This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 678
Type: Contributed
Date/Time: Thursday, August 5, 2010 : 10:30 AM to 12:20 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #307229
Title: Maximin Model-Robust Designs for Split Plot Experiments
Author(s): Byran Jay Smucker*+ and Enrique Del Castillo and James Rosenberger
Companies: Penn State and Penn State and Penn State
Address: , State College, PA, 16803,
Keywords: split plot ; model-robust ; D-optimal ; maximin ; exchange algorithm ; exact design
Abstract:

Split-plot experiments are appropriate when some factors are difficult or expensive to change relative to others. Two levels of randomization are required which induces an error structure rendering OLS analysis inappropriate in general. The design of such experiments has garnered attention recently, and has spawned work in D-optimal designs for split-plot experiments. However, these procedures rely on the assumption that the form of the model relating the factors to the response is known in advance. In this work, we relax that assumption by allowing the experimenter to specify a set of model forms, and use a maximin criterion to produce designs that have high D-efficiencies for each of the models in the set. Furthermore, a generalization allows the experimenter to exert some control over the efficiencies by specifying a level of interest in each model.


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