JSM 2004 Online Program

Abstract #300695

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Activity Number:	432
Type:	Contributed
Date/Time:	Thursday, August 12, 2004 : 10:30 AM to 12:20 PM
Sponsor:	Section on Physical and Engineering Sciences
Abstract - #300695
Title:	A Classification of Two-level Designs
Author(s):	Tena I. Katsaounis*+
Companies:	Ohio State University
Address:	, Columbus, OH, 44907,
Keywords:	factorial design ; orthogonal array ; balanced array ; irregular design ; information matrix ; similarity measure
Abstract:	The combinatorial properties of a design govern its statistical properties. This talk will examine a method of classifying designs into the well known-classes of orthogonal, partially balanced, PB1, and extended PB1 arrays.The classification method is based on the concept of index sets that characterize the combinatorial structure. A further concept of minimal representation will be introduced as a way to classify designs uniquely. Applications of index sets are discussed for the calculation of the elements of the information matrix and of similarity of designs.

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