Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1149982 | Journal of Statistical Planning and Inference | 2011 | 10 Pages |
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. The present paper uses Kushner's (1997) method 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 aât,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 a general Φpâcriterion. We find that these designs achieve high efficiencies of more than 0.94.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Joachim Kunert, Sabine Mersmann,