Universally optimal designs under mixed interference models with and without block effects

Katarzyna Filipiak () and Augustyn Markiewicz
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Katarzyna Filipiak: Poznań University of Technology
Augustyn Markiewicz: Poznań University of Life Sciences

Metrika: International Journal for Theoretical and Applied Statistics, 2017, vol. 80, issue 6, No 11, 789-804

Abstract: Abstract The literature on neighbor designs as introduced by Rees (Biometrics 23:779–791, 1967) is mainly devoted to construction methods, providing few results on their statistical properties, such as efficiency and optimality. A review of the available literature, with special emphasis on the optimality of neighbor designs under various fixed effects interference models, is given in Filipiak and Markiewicz (Commun Stat Theory Methods 46:1127–1143, 2017). The aim of this paper is to verify whether the designs presented by Filipiak and Markiewicz (2017) as universally optimal under fixed interference models are still universally optimal under models with random interference effects. Moreover, it is shown that for a specified covariance matrix of random interference effects, a universally optimal design under mixed interference models with block effects is universally optimal over a wider class of designs. In this paper the method presented by Filipiak and Markiewicz (Metrika 65:369–386, 2007) is extended and then applied to mixed interference models without or with block effects.

Keywords: Universal optimality; Mixed interference model; Neighbor design; 62K05; 62K10 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00184-017-0628-x

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