Nonparametric Goodness-of-Fit Tests for Discrete Null Distributions

Methodology extending nonparametric goodness-of-fit tests to discrete null distributions has existed for several decades. However, modern statistical software has generally failed to provide this methodology to users. We offer a revision of R’s ks.test() function and a new cvm.test() function that fill this need in the R language for two of the most popular nonparametric goodness-of-fit tests. This paper describes these contributions and provides examples of their usage. Particular attention is given to various numerical issues that arise in their implementation.

Taylor B. Arnold , John W. Emerson

CRAN packages used

dgof, nortest, ADGofTest, CvM2SL1Test, CvM2SL2Test, cramer

CRAN Task Views implied by cited packages



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For attribution, please cite this work as

Arnold & Emerson, "Nonparametric Goodness-of-Fit Tests for Discrete Null Distributions", The R Journal, 2011

BibTeX citation

  author = {Arnold, Taylor B. and Emerson, John W.},
  title = {Nonparametric Goodness-of-Fit Tests for Discrete Null Distributions},
  journal = {The R Journal},
  year = {2011},
  note = {},
  doi = {10.32614/RJ-2011-016},
  volume = {3},
  issue = {2},
  issn = {2073-4859},
  pages = {34-39}