JSM 2004 - Toronto

Abstract #300880

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Activity Number: 337
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #300880
Title: Optimal Main Effect Plus Plans for 2^m Factorial Experiments
Author(s): Ying Tian*+ and Subir Ghosh
Companies: University of California, Riverside and University of California, Riverside
Address: 3473 Avocado Street, Riverside, CA, 92507,
Keywords: fractional factorial plans ; estimation capacity ; optimal designs ; search designs
Abstract:

In main effect plans for 2^m factorial experiments, we assume that the factors do not interact with each other. Such an assumption may or may not be true in practice. We present optimal plans that can not only estimate the general mean and main effects but also estimate all sets of k two-factor interactions for some practical values of k, m, and the number of runs (n). For even values of k, our plans are search designs in searching for (k/2) nonzero two-factor interactions from the set of all two-factor interactions and then estimating them with the general mean and the main effects.

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