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Partially A-optimal blocked multi-factor designs |
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| Authors: | Xiaodi Wang Xueping Chen Yingshan Zhang |
| Institution: | 1. School of Statistics and Mathematics, Central University of Finance and Economics, Beijing, China;2. Department of Mathematics, Jiangsu University of Technology, Changzhou, China;3. School of Statistics, East China Normal University, Shanghai, China |
| Abstract: | In this paper, we propose a partially A-optimal criterion for block designs where multiple factors are arranged. The number of levels of each factor is assumed to be arbitrary and unequal block sizes are allowed. A sufficient condition is derived for a design to be partially A-optimal among all feasible designs. Then the properties of the selected design and its relation with orthogonal arrays are studied. Methods of constructing designs satisfying the sufficient condition are also given. |
| Keywords: | primary 62K05 secondary 62K10 Block Partially A-optimal Orthogonal meeting balanced Orthogonal array |
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