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D-optimal designs with minimal and nearly minimal number of units |
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| Institution: | 1. College of Agronomy, Sichuan Agricultural University, Chengdu 611130, Sichuan, China;2. College of Environment, Sichuan Agricultural University, Chengdu 611130, Sichuan, China;3. Sichuan Engineering Research Center for Crop Strip Intercropping System/Key Laboratory of Crop Ecophysiology and Farming System in Southwest, Ministry of Agriculture, Chengdu 611130, Sichuan, China;4. Yibing Academy of Agricultural Sciences, Yibing 644000, Sichuan, China;5. Shehong Farm Bureau, Suining 629200, Sichuan, China |
| Abstract: | D-optimal designs are identified in classes of connected block designs with fixed block size when the number of experimental units is one or two more than the minimal number required for the design to be connected. An application of one of these results is made to identify D-optimal designs in a class of minimally connected row-column designs. Graph-theoretic methods are employed to arrive at the optimality results. |
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