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 4 Type I error rate (when ) and the statistical power (when ) of homogeneity tests under within-center inequality.

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	W ₁	0.039	0.057	0.037	0.047	0.064	0.041	0.059	0.064	0.041	0.041	0.045	0.039	0.039	0.042	0.039	0.042	0.043	0.034
	W ₂	0.035	0.041	0.041	0.045	0.041	0.045	0.043	0.053	0.044	0.035	0.060	0.048	0.041	0.044	0.040	0.039	0.043	0.045
	W ₃	0.037	0.044	0.044	0.046	0.055	0.050	0.041	0.057	0.052	0.032	0.043	0.040	0.041	0.058	0.053	0.041	0.055	0.049
0.2	W ₁	0.091	0.185	0.129	0.177	0.275	0.198	0.154	0.292	0.209	0.127	0.175	0.118	0.133	0.200	0.117	0.173	0.254	0.159
	W ₂	0.271	0.395	0.394	0.412	0.531	0.501	0.474	0.626	0.596	0.282	0.392	0.360	0.381	0.499	0.455	0.477	0.585	0.533
	W ₃	0.501	0.629	0.621	0.695	0.757	0.755	0.758	0.840	0.835	0.517	0.572	0.559	0.678	0.742	0.728	0.759	0.838	0.828
0.4	W ₁	0.191	0.305	0.221	0.279	0.417	0.323	0.341	0.518	0.371	0.236	0.294	0.219	0.269	0.364	0.250	0.372	0.481	0.436
	W ₂	0.466	0.593	0.580	0.655	0.768	0.746	0.742	0.856	0.832	0.452	0.558	0.530	0.643	0.723	0.676	0.774	0.844	0.811
	W ₃	0.723	0.807	0.802	0.880	0.918	0.914	0.939	0.969	0.965	0.716	0.784	0.775	0.887	0.910	0.906	0.949	0.966	0.965
0.6	W ₁	0.294	0.430	0.352	0.399	0.574	0.469	0.494	0.652	0.537	0.286	0.399	0.318	0.387	0.497	0.391	0.484	0.599	0.468
	W ₂	0.615	0.703	0.682	0.780	0.853	0.828	0.862	0.918	0.906	0.599	0.686	0.648	0.771	0.830	0.799	0.895	0.919	0.894
	W ₃	0.817	0.858	0.855	0.949	0.957	0.957	0.976	0.987	0.985	0.795	0.845	0.832	0.926	0.951	0.941	0.968	0.981	0.977
0.8	W ₁	0.356	0.471	0.398	0.530	0.647	0.540	0.641	0.767	0.663	0.363	0.459	0.362	0.516	0.608	0.514	0.631	0.715	0.594
	W ₂	0.687	0.769	0.742	0.837	0.888	0.868	0.915	0.969	0.966	0.694	0.751	0.701	0.835	0.887	0.843	0.922	0.944	0.915
	W ₃	0.857	0.891	0.889	0.957	0.970	0.968	0.990	0.995	0.993	0.845	0.874	0.861	0.955	0.966	0.963	0.982	0.984	0.983

The notation of W_i is described in Table 2

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