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Multi-response Designs Minimizing Model Inadequacies
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 Title & Authors
Multi-response Designs Minimizing Model Inadequacies
Bae, Whasoo;
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 Abstract
This paper aims at selecting the multi-response design with γ responses minimizing the bias error caused by fitting inadequate models to responses, where the first order models are fitted to Ρ responses fearing the quadratic bias, while to other γ- Ρ responses, the quadratic models are fitted fearing the cubic biases in the cuboidal region of interest. Under the assumption of symmetric design, by minimizing the criterion which represents the amount of error caused by fitting inadequate models, the optimum design was found to be the one having the design moments of second order and the fourth order as 1/3 and l/5, respectively. Examples of the design meeting the required conditions are given for illustration.
 Keywords
cuboidal region;bias error;design moment;multi-response design;
 Language
English
 Cited by
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