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Activity Number: 140
Type: Contributed
Date/Time: Monday, August 4, 2008 : 10:30 AM to 12:20 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #301797
Title: A Class of Saturated Square Designs
Author(s): Xianggui Qu*+ and Theophilus Ogunyemi
Companies: Oakland University and Oakland University
Address: 2200 N Squirrel Road, Rochester, MI, 48309,
Keywords: Binary designs ; (m,s)-optimality ; row-column designs ; saturated designs
Abstract:

A new class of square designs is proposed. These designs are saturated in terms of eliminating two-way heterogeneity with an additive model. The (m,s)-criterion is used to select optimal designs. It turns out that all (m,s)-optimal designs are binary. All (m,s)-optimal designs constructed are treatment-connected. Thus, treatment contrasts are estimable in spite of the row and column effects.


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Revised September, 2008