|Author's Email Address
||This thesis had been viewed 5243 times. Download 1633 times.|
|Type of Document
||Approximate and exact D-optimal designs for multiresponse polynomial regression models|
|Date of Defense
parallel line assay
||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.
|| - co-chair|
indicate access worldwide|
|Date of Submission