Construction of marginally and conditionally restricted designs using multiplicative algorithms

Authors:
R. Martín-Martín;B. Torsney;J. López-Fidalgo
Affiliations:
Department of Mathematics, University of Castilla-La Mancha, Avda. Camilo José Cela 3, 13071 Ciudad Real, Spain;Department of Statistics, University of Glasgow, UK;Department of Mathematics, University of Castilla-La Mancha, Avda. Camilo José Cela 3, 13071 Ciudad Real, Spain
Venue:
Computational Statistics & Data Analysis
Year:
2007

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Abstract

The problem of constructing optimal designs when some of the factors are not under the control of the experimenters is considered. Their values can be known or unknown before the experiment is carried out. Several criteria are taken into consideration to find optimal conditional designs given some prior information on the factors. In order to determine these optimal conditional designs a class of multiplicative algorithms is provided. Optimal designs are computed for illustrative, but simplistic, examples. Two real life problems in production models and a physical test for predicting morbidity in lung cancer surgery motivate the procedures provided.