[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5351/CKSS.2004.11.1.121

On Slope Rotatability of Central Composite Designs of the Second Type

Kim, Hyuk-Joo (Division of Mathematics and Informational Statistics and Institute of Basic Natural Sciences, Wonkwang University)
Ko, Yun-Mi (Department of Informational Statistics, Graduate School, Wonkwang University)

Publication Information

Communications for Statistical Applications and Methods / v.11, no.1, 2004 , pp. 121-137 More about this Journal

Abstract

Kim(2002) proposed a second type of central composite design (CCD2), in which the positions of the axial points are indicated by two numbers. In this paper, we study properties of CCD2 when we are interested in estimating the slope of a response surface. Conditions are obtained for CCD2 to be slope-rotatable over axial directions, and some CCD2's are presented that have slope rotatability over axial directions. Also values of a measure of slope rotatability over axial directions are tabulated for various CCD2's. Finally, it is shown that CCD2 is always slope-rotatable over all directions.

Keywords

Central composite design of the second type; Slope rotatability over axial directions; Slope rotatability over all directions;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
Cited By KSCI

1	Extended central composite design with the axial points indicated by two numbers / [ Kim,H.J. ] / The Communications in Statistics 과학기술학회마을 DOI ScienceOn
2	The design of experiments to estimate the slope of a response surface / [ Atkinson,A.C. ] / Biometrika DOI ScienceOn
3	/ [ Kim,H.J. ] / Response Surface Methodology
4	A measure of slope rotatability over all directions / [ Kim,H.J. ] / The Korean Journal of Applied statistics 과학기술학회마을
5	A class of multifactor designs for estimating the slope of response surfaces / [ Park,S.H. ] / Technometrics DOI ScienceOn
6	A measure of slope-rotatability for second order response surface experimental designs / [ Park,S.H.;Kim,H.J. ] / Journal of Applied Statistics DOI
7	Slope-rotatable central composite designs / [ Hader,R.J.;Park,S.H. ] / Technometrics DOI ScienceOn