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Table 2 Empirical type I error rates of homogeneity tests for γ1 = γ2 = γ0 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 = π2SCOREGOFn1 = n2γ0π1π2SCOREGOF
200.10.50.0450.067200.10.50.350.0490.097
0.30.0460.0670.30.0490.096
0.50.0480.0620.50.0500.083
0.70.0330.0410.70.0370.049
0.90.0020.0030.90.0030.005
0.10.350.0520.1210.10.650.350.0500.120
0.30.0540.1260.30.0510.120
0.50.0520.1030.50.0510.101
0.70.0390.0640.70.0390.065
0.90.0040.0060.90.0040.007
0.70.20.0470.1320.70.50.20.0380.090
0.90.0080.0290.90.0050.013
500.10.50.0500.058500.10.50.350.0480.117
0.30.0470.0540.30.0510.087
0.50.0500.0540.50.0490.072
0.70.0510.0530.70.0500.060
0.90.0260.0270.90.0240.027
0.10.350.0510.1720.10.650.350.0510.168
0.30.0510.1260.30.0490.117
0.50.0520.0920.50.0510.092
0.70.0520.0720.70.0520.071
0.90.0280.0330.90.0280.033
0.70.20.0530.1620.70.50.20.0510.104
0.90.0370.0610.90.0320.042
800.10.50.0470.052800.10.50.350.0510.120
0.30.0470.0510.30.0530.094
0.50.0540.0570.50.0510.072
0.70.0500.0520.70.0510.061
0.90.0370.0390.90.0470.050
0.10.350.0520.1730.10.650.350.0520.172
0.30.0540.1230.30.0540.124
0.50.0530.0890.50.0550.090
0.70.0510.0690.70.0510.069
0.90.0440.0510.90.0450.052
0.70.20.0520.1520.70.50.20.0500.103
0.90.0510.0730.90.0480.059