Optimal designs for an interference model

dc.contributor.authorKunert, Joachim
dc.contributor.authorMersmann, Sabine
dc.date.accessioned2009-08-05T09:59:58Z
dc.date.available2009-08-05T09:59:58Z
dc.date.issued2009-08-05T09:59:58Z
dc.description.abstractKunert 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.en
dc.identifier.urihttp://hdl.handle.net/2003/26358
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-504
dc.language.isoende
dc.subjectblock designen
dc.subject.ddc004
dc.titleOptimal designs for an interference modelen
dc.typeTextde
dc.type.publicationtypereporten
dcterms.accessRightsopen access

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