Construction of Saturated D-optimal Designs for Mixture Experiments with a Non Normal Response using an Algorithmic Search
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Title |
Construction of Saturated D-optimal Designs for Mixture Experiments with a Non Normal Response using an Algorithmic Search
Not Available |
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Creator |
Rahul Banerjee
Seema Jaggi Eldho Varghese Arpan Bhowmik Cini Varghese Anindita Datta Shvetank Lall |
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Subject |
Candidate set
D-optimality Fisher information matrix General equivalence theorem Logistic Models Mixture experiments Modified Fedorov exchange algorithm Non Normal Response |
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Description |
Not Available
Background: Mixture experiments belong to the response surface design category, involving the combination of multiple components to create a product. These products are commonly encountered in daily life. In some cases, mixture experiments yield qualitative responses, such as taste in a fruit punch. Qualitative variables often deviate from a normal distribution. Methods: To address non-normal responses, a generalized linear model, specifically the logistic model, is employed. This study utilizes logistic models and develops suitable search algorithms to obtain saturated D-optimal designs for mixture experiments. The validation of D-optimality criteria is based on the General Equivalence Theorem. Result: For generating locally D-optimal designs, the logistic model is utilized considering non-normally distributed errors. While the procedure remains the same for other nonlinear models, the assumptions regarding error distribution impact the Fisher information matrix (FIM). Not Available |
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Date |
2024-03-01T15:12:22Z
2024-03-01T15:12:22Z 2023-12-01 |
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Type |
Article
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Identifier |
Banerjee, R., Jaggi, S., Varghese, E., Bhowmik, A., Varghese, C., Datta, A. and Lall, S. (2023). Construction of Saturated D-optimal Designs for Mixture Experiments with a Non Normal Response using an Algorithmic Search. Bhartiya Krishi Anusandhan Patrika. 38(4): 320-323. doi: 10.18805/BKAP630
Not Available http://krishi.icar.gov.in/jspui/handle/123456789/81534 |
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Language |
Hindi
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Relation |
Not Available;
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Publisher |
Bhartiya Krishi Anusandhan Patrika
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