Journal of the Korean Statistical Society

  • 제8권1호
  • /
  • Pages.37-64
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  • 1979
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  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

Designs for Estimating the Derivatives on Response Surfaces

  • Park, Sung H. (Department of Computer Science and Statistics, Seoul National University)
  • 발행 : 1979.06.01
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초록

Criteria and designs are developed for estimating derivatives of P-variable second order polynomial response surfaces. The basic criterion used is mean square error of the estimated derivative, averaged over all directions and then averaged over a region of interest. A new design concept called slope-rotatability is introduced. A simplex optimization program is used to find minimum mena square error designs for the two variable case for $6 \leq N \leq 12$.

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참고문헌

  1. Biometrika v.57 The design of experiments to estimate the slope of a response surface Atkinson,A.C.
  2. Journal of the American Statistical Association v.54 A basis for the selection of a response surface design Box,G.E.P.;Draper,N.R.
  3. Biometrika v.50 The choice of a secod order rotatable design Box,G.E.P.;Draper,N.R.
  4. Annal of Mathemntical Statistics v.28 Multi-factor experimental designs for exploring response surfaces Box,G.E.P.;Hunter,J.S.
  5. Mimeograph Series Computer generated D-optimal, V-optimal and trace optimal minimum bias experimental designs Evans,J.W.
  6. Second Gordon Research Conf. on Operations Research and Management Science Empirical optimization in research and development Hendrix,C.D.
  7. Unpublished M. Sc. thesis. School of Industrial and Systems Engineering Minimum bias estimation of the slope of a response surface Matteson,R.J.
  8. Unpublished M. Sc. thesis. School of Industial and Systems Engineering Minimum bias designs for response surfaces Munsch,R.C.
  9. Technometrics v.14 Designs for estimating the slope of a second order linear model Ott,L.;Mendenhall,W.
  10. N.C.State University Institute of Statistics Mimeograph Series 969 Experimental Designs for Estimating the Slope of Second Order Polynomial Response Surfaces Park, Sung H.
  11. Technometrics v.4 Slope-Rotatable Central Composite Designs Park, Sung H.;Harder,R.J.
  12. Technometrics v.4 Sequential application of simplex designs in optimization and evaluationary operations Spendly,W.;Hext,G.R.;Himsworth,F.R.