Optimal designs for dual response polynomial regression models

In this paper, the D- and D s -optimal design problems in linear regression models with a one-dimensional control variable and a k-dimensional response variable are considered. The response variables are correlated with a known covariance matrix. Some of the D- and D s -optimal designs with polynomi...

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Bibliographic Details
Published in:Journal of statistical planning and inference 2001-02, Vol.93 (1), p.309-322
Main Authors: Chang, Fu-Chuen, Lo Huang, Mong-Na, K.J. Lin, Dennis, Yang, Huie-Ching
Format: Article
Language:English
Subjects:
Correlated observations
Dual response model
Equivalence theorem
Exact sciences and technology
Experimental design
Linear inference, regression
Mathematics
Polynomial regression
Probability and statistics
Sciences and techniques of general use
Statistics
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Summary:In this paper, the D- and D s -optimal design problems in linear regression models with a one-dimensional control variable and a k-dimensional response variable are considered. The response variables are correlated with a known covariance matrix. Some of the D- and D s -optimal designs with polynomial models for k=2 are found explicitly. It is noted that the number of support points for the D- and D s -optimal designs highly depend on the correlation between the two response variables except on some special cases.
ISSN:0378-3758
1873-1171
DOI:10.1016/S0378-3758(00)00162-2