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Communications in Statistics - Simulation and Computation Volume 27, 1998 - Issue 2
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Original Articles

Minimax designs for estimating the slope of a third-order response surface in a hypercubic region

S. Huda Department of Statistics, King Saud University, Riyadh, Saudi Arabia
&
A.A. Al-Shiha Department of Statistics, King Saud University, Riyadh, Saudi Arabia
Pages 345-356 | Received 01 Jun 1997, Published online: 12 May 2011

References

  • Atkinson , A.C. 1970 . The design of experiments to estimate the slope of a response surface . Biometrika , 57 : 319 – 328 .
  • Box , G.E.P. and Hunter , J.S. 1957 . Multifactor experimental designs for exploring response surfaces . Ann. Math. Statist. , 28 : 195 – 241 .
  • Hader , R.J. and Park , S.H. 1978 . Slope‐rotatable central composite designs . Technometrics , 20 : 413 – 417 .
  • Huda , S. and Shafiq , M. 1992 . Minimax designs for estimating the slope of a second-order response surface in a cubic region . J. Appl. Statist. , 19 : 501 – 507 .
  • Jang , D.H. and Park , S.H. 1993 . A measure and a graphical method for evaluating slope‐rotatability in response surface designs . Commun. Statist. ‐ Theor. Meth. , 22 : 1849 – 1863 .
  • Kiefer , J. 1960 . Optimum experimental designs V, with applications to systematic and rotatable designs . Proc. 4th Berk. Symp. , 1 : 381 – 405 .
  • Kim , H.J. and Park , S.H. 1992 . A measure of slope‐rotatability for second order response surface experimental design . J. Appl. Statist. , 19 : 391 – 404 .
  • Lim , Y.B. and Studden , W.J. 1988 . Efficient Ds;‐optimal designs for multivariate polynomial regression on the q‐cube . Ann. Statist. , 16 : 1225 – 1240 .
  • Mukerjee , R. and Huda , S. 1985 . Minimax second‐ and third‐order designs to estimate the slope of a response surface . Biometrika , 72 : 173 – 178 .
  • Park , S.H. 1987 . A class of multifactor designs for estimating the slope of response surfaces . Technometries , 29 : 449 – 453 .
  • Ying , L.H. , Pukelsleim , F. and Draper , N. R. 1995a . Slope rotatabil‐ity over all directions designs . J. Appl. Statist. , 22 : 331 – 341 .
  • Ying , L.H. , Pukelsleim , F. and Draper , N. R. 1995b . Slope rotatabil‐ity over all directions designs for k >= 4 . J. Appl. Statist. , 22 : 343 – 354 .

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