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


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.