poolr-package {poolr}R Documentation

Methods for Pooling P-Values from (Dependent) Tests

Description

The 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:

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).

Author(s)

Ozan Cinar ozancinar86@gmail.com
Wolfgang Viechtbauer wvb@wvbauer.com

References

Brown, M. B. (1975). 400: A method for combining non-independent, one-sided tests of significance. Biometrics, 31(4), 987–992. ⁠https://doi.org/10.2307/2529826⁠

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

Fisher, R. A. (1932). Statistical Methods for Research Workers (4th ed.). Edinburgh: Oliver and Boyd.

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.

Wilkinson, B. (1951). A statistical consideration in psychological research. Psychological Bulletin, 48(2), 156–158. ⁠https://doi.org/10.1037/h0059111⁠


[Package poolr version 1.2-0 Index]