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. 2011 Apr 26;11:58. doi: 10.1186/1471-2288-11-58

Table 5.

Type I error rate (when Inline graphic) and the statistical power (when Inline graphic) of homogeneity tests under among-centers inequality.

Inline graphic Inline graphic


K = 4 K = 6 K = 8 K = 4 K = 6 K = 8






Inline graphic nk LR BD DL LR BD DL LR BD DL LR BD DL LR BD DL LR BD DL
0 A1 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
A2 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
A3 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 A1 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
A2 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
A3 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 A1 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
A2 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
A3 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 A1 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
A2 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
A3 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 A1 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
A2 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
A3 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 Ai is described in Table 2