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Generalized neighbor designs with block size 3. (English) Zbl 1227.62057
Summary: 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.

MSC:
62K10 Statistical block designs
62Q05 Statistical tables
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