混合物實驗에서 反應表面의 기울기推定에 適合한 實驗計劃法에 關한 硏究
A Study on Optimal Designs for Estimating the Slope of Response Surfaces in Experiments with Mixtures
- 강원대학교 기초과학연구소
- 기초과학연구
- 제5집
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1988.1229 - 39 (11 pages)
- 6
혼합물실험에서 반응표면의 기울기추정에 적합한 최적성기준을 기울기회전성개념을 사용하여 제안하고, 그에 의하여 얻어지는 최적실험계획법이 기존에 사용되고 있는 선형최적성기준에 부합됨을 보였다.
Designs for estimating the slope of second order Scheffe polynomial response surfaces for mixture experiments are considered. The variance of the estimated slope at a point is a function of the direction of the slope and the design. If the variance is averaged, it is only a function of the design. Minimization of the integration of the averaged variance on the space of predictor variables is taken as the optimal criterion. The resulting designs belong to a more general class of L-optimal designs.
요 약
Abstract
1. INTRODUCTION
2. ESTIMATION OF SLOPES AND OPTIMALITY
3. A PARTICULAR L-OPTIMAL CRITERION
4. NUMERICAL RESULTS AND COMMENTS
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