimators in the logistic regression setting; estimated standard deviations were obtained by taking averages over simulated datasets and were used to construct confidence intervals, whose coverage rates and average lengths are reported

		Bias	SD (, )	RMSE	CR	AL
genmeta.0		0.010	0.161 (0.161, 0.162)	0.161	0.968, 0.964	0.642, 0.636
		0.005	0.110 (0.111, 0.108)	0.110	0.958, 0.960	0.434, 0.423
		0.001	0.138 (0.143, 0.142)	0.138	0.963, 0.964	0.559, 0.556
genmeta.1		0.005	0.117 (0.116, 0.110)	0.117	0.976, 0.966	0.455, 0.433
		0.003	0.101 (0.105, 0.099)	0.101	0.964, 0.955	0.411, 0.386
		0.001	0.099 (0.102, 0.097)	0.099	0.973, 0.961	0.402, 0.381
genmeta.2		0.007	0.115 (0.116, 0.111)	0.115	0.971, 0.964	0.455, 0.435
		0.003	0.102 (0.105, 0.099)	0.102	0.960, 0.959	0.413, 0.388
		0.003	0.098 (0.103, 0.098)	0.098	0.957, 0.957	0.403, 0.383

SD, standard deviation; ESD, estimated standard deviation using the reference sample; ESD, estimated standard deviation using the covariance estimates of reduced model parameters from the studies; RMSE, square root of mean square error; CR, coverage rate of 95% confidence intervals; AL, average length of 95% confidence intervals.