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Of rowing boats, ocean liners and tests of the ANOVA homogeneity of variance assumption

McGuinness, Keith A. (2002). Of rowing boats, ocean liners and tests of the ANOVA homogeneity of variance assumption. Austral Ecology,27(6):681-688.

Document type: Journal Article
Citation counts: Scopus Citation Count Cited 29 times in Scopus Article | Citations

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Title Of rowing boats, ocean liners and tests of the ANOVA homogeneity of variance assumption
Author McGuinness, Keith A.
Journal Name Austral Ecology
Publication Date 2002
Volume Number 27
Issue Number 6
ISSN 1442-9985   (check CDU catalogue open catalogue search in new window)
Scopus ID 2-s2.0-12944255340
Start Page 681
End Page 688
Total Pages 8
Place of Publication Victoria, Australia
Publisher Blackwell Publishing
Field of Research 0104 - Statistics
0602 - Ecology
HERDC Category C1 - Journal Article (DEST)
Abstract One of the assumptions of analysis of variance (ANOVA) is that the variances of the groups being compared are approximately equal. This assumption is routinely checked before doing an analysis, although some workers consider ANOVA robust and do not bother and others avoid parametric procedures entirely. Two of the more commonly used heterogeneity tests are Bartlett's and Cochran's, although, as for most of these tests, they may well be more sensitive to violations of the ANOVA assumptions than is ANOVA itself. Simulations were used to examine how well these two tests protected ANOVA against the problems created by variance heterogeneity. Although Cochran's test performed a little better than Bartlett's, both tests performed poorly, frequently disallowing perfectly valid analyses. Recommendations are made about how to proceed, given these results.
Keywords anova
assumption
homogeneity
bartlett's
cochran's
variance
DOI http://dx.doi.org/10.1046/j.1442-9993.2002.01233.x   (check subscription with CDU E-Gateway service for CDU Staff and Students  check subscription with CDU E-Gateway in new window)
 
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