Finite population corrections for the Kolmogorov-Smirnov tests

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Abstract

In this paper, we examine the standard Kolmogorov-Smirnov test for assessing the goodness of fit for an assumed distribution, as well as the associated test of the equality of two distributions, in the case of a sample drawn without replacement from a finite population. In particular, we calculate an appropriate finite population adjustment factor for correcting the usual test statistics and numerically assess its properties. In addition, we provide an example of the use of the adjustment factor in sample size calculations which demonstrates the importance of incorporating the finite population effects in circumstances where the desired accuracy requires a very high sampling fraction.

Original languageEnglish
Pages (from-to)497-504
Number of pages8
JournalJournal of Nonparametric Statistics
Volume24
Issue number2
DOIs
Publication statusPublished - Jun 2012

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