|Author's Email Address
||This thesis had been viewed 5064 times. Download 1557 times.|
|Type of Document
||C-optimal designs for polynomial regression without intercept.|
|Date of Defense
||individual regression coecient.
||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].
||Fu-Chuen Chang - chair|
Mei-Hui Guo - co-chair
Mong-Na Lo Huang - advisor
indicate access worldwide|
|Date of Submission