Polygonal designs with block size 3 and single distance

Abstract

Polygonal designs, a class of partially balanced incomplete block de- signs with regular polygons, are useful in survey sampling in terms of balanced sampling plans excluding contiguous units (BSECs) when neighboring units in a population provide similar information. In this paper, the method of cyclic shifts is used to construct cyclic polygonal designs (in terms of BSECs) with block size k = 3 for single distance, and a complete solution for v ∈ {9, 10, . . . , 100} treatments is compiled.