Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/41046
Authors: 
Kunert, Joachim
Mersmann, Sabine
Year of Publication: 
2009
Series/Report no.: 
Technical Report // Sonderforschungsbereich 475, Komplexitätsreduktion in Multivariaten Datenstrukturen, Universität Dortmund 2009,08
Abstract: 
Kunert and Martin (2000) determined optimal and efficient block designs in a model for field trials with interference effects, for block sizes up to 4. In this paper we use Kushner's method (Kushner, 1997) of finding 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 different equivalence classes. We further determine the efficiency of a binary type I orthogonal array under the general p-criterion. We find that these designs achieve high efficiencies of more than 0:94.
Document Type: 
Working Paper

Files in This Item:
File
Size
258.67 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.