JSM 2005 - Toronto

Abstract #303764

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 28
Type: Contributed
Date/Time: Sunday, August 7, 2005 : 2:00 PM to 3:50 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #303764
Title: Average Correlations in Projections Designs with Quantitative Factors
Author(s): Cheryl Dingus*+ and Angela Dean
Companies: The Ohio State University and The Ohio State University
Address: 5435 Bradshaw Street, Canal Winchester, OH, 43110, United States
Keywords: Projection Designs ; Quantitative Factors
Abstract:

Orthogonal arrays are used as screening designs to identify active main effects, after which the properties of the subdesign for estimating these effects and possibly their interactions becomes important. The subdesign consisting of the columns of the orthogonal array corresponding to the active factors is known as a projection design. Two projection designs are said to be isomorphic or geometrically equivalent if one can be obtained from the other by a sequence of row and column permutations and order-preserving permutations of symbols in each column. In this talk, we present a criterion for evaluating nonisomorphic projection designs. The proposed criterion is an extension of average squared correlations for qualitative factors. For quantitative factor arrays, the criterion is based on squared correlations of orthonormal contrasts, averaged in smaller, predefined groups. Examples will demonstrate the capability of the criterion to distinguish and rank order projections from three-level orthogonal arrays with quantitative factors.

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Revised March 2005