{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T14:32:31Z","timestamp":1743517951860,"version":"3.40.3"},"reference-count":6,"publisher":"Scientific and Business World","license":[{"start":{"date-parts":[[2011,1,5]],"date-time":"2011-01-05T00:00:00Z","timestamp":1294185600000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Decision Sciences"],"published-print":{"date-parts":[[2011,1,5]]},"abstract":"<jats:p>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  test if normality can be assumed and Levene\u2019s 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  test. In an indicative empirical study when both populations are normal, we find that when both sample sizes are at least 25 the  test is nearly as robust as Levene\u2019s test and nearly as powerful as the  test. \n<\/jats:p>","DOI":"10.1155\/2011\/748580","type":"journal-article","created":{"date-parts":[[2012,1,6]],"date-time":"2012-01-06T08:32:34Z","timestamp":1325838754000},"page":"1-8","source":"Crossref","is-referenced-by-count":3,"title":["A Nonparametric Two-Sample Wald Test of Equality of Variances"],"prefix":"10.47654","volume":"2011","author":[{"given":"David","family":"Allingham","sequence":"first","affiliation":[{"name":"Centre for Computer-Assisted Research Computation and Its Applications, School of Mathematical and Physical Sciences, University of Newcastle, Newcastle, NSW 2308, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. C. W.","family":"Rayner","sequence":"additional","affiliation":[{"name":"Centre for Statistical and Survey Methodology, School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia"},{"name":"School of Mathematical and Physical Sciences, University of Newcastle, Newcastle, NSW 2308, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"52777","reference":[{"year":"1985","key":"1"},{"year":"2006","key":"2"},{"issue":"4","key":"3","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1080\/00401706.1981.10487680","volume":"23","year":"1981","journal-title":"Technometrics"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.2307\/1270366"},{"issue":"3","key":"5","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1111\/1467-9884.00087","volume":"46","year":"1997","journal-title":"Journal of the Royal Statistical Society Series D"},{"volume":"1","year":"1994","key":"6"}],"container-title":["Advances in Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2011\/748580.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2011\/748580.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2011\/748580.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,28]],"date-time":"2020-09-28T16:09:42Z","timestamp":1601309382000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/archive\/2011\/748580\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1,5]]},"references-count":6,"alternative-id":["748580","748580"],"URL":"https:\/\/doi.org\/10.1155\/2011\/748580","relation":{},"ISSN":["2090-3359","2090-3367"],"issn-type":[{"type":"print","value":"2090-3359"},{"type":"electronic","value":"2090-3367"}],"subject":[],"published":{"date-parts":[[2011,1,5]]}}}