Journal of the Korean Statistical Society

  • 제11권1호
  • /
  • Pages.36-44
  • /
  • 1982
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

Axis-Slope-Rotatable Designs for Experiments With Mixture

  • Park, Sung H. (Department of Computer Science and Statistics, Seoul National University) ;
  • Kim, Joo H. (Department of Computer Science and Statistics, Seoul National University)
  • 발행 : 1982.06.01
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초록

A new design concept, called axis-slope-rotatability, is presented for the design of experiments with mixtures. This is an analogue of the Box-Hunter (1957) rotatability for second order response surface designs. By choice of design, it is possible to make the variance of the estimated slopes along the component axes constant for all axial points equidistant from the center point of the factor space. This property is called axis-slope-rotatability for mixture experiments. When the Scheffe's second degree polynomial is used, it is shown that some symmetry conditions are sufficient for axis-slope-rotatability. Several designs having this property are illustrated.

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참고문헌

  1. Ann. Math. Statist. v.28 Multifactor experimental designs for exploring response surfaces Box,G.E.P.;Hunter,J.S.
  2. An Update and bibliography. Technometrics v.21 Experiments with mixtures Cornell,J.A.
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  5. Technometrics v.19 Comparison of simplex designs for quadratic mixture models Galil,Z.;Kiefer,J.
  6. Technometrics v.5 Comparison of simplex designs for multicomponent systems Galil,Z.;Kiefer,J.
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  12. J. Roy. Statist.,Soc., B v.25 The simplex-centroid design for experiments with mixtures Scheffe,H.
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