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Table 1 The simulated FWERs of the proposed method and the Tsai-Chen’s method at level α =0.05

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

Distribution Variance Sample Number Proposed Tsai-Chen’s
  structure size of sets method method
Normal Homo. n=10 5 0.027 0.019
    10 0.032 0.027
Normal Homo. n=40 5 0.047 0.054
    10 0.047 0.061
Normal Hetero. n=10 5 0.036 0.031
    10 0.044 0.021
Normal Hetero. n=40 5 0.038 0.066
    10 0.052 0.087
Log-Normal Homo. n=10 5 0.027 0.018
    10 0.024 0.022
Log-Normal Homo. n=40 5 0.048 0.039
    10 0.050 0.062
Mix. Normal Homo. n=10 5 0.018 0.009
    10 0.020 0.005
Mix. Normal Homo. n=40 5 0.055 0.050
    10 0.050 0.054
Mix. Normal Hetero. n=10 5 0.018 0.003
    10 0.017 0.003
Mix. Normal Hetero. n=40 5 0.058 0.060
    10 0.049 0.057
Multi. Beta Var. func. mean n=10 5 0.033 0.027
    10 0.031 0.031
Multi. Beta Var. func. mean n=40 5 0.043 0.042
    10 0.053 0.042