Title page for etd-0629100-152851


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URN etd-0629100-152851
Author Hsin-Her Chen
Author's Email Address No Public.
Statistics This thesis had been viewed 5099 times. Download 1735 times.
Department Applied Mathematics
Year 1999
Semester 2
Degree Master
Type of Document
Language English
Title Exact D-optimal designs for multiresponse polynomial model
Date of Defense 2000-05-26
Page Count 14
Keyword
  • multiresponse
  • efficiency of designs
  • exact design
  • polynomial regression
  • D-optimal design
  • Abstract Consider the multiresponse polynomial regression model with one control variable and arbitrary covariance matrix among responses. The present results complement solutions by Krafft and Schaefer (1992) and Imhof (2000), who obtained the n-point D-optimal designs for the multiresponse regression model with one linear and one quadratic. We will show that the D-optimal design is invariant under linear transformation of the control variable.
    Moreover, the most cases of the exact D-optimal designs on [-1,1] for responses consisting of linear and quadratic polynomials only are derived. The efficiency of the exact D-optimal designs for the univariate quadratic model to that for the above model are also discussed. Some conjectures based on intensively numerical results are also included.
    Advisory Committee
  • Mong-Na Lo Huang - co-chair
  • Mei-Hui Guo - co-chair
  • Fu-Chuen Chang - advisor
  • Files
  • 陳欣和.pdf
  • indicate access worldwide
    Date of Submission 2000-06-29

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