poolr-package.RdThe poolr package contains functions for pooling/combining the results (i.e., \(p\)-values) from (dependent) hypothesis tests. Included are Fisher's method, Stouffer's method, the inverse chi-square method, the Bonferroni method, Tippett's method, and the binomial test. Each method can be adjusted based on an estimate of the effective number of tests or using empirically-derived null distribution using pseudo replicates. For Fisher's, Stouffer's, and the inverse chi-square method, direct generalizations based on multivariate theory are also available (leading to Brown's method, Strube's method, and the generalized inverse chi-square method). For more details, see:
fisher: for Fisher's method (and Brown's method)
stouffer: for Stouffer's method (and Strube's method)
invchisq: for the inverse chi-square method
bonferroni: for the Bonferroni method
tippett: for Tippett's method
binomtest: for the binomial test
Note that you can also read the documentation of the package online at https://ozancinar.github.io/poolr/ (where it is nicely formatted and the output from all examples is provided).
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Cinar, O. & Viechtbauer, W. (2022). The poolr package for combining independent and dependent p values. Journal of Statistical Software, 101(1), 1–42. https://doi.org/10.18637/jss.v101.i01
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Lancaster, H. O. (1961). The combination of probabilities: An application of orthonormal functions. Australian Journal of Statistics, 3(1), 20–33. https://doi.org/10.1111/j.1467-842X.1961.tb00058.x
Strube, M. J. (1985). Combining and comparing significance levels from nonindependent hypothesis tests. Psychological Bulletin, 97(2), 334–341. https://doi.org/10.1037/0033-2909.97.2.334
Tippett, L. H. C. (1931). Methods of Statistics. London: Williams Norgate.
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