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

^*Corresponding author for this work

Institute of Business and Management

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	151-175
Number of pages	25
Journal	Computational Statistics and Data Analysis
Volume	33
Issue number	2
DOIs	https://doi.org/10.1016/S0167-9473(99)00053-5
State	Published - 28 Apr 2000

Keywords

Analysis of variance
Power
Single stage
Two stage

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10.1016/S0167-9473(99)00053-5

Cite this

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abstract = "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.",

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AU - Chen, Hubert J.

AU - Ding, Cherng G.

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Y1 - 2000/4/28

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

UR - https://www.scopus.com/pages/publications/0033742009

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DO - 10.1016/S0167-9473(99)00053-5

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ER -

An ANOVA test for the equivalency of means under unequal variances

Abstract

Keywords

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