Title page for etd-0217103-215035


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URN etd-0217103-215035
Author Ying-Ying Chen
Author's Email Address m8924603@student.nsysu.edu.tw
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Department Applied Mathematics
Year 2002
Semester 1
Degree Master
Type of Document
Language English
Title C-optimal designs for polynomial regression without intercept.
Date of Defense 2002-06-07
Page Count 31
Keyword
  • individual regression coecient.
  • Elfving Theorem
  • c-optimal design
  • Abstract In this work, we investigate c-optimal design for polynomial regression model without
    intercept. Huang and Chen (1996) showed that the c-optimal design for the dth degree
    polynomial with intercept is still the optimal design for the no-intercept model for estimating
    certain individual coe cients over [−1, 1]. We found the c-optimal designs explicitly for
    estimating other individual coe cients over [−1, 1], which have not been obtained earlier.
    For the no-intercept model, it is shown that the support points are scale invariant over
    [−b, b]. Finally some special cases are discussed for estimating the coe cients of the 2nd
    degree polynomial without intercept by Elfving theorem over nonsymmetric interval [a, b].
    Advisory Committee
  • Fu-Chuen Chang - chair
  • Mei-Hui Guo - co-chair
  • Mong-Na Lo Huang - advisor
  • Files
  • etd-0217103-215035.pdf
  • indicate access worldwide
    Date of Submission 2003-02-17

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