Extended Central Composite Designs with the Axial Points Indicated by Two Numbers

Title & Authors
Extended Central Composite Designs with the Axial Points Indicated by Two Numbers
Kim, Hyuk-Joo;

Abstract
The central composite design is widely used for estimating second order response surfaces. This type of design is composed of $\small{2^k}$ factorial points, axial points and center points. In this paper, we suggest a version of central composite design where the positions of the axial points are indicated by two numbers, and study properties of this design. We obtain the variances and covariances of the estimators of the regression coefficients. Conditions are obtained for this design to be orthogonal and rotatable. This design is compared with other designs on the basis of efficiency.
Keywords
Response surface methodology;Central composite design;Orthogonality;Rotatability;Efficiency;
Language
Korean
Cited by
1.
On Slope Rotatability of Central Composite Designs of the Second Type,;;

Communications for Statistical Applications and Methods, 2004. vol.11. 1, pp.121-137
2.
제2종의 중심합성계획의 통계적 성질,김혁주;박성현;

응용통계연구, 2006. vol.19. 2, pp.257-270
1.
Conditions of Slope-Rotatability for Third-Order Polynomial Regression Models, Communications in Statistics - Theory and Methods, 2012, 41, 23, 4348
2.
Extension of Central Composite Design for Second-Order Response Surface Model Building, Communications in Statistics - Theory and Methods, 2010, 39, 7, 1202
3.
On Slope Rotatability of Central Composite Designs of the Second Type, Communications for Statistical Applications and Methods, 2004, 11, 1, 121
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