D-optimal central composite design

Abstract

이 논문은 중심 합성 계획에서 최적의 축점의 위치 α와 중심점 n_(0)의 수를 결정하는 방법으로서 D-최적 계획과 D_(s)-최적 계획을 적용하였고 그러한 n_(0)와 α를 발견해내기 위해 D-효율성과 D_(s)-효율성을 계산해 보았다.;Central composite designs are well known for the polynomial response surface model on the k-cube and the k-sphere. An important issue in central composite designs is to determine the position of star points α and the number of center points n_(0). In this thesis, we propose a method to determine n_(0) and optimal α under D- and D_(s)-optimality criterion, and calculate D- and D_(s)-efficiencies of the resulting designs with respect to approximate D- and D_(s)-optimal designs.