A robust test based on bootstrapping for the two-sample scale problem

For testing the homogeneity of variances, modifications of well-known tests are known which combine rigorous theory with resampling (bootstrap). We propose versions of these tests, which are computationally simpler (although asymptotically equivalent). The earlier procedures used the smooth bootstra...

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Main Authors: Padmanabhan .A.R, Abdul Rahman Othman, Teh, Sin Yin
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2011
Online Access:http://journalarticle.ukm.my/2494/
http://journalarticle.ukm.my/2494/1/17_Padmanabhan_R..pdf
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author Padmanabhan .A.R,
Abdul Rahman Othman,
Teh, Sin Yin
author_facet Padmanabhan .A.R,
Abdul Rahman Othman,
Teh, Sin Yin
author_sort Padmanabhan .A.R,
building UKM Institutional Repository
collection Online Access
description For testing the homogeneity of variances, modifications of well-known tests are known which combine rigorous theory with resampling (bootstrap). We propose versions of these tests, which are computationally simpler (although asymptotically equivalent). The earlier procedures used the smooth bootstrap with two thousand bootstrap replications per sample whereas our proposals use only the classical bootstrap (or percentile method) with just one thousand bootstrap replications per sample, and also required much less computing time. Our proposals cover the Ansari-Bradley-, Mood- and Klotz-tests. We explain their superiority over the existing methodologies available in textbooks and packages
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spelling oai:generic.eprints.org:24942016-12-14T06:31:47Z http://journalarticle.ukm.my/2494/ A robust test based on bootstrapping for the two-sample scale problem Padmanabhan .A.R, Abdul Rahman Othman, Teh, Sin Yin For testing the homogeneity of variances, modifications of well-known tests are known which combine rigorous theory with resampling (bootstrap). We propose versions of these tests, which are computationally simpler (although asymptotically equivalent). The earlier procedures used the smooth bootstrap with two thousand bootstrap replications per sample whereas our proposals use only the classical bootstrap (or percentile method) with just one thousand bootstrap replications per sample, and also required much less computing time. Our proposals cover the Ansari-Bradley-, Mood- and Klotz-tests. We explain their superiority over the existing methodologies available in textbooks and packages Universiti Kebangsaan Malaysia 2011-05 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/2494/1/17_Padmanabhan_R..pdf Padmanabhan .A.R, and Abdul Rahman Othman, and Teh, Sin Yin (2011) A robust test based on bootstrapping for the two-sample scale problem. Sains Malaysiana, 40 (5). pp. 521-525. ISSN 0126-6039 http://www.ukm.my/jsm/
spellingShingle Padmanabhan .A.R,
Abdul Rahman Othman,
Teh, Sin Yin
A robust test based on bootstrapping for the two-sample scale problem
title A robust test based on bootstrapping for the two-sample scale problem
title_full A robust test based on bootstrapping for the two-sample scale problem
title_fullStr A robust test based on bootstrapping for the two-sample scale problem
title_full_unstemmed A robust test based on bootstrapping for the two-sample scale problem
title_short A robust test based on bootstrapping for the two-sample scale problem
title_sort robust test based on bootstrapping for the two-sample scale problem
url http://journalarticle.ukm.my/2494/
http://journalarticle.ukm.my/2494/
http://journalarticle.ukm.my/2494/1/17_Padmanabhan_R..pdf