Listy Biometryczne - Biometrical Letters vol. 42(2), 2005, pp. 133-142


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E-OPTIMAL DESIGNS UNDER AN INTERFERENCE MODEL

Katarzyna Filipiak1, Rafał Różański2

1Department of Mathematical and Statistical Methods, Agricultural University of Poznań,
Wojska Polskiego 28, 60-637 Poznań, kasfil@au.poznan.pl
2Institute of Management and Finance, The State Vocational School of Higher Education,
Teatralna 25, 66-400 Gorzów Wlkp., rozraf@poczta.onet.pl


In this paper, experiments with the same number of treatments, blocks and plots are considered. It is assumed that the response to a treatment is affected by other treatments, and so the model of the experiment is an interference model with neighbor effects. The aim of this paper is to identify the structure of the left-neighbor matrix of E-optimal design and to give the method of construction of such design.


Complete block design; interference model; information matrix; E-optimality