Comparison of three tests of homogeneity of odds ratios in multicenter trials with unequal sample sizes within and among centers

Bagheri, Zahra; Ayatollahi, Seyyed Mohammad Taghi; Jafari, Peyman

doi:10.1186/1471-2288-11-58

Table 3 Type I error rate (when ) and the statistical power (when ) of homogeneity tests under equal sample size design.

From: Comparison of three tests of homogeneity of odds ratios in multicenter trials with unequal sample sizes within and among centers

		K = 4			K = 6			K = 8			K = 4			K = 6			K = 8
	n_k	LR	BD	DL	LR	BD	DL	LR	BD	DL	LR	BD	DL	LR	BD	DL	LR	BD	DL
0	E ₁	0.029	0.057	0.041	0.041	0.047	0.039	0.044	0.050	0.041	0.056	0.061	0.042	0.050	0.058	0.040	0.048	0.042	0.038
	E ₂	0.031	0.051	0.046	0.045	0.058	0.046	0.045	0.043	0.040	0.041	0.044	0.040	0.042	0.051	0.041	0.042	0.053	0.043
	E ₃	0.035	0.045	0.042	0.057	0.061	0.058	0.043	0.043	0.044	0.044	0.053	0.051	0.044	0.042	0.043	0.043	0.053	0.050
0.2	E ₁	0.134	0.220	0.183	0.167	0.316	0.256	0.215	0.365	0.287	0.155	0.207	0.151	0.219	0.277	0.209	0.244	0.336	0.266
	E ₂	0.396	0.470	0.459	0.450	0.590	0.570	0.569	0.718	0.699	0.401	0.467	0.452	0.460	0.560	0.545	0.561	0.653	0.638
	E ₃	0.594	0.697	0.692	0.739	0.841	0.836	0.862	0.917	0.915	0.609	0.668	0.661	0.772	0.807	0.804	0.840	0.890	0.881
0.4	E ₁	0.262	0.391	0.351	0.359	0.511	0.434	0.453	0.587	0.503	0.267	0.349	0.282	0.354	0.461	0.387	0.481	0.550	0.478
	E ₂	0.573	0.682	0.668	0.721	0.815	0.803	0.829	0.904	0.886	0.603	0.647	0.630	0.725	0.797	0.779	0.859	0.902	0.892
	E ₃	0.792	0.829	0.827	0.915	0.947	0.946	0.969	0.983	0.932	0.764	0.830	0.820	0.886	0.923	0.917	0.964	0.976	0.974
0.6	E ₁	0.367	0.482	0.427	0.518	0.659	0.607	0.634	0.756	0.673	0.368	0.468	0.401	0.515	0.600	0.517	0.628	0.701	0.642
	E ₂	0.674	0.780	0.765	0.833	0.875	0.862	0.927	0.965	0.960	0.692	0.750	0.718	0.839	0.891	0.877	0.918	0.943	0.929
	E ₃	0.844	0.882	0.879	0.963	0.979	0.978	0.989	0.992	0.992	0.835	0.869	0.862	0.939	0.956	0.953	0.983	0.996	0.996
0.8	E ₁	0.432	0.562	0.518	0.618	0.709	0.652	0.708	0.817	0.743	0.453	0.550	0.474	0.601	0.700	0.632	0.711	0.780	0.713
	E ₂	0.775	0.828	0.813	0.906	0.937	0.929	0.954	0.976	0.968	0.736	0.788	0.759	0.886	0.923	0.903	0.956	0.978	0.971
	E ₃	0.882	0.919	0.918	0.973	0.987	0.987	0.996	0.997	0.997	0.883	0.902	0.896	0.969	0.980	0.975	0.992	0.996	0.996

The notation of E_i is described in Table 2

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ISSN: 1471-2288

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