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 5 Type I error rate (when ) and the statistical power (when ) of homogeneity tests under among-centers 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	A ₁	0.030	0.045	0.041	0.045	0.045	0.037	0.041	0.041	0.036	0.031	0.041	0.036	0.045	0.041	0.038	0.044	0.040	0.036
	A ₂	0.031	0.047	0.043	0.048	0.046	0.039	0.045	0.056	0.043	0.037	0.053	0.042	0.039	0.049	0.040	0.039	0.044	0.040
	A ₃	0.033	0.057	0.054	0.043	0.045	0.041	0.046	0.042	0.045	0.039	0.055	0.044	0.041	0.047	0.042	0.049	0.042	0.041
0.2	A ₁	0.121	0.168	0.120	0.176	0.225	0.161	0.215	0.259	0.168	0.105	0.149	0.108	0.182	0.165	0.090	0.248	0.236	0.131
	A ₂	0.265	0.362	0.334	0.395	0.479	0.440	0.472	0.583	0.534	0.281	0.343	0.309	0.378	0.458	0.407	0.459	0.508	0.451
	A ₃	0.512	0.602	0.595	0.645	0.749	0.739	0.723	0.817	0.805	0.492	0.577	0.560	0.699	0.701	0.676	0.710	0.795	0.767
0.4	A ₁	0.187	0.262	0.194	0.312	0.397	0.306	0.359	0.469	0.352	0.251	0.299	0.244	0.339	0.360	0.248	0.369	0.385	0.254
	A ₂	0.437	0.555	0.518	0.587	0.707	0.658	0.720	0.814	0.765	0.457	0.550	0.501	0.601	0.687	0.617	0.692	0.796	0.721
	A ₃	0.676	0.754	0.744	0.838	0.896	0.885	0.884	0.941	0.934	0.686	0.744	0.728	0.802	0.871	0.853	0.902	0.929	0.924
0.6	A ₁	0.292	0.367	0.289	0.397	0.493	0.390	0.493	0.564	0.457	0.281	0.346	0.272	0.402	0.469	0.353	0.538	0.562	0.421
	A ₂	0.602	0.692	0.651	0.720	0.810	0.762	0.831	0.906	0.874	0.574	0.631	0.575	0.726	0.809	0.745	0.791	0.856	0.797
	A ₃	0.755	0.824	0.811	0.909	0.937	0.929	0.937	0.972	0.969	0.740	0.801	0.784	0.902	0.935	0.917	0.959	0.971	0.960
0.8	A ₁	0.345	0.430	0.355	0.466	0.586	0.473	0.580	0.668	0.551	0.384	0.430	0.356	0.490	0.547	0.459	0.605	0.631	0.492
	A ₂	0.670	0.755	0.710	0.816	0.878	0.829	0.870	0.933	0.889	0.644	0.729	0.664	0.805	0.868	0.806	0.868	0.926	0.869
	A ₃	0.817	0.867	0.856	0.930	0.952	0.940	0.973	0.980	0.979	0.819	0.850	0.836	0.928	0.952	0.942	0.966	0.990	0.981

The notation of A_i is described in Table 2

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ISSN: 1471-2288

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