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Biometrika Advance Access originally published online on October 3, 2009
Biometrika 2009 96(4):945-956; doi:10.1093/biomet/asp044
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© 2009 Biometrika Trust

Article

Sliced space-filling designs

Peter Z. G. Qian

Department of Statistics, University of Wisconsin-Madison, Wisconsin 53706, U.S.A. peterq{at}stat.wisc.edu

C. F. Jeff Wu

H. Milton Stewart School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332, U.S.A. jeffwu{at}isye.gatech.edu

Received for publication 1 June 2008. Revision received 1 March 2009.
  Abstract

We propose an approach to constructing a new type of design, a sliced space-filling design, intended for computer experiments with qualitative and quantitative factors. The approach starts with constructing a Latin hypercube design based on a special orthogonal array for the quantitative factors and then partitions the design into groups corresponding to different level combinations of the qualitative factors. The points in each group have good space-filling properties. Some illustrative examples are given.

Key Words: Bush’s construction • Computer experiment • Design of experiment • Difference matrix • Rao–Hamming construction


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