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EDF Statistics for Goodness of Fit and Some Comparisons
Abstract
This article offers a practical guide to goodness-of-fit tests using statistics based on the empirical distribution function (EDF). Five of the leading statistics are examined—those often labelled D, W 2, V, U 2, A 2—and three important situations: where the hypothesized distribution F(x) is completely specified and where F(x) represents the normal or exponential distribution with one or more parameters to be estimated from the data. EDF statistics are easily calculated, and the tests require only one line of significance points for each situation. They are also shown to be competitive in terms of power.
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An analysis of variance test for normality (complete samples)
SHAPIRO, S. S., & WILK, M. B. (1965) · Biometrika · doi:10.1093/biomet/52.3-4.591 · Cited by 23,480
An Analysis of Variance Test for Normality (Complete Samples)
Shapiro, S. S., & Wilk, M. B. (1965) · Biometrika · doi:10.2307/2333709 · Cited by 23,469
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Peduzzi, P., Concato, J., Feinstein, A. R., & Holford, T. R. (1995) · Journal of Clinical Epidemiology · doi:10.1016/0895-4356(95)00048-8 · Cited by 2,154
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Gillin, J. C., Jernajczyk, W., Valladares-Neto, D. D. C., Golshan, S., Lardon, M., & Stahl, S. M. (1994) · Psychopharmacology · doi:10.1007/bf02247474 · Cited by 50
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Finley, B. L., Richter, R. O., Mowat, F. S., Mlynarek, S., Paustenbach, D. J., Warmerdam, J. M., & Sheehan, P. J. (2007) · Journal of Exposure Science & Environmental Epidemiology · doi:10.1038/sj.jes.7500553 · Cited by 36
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Metadata
- Authors
- Stephens, M. A.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1974-09
- Volume
- 69
- Issue
- 347
- Pages
- 730-737
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2069353545
- Cited by
- 3,166
- References
- 2
- FWCI
- 20.45
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
