Several tests for combining p-values from independent tests have been considered to address a particular common testing problem. A simulation study shows that Fisher’s (1932) Inverse Chi-square test is optimal based on a power comparison of several different tests.
Bhandary, Madhusudan and Zhang, Xuan
"Comparison of Several Tests for Combining Several Independent Tests,"
Journal of Modern Applied Statistical Methods: Vol. 10
, Article 5.
Available at: http://digitalcommons.wayne.edu/jmasm/vol10/iss2/5