The Morales test D_{n,m}(phi_lambda) for uniformity 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.
If \(\lambda\) and m are not specified they assume the default values of 0 and 2, respectively.
There are 3 choices for value of \(\lambda\) : \(\lambda\) = 0, \(\lambda\) = -1, and \(\lambda\) != 0, != -1.
Note that n is the sample size.
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
Morales, D., Pardo, L., Pardo, M. C. and Vajda, I. (2003), Limit laws for disparities of spacings, Journal of Nonparametric Statistics, 15(3), 325--342.
M. A. Marhuenda, Y. Marhuenda, D. Morales, (2005), Uniformity tests under quantile categorization, Kybernetes, 34(6), 888--901.
See Uniformity.tests for other goodness-of-fit tests for uniformity.