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A weighted D-optimality criterion for constructing model-robust designsin the presence of block effects |
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| รหัสดีโอไอ | |
| Creator | 1. Peang-or Yeesa 2. Patchanok Srisuradetchai 3. John J. Borkowski |
| Title | A weighted D-optimality criterion for constructing model-robust designsin the presence of block effects |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2563 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 42 |
| Journal No. | 6 |
| Page no. | 1259-1273 |
| Keyword | experimental design, D-optimality, weak heredity, genetic algorithm |
| URL Website | https://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | It is generally known that blocking can reduce unexplained variation, and in response surface designs block sizes canbe pre-specified. This paper proposes a novel way of weighting D-optimality criteria obtained from all possible models toconstruct robust designs with blocking factors and addresses the challenge of uncertainty as to whether a first-order model, aninteraction model, or a second-order model is the most appropriate choice. Weighted D-optimal designs having 2 and 3 variableswith 2, 3, and 4 blocks are compared with corresponding standard D-optimal designs in terms of theDN-efficiencies. Effects ofblocking schemes are also investigated. Both an exchange algorithm (EA) and a genetic algorithm (GA) are employed to generatethe model-robust designs. The results show that the proposedDw-optimality criterion can be a good alternative for researchers asit can create robust designs across the set of potential models. |
