BMC Medical Research Methodology

Table 3 Empirical power of homogeneity tests based on 10,000 simulations (K = 2 balanced sample size)

From: Homogeneity score test of AC₁ statistics and estimation of common AC₁ in multiple or stratified inter-rater agreement studies

Balanced π conditions						Unbalanced π conditions
n₁ = n₂	γ₁	γ₂	π₁ = π₂	SCORE	GOF	n₁ = n₂	γ₁	γ₂	π₁	π₂	SCORE	GOF
20	0.1	0.5	0.5	0.243	0.290	20	0.1	0.5	0.5	0.35	0.234	0.304
	0.3	0.6		0.173	0.202		0.3	0.6			0.168	0.224
	0.3	0.7		0.294	0.323		0.3	0.7			0.293	0.351
	0.5	0.8		0.212	0.232		0.5	0.8			0.216	0.258
	0.5	0.9		0.372	0.396		0.5	0.9			0.389	0.430
	0.1	0.5	0.35	0.245	0.357		0.1	0.5	0.65	0.35	0.243	0.355
	0.3	0.6		0.185	0.279		0.3	0.6			0.171	0.266
	0.3	0.7		0.313	0.408		0.3	0.7			0.296	0.398
	0.5	0.8		0.227	0.295		0.5	0.8			0.221	0.291
	0.5	0.9		0.396	0.483		0.5	0.9			0.394	0.475
	0.5	0.8	0.2	0.270	0.411		0.5	0.8	0.5	0.2	0.230	0.278
	0.5	0.9	0.2	0.482	0.616		0.5	0.9	0.5	0.2	0.435	0.473
50	0.1	0.5	0.5	0.538	0.562	50	0.1	0.5	0.5	0.35	0.525	0.595
	0.3	0.6		0.377	0.396		0.3	0.6			0.369	0.428
	0.3	0.7		0.635	0.651		0.3	0.7			0.630	0.673
	0.5	0.8		0.512	0.525		0.5	0.8			0.517	0.548
	0.5	0.9		0.835	0.841		0.5	0.9			0.843	0.855
	0.1	0.5	0.35	0.509	0.652		0.1	0.5	0.65	0.35	0.503	0.648
	0.3	0.6		0.379	0.485		0.3	0.6			0.364	0.470
	0.3	0.7		0.633	0.718		0.3	0.7			0.618	0.711
	0.5	0.8		0.518	0.585		0.5	0.8			0.516	0.581
	0.5	0.9		0.844	0.877		0.5	0.9			0.838	0.874
	0.5	0.8	0.2	0.552	0.711		0.5	0.8	0.5	0.2	0.531	0.598
	0.5	0.9	0.2	0.878	0.915		0.5	0.9	0.5	0.2	0.861	0.863
80	0.1	0.5	0.5	0.757	0.768	80	0.1	0.5	0.5	0.35	0.732	0.786
	0.3	0.6		0.568	0.578		0.3	0.6			0.545	0.596
	0.3	0.7		0.841	0.847		0.3	0.7			0.833	0.858
	0.5	0.8		0.716	0.722		0.5	0.8			0.717	0.741
	0.5	0.9		0.967	0.968		0.5	0.9			0.966	0.970
	0.1	0.5	0.35	0.707	0.819		0.1	0.5	0.65	0.35	0.707	0.816
	0.3	0.6		0.538	0.645		0.3	0.6			0.541	0.644
	0.3	0.7		0.826	0.879		0.3	0.7			0.822	0.884
	0.5	0.8		0.717	0.767		0.5	0.8			0.715	0.764
	0.5	0.9		0.963	0.973		0.5	0.9			0.965	0.974
	0.5	0.8	0.2	0.746	0.872		0.5	0.8	0.5	0.2	0.734	0.787
	0.5	0.9	0.2	0.976	0.982		0.5	0.9	0.5	0.2	0.974	0.970

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