URN |
etd-0714100-120431 |
Author |
Ren-Her Wang |
Author's Email Address |
No Public. |
Statistics |
This thesis had been viewed 5182 times. Download 1616 times. |
Department |
Applied Mathematics |
Year |
1999 |
Semester |
2 |
Degree |
Master |
Type of Document |
|
Language |
English |
Title |
Approximate and exact D-optimal designs for multiresponse polynomial regression models |
Date of Defense |
2000-06-02 |
Page Count |
25 |
Keyword |
exact design
multiple response
D-optimal design
parallel line assay
|
Abstract |
The D-optimal design problems in polynomial regression models with a one-dimensional control variable and k-dimensional response variable Y=(Y_1,...,Y_k) where there are some common unknown parameters are discussed. The approximate D-optimal designs are shown to be independent of the covariance structure between the k responses when the degrees of the k responses are of the same order. Then, the exact n-point D-optimal designs are also discussed. Krafft and Schaefer (1992) and Imhof (2000) are useful in obtaining our results. We extend the proof of symmetric cases for k>= 2. |
Advisory Committee |
- co-chair
- co-chair
- advisor
|
Files |
indicate access worldwide |
Date of Submission |
2000-07-14 |