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. Author manuscript; available in PMC: 2016 Nov 4.
Published in final edited form as: J Stat Theory Appl. 2009;8(3):325–352.

Table 5.

Comparison of empirical and theoretical average power for the Benjamini-Hochberg (1995) procedure. Results are for three independent χ2 hypothesis tests. The sample size for each experiment is N ∈ {100, 250, 500}. The odds ratio under the alternative is δ ∈ {1.2, 2.3 and 5.4}.

δ N Empirical
Average
Power
Theoretical
Average
Power
Absolute
Difference
1.2 100 0.064 0.028 0.036
250 0.076 0.045 0.031
500 0.096 0.077 0.019
2.3 100 0.567 0.436 0.131
250 0.896 0.876 0.020
500 0.996 0.994 0.002
5.4 100 0.992 0.978 0.014
250 1.000 1.000 0.000
500 1.000 1.000 0.000