IJPAM: Volume 39, No. 1 (2007)

D-OPTIMAL DESIGN WITH RANDOM BLOCK EFFECTS
IN HETEROSCEDASTIC MODELS

Qiang Guo$^1$, Jian-Guo Liu$^2$, Da-Tian Niu$^3$
$^{1,3}$School of Science
Dalian Nationalities University
Dalian, 116600, P.R. CHINA
$^2$Institute of System Engineering
Dalian University of Technology
Dalian, 116024, P.R. CHINA
e-mail: liujg004@yahoo.com.cn


Abstract.D-optimal regression designs under random block effects in heteroscedastic models are considered. After taking the homeomorphism transformation to the trace function, we give the condition to check the D-optimality of the design and the equation system of the positions and the powers of the design points. Finally, we give the numerical results and the efficiency analysis.

Received: April 25, 2007

AMS Subject Classification: 65Y05, 65Y10, 49J35, 90C25, 90C30, 68W10, 68W25

Key Words and Phrases: D-optimal, approximate design, information matrix, heteroscedastic

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 39
Issue: 1