transf.pft: Freeman-Tukey (double arcsine) transformation for proportions. See Freeman & Tukey (1950). The xi argument is used to specify the proportions and the ni argument the corresponding sample sizes. transf.ipft: inverse of the Freeman-Tukey (double arcsine) transformation for proportions. See Miller (1978). inverse of the Freeman-Tukey (double arcsine) transformation for proportions using the harmonic mean of the sample sizes for the back-transformation. See Miller (1978). The sample sizes are specified via the targs argument (the list element should be called ni). transf.irft: Freeman-Tukey transformation for incidence rates. See Freeman & Tukey (1950). The xi argument is used to specify the incidence rates and the ti argument the corresponding person-times at risk. transf.iahw: Inverse of the transformation of coefficient alpha as suggested by Hakstian & Whalen (1976). The integral transformation method for a transformation function h(z) integrates h(z) f(z) over z using the limits targs$lower and targs$upper, where f(z) is the density of a normal distribution with mean equal to xi and variance equal to targs$tau2. An example is provided below. Wolfgang Viechtbauer package website: author homepage: Bonett, D. G. (2002). Sample size requirements for testing and estimating coefficient alpha. Journal of Educational and Behavioral Statistics, 27, 335–340. Fisher, R. A. (1921). On the “probable error” of a coefficient of correlation deduced from a small sample. Metron, 1, 1–32. Freeman, M. F., & Tukey, J. W. (1950). Transformations related to the angular and the square root. Annals of Mathematical Statistics, 21, 607–611. Hakstian, A. R., & Whalen, T. E. (1976). A k-sample significance test for independent alpha coefficients. Psychometrika, 41, 219–231. Miller, J. J. (1978). The inverse of the Freeman-Tukey double arcsine transformation. American Statistician, 32, 138. Viechtbauer, W. (2010). Conducting meta-analyses in R with the metafor package. Journal of Statistical Software, 36(3), 1–48. This site was developed by Ian Howson. I'm available to help with your software and statistics projects. All documentation is copyright its authors, I didn't write any of that. Email me or if you have questions or problems. Source.

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