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dc.contributor.authorJan, Show-Lien_US
dc.contributor.authorShieh, Gwowenen_US
dc.date.accessioned2014-12-08T15:35:07Z-
dc.date.available2014-12-08T15:35:07Z-
dc.date.issued2014-02-01en_US
dc.identifier.issn0007-1102en_US
dc.identifier.urihttp://dx.doi.org/10.1111/bmsp.12006en_US
dc.identifier.urihttp://hdl.handle.net/11536/23830-
dc.description.abstractFor one-way fixed effects ANOVA, it is well known that the conventional F test of the equality of means is not robust to unequal variances, and numerous methods have been proposed for dealing with heteroscedasticity. On the basis of extensive empirical evidence of Type I error control and power performance, Welch's procedure is frequently recommended as the major alternative to the ANOVA F test under variance heterogeneity. To enhance its practical usefulness, this paper considers an important aspect of Welch's method in determining the sample size necessary to achieve a given power. Simulation studies are conducted to compare two approximate power functions of Welch's test for their accuracy in sample size calculations over a wide variety of model configurations with heteroscedastic structures. The numerical investigations show that Levy's (1978a) approach is clearly more accurate than the formula of Luh and Guo (2011) for the range of model specifications considered here. Accordingly, computer programs are provided to implement the technique recommended by Levy for power calculation and sample size determination within the context of the one-way heteroscedastic ANOVA model.en_US
dc.language.isoen_USen_US
dc.titleSample size determinations for Welch's test in one-way heteroscedastic ANOVAen_US
dc.typeArticleen_US
dc.identifier.doi10.1111/bmsp.12006en_US
dc.identifier.journalBRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGYen_US
dc.citation.volume67en_US
dc.citation.issue1en_US
dc.citation.spage72en_US
dc.citation.epage93en_US
dc.contributor.department交大名義發表zh_TW
dc.contributor.department管理科學系zh_TW
dc.contributor.departmentNational Chiao Tung Universityen_US
dc.contributor.departmentDepartment of Management Scienceen_US
dc.identifier.wosnumberWOS:000330727700004-
dc.citation.woscount1-
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