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.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0612103-155539 |
| Date | 12 June 2003 |
| Creators | Chen, Ya-Hui |
| Contributors | Mong-Na Lo Huang, Fu-Chuen Chang, Chin-San Lee |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | Cholon |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0612103-155539 |
| Rights | unrestricted, Copyright information available at source archive |
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