Advanced search
Publication Cover
Communications in Statistics - Simulation and Computation Volume 32, 2003 - Issue 1
Submit an article Journal homepage
68
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Computation of Optimum in Average Designs for Experiments with Finite Design Space

Hans Pettersson Department of Statistics, Umeå University, Umeå, Sweden
&
Hans Nyquist Department of Statistics, Umeå University, Umeå, SwedenCorrespondence[email protected]
Pages 205-221 | Published online: 02 Sep 2006

References

  • Adams , R. A. 1995 . Calculus Addison-Wesley Publishers Limited .
  • Arnoldsson , G. 1996 . Optimal allocation for linear combinations of linear predictors in Generalized Linear Models . Journal of Applied Statistics , 23 ( 5 ) : 493 – 505 .
  • Arnoldsson , G. 1996 . “ Optimal design for inference in Generalized Linear Models ” . Statistical studies, No. 22 Sweden : Department of statistics, University of Umeå .
  • Atkinson , A. C. and Donev , D. L. 1992 . Optimum Experimental Design Oxford University Press .
  • Chaloner , K. and Larntz , K. 1989 . Optimal Bayesian design applied to logistic regression experiments . Journal of Statistical Planning and Inference , 21 : 191 – 208 .
  • Chernoff , H. 1953 . Locally optimal designs for estimating parameters . Annals of Mathematical Statistics , 24 : 586 – 602 .
  • Fedorov , V. 1972 . Theory of Optimal Experiments New York : Academic press .
  • Fedorov , V. and Hackl , P. 1997 . Model-oriented Design of Experiment New York : Springer .
  • McCullagh , P. and Nelder , J. 1989 . Generalized Linear Models. , 2nd ed. London : Chapman and Hall .
  • Montgomery , D. C. 1997 . Design and Analysis of Experiment John Wiley & Sons .
  • Pazman , A. 1986 . Foundation of Optimum Experimental Design Dohrdrecht : D. Reidel Publishing Company .
  • Pettersson , H. Optimal Design in Average for Inference in Generalized Linear Models . Statistical Research Report . 2000–3 .
  • Sitter , R. R. 1992 . Robust designs for binary data . Biometrics , 48 : 1145 – 1155 .
  • Sitter , R. R. and Torsney , B. D-optimal designs for generalized linear models . Proceedings of MODA4 . Edited by: Kitsos , C. P. and Muller , W. G. pp. p. 87 – 102 . Heidelberg : Physica Verlag .
  • Sitter , R. R. and Wu , C. F. J. 1993 . Optimal designs for binary response experiments: Fieller, D and A criteria . Scandinvaian Journal of Statistics , 20 : 329 – 341 .
  • Silvey , S. D. 1980 . Optimal Design London : Chapman & Hall .
  • Wu , C. F. J. and Hamada , M. 2000 . Experiments, Planning, Analysis, and Parameter Design Optimization John Wiley & Sons .
  • Wynn , H. P. 1970 . The sequential generation of D-optimal experimental designs . Annals of Mathematical Statistics , 41 : 1655 – 1664 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.