Analysis of variance and linear contrasts in experimental design with generalized secant hyperbolic distribution |
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Authors: | Yildiz E Yilmaz Aysen D Akkaya |
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Institution: | 1. Department of Statistics and Actuarial Science, University of Waterloo, Waterloo, Ont., Canada N2L 3G1;2. Department of Statistics, Middle East Technical University, 06531 Ankara, Turkey |
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Abstract: | We consider one-way classification model in experimental design when the errors have generalized secant hyperbolic distribution. We obtain efficient and robust estimators for block effects by using the modified maximum likelihood estimation (MML) methodology. A test statistic analogous to the normal-theory F statistic is defined to test block effects. We also define a test statistic for testing linear contrasts. It is shown that test statistics based on MML estimators are efficient and robust. The methodology readily extends to unbalanced designs. |
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Keywords: | 62K10 62F10 62F12 62F03 62F35 |
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