Two-dimensional balanced sampling plans avoiding adjacent units
Xiaomiao Wang, Tao Feng, Jing Zhang, Yan Xu
TL;DR
This paper explores advanced two-dimensional balanced sampling plans that avoid adjacent units, expanding on previous work by classifying three types based on adjacency schemes and providing detailed design theory insights.
Contribution
It offers a detailed theoretical framework for three types of 2-BSAs, enhancing understanding of their design principles and adjacency avoidance strategies.
Findings
Classifies three types of 2-BSAs based on adjacency schemes
Provides detailed design theory for each type
Extends previous preliminary investigations
Abstract
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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Taxonomy
Topicsgraph theory and CDMA systems · Optimal Experimental Design Methods · Computational Geometry and Mesh Generation