BMC Medical Research Methodology

Table 4 Bias and mean square error of the maximum likelihood estimator for the common AC₁ 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	γ₀	π₁ = π₂	Bias	MSE	n₁ = n₂	γ₀	π₁	π₂	Bias	MSE
20	0.1	0.5	0.026	0.025	20	0.1	0.5	0.35	0.019	0.027
	0.3		0.023	0.023		0.3			0.018	0.024
	0.5		0.017	0.018		0.5			0.013	0.019
	0.7		0.009	0.012		0.7			0.007	0.012
	0.9		−0.011	0.003		0.9			−0.011	0.003
	0.1	0.35	0.009	0.029		0.1	0.65	0.35	0.010	0.028
	0.3		0.007	0.025		0.3			0.011	0.025
	0.5		0.007	0.019		0.5			0.008	0.019
	0.7		0.004	0.012		0.7			0.004	0.012
	0.9		−0.011	0.003		0.9			−0.011	0.003
	0.7	0.2	−0.007	0.012		0.7	0.5	0.2	0.001	0.012
	0.9	0.2	−0.010	0.003		0.9	0.5	0.2	−0.010	0.003
80	0.1	0.5	0.007	0.006	80	0.1	0.5	0.35	0.006	0.007
	0.3		0.006	0.006		0.3			0.005	0.006
	0.5		0.005	0.005		0.5			0.004	0.005
	0.7		0.003	0.003		0.7			0.003	0.003
	0.9		0.002	0.001		0.9			0.001	0.001
	0.1	0.35	0.004	0.007		0.1	0.65	0.35	0.003	0.008
	0.3		0.002	0.006		0.3			0.001	0.006
	0.5		0.001	0.005		0.5			0.002	0.005
	0.7		0.001	0.003		0.7			0.001	0.003
	0.9		0.000	0.001		0.9			0.000	0.001
	0.7	0.2	−0.001	0.003		0.7	0.5	0.2	0.001	0.003
	0.9	0.2	−0.001	0.001		0.9	0.5	0.2	0.001	0.001

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