Generalized neighbor designs with block size 3.

*(English)*Zbl 1227.62057Summary: A generalized neighbor design relaxes the equality condition on the number of times two treatments as neighbors in the design. We have considered the construction of some classes of generalized neighbor designs with block size \(k=3\) by using the method of cyclic shifts. The distinguishing feature of this construction method is that the properties of a design can easily be obtained from the sets of shifts instead of constructing the actual blocks of the design. A catalog of generalized neighbor designs with block size \(k=3\) is compiled for \(v\in \{5,6,\ldots ,18\}\) treatments and for different replications. We provide the reader with a simpler method of construction, and in general the catalog that gives an open choice to the experimenter for selecting any class of neighbor designs.

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\textit{I. Iqbal} et al., J. Stat. Plann. Inference 142, No. 3, 626--632 (2012; Zbl 1227.62057)

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