Choosing between methods of combining $p$-values

Berry, 1941, The accuracy of the Gaussian approximation to the sum of independent variates., Trans. Am. Math. Soc., 49, 122, 10.1090/S0002-9947-1941-0003498-3

Birnbaum, 1954, Combining independent tests of significance., J. Am. Statist. Assoc., 49, 559

Edgington, 1972, An additive method for combining probability values from independent experiments., J. Psychol., 80, 351, 10.1080/00223980.1972.9924813

Fisher, 1934, Statistical Methods for Research Workers, 4th ed

Hedges, 1985, Statistical Methods in Meta-Analysis

Kocak, 2017, Meta-analysis of univariate $p$-values., Commun. Statist. B, 46, 1257, 10.1080/03610918.2014.995818

Loughin, 2004, A systematic comparison of methods for combining $p$-values from independent tests., Comp. Statist. Data Anal., 47, 467, 10.1016/j.csda.2003.11.020

Mudholkar, 1979, The logit method for combining probabilities. In, Symposium on Optimizing Methods in Statistics, 345

Pearson, 1933, On a method of determining whether a sample of size $n$ supposed to have been drawn from a parent population having a known probability integral has probably been drawn at random., Biometrika, 25, 379, 10.1093/biomet/25.3-4.379

Prendergast, 2016, Meta-analysis of ratios of sample variances., Statist. Med., 35, 1780, 10.1002/sim.6838

Stouffer, 1949, The American Soldier. Adjustment During Army Life

Tippett, 1931, The Methods of Statistics