论文信息 - Polygonal Designs with Block Size 3 and Single Distance ABSTRACT

Polygonal Designs with Block Size 3 and Single Distance ABSTRACT | FULL TEXT

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.

M. H. Tahir | Javid Shabbir | Ijaz Iqbal

[1] Mary C. Christman. Efficiency of some sampling designs for spatially clustered populations , 1997 .

[2] A family of distance balanced sampling plans , 2009 .

[3] A. S. Hedayat,et al. 24 Designs in survey sampling avoiding contiguous units , 1988 .

[4] Jing Zhang,et al. The spectrum of cyclic BSEC with block size three , 2005, Discret. Math..

[5] M. H. Tahir,et al. Generalized polygonal designs with block size 3 and λ = 1 , 2009 .

[6] John Stufken,et al. Polygonal designs with blocks of size k≤10 , 2001 .

[7] Sung Y. Song,et al. Relative efficienctes of sampling plans for selecting a small number of units from a rectangular region , 2000 .

[8] Ruizhong Wei. Cyclic BSEC of block size 3 , 2002, Discret. Math..

[9] Joohyung Kim,et al. Some existence and construction results of polygonal designs , 2008, Eur. J. Comb..

[10] A. S. Hedayat,et al. Sampling plans excluding contiguous units , 1988 .

[11] Alfred Stein. Spatially constrained sampling , 2013 .

[12] Kenneth R. Driessel,et al. Polygonal designs : some existence and non-existence results , 1999 .

[13] Charles J. Colbourn,et al. A class of partial triple systems with applications in survey sampling , 1998 .

[14] John Stufken,et al. On a class of partially balanced incomplete block designs with applications in survey sampling , 1997 .