Analysis of variance in experimental design with nonnormal error distributions


Senoglu B., Tiku M.

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

  • 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
  • Keywords: experimental design, nonnormality, block effects, interaction, skewness, generalized logistic, weibull, robustness, STATISTICS
  • Middle East Technical 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.