JSM 2004 - Toronto

Abstract #300948

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Activity Number: 337
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #300948
Title: Comparison of Designs Using Change of Variance Functions for Measuring Possible Correlation Effects
Author(s): Yun Shen*+ and Subir Ghosh
Companies: University of California, Riverside and University of California, Riverside
Address: Apt309, 3275 s Sepulveda Blvd, Los Angeles, CA, 90034,
Keywords: correlation ; design ; linear model ; optimality ; ordinary least squares estimator ; precision
Abstract:

Zhou (2001) introduced a change of variance function for a linear function of parameters in the standard linear model when there may be some possible correlation present in observations. In this paper we propose four additional changes of variance functions for the same purpose. The change of variance functions are used for measuring the possible correlation effected in the variance-covariance matrix of the estimated parameters. We also use them for the comparison of designs. We find a design by minimizing one of our proposed changes of variance functions in a simple response surface setup. We then compare its performance with all variance design, all bias design, and the design making the average variance equal to the average squared bias.


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