The exact D-optimal design problems for regression models has been in-vestigated in many literatures. Huang (1987) and Gaffke (1987) provided
a sufficient condition for the minimum sample size for an certain set of
candidate designs to be exact D-optimal for polynomial regression models
on a compact interval. In this work we consider a mixture experiment with
q nonnegative components, where the proportions of components are sub-
ject to the simplex restriction $sum_{i=1}^q x_i =1$, $x_i ¡Ù 0$. The exact D-optimal designs for mixture experiments for Scheffe¡¦s quadratic models are investigated. Based on results in Kiefer (1961) results about the exact D-optimal designs for mixture models with two or three ingredients are provided and numerical verifications for models with ingredients between four and nine are presented.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0705106-133145 |
| Date | 05 July 2006 |
| Creators | Wu, Shian-Chung |
| Contributors | Fu-Chuen Chang, Mong-Na Lo Huang, Ray-Bing Chen, Kam-Fai Wong |
| 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-0705106-133145 |
| Rights | restricted, Copyright information available at source archive |
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