A comparison of design and model selection methods for supersaturated experiments


Marley, Christopher J. and Woods, David C. (2009) A comparison of design and model selection methods for supersaturated experiments. Southampton, UK, Southampton Statistical Sciences Research Institute, 22pp. (S3RI Methodology Working Papers, (M09/20) ). (Submitted)

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Description/Abstract

Various design and model selection methods are available for supersatu-
rated designs having more factors than runs but little research is available on
their comparison and evaluation. In this paper, simulated experiments are
used to evaluate the use of E(s2)-optimal and Bayesian D-optimal designs,
and to compare three analysis strategies representing regression, shrinkage
and a novel model-averaging procedure. Suggestions are made for choosing
the values of the tuning constants for each approach. Findings include that
(i) the preferred analysis is via shrinkage; (ii) designs with similar numbers
of runs and factors can be effective for a considerable number of active effects
of only moderate size; and (iii) unbalanced designs can perform well. Some
comments are made on the performance of the design and analysis methods
when effect sparsity does not hold

Item Type: Monograph (Working Paper)
Subjects: H Social Sciences > HA Statistics
Divisions: University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
ePrint ID: 69458
Date Deposited: 17 Nov 2009
Last Modified: 27 Mar 2014 18:49
Publisher: Southampton Statistical Sciences Research Institute
URI: http://eprints.soton.ac.uk/id/eprint/69458

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