Estimation and hypothesis testing in BIB design and robustness

Authors:
Moti L. Tiku;Birdal Şenoğlu
Affiliations:
Department of Statistics, Middle East Technical University, Ankara, Turkey;Department of Statistics, Ankara University, Ankara, Turkey
Venue:
Computational Statistics & Data Analysis
Year:
2009

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Abstract

Modified maximum likelihood estimators of the unknown parameters in a BIB design under non-normality of error distributions are obtained. They are shown to be more efficient and robust than the traditional least squares estimators. A test statistic for testing a linear contrast among treatment effects is developed. A real life example is given.