Optimal design results for 2n factorial paired comparison experiments |
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Authors: | Abdalla T. El-Helbawy Essam A. Ahmed |
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Affiliation: | 1. United Arab Emirates University , AL-Ain, United Arab Emirates;2. Kuwait University , Kuwait |
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Abstract: | Four general classes of partially balanced designs for 2n factorials, corresponding to four different forms of a general null hypothesis H on factorial effects, are presented. For the typical design in each class, the simplified form of the non-centrality parameter λ2 of the asymptotic chi-square distribution of the likelihood ratio statistic for testing the corresponding form of H0 is derived under defined local alternatives. Optimal designs d1 maximizing λ2 in the i-th class and minimizing the trace, determinant and largest eigenvalue of a defined covariance matrix, i =1,…,4, are determined. |
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Keywords: | paired comparisons factorial treatments hypothes on factorial effects treatment contracts non-centrality parameter optimal designs |
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