An ANOVA test for the equivalency of means under unequal variances

Shun Yi Chen; Hubert J. Chen; Cherng G. Ding

doi:10.1016/S0167-9473(99)00053-5

An ANOVA test for the equivalency of means under unequal variances

Shun Yi Chen^*, Hubert J. Chen, Cherng G. Ding

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摘要

In this paper, we present a two-stage test procedure for testing the hypothesis that the normal means are falling into a practically indifferent zone. Both the level and the power associated with the proposed test are controllable and are completely independent of the unknown variances. Relation to a single-stage procedure is discussed when the two-stage sampling procedure cannot be completely carried through. An example and tables needed for implementation are given.

原文	English
頁（從 - 到）	151-175
頁數	25
期刊	Computational Statistics and Data Analysis
卷	33
發行號	2
DOIs	https://doi.org/10.1016/S0167-9473(99)00053-5
出版狀態	Published - 28 4月 2000

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10.1016/S0167-9473(99)00053-5

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AU - Ding, Cherng G.

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N2 - In this paper, we present a two-stage test procedure for testing the hypothesis that the normal means are falling into a practically indifferent zone. Both the level and the power associated with the proposed test are controllable and are completely independent of the unknown variances. Relation to a single-stage procedure is discussed when the two-stage sampling procedure cannot be completely carried through. An example and tables needed for implementation are given.

AB - In this paper, we present a two-stage test procedure for testing the hypothesis that the normal means are falling into a practically indifferent zone. Both the level and the power associated with the proposed test are controllable and are completely independent of the unknown variances. Relation to a single-stage procedure is discussed when the two-stage sampling procedure cannot be completely carried through. An example and tables needed for implementation are given.

KW - Analysis of variance

KW - Power

KW - Single stage

KW - Two stage

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ER -

An ANOVA test for the equivalency of means under unequal variances

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