Analysis of variance in experimental design with nonnormal error distributions

Date

2001-01-01

Author

Senoglu, B
Tiku, ML

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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.

Subject Keywords

Experimental design, Nonnormality, Block effects, Interaction, Skewness, Generalized logistic, Weibull, Robustness

URI

https://hdl.handle.net/11511/65032

Journal

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

DOI

https://doi.org/10.1081/sta-100104748

Collections

Department of Statistics, Article

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Citation Formats

B. Senoglu and M. Tiku, “Analysis of variance in experimental design with nonnormal error distributions,” COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, pp. 1335–1352, 2001, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/65032.