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A Nonparametric Two-Sample Wald Test of Equality of Variances
Joint Authors
Allingham, David
Rayner, J. C. W.
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-05
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Economics & Business Administration
Business Administration
Abstract EN
We develop a test for equality of variances given two independent random samples of observations.
The test can be expected to perform well when both sample sizes are at least moderate and the sample variances are asymptotically equivalent to the maximum likelihood estimators of the population variances.
The test is motivated by and is here assessed for the case when both populations sampled are assumed to be normal.
Popular choices of test would be the two-sample F test if normality can be assumed and Levene’s test if this assumption is dubious.
Another competitor is the Wald test for the difference in the population variances.
We give a nonparametric analogue of this test and call it the R test.
In an indicative empirical study when both populations are normal, we find that when both sample sizes are at least 25 the R test is nearly as robust as Levene’s test and nearly as powerful as the F test.
American Psychological Association (APA)
Allingham, David& Rayner, J. C. W.. 2012. A Nonparametric Two-Sample Wald Test of Equality of Variances. Advances in Decision Sciences،Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-495593
Modern Language Association (MLA)
Allingham, David& Rayner, J. C. W.. A Nonparametric Two-Sample Wald Test of Equality of Variances. Advances in Decision Sciences No. 2011 (2011), pp.1-8.
https://search.emarefa.net/detail/BIM-495593
American Medical Association (AMA)
Allingham, David& Rayner, J. C. W.. A Nonparametric Two-Sample Wald Test of Equality of Variances. Advances in Decision Sciences. 2012. Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-495593
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495593