Asymptotic relative efficiency of designs for factorial paired comparison experiments |
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Authors: | Abdalla T El-Helbawy |
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Institution: | Department of Mathematics and Statistics, The United Arab Emirates University, P.O. Box 15551, Al-Ain, United Arab Emirates |
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Abstract: | A general approach for comparing designs of paired comparison experiments on the basis of the asymptotic relative efficiencies, in the Bahadur sense, of their respective likelihood ratio tests is discussed and extended to factorials. Explicit results for comparing five designs of 2q factorial paired comparison experiments are obtained. These results indicate that some of the designs which require comparison of fewer distinct pairs of treatments than does the completely balanced design are, generally, more efficient for detecting main effects and/or certain interactions. The developments of this paper generalize the work of Littell and Boyett (1977) for comparing two designs of R x C factorial paired comparison experiments. |
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Keywords: | Primary 62K05 Secondary 62K15 Paired comparison Factorial model Bahadur efficiency Comparisons of designs |
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