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Design of Experiments

Supersaturated Latin Hypercube Designs

Pages 417-428 | Received 09 Dec 2003, Accepted 09 Jun 2004, Published online: 26 Dec 2007

References

  • Bailey , R. A. 1982 . The decomposition of treatment degrees of freedom in quantitative factorial experiments . J. Roy. Statist. Soc. Ser. B , 44 : 63 – 70 .
  • Bailey , R. A. 1984 . Quasi-complete Latin squares: construction and randomization . J. Roy. Statist. Soc. Ser. B , 46 : 323 – 334 .
  • Bates , R. A. , Buck , R. J. , Riccomagno , E. and Wynn , H. P. 1996 . Experimental design and observation for large systems (with discussion) . J. Roy. Statist. Soc. Ser. B , 58 : 77 – 94 .
  • Box , G. E. P. and Draper , N. R. 1959 . A basis for the selection of a response surface design . J. Amer. Statist. Assoc. , 54 : 622 – 654 .
  • Box , G. E. P. and Draper , N. R. 1987 . Empirical Model-Building and Response Surfaces , New York : John Wiley .
  • Box , G. E. P. and Meyer , R. D. 1986 . An analysis for unreplicated fractional factorials . Technometrics , 28 : 11 – 18 .
  • Butler , N. A. 2001 . Optimal and orthogonal Latin hypercube designs for computer experiments . Biometrika , 88 : 847 – 57 .
  • Butler , A. , Eskridge , N. K. M. , Mead , R. and Gilmour , S. G. 2001 . A general method of constructing E(s2)-optimal supersaturated designs . J. R. Statist. Soc. , B63 : 621 – 32 .
  • Edmondson , R. N. 1993 . Systematic row-and-column designs balanced for low order polynomial interactions between rows and columns . J. Roy. Statist. Soc. Ser. , B55 : 707 – 723 .
  • Huber , P. J. 1981 . Robust Statistics , New York : John Wiley .
  • Kleijnen , J. P. C. 1997 . Sensitivity analysis and related analyses: a review of some statistical techniques . J. Statist. Comput. Simul. , 57 : 111 – 142 .
  • McKay , M. D. , Conover , W. J. and Beckman , R. J. 1979 . A comparison of the three methods for selecting values of input variables in the analysis of output from a computer code . Technometrics , 21 : 239 – 245 .
  • Morris , M. D. 1991 . Factorial plans for preliminary computational experiments . Technometrics , 33 : 161 – 174 .
  • Morris , M. D. , Mitchell , T. J. and Ylvisaker , D. 1993 . Bayesian design and analysis of computer experiments: use of derivatives in surface prediction . Technometrics , 35 : 234 – 255 .
  • Nguyen , N. K. 1996 . An algorithmic approach to constructing supersaturated designs . Technometrics , 38 : 69 – 73 .
  • O'Hagan , A. 1978 . Curve fitting and optimal design for prediction (with discussion) . J. Roy. Statist. Soc. Ser. , B40 : 1 – 42 .
  • Plackett , R. L. and Burman , J. P. 1946 . The design of optimum factorial experiments . Biometrika , 33 : 303 – 325 .
  • Riccomagno , E. , Schwabe , R. and Wynn , H. P. 1997 . Lattice-based optimum design for Fourier regression . Ann. Statist. , 25 : 2313 – 2327 .
  • Sacks , J. , Schiller , S. B. and Welch , W. J. 1989a . Designs for computer experiments . Technometrics , 31 : 41 – 47 .
  • Sacks , J. , Welch , W. J. , Mitchell , T. J. and Wynn , H. P. 1989b . Design and analysis of computer experiments (with discussion) . Statist. Sci. , 4 : 409 – 435 .
  • Tang , B. and Wu , C. F. J. 1997 . A method for constructing supersaturated designs and its Es 2 optimality . Canad. J. Statist. , 25 : 191 – 201 .
  • Watson , G. S. 1961 . A study of the group screening method . Technometrics , 3 : 371 – 388 .
  • Welch , W. J. , Buck , R. J. , Sacks , J. , Wynn , H. P. , Mitchell , T. J. and Morris , M. D. 1992 . Screening, predicting and computer experiments . Technometrics , 34 : 15 – 25 .
  • Williams , E. J. 1949 . Experimental designs balanced for the estimation of residual effects of treatments . Austral. J. Sci. Res. , A2 : 149 – 168 .
  • Yamada , S. and Lin , D. K. J. 1997 . Supersaturated design including an orthogonal base . Canad. J. Statist. , 25 : 203 – 213 .

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