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. Author manuscript; available in PMC: 2019 Feb 1.
Published in final edited form as: Stat Methods Med Res. 2016 Mar 17;27(2):480–489. doi: 10.1177/0962280216632564

Table 1.

Comparison of theoretical and empirical power with the following design parameters held fixed: c = 2, S = 5 (or I = 10), p = 2, and σ2 = 1.

Δ b J K N=IJK ρ1 ρ2 φ
φ
a
K~U(a, b)
φ
b
0.3 0 10   5   500 0.3 0.1 0.539 0.559 U(2, 8) 0.548
0.2 0.688 0.698 0.652
0.4 0.1 0.457 0.500 0.479
0.2 0.564 0.567 0.543
10 1000 0.3 0.1 0.637 0.655 U(3, 17) 0.643
0.2 0.829 0.839 0.804
0.4 0.1 0.516 0.540 0.557
0.2 0.653 0.647 0.651
2 12   5   600 0.3 0.1 0.700 0.697 U(2, 8) 0.685
0.2 0.841 0.836 0.817
0.4 0.1 0.609 0.641 0.620
0.2 0.726 0.753 0.723
10 1200 0.3 0.1 0.796 0.824 U(3, 17) 0.800
0.2 0.940 0.931 0.920
0.4 0.1 0.676 0.682 0.678
0.2 0.811 0.815 0.802
0.4 0 10   5   500 0.3 0.1 0.783 0.802 U(2, 8) 0.813
0.2 0.904 0.911 0.903
0.4 0.1 0.695 0.730 0.712
0.2 0.807 0.821 0.777
10 1000 0.3 0.1 0.868 0.858 U(3, 17) 0.875
0.2 0.973 0.983 0.972
0.4 0.1 0.760 0.809 0.792
0.2 0.881 0.903 0.902
2 12   5   600 0.3 0.1 0.912 0.913 U(2, 8) 0.910
0.2 0.976 0.974 0.971
0.4 0.1 0.846 0.853 0.842
0.2 0.927 0.930 0.921
10 1200 0.3 0.1 0.961 0.970 U(3, 17) 0.949
0.2 0.997 0.994 0.995
0.4 0.1 0.896 0.909 0.903
0.2 0.966 0.963 0.955
Mean 0.785 0.797 0.785
a

Empirical power under a fixed K.

b

Empirical power under a varying K ~ U(a,b) following a uniform distribution with mean equal to the corresponding fixed K.