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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
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Creator Rahul Banerjee
Seema Jaggi
Eldho Varghese
Arpan Bhowmik
Cini Varghese
Anindita Datta
Shvetank Lall
 
Subject Candidate set
D-optimality
Fisher information matrix
General equivalence theorem
Logistic Models
Mixture experiments
Modified Fedorov exchange algorithm
Non Normal Response
 
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).
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Date 2024-03-01T15:12:22Z
2024-03-01T15:12:22Z
2023-12-01
 
Type Article
 
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
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http://krishi.icar.gov.in/jspui/handle/123456789/81534
 
Language Hindi
 
Relation Not Available;
 
Publisher Bhartiya Krishi Anusandhan Patrika