Communications for Statistical Applications and Methods

  • 제9권3호
  • /
  • Pages.595-605
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  • 2002
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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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)
  • 발행 : 2002.12.01
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초록

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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참고문헌

  1. 「현대실험계획법」 박성현
  2. Annals of Mathematical Statistics v.28 Multifactor experimental design for exploring response surfaces Box, G.E.P.;Hunter, J.S. https://doi.org/10.1214/aoms/1177707047
  3. Journal of the Royal Statistical Society v.B13 On the experimental attainment of optimum conditions Box, G.E.P.;Wilson, K.B.
  4. Response Surfaces : Designs and Analysis(2nd ed.) Khuri, A.I.;Cornell, J.A.
  5. Response Surface Methodology Myers, R.H.

피인용 문헌

  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