27
Views
14
CrossRef citations to date
0
Altmetric
Original Articles

A-optimal design matrices X=(xij)N×n with xij=−1,0,1Footnote

Pages 23-46 | Accepted 10 May 1983, Published online: 30 May 2007

References

  • Cheng , C. S. 1978 . Optimality of certain asymmetrical experimental designs . Ann.Statist. , 6 : 1239 – 1261 .
  • Cheng , C. S. 1980 . Optimality of some weighing and 2n fractional factorial designs . Ann. Statist. , 8 : 436 – 446 .
  • Cheng , C. S. , Masaro , J. C. and Wong , C. S. Optimal weighing designs submitted
  • Ehlich , H. 1964 . Determinantenabschätzungen fur binäre Matrizen . Math. Zeitschr. , 83 : 123 – 132 .
  • Fan , K. 1954 . Inequalities for eigenvalues of hermitian matrices . National Bus. Standards Appl. Math. Ser. , 39 : 131 – 139 .
  • Galil , Z. and Kiefer , J. 1980 . D-optimum weighing designs . Ann. Statist. , 8 : 1293 – 1306 .
  • Hedayat , A. and Wallis , W. D. 1978 . Hadamard matrices and their applications . Ann.Statist. , 6 : 1184 – 1238 .
  • Jacroux , M. , Wong , C. S. and Masaro , J. C. 1978 . On the optimality of chemical balance weighing designs . To be published in the Journal of Statistical Planning and Inference , 6
  • Kiefer , J. 1974 . General equivalence theory for optimum design (approximate theory) . Ann. Statist , 2 : 849 – 874 .
  • Marshall , A. W. and Olkin , J. 1979 . "Inequalities: Theory of majorization and its applications" , New York : Academic Press .

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:

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:

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.