The Lilliefors 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 Studies for Goodness-of-fit Tests in R. Journal of Statistical Software, 69(3), 1--42. doi:10.18637/jss.v069.i03
Lilliefors, H. (1967), On the Kolmogorov-Smirnov test for normality with mean and variance unknown, _Journal of the American Statistical Association_, *62*, 399-402.
See package nortest. See Normality.tests for other goodness-of-fit tests for normality.