Approximate and exact D-optimal designs for multiresponse polynomial regression models
碩士 === 國立中山大學 === 應用數學系研究所 === 88 === 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...
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| Format: | Others |
| Language: | en_US |
| Published: |
2000
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| Online Access: | http://ndltd.ncl.edu.tw/handle/63391587914649949411 |
| Summary: | 碩士 === 國立中山大學 === 應用數學系研究所 === 88 === 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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