A lower bound to the measure of optimality for main effect plans in the general asymmetric factorial experiments |
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| Authors: | K Chatterjee P Angelopoulos |
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| Institution: | 1. Department of Statistics , Visva-Bharati University , Santiniketan , West Bengal , India;2. Department of Mathematics , National Technical University of Athens , Zografou, 15773 , Athens , Greece |
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| Abstract: | A design d is called D-optimal if it maximizes det(M d ) and is called MS-optimal if it maximizes tr(M d ) and minimizes tr(M d )2] among those which maximize tr(M d ), where M d stands for the information matrix produced from d under a given model. In this paper, we establish a lower bound for tr(M d )2] with respect to a main effects model, where d is an s 1×s 2×···×s m levels asymmetric orthogonal array of strength at least 1. Nonisomorphic asymmetrical MS-optimal orthogonal arrays of strength 1 with N=6, 8 and 12 runs are also presented. |
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| Keywords: | orthogonal arrays trace MS-optimality asymmetrical mixed level |
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