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arxiv: 1406.0220 · v1 · pith:S7Y64YXQnew · submitted 2014-06-02 · 🧮 math.CO

Two-dimensional balanced sampling plans avoiding adjacent units

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keywords balancedbsasplanssamplingunitsadjacentavoidingthree
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Hedayat et al. first introduced balanced sampling plans for the exclusion of contiguous units. Wright detailed the results of a preliminary investigation of two-dimensional balanced sampling plans avoiding adjacent units (2-BSAs), and pointed out explicitly three types of 2-BSAs, which have different adjacency scheme, namely "Row and Column", "Sharing a Border" and "Island". This paper will provide more details for the three types of 2-BSAs from the point of view of design theory.

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