- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Volume:56 Issue:2
- ROBUST ESTIMATION AND HYPOTHESIS TESTING IN 2k FACTORIAL DESIGN
ROBUST ESTIMATION AND HYPOTHESIS TESTING IN 2k FACTORIAL DESIGN
Authors : Birdal ŞENOĞLU
Pages : 39-50
Doi:10.1501/Commua1_0000000188
View : 10 | Download : 6
Publication Date : 2007-08-01
Article Type : Research Paper
Abstract :The topic of this work is an extension of our previous work onrobust 2kfactorial design with Weibull error distributions. In this paper, weobtain robust and e¢ cient estimators of the parameters in the 2kfactorial design by using the methodology known as modi…ed maximum likelihood insert ignore into journalissuearticles values(MML);and propose new test statistics based on MML estimators for testing the maineğects and the interactions when the distribution of error terms is generalized logistic. We show that the proposed test statistics are more powerfuland robust than the traditional test statistics based on the least squares insert ignore into journalissuearticles values(LS);estimatorsKeywords : Factorial design, Modi…ed maximum likelihood, Robustness, Generalized logistic, Simulation