Optimal designs for an interference model
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Date
2009-08-05T09:59:58Z
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Abstract
Kunert and Martin (2000) determined optimal and efficient block designs in a
model for fi eld trials with interference effects, for block sizes up to 4. In this paper we use Kushner's method (Kushner, 1997) of fi nding optimal approximate designs
to extend the work of Kunert and Martin (2000) to optimal designs with five or
more plots per block. We give an overall upper bound a_(t,b,k) for the trace of the
information matrix of any design and show that an universally optimal approximate
design will have all its sequences from merely four di fferent equivalence classes. We
further determine the efficiency of a binary type I orthogonal array under the general
phi_p-criterion. We find that these designs achieve high efficiencies of more than 0.94.
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block design