About this Mathematics article
An Analysis of Variance Test for Normality (Complete Samples) by S. S. SHAPIRO; M. B. WILK is a Mathematics article available to read on EtoBox.
The main intent of this paper is to introduce a new statistical procedure for testing a complete sample for normality. The test statistio is obtained by dividing the square of an appropriate linear combination of the sample order statistics by the usual symmetric estimate of variance. This ratio is both scale and origin invariant and hence the statistic is appropriate for a test of the composite hypothesis of normality. Testing for distributional assumptions in general and for normality in particular has been a major area of continuing statistical research-both theoretically and practically. A possible cause of suoh sustained interest is that many statistical procedures have been derived based on particular distributional assumptions-especially that of normality. Although in many cases the techniques are more robust than the assumptions underlying them, still a knowledge that the underlying assumption is incorrect may temper the use and application of the methods. Moreover, the study of a body of data with the stimulus of a distributional test may encourage consideration of, for example, normalizing transformations and the use of alternate methods such as distribution-free techniqu
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- S. S. SHAPIRO; M. B. WILK
- Published
- 1965
- Language
- EN
- Field
- Mathematics (Physical Sciences)