The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
An Approximate Analysis of Variance Test for Normality
Abstract
This article presents a modification of the Shapiro-Wilk W statistic for testing normality which can be used with large samples. Shapiro and Wilk gave coefficients and percentage points for sample sizes up to 50. These coefficients required obtaining an approximation to the covariance matrix of the normal order statistics. The proposed test uses coefficients which depend only on the expected values of the normal order statistics which are generally available. Results of an empirical sampling study to compare the sensitivity of the test statistic to the W test statistic are briefly discussed.
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Citations
Cites
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
Self-citationAn Analysis of Variance Test for Normality (Complete Samples)
Shapiro, S. S., & Wilk, M. B. (1965) · Biometrika · doi:10.2307/2333709 · Cited by 23,469
Self-citation
Cited by
A Test for Normality of Observations and Regression Residuals
Jarque, C. M., & Bera, A. K. (1987) · International Statistical Review / Revue Internationale de Statistique · doi:10.2307/1403192 · Cited by 3,179
Comparisons of various types of normality tests
Yap, B. W., & Sim, C. H. (2011) · Journal of Statistical Computation and Simulation · doi:10.1080/00949655.2010.520163 · Cited by 897
Responses of Trace Gas Fluxes and N Availability to Experimentally Elevated Soil Temperatures
Peterjohn, W. T., Melillo, J. M., Steudler, P. A., Newkirk, K. M., Bowles, F. P., & Aber, J. D. (1994) · Ecological Applications · doi:10.2307/1941962 · Cited by 377
Thompson, F. E., Kipnis, V., Midthune, D., Freedman, L. S., Carroll, R. J., Subar, A. F., Brown, C. C., Butcher, M. S., Mouw, T., Leitzmann, M., et al. (2008) · Public Health Nutrition · doi:10.1017/s1368980007000419 · Cited by 209
Reichert, A., & Jacobs, R. (2018) · Health Economics · doi:10.1002/hec.3800 · Cited by 189
“Both the Shapiro-Wilk test (Shapiro et al. , 1965) and the Shapiro-Francia test (Shapiro et al. , 1972) strongly rejected the null hypothesis of ℎ being normally distributed.”
Metadata
- Authors
- Shapiro, S. S., & Francia, R. S.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1972-03
- Volume
- 67
- Issue
- 337
- Pages
- 215-216
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2043845271
- Cited by
- 1,166
- References
- 2
- FWCI
- 7.79
- Type
- journal article
- Language
- en
- Open access
- closed
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