Optimality of block designs under the model with the first-order circular autoregression

Katarzyna Filipiak (), Razieh Khodsiani () and Augustyn Markiewicz ()
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Katarzyna Filipiak: Poznań University of Technology
Razieh Khodsiani: Isfahan University of Technology
Augustyn Markiewicz: Poznań University of Life Sciences

Statistical Papers, 2019, vol. 60, issue 2, No 6, 427-447

Abstract: Abstract In this paper optimal properties of some circular balanced block designs under the model with circular autoregression of order one are studied. Universal optimality of some balanced block designs with equal block sizes is proven and E-optimality of complete balanced block designs with the number of blocks equal to the number of treatments or the number of treatments reduced by two is shown.

Keywords: Circular autoregression of order one; Circular balanced block design; Universal optimality; E-optimality; Nondirectionally neighbor balanced design (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s00362-018-01077-5

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