Table IV.

Empirical Size/Power of the six tests, likelihood ratio for Beta-Binomial (LR_BB), likelihood ratio for Gamma-Beta (LR_GB), fixed effects Mantel Hansel with 0 imputation (${\mathrm{MH}}_{\mathrm{F}}^{\left(0\right)}$) and with 0.5 imputation (${\mathrm{MH}}_{\mathrm{F}}^{\left(0.5\right)}$), DerSimonian-Laird random effects with 0.5 imputation (${\mathrm{DL}}_{\mathrm{R}}^{\left(0.5\right)}$), Peto’s method with fixed (P_F) and random effects (P_R), fully Bayesian approach (FB), as well as the fixed (Fix) relative risk approach with Gamma baseline for three settings: (a) e^τi = 1; (b) e^τi ~ Gamma(66.5, 50); and (c) e^τi ~ Gamma(0.665, 0.5).

		LRBB	LRGB	${\mathrm{MH}}_{\mathrm{F}}^{\left(0\right)}$	${\mathrm{MH}}_{\mathrm{F}}^{\left(0.5\right)}$	${\mathrm{DL}}_{\mathrm{R}}^{\left(0.5\right)}$	PF	PR	FB	Fix
a	M = 48	.044	.040	.054	.046	.034	.056	.043	.042	.055
	M = 480	.045	.048	.051	.142	.192	.051	.047	.078	.052
b	M = 48	.254	.269	.320	.169	.093	.324	.288	.109	.338
	M = 480	.998	.998	.999	.949	.785	.998	.998	.974	.998
c	M = 48	.833	.914	.422	.355	.102	.422	.101	.233	.430
	M = 480	1.00	1.00	.875	.742	.122	.875	.076	.932	.880