Analysis of variance in experimental design with nonnormal error distributions

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Senoglu B., Tiku M.

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, vol.30, no.7, pp.1335-1352, 2001 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 30 Issue: 7
• Publication Date: 2001
• Doi Number: 10.1081/sta-100104748
• Journal Name: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1335-1352
• Eskisehir Osmangazi University Affiliated: No

Abstract

We consider a two-way classification model with interaction and assume that the errors have a location-scale nonnormal distribution. From an application of the modified likelihood estimation, we obtain efficient and robust estimators of the parameters. We define F statistics for testing main effects and interaction. We analyze the Box-Cox data and show that the method developed in this paper gives accurate results besides being easy theoretically and computationally.