The \(X_{APD}\) test for normality is used
- to compute its statistic and p-value by calling function statcompute;
- to compute its quantiles by calling function compquant or many.crit;
- to compute its power by calling function powcomp.fast or powcomp.easy.
Pierre Lafaye de Micheaux, Viet Anh Tran (2016). PoweR: A Reproducible Research Tool to Ease Monte Carlo Power Simulation Studies for Goodness-of-fit Tests in R. Journal of Statistical Software, 69(3), 1--42. doi:10.18637/jss.v069.i03
Desgagne, A. and Lafaye de Micheaux, P. (2017), A Powerful and Interpretable Alternative to the Jarque-Bera Test of Normality Based on 2nd-Power Skewness and Kurtosis, using the Rao's score test on the APD family, Journal of Applied Statistics, .
See Normality.tests for other goodness-of-fit tests for normality.