Title page for etd-0705106-133145


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URN etd-0705106-133145
Author Shian-Chung Wu
Author's Email Address No Public.
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Department Applied Mathematics
Year 2005
Semester 2
Degree Master
Type of Document
Language English
Title Exact D-optimal designs for mixture experiments in Scheffe's quadratic models
Date of Defense 2006-06-15
Page Count 26
Keyword
  • Scheffe’s quadratic models
  • information matrix
  • orthonormal polynomial
  • D-optimal design
  • exact D-optimal
  • Abstract The exact D-optimal design problems for regression models has been in-vestigated in many literatures. Huang (1987) and Gaffke (1987) provided
    a sufficient condition for the minimum sample size for an certain set of
    candidate designs to be exact D-optimal for polynomial regression models
    on a compact interval. In this work we consider a mixture experiment with
    q nonnegative components, where the proportions of components are sub-
    ject to the simplex restriction $sum_{i=1}^q x_i =1$, $x_i ≧ 0$. The exact D-optimal designs for mixture experiments for Scheffe’s quadratic models are investigated. Based on results in Kiefer (1961) results about the exact D-optimal designs for mixture models with two or three ingredients are provided and numerical verifications for models with ingredients between four and nine are presented.
    Advisory Committee
  • Fu-Chuen Chang - chair
  • Ray-Bing Chen - co-chair
  • Kam-Fai Wong - co-chair
  • Mong-Na Lo Huang - advisor
  • Files
  • etd-0705106-133145.pdf
  • indicate in-campus access only
    Date of Submission 2006-07-05

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