Nearly orthogonal arrays mappable into fully orthogonal arrays

Rahul Mukerjee, Fasheng Sun and Boxin Tang

Biometrika, 2014, vol. 101, issue 4, 957-963

Abstract: We develop a method for construction of arrays which are nearly orthogonal, in the sense that each column is orthogonal to a large proportion of the other columns, and which are convertible to fully orthogonal arrays via a mapping of the symbols in each column to a possibly smaller set of symbols. These arrays can be useful in computer experiments as designs which accommodate a large number of factors and enjoy attractive space-filling properties. Our construction allows both the mappable nearly orthogonal array and the consequent fully orthogonal array to be either symmetric or asymmetric. Resolvable orthogonal arrays play a key role in the construction.

Date: 2014
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