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Statistics
A Journal of Theoretical and Applied Statistics
Volume 26, 1995 - Issue 2
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Original Articles

Experimental Design

Pages 153-161 | Published online: 27 Jun 2007

References

  • Cook , R. D. and Nachtsheim , C. J. 1982 . Model robust linear optimal designs . Technometrics , 24 : 49 – 54 .
  • Cook , R. D. and Wong , W. K. 1993 . Heteroscedastic G-optimal designs . J. R. Statist. Soc. , B55 : 871 – 880 .
  • Dette , H. 1990 . A generalization of D- and D 1-optimal designs in polynomial regression . Ann. Statist. , 18 : 1784 – 1805 .
  • Dette , H. 1991 . A note on model robust design in polynomial regression . J. Statist. Plan. Inf. , 20 : 223 – 232 .
  • Dette , H. 1993 . Elfving's theorem for D-optimality . Ann. Statist. , 21 : 753 – 766 .
  • Dette , H. 1994 . “ Discrimination designs for polynomial regression on compact intervals ” . In Ann. Statist. to appear
  • Dette , H. and Studden , W. J. 1992 . “ Minimax designs in linear regression models ” . Department of Statistics, Purdue University . Technical Report #92-21
  • Gaffke , N. 1985 . Directional derivatives of optimality criteria at singular matrices in convex design theory . Statistics , 16 : 373 – 388 .
  • Hoang , T. and Seeger , A. 1991 . On conjugate functions, subgradients and directional derivatives of a class of optimality criteria in experimental design . Statistics , 22 : 349 – 368 .
  • Gutmair , S. 1993 . “ Polars and subgradients of mixtures of information functions ” . In J. Statist. Plan. Inf.
  • Kiefer , J. and Wolfowitz , J. 1959 . Optimum designs in regression problems . Ann. Math. Statist. , 30 : 271 – 294 .
  • Läuter , E. 1974 . Experimental design in a class of models . Math. Oper. Statist. , 5 : 379 – 398 .
  • Lau , T. S. and Studden , W. J. 1985 . Optimal designs for trigonometric and polynomial regression using canonical moments . Ann. Statist. , 13 : 383 – 394 .
  • Lee , C. 1988 . D-optimal designs for polynomial regression when lower degree parameter are more important . Utilitas Mathematica , 34 : 53 – 63 .
  • Neugebauer , M. 1993 . “ Optimale Versuchspläne für Mischungen von linearen Regressionsmodellen und nichtlineare Regressionsmodelle. Dissertation ” . Universät Hannover . in German
  • Pukelsheim , F. 1980 . On linear regression designs which maximize information . J. Statist. Plan. Inf. , 4 : 339 – 364 .
  • Pukelsheim , F. 1993 . Optimal design of experiments , New York : Wiley .
  • Silvey , S. D. 1980 . Optimal design , London : Chapman and Hall .
  • Studden , W. J. 1982 . Some robust type D-optimal designs in polynomial regression . J. Amer. Statist. Assoc. , 77 : 916 – 921 .
  • Whittle , P. 1971 . Optimization under constraints , New York : Wiley .

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