Universally optimal balanced block designs for interference model

Akram Fakhari-Esferizi () and Saeid Pooladsaz ()
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Akram Fakhari-Esferizi: Isfahan University of Technology
Saeid Pooladsaz: Isfahan University of Technology

Metrika: International Journal for Theoretical and Applied Statistics, 2022, vol. 85, issue 8, No 5, 1049-1061

Abstract: Abstract The interference model has been widely used and studied in block designs where the treatment in a particular plot effects on ones in its neighbor plots. There are many experiments specially in agricultre that block size (k) is greater than the number of treatment (t). If $$k>t$$ k > t , the universally optimal designs under the interference models are usually difficult to obtain. In this paper, we consider an interference model with equal left- and right-neighbor effects for uncorrelated errors when $$k>t$$ k > t . Based on Kushner’s method, we obtain the universally optimal designs on the class of circular block designs. We also present some methods to construct these designs. Then, we generalize our results for one-sided interference models.

Keywords: Interference model; Circular block designs; Neighbor balanced designs; Universally optimal designs; Mutually orthogonal latin squares (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:metrik:v:85:y:2022:i:8:d:10.1007_s00184-022-00870-5

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DOI: 10.1007/s00184-022-00870-5

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