Journal of the Korean Statistical Society

  • 제32권4호
  • /
  • Pages.337-357
  • /
  • 2003
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

MEASURES FOR STABILITY OF SLOPE ESTIMATION ON THE SECOND ORDER RESPONSE SURFACE AND EQUALLY-STABLE SLOPE ROTATABILITY

  • Park, Sung H. (Department of Statistics, Seoul National University) ;
  • Kang, Ho-Seog (System Business Co. LTD.) ;
  • Kang, Kee-Hoon (Department of Statistics, Hankuk University of Foreign Studies)
  • 발행 : 2003.12.01
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초록

This paper introduces new measures for the stability of slope estimation on the second order response surface at a point and on a sphere. As a measure of point stability of slope estimation, we suggest a point dispersion measure of slope variances over all directions at a point. A spherical dispersion measure is also proposed as a measure of spherical stability of slope estimation on each sphere. Some designs are studied to explore the usefulness of the proposed measures. Using the point dispersion measure, another concept of slope rotatability called equally-stable slope rotatability is proposed as a useful property of response surface designs. We provide a set of conditions for a design to have equally-stable slope rotatability.

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참고문헌

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