Title of article :
POLYGONAL DESIGNS WITH BLOCK SIZE 3 AND SINGLE DISTANCE
Author/Authors :
Tahir, M.H. Islamia University of Bahawalpur, Baghdad Campus - Department of Statistics, Pakistan , Iqbal, Ijaz Bahauddin Zakariya University Multan - Department of Statistics, Pakistan , Shabbir, Javid Quaid-i-Azam University - Department of Statistics, Pakistan
Abstract :
Polygonal designs, a class of partially balanced incomplete block designs 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 Є {9, 10, . . . , 100} treatments is compiled.
Keywords :
Cyclic BSEC , Cyclic polygonal design , Cyclic shifts , Distance between the units , Single distance , PBIBD.
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics