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Multi-response Designs Minimizing Model Inadequacies

  • Bae, Whasoo (Department of Date Science, Inje University)
  • 발행 : 2002.12.01

초록

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.

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참고문헌

  1. Journal of Korean Statistical Society v.24-1 A study on a basic for the selection of a design for quadratic model fits fearing a cubic bias in multiple reponse case Bae, WhaSoo
  2. Journal of American Statistical Association v.54 A basis for the selection of a response surface design Box, G.E.P.;Draper, N.R. https://doi.org/10.2307/2282542
  3. Biometrika v.50 The choice of a second order rotatable design Box, G.E.P.;Fraper, N.R. https://doi.org/10.1093/biomet/50.3-4.335
  4. Biometrika v.52 The bayesian estimation of common parameters from several responses Box, G.E.P.;Draper, N.R. https://doi.org/10.1093/biomet/52.3-4.355
  5. Bayesian Inference in Statistical Analysis Box, G.E.P.;Tiao, G.C.
  6. Biometrika v.52 Designs minimizing model inadequacies : Cubiodal region of interest Draper. N.R.Lawrence, W.R.
  7. Statistica Sinica v.4-1 Choosing a design for straight line fits to two correlated responses Kim, W.B.;Draper, N.R.