Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
권호 표지

Slope Rotatability Over All Directions and Average Slope Variance in Spherical Surface

  • Sim, Jung-Wook (Chonnam National University) ;
  • Oh, Mi-Ra (Information and Telecommunication Research Institute, Chonnam National University)
  • Published : 2000.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

Hader and Park (1978) introduced the idea of slope rotatability, and Park (1987) introduced the concept of slope rotatability over all directions, and gave necessary and sufficient conditions. Park and Kim (1992) proposed a measure that represent the extent of slope rotatability for a given response surface design. Kim (1993) proposed a measure that represent the extent of slope rotatavility over all directions. In this paper, we embodied the measure of slope rotatability over all directions. Examples of applying this measure to some response surface designs are also given. In this response surface design of slope rotatavility over all directions, we obtain the mean slope variances on the spherical surface to select better experimental design varying the number of center points and radius.

Keywords

References

  1. Technometrics v.20 Slope-Ratatable Central Composite Designs Harder, R.J;Park, S.H.
  2. Communications in Statistics - Theory and Methods v.22 A measure and a graphical method for evaluating slope rotatability in response surface designs Jang, D.H;Park, S.H.
  3. The Korean Journal of Applied Statistics v.6 A measure of slope-rotatability over all directions Kim, H.J.
  4. Technometrics v.29 A class of multifactor designs for estimating the slope of response surfaces Park, S.H.
  5. Journal of Applied Statistics v.19 A measure of slope-rotatability for second order response surface experimental designs Park, S.H.;Kim, H,J.
  6. Technometrics v.19 Hybrid Designs for Quadratic Response Surfaces Roquemore, K.G.
  7. Journal of Applied Statistics v.22 Slope rotatable over all directions designs Ying, L.H.;Pukelsheim, F.;Draper, N.R.
  8. Journal of Applied Statistics v.22 Slope rotatable over all directions designs for k 4 Ying, L.H.;Pukelsheim, F.;Draper, N.R.