Tables of critical values for a K-sample kolmogorov-smirnov test statistic

Edward H. Wolf, Joseph I. Naus

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Let x1j x2j ···, xnj; j=1, 2, ···, k be k independent random samples drawn, respectively, from the distributions with cdf’s Fj (x). Let F*j(x) denote the empirical distribution function of the jth sample. Conover [3] and Wolf [6] derive the null distribution for the statistic supx;i < k[F*i(x) – F*i+1(x)]. This article presents tables of exact probabilities for this statistic for k = 3(1)10, and n = 5(1)20. An approximation based on Conover’s limiting distribution for the statistic is evaluated, and its range of usefulness explored. Certain alternatives are described for which the test has reasonable power relative to parametric and distribution-free competitors.

Original languageEnglish (US)
Pages (from-to)994-997
Number of pages4
JournalJournal of the American Statistical Association
Volume68
Issue number344
DOIs
StatePublished - Dec 1973

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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