COMPUTER-AIDED CONSTRUCTION OF SMALL (M, S)-OPTIMAL INCOMPLETE BLOCK DESIGNS |
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| Authors: | Nam-Ky Nguyen Aloke Dey |
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| Affiliation: | CSIRO-IAPP Biometrics Unit and Indian Statistical Institute;CSIRO-IAPP Biometrics Unit, Private Bag 10, Clayton, Vic. 3168, Australia;Indian Statistical Institute, Delhi Centre, New Delhi-110016, India |
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| Abstract: | A new exchange algorithm for the construction of (M, S)-optimal incomplete block designs (IBDS) is developed. This exchange algorithm is used to construct 973 (M, S)-optimal IBDs (v, k, b) for v= 4,…,12 (varieties) with arbitrary v, k (block size) and b (number of blocks). The efficiencies of the “best” (M, S)-optimal IBDs constructed by this algorithm are compared with the efficiencies of the corresponding nearly balanced incomplete block designs (NBIBDs) of Cheng(1979), Cheng & Wu (1981) and Mitchell & John(1976). |
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| Keywords: | Computer-aided designs (M, S)-optimality optimal designs incomplete block designs nearly balanced incomplete block designs |
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