JSM 2005 - Toronto

Abstract #302844

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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 - #302844
Title: Statistical Properties of Rechtschaffner Designs
Author(s): Xianggui Qu*+
Companies: Oakland University
Address: Dept of Math and Statistics, Rochester, MI, 48309, United States
Keywords: Rechtschaffner designs ; resolution V ; nonorthogonal design
Abstract:

Rechtschaffner designs are saturated designs of resolution V in which main effects and two-factor interactions are estimable if three-factor or higher order interactions are negligible. Statistical properties of Rechtschaffner designs will be studied in this talk. Best linear unbiased estimators of main effects and two-factor interactions are given explicitly, and asymptotic properties of correlations between these estimators are studied as well. It is shown that designs recommended by Rechtschaffner (1967) are not only A-optimal but also D-optimal. Comparisons of Rechtschaffner designs with other A- and D-optimal designs of resolution V also will be discussed.

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Revised March 2005