| URN |
etd-0714100-120431 |
|---|
| Author |
Ren-Her Wang |
|---|
| Author's Email Address |
No Public. |
|---|
| Statistics |
This thesis had been viewed 5243 times. Download 1633 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 |
|---|
