The 1st Cabana-Cabana test T_{S,l} 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
Cabana, A. and Cabana, E. (1994), Goodness-of-Fit and Comparison Tests of the Kolmogorov-Smirnov Type for Bivariate Populations, The Annals of Statistics, 22(3), 1447--1459.
See Normality.tests for other goodness-of-fit tests for normality.