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].
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0217103-215035 |
| Date | 17 February 2003 |
| Creators | Chen, Ying-Ying |
| Contributors | Mong-Na Lo Huang, Fu-Chuen Chang, Mei-Hui Guo |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0217103-215035 |
| Rights | unrestricted, Copyright information available at source archive |
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