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

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The Kolmogorov-Smirnov Test for Goodness of Fit

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

DOI 10.1080/01621459.1951.10500769

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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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The Monte Carlo Method
Metropolis, N., & Ulam, S. (1949) · Journal of the American Statistical Association · doi:10.1080/01621459.1949.10483310 · Cited by 6,474
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Feller, W. (1948) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177730243 · Cited by 239
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Williams, C. A. (1950) · Journal of the American Statistical Association · doi:10.1080/01621459.1950.10483336 · Cited by 85

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Research works printed but not linked: 2

Smirnov H., 1939, Recueil MathématiqueMatematiceskii Sbornik), 3
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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
Publisher: Informa UK Limited
Published: 1951-03
Volume: 46
Issue: 253
Pages: 68-78
ISSN: 0162-1459 (ISSN-L)
1537-274X
DOI: 10.1080/01621459.1951.10500769
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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The Kolmogorov-Smirnov Test for Goodness of Fit

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