Cited by 7,210Statistical Distribution Estimation and ApplicationsProbability and Statistical ResearchStatistical Methods and Applications

The Kolmogorov-Smirnov Test for Goodness of Fit

Massey, Frank J.·1951·Journal of the American Statistical Association

Abstract

The test is based on the maximum difference between an empirical and a hypothetical cumulative distribution. Percentage points are tabled, and a lower bound to the power function is charted. Confidence limits for a cumulative distribution are described. Examples are given. Indications that the test is superior to the chi-square test are cited.

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Crossref · 10.1080/01621459.1951.10500769

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12 of 12 references verified0 citation errors · 0 not checkable

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Authors
Massey, F. J.
Affiliations
University of Oregon (US)
Corresponding author
Massey, Frank J.
Venue
Journal of the American Statistical Association
Published
1951-03
Volume
46
Issue
253
Pages
68-78
ISSN
  • 0162-1459 (ISSN-L)
  • 1537-274X
OpenAlex
W4255375128
Cited by
7,210
References
12
Citations by year
2026: 529 · 2025: 691 · 2024: 580 · 2023: 591 · 2022: 576 · 2021: 562 · 2020: 490 · 2019: 432 · 2018: 369 · 2017: 351 · 2016: 285 · 2015: 273 · 2014: 215 · 2013: 226 · 2012: 181
FWCI
6.34
Type
journal article
Language
en
Open access
closed
Locations
Journal of the American Statistical Association (publishedVersion)
Topics
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
  • Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
Keywords
Kolmogorov-Smirnov test, goodness of fit, empirical distribution function, cumulative distribution function, percentage points, power function, confidence limits

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