The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
The Kolmogorov-Smirnov Test for Goodness of Fit
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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“A Kolmogorov-Smirnov test [42] rejected the normality assumption”
From Mobile Sensing and Support for People With Depression: A Pilot Trial in the Wild (2016) · cites this paper as [42]
Citations
Cites
Metropolis, N., & Ulam, S. (1949) · Journal of the American Statistical Association · doi:10.1080/01621459.1949.10483310 · Cited by 6,474
Table for Estimating the Goodness of Fit of Empirical Distributions
Smirnov, N. (1948) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177730256 · Cited by 1,723
Heuristic Approach to the Kolmogorov-Smirnov Theorems
Doob, J. L. (1949) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177729991 · Cited by 524
Giornale dell'Istituto italiano degli attuari
attuari, I. I. D. (1930) · Medical Entomology and Zoology · Cited by 449
On the Choice of the Number of Class Intervals in the Application of the Chi Square Test
Mann, H. B., & Wald, A. (1942) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177731569 · Cited by 279
On the Kolmogorov-Smirnov Limit Theorems for Empirical Distributions
Feller, W. (1948) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177730243 · Cited by 239
Non-parametric Statistical Inference
Wolfowitz, J. (1949) · Project Euclid (Cornell University) · Cited by 174
Confidence Limits for Continuous Distribution Functions
Wald, A., & Wolfowitz, J. (1939) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177732209 · Cited by 146
Statistical Inference in the Non-Parametric Case
Scheffé, H. (1943) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177731355 · Cited by 97
The Choice of the Number and Width of Classes for the Chi-Square Test of Goodness of Fit
Williams, C. A. (1950) · Journal of the American Statistical Association · doi:10.1080/01621459.1950.10483336 · Cited by 85
Research works printed but not linked: 2
- Smirnov H., 1939, Recueil MathématiqueMatematiceskii Sbornik), 3
- Snedecor George W., 1946, Statistical Methods,
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Metadata
- 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
- 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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