Finite population corrections for the Kolmogorov-Smirnov tests

Research output: Contribution to journalArticleResearchpeer-review

5 Citations (Scopus)

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

Fingerprint

Kolmogorov-Smirnov Test
Finite Population
Adjustment
Sample Size Calculation
Goodness of fit
Test Statistic
Replacement
Equality
Calculate
Demonstrate
Kolmogorov-Smirnov test
Factors

Cite this

@article{9dda5bd859514407ae20201f9154327f,
title = "Finite population corrections for the Kolmogorov-Smirnov tests",
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.",
author = "O'Neill, {Terence J.} and Stern, {Steven E.}",
year = "2012",
month = "6",
doi = "10.1080/10485252.2011.650169",
language = "English",
volume = "24",
pages = "497--504",
journal = "Journal of Nonparametric Statistics",
issn = "1026-7654",
publisher = "Taylor & Francis",
number = "2",

}

Finite population corrections for the Kolmogorov-Smirnov tests. / O'Neill, Terence J.; Stern, Steven E.

In: Journal of Nonparametric Statistics, Vol. 24, No. 2, 06.2012, p. 497-504.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Finite population corrections for the Kolmogorov-Smirnov tests

AU - O'Neill, Terence J.

AU - Stern, Steven E.

PY - 2012/6

Y1 - 2012/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84860812295&partnerID=8YFLogxK

U2 - 10.1080/10485252.2011.650169

DO - 10.1080/10485252.2011.650169

M3 - Article

VL - 24

SP - 497

EP - 504

JO - Journal of Nonparametric Statistics

JF - Journal of Nonparametric Statistics

SN - 1026-7654

IS - 2

ER -