Title page for etd-0612103-155539


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URN etd-0612103-155539
Author Ya-Hui Chen
Author's Email Address No Public.
Statistics This thesis had been viewed 5062 times. Download 1528 times.
Department Applied Mathematics
Year 2002
Semester 2
Degree Master
Type of Document
Language zh-TW.Big5 Chinese
Title D-optimal designs for linear and quadratic polynomial models
Date of Defense 2002-05-31
Page Count 22
Keyword
  • convex hull
  • D-optimal
  • approximate design
  • polynomial regression
  • exact design
  • simplex
  • Abstract This paper discusses the approximate and the exact n-point D-optimal design problems for the common multivariate linear and quadratic polynomial regression on some convex design spaces. For the linear polynomial regression, the design space considered are q-simplex, q-ball and convex hull of a set of finite points. It is shown that the approximate and the exact n-point
    D-optimal designs are concentrated on the extreme points of the design space. The structure of the optimal designs on regular polygons or regular polyhedra is also discussed. For the
    quadratic polynomial regression, the design space considered is a q-ball. The configuration of the approximate and the exact n-point D-optimal designs for quadratic model in two variables
    on a disk are investigated.
    Advisory Committee
  • Mong-Na Lo Huang - chair
  • Chin-San Lee - co-chair
  • Fu-Chuen Chang - advisor
  • Files
  • etd-0612103-155539.pdf
  • indicate access worldwide
    Date of Submission 2003-06-12

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