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Theory & Methods: On the Construction of Nearest–Neighbour Balanced Row–Column Designs

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  • Barbara S.P. Chan
  • J.A. Eccleston

Abstract

Nearest–neighbour balance is considered a desirable property for an experiment to possess in situations where experimental units are influenced by their neighbours. This paper introduces a measure of the degree of nearest–neighbour balance of a design. The measure is used in an algorithm which generates nearest–neighbour balanced designs and is readily modified to obtain designs with various types of nearest–neighbour balance. Nearest–neighbour balanced designs are produced for a wide class of parameter settings, and in particular for those settings for which such designs cannot be found by existing direct combinatorial methods. In addition, designs with unequal row and column sizes, and designs with border plots are constructed using the approach presented here.

Suggested Citation

  • Barbara S.P. Chan & J.A. Eccleston, 2003. "Theory & Methods: On the Construction of Nearest–Neighbour Balanced Row–Column Designs," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 45(1), pages 97-106, March.
  • Handle: RePEc:bla:anzsta:v:45:y:2003:i:1:p:97-106
    DOI: 10.1111/1467-842X.00263
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