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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 conditionsUnbalanced π conditions
n1 = n2γ0π1 = π2BiasMSEn1 = n2γ0π1π2BiasMSE
200.10.50.0260.025200.10.50.350.0190.027
0.30.0230.0230.30.0180.024
0.50.0170.0180.50.0130.019
0.70.0090.0120.70.0070.012
0.9−0.0110.0030.9−0.0110.003
0.10.350.0090.0290.10.650.350.0100.028
0.30.0070.0250.30.0110.025
0.50.0070.0190.50.0080.019
0.70.0040.0120.70.0040.012
0.9−0.0110.0030.9−0.0110.003
0.70.2−0.0070.0120.70.50.20.0010.012
0.9−0.0100.0030.9−0.0100.003
800.10.50.0070.006800.10.50.350.0060.007
0.30.0060.0060.30.0050.006
0.50.0050.0050.50.0040.005
0.70.0030.0030.70.0030.003
0.90.0020.0010.90.0010.001
0.10.350.0040.0070.10.650.350.0030.008
0.30.0020.0060.30.0010.006
0.50.0010.0050.50.0020.005
0.70.0010.0030.70.0010.003
0.90.0000.0010.90.0000.001
0.70.2−0.0010.0030.70.50.20.0010.003
0.9−0.0010.0010.90.0010.001