Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Extended Central Composite Designs with the Axial Points Indicated by Two Numbers

  • Kim, Hyuk-Joo (Division of Mathematics and Informational Statistics and Institute of Basic Natural Science, Wonkwang University)
  • Published : 2002.12.01
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Abstract

The central composite design is widely used for estimating second order response surfaces. This type of design is composed of $2^k$ 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.

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References

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  1. Conditions of Slope-Rotatability for Third-Order Polynomial Regression Models vol.41, pp.23, 2012, https://doi.org/10.1080/03610926.2011.573158
  2. On Slope Rotatability of Central Composite Designs of the Second Type vol.11, pp.1, 2004, https://doi.org/10.5351/CKSS.2004.11.1.121
  3. Extension of Central Composite Design for Second-Order Response Surface Model Building vol.39, pp.7, 2010, https://doi.org/10.1080/03610920902871412