Title page for etd-0714100-120431


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URN etd-0714100-120431
Author Ren-Her Wang
Author's Email Address No Public.
Statistics This thesis had been viewed 5064 times. Download 1590 times.
Department Applied Mathematics
Year 1999
Semester 2
Degree Master
Type of Document
Language English
Title Approximate and exact D-optimal designs for multiresponse polynomial regression models
Date of Defense 2000-06-02
Page Count 25
Keyword
  • exact design
  • multiple response
  • D-optimal design
  • parallel line assay
  • Abstract The D-optimal design problems in polynomial regression models with a
    one-dimensional control variable and k-dimensional response variable
    Y=(Y_1,...,Y_k) where there are some common unknown parameters are discussed.
    The approximate D-optimal designs are shown to be independent of the
    covariance structure between the k responses when the degrees of the k responses
    are of the same order. Then, the exact n-point D-optimal designs are also discussed.
    Krafft and Schaefer (1992) and Imhof (2000) are useful in obtaining our results.
    We extend the proof of symmetric cases for k>= 2.
    Advisory Committee
  • - co-chair
  • - co-chair
  • - advisor
  • Files
  • VUONP8JI.pdf
  • indicate access worldwide
    Date of Submission 2000-07-14

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