Journal of the Korean Statistical Society

  • 제35권1호
  • /
  • Pages.25-36
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  • 2006
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  • 1226-3192(pISSN)
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  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

SLOPE ROTATABILITY OF ICOSAHEDRON AND DODECAHEDRON DESIGNS

  • Kim Hyuk-Joo (Division of Mathematics and Informational Statistics and Institute of Basic Natural Sciences, Wonkwang University) ;
  • Park Sung-Hyun (Department of Statistics, Seoul National University)
  • 발행 : 2006.03.01
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초록

Icosahedron and dodecahedron designs are experimental designs which can be used for response surface analysis for the case when three independent variables are involved. When we are interested in estimating the slope of a response surface, slope rot at ability is a desirable property. In this paper, we derive conditions for icosahedron and dodecahedron designs to have slope rotatability, and actually obtain some slope-rotatable icosahedron and dodecahedron designs. We also apply Park and Kim (1992)'s measure of slope rotatability to icosahedron and dodecahedron designs, and observe resultant facts.

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참고문헌

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  2. Box, G. E. P. AND HUNTER, J. S. (1957). 'Multi-factor experimental designs for exploring response surfaces', Annals of Mathematical Statistics, 28, 195-241 https://doi.org/10.1214/aoms/1177707047
  3. HADER, R. J. AND PARK, S. H. (1978). 'Slope-rotatable central composite designs', Technometrics. 20. 413-417 https://doi.org/10.2307/1267641
  4. KHURI, A. I. AND CORNELL, J. A. (1996). Response Surfaces. Designs and Analyses, 2nd ed., Marcel Dekker, New York
  5. MYERS, R. H. (1976). Response Surface Methodology, Blacksburg, VA:Author (distributed by Edwards Brothers, Ann Arbor, MI)
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  7. PARK, S. H. AND KIM, H. J. (1992). 'A measure of slope-rotatability for second order response surface experimental designs', Journal of Applied Statistics, 19, 391-404 https://doi.org/10.1080/02664769200000035