Optimality of circular equineighbored block designs under correlated observations

Razieh Khodsiani () and Saeid Pooladsaz ()
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Razieh Khodsiani: K. N. Toosi University of Technology
Saeid Pooladsaz: Isfahan University of Technology

Statistical Papers, 2022, vol. 63, issue 6, No 2, 1743-1755

Abstract: Abstract In some experiments each observation is correlated to the observations in its neighborhoods. The circulant correlation is a structure with this situation for circular block designs. The main aim of this paper is to study optimal properties of some circular block designs under the model with circulant correlation. Also, we introduce circular equineighbored designs (CEDs) and show that, under circulant correlation, some CEDs are universally optimal over the class of generalized binary block designs. Some methods of construction these optimal designs with various number of treatments and block sizes are presented.

Keywords: Circular block design; Balanced block design; Universal optimality; Circulant correlation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s00362-022-01287-y

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