Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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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)
  • Published : 2006.03.01
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Abstract

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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References

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