| URN |
etd-0714100-120431 |
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| Author |
Ren-Her Wang |
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| Author's Email Address |
No Public. |
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| Statistics |
This thesis had been viewed 5182 times. Download 1616 times. |
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| Department |
Applied Mathematics |
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| Year |
1999 |
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| Semester |
2 |
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| Degree |
Master |
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| Type of Document |
|
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| Language |
English |
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| Title |
Approximate and exact D-optimal designs for multiresponse polynomial regression models |
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| Date of Defense |
2000-06-02 |
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| Page Count |
25 |
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| Keyword |
exact design
multiple response
D-optimal design
parallel line assay
|
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| 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. |
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| Advisory Committee |
- co-chair
- co-chair
- advisor
|
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| Files |
indicate access worldwide |
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| Date of Submission |
2000-07-14 |
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