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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1989 Nov;86(21):8183–8184. doi: 10.1073/pnas.86.21.8183

One-way analysis of variance with unequal variances.

W R Rice 1, S D Gaines 1
PMCID: PMC298243  PMID: 2813387

Abstract

We have designed a statistical test that eliminates the assumption of equal group variances from one-way analysis of variance. This test is preferable to the standard technique of trial-and-error transformation and can be shown to be an extension of the Behrens-Fisher T test to the case of three or more means. We suggest that this procedure be used in most applications where the one-way analysis of variance has traditionally been applied to biological data.

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