The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
On the Kolmogorov-Smirnov Test for Normality with Mean and Variance Unknown
Abstract
The standard tables used for the Kolmogorov-Smirnov test are valid when testing whether a set of observations are from a completely-specified continuous distribution. If one or more parameters must be estimated from the sample then the tables are no longer valid. A table is given in this note for use with the Kolmogorov-Smirnov statistic for testing whether a set of observations is from a normal population when the mean and variance are not specified but must be estimated from the sample. The table is obtained from a Monte Carlo calculation. A brief Monte Carlo investigation is made of the power of the test.
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“To determine if the differences between our proposed approach (EA-CSP-LDA) and each other approach was statistically significant, we performed paired-sample t -test on the accuracies in Table I using MATLAB function ttest .”
From Transfer Learning for Brain–Computer Interfaces: A Euclidean Space Data Alignment Approach (2020) · cites this paper as [18]
Citations
Cites
The Kolmogorov-Smirnov Test for Goodness of Fit
Massey, F. J. (1951) · Journal of the American Statistical Association · doi:10.1080/01621459.1951.10500769 · Cited by 7,210
The Kolmogorov-Smirnov Test for Goodness of Fit
Massey, F. J. (1951) · Journal of the American Statistical Association · doi:10.2307/2280095 · Cited by 3,690
The Use of Maximum Likelihood Estimates in $\chi^2$ Tests for Goodness of Fit
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Numerical Tabulation of the Distribution of Kolmogorov's Statistic for Finite Sample Size
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On Tests of Normality and Other Tests of Goodness of Fit Based on Distance Methods
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THE PROBABILITY INTEGRAL TRANSFORMATION WHEN PARAMETERS ARE ESTIMATED FROM THE SAMPLE
David, F. N., & Johnson, N. L. (1948) · Biometrika · doi:10.1093/biomet/35.1-2.182 · Cited by 123
Research works printed but not linked: 1
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Metadata
- Authors
- Lilliefors, H. W.
- Affiliations
- George Washington University (US)
- Corresponding author
- Lilliefors, Hubert W.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1967-06
- Volume
- 62
- Issue
- 318
- Pages
- 399-402
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W1990701202
- Cited by
- 4,530
- References
- 6
- Citations by year
- 2026: 153 · 2025: 193 · 2024: 198 · 2023: 203 · 2022: 237 · 2021: 246 · 2020: 252 · 2019: 204 · 2018: 204 · 2017: 202 · 2016: 187 · 2015: 232 · 2014: 201 · 2013: 196 · 2012: 178
- FWCI
- 7.95
- 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
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Advanced Statistical Process Monitoring
- Keywords
- Kolmogorov-Smirnov test, normality testing, unknown mean and variance, parameter estimation, critical value tables, Monte Carlo simulation, statistical power, goodness-of-fit tests
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