Balanced sampling plans excluding contiguous units can be used for survey sampling.In this paper,using the tool of cyclic difference matrix,recursive constructions are established for cyclic balanced sampling plans excluding contiguous units(CBSEC)with block size 4.With the applications of recursive constructions and direct constructions based on computer search,some existence results on CBSEC(v,4,4)s either with the same two half orbits or with four quarter orbits are presented.A new construction for CBSEC(v,k,λ)s with k ∈ {3,4,5} is also given via perfect difference families.
关键词
平衡样本设计/循环BSEC/区组轨道/差阵/完美差族
Key words
balanced sampling plan/cyclic BSEC/block orbit/difference matrix/perfect difference family