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Table 2 The simulated powers of the proposed method and the Tsai-Chen’s method at level α =0.05 for multivariate normally distributed data

From: Analysis of high dimensional data using pre-defined set and subset information, with applications to genomic data

Variance Sample Number δ Proposed Tsai-Chen’s
structure size of sets   method method
Homo. n=10 5 0.5 0.117 0.056
   5 1 0.809 0.298
   5 1.5 0.991 0.338
Homo. n=40 5 0.5 0.933 0.660
   5 1 1.000 0.999
   5 1.5 1.000 1.000
Homo. n=10 10 0.5 0.068 0.040
   10 1 0.703 0.268
   10 1.5 0.977 0.296
Homo. n=40 10 0.5 0.890 0.615
   10 1 1.000 0.996
   10 1.5 1.000 1.000
Hetero. n=10 5 0.5 0.147 0.037
   5 1 0.842 0.188
   5 1.5 0.997 0.222
Hetero. n=40 5 0.5 0.959 0.702
   5 1 1.000 1.000
   5 1.5 1.000 1.000
Hetero. n=10 10 0.5 0.090 0.029
   10 1 0.743 0.164
   10 1.5 0.988 0.181
Hetero. n=40 10 0.5 0.920 0.643
   10 1 1.000 0.999
   10 1.5 1.000 1.000