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Heteroskedasticity testing through a comparison of Wald statistics

dc.contributor.authorMurteira, José M.R.
dc.contributor.authorRamalho, Esmeralda A.
dc.contributor.authorRamalho, Joaquim J.S.
dc.date.accessioned2018-06-25T09:39:01Z
dc.date.available2018-06-25T09:39:01Z
dc.date.issued2013-08
dc.description.abstractThis paper shows that a test for heteroskedasticity within the context of classical linear regression can be based on the difference between Wald statistics in heteroskedasticity-robust and nonrobust forms. The test is asymptotically distributed under the null hypothesis of homoskedasticity as chi-squared with one degree of freedom. The power of the test is sensitive to the choice of parametric restriction used by the Wald statistics, so the supremum of a range of individual test statistics is proposed. Two versions of a supremum-based test are considered: the first version does not have a known asymptotic null distribution, so the bootstrap is employed to approximate its empirical distribution. The second version has a known asymptotic distribution and, in some cases, is asymptotically pivotal under the null. A simulation study illustrates the use and finite-sample performance of both versions of the test. In this study, the bootstrap is found to provide better size control than asymptotic critical values, namely with heavy-tailed, asymmetric distributions of the covariates. In addition, the use of well-known modifications of the heteroskedasticity consistent covariance matrix estimator of OLS coefficients is also found to benefit the tests’ overall behaviour.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationMurteira, José M.R.; Esmeralda A. Ramalho and Joaquim J.S. Ramalho (2013). "Heteroskedasticity testing through a comparison of Wald statistics". Portuguese Economic Journal, Vol. 12, No. 2: pp. 131-160pt_PT
dc.identifier.doi10.1007/s10258-013-0087-xpt_PT
dc.identifier.issn1617-982X (print)
dc.identifier.issn1617-9838 (online)
dc.identifier.urihttp://hdl.handle.net/10400.5/15703
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringer Verlagpt_PT
dc.subjectHeteroskedasticity testingpt_PT
dc.subjectWhite testpt_PT
dc.subjectWald testpt_PT
dc.subjectSupremumpt_PT
dc.titleHeteroskedasticity testing through a comparison of Wald statisticspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlaceLisboapt_PT
oaire.citation.endPage160pt_PT
oaire.citation.issue2pt_PT
oaire.citation.startPage131pt_PT
oaire.citation.titlePortuguese Economic Journalpt_PT
oaire.citation.volume12pt_PT
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT

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