Statistics Seminar:: Geometric Isomorphism and Minimum Aberration for Factorial Designs with Quantitative Factors

GUEST LECTURER
Dr. Shao-Wei Cheng

AFFILIATION
Institute of Statistical Science, Academia Sinica, Taiwan

ABSTRACT
Factorial designs have broad applications in agriculture, engineering and scientific studies. In constructing and studying properties of factorial designs, traditional design theory treats all factors as nominal. However, this is not appropriate for experiments that involve quantitative factors. For designs with quantitative factors, level permutation of one or more factors in a design matrix could result in different geometric structures, and, thus, different design properties. In this paper indicator functions are introduced to represent factorial designs. A polynomial form of indicator functions is used to characterize the geometric structure of those designs. Geometric isomorphism is defined for classifying designs with quantitative factors. Based on indicator functions, a new aberration criteria is proposed and some minimum aberration designs are presented. (This talk is based on a joint work with Kenny Q. Ye, Albert Einstein College of Medicine)

DATE & TIME
Wednesday, October 20, 2004 -- 1:00 PM

DURATION
1 hour

LOCATION
228 ISyE Main Building

CONTACT PERSON
roshan@isye.gatech.edu