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 If one or more parameters must be estimated from the sample then the tables are no longer valid.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
Chernoff, H., & Lehmann, E. L. (1954) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177728726 · Cited by 559
Numerical Tabulation of the Distribution of Kolmogorov's Statistic for Finite Sample Size
Birnbaum, Z. W. (1952) · Journal of the American Statistical Association · doi:10.2307/2281313 · Cited by 237
On Tests of Normality and Other Tests of Goodness of Fit Based on Distance Methods
Kac, M., Kiefer, J., & Wolfowitz, J. (1955) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177728538 · Cited by 217
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
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A de novo paradigm for mental retardation.
Vissers, L. E. L. M., de Ligt, J., Gilissen, C., Janssen, I., Steehouwer, M., de Vries, P., van Lier, B., Arts, P., Wieskamp, N., del Rosario, M., et al. (2010) · Nature Genetics · doi:10.1038/ng.712 · Cited by 852
Twenty‐five pitfalls in the analysis of diffusion MRI data
Jones, D. K., & Cercignani, M. (2010) · NMR in Biomedicine · doi:10.1002/nbm.1543 · Cited by 827
Important influence of respiration on human R-R interval power spectra is largely ignored
Brown, T. E., Beightol, L. A., Koh, J., & Eckberg, D. L. (1993) · Journal of Applied Physiology · doi:10.1152/jappl.1993.75.5.2310 · Cited by 770
Transfer Learning for Brain–Computer Interfaces: A Euclidean Space Data Alignment Approach
He, H., & Wu, D. (2020) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.2019.2913914 · Cited by 569
Goobie, S. M., Meier, P. M., Pereira, L. M., McGowan, F. X., Prescilla, R. P., Scharp, L. A., Rogers, G. F., Proctor, M. R., Meara, J. G., Soriano, S. G., et al. (2011) · Anesthesiology · doi:10.1097/aln.0b013e318210fd8f · Cited by 313
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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