Orthogonal arrays have played a vital role in improving the quality of products manufactured
throughout the world. This first book on the subject since its introduction more than fifty years …

Orthogonal arrays are used widely in manufacturing and high-technology industries for
quality and productivity improvement experiments. For reasons of run size economy or …

In running a factorial experiment, it may be desirable to use an orthogonal array with
different (mixed) numbers of factor levels. Because of the orthogonality requirement, such …

Orthogonal arrays can be regarded as natural generalizations of orthogonal Latin squares,
and are useful in various problems of experimental design. In this paper the known upper …

Use of asymmetrical orthogonal arrays (OA's) for planning industrial experiments with mixed
levels has become increasingly popular. In addition to applications to experimental …

Publisher Summary This chapter discusses the combinatorial problems of arrays and
applications to design of experiments. The combinatorial arrangements are known as …

This paper introduces, constructs and studies a new class of arrays, called strong orthogonal
arrays, as suitable designs for computer experiments. A strong orthogonal array of strength t …

A methodology for the design of an experiment is proposed in order to find as many
schemes as possible with the maximum number of factors with different levels for the …

This paper studies a relationship between orthogonal arrays and orthogonal
decompositions of projection matrices. This relation is used for the construction of …

It was shown in [11] that one can construct orthogonal arrays (λ 23, k+ 1, 2, 3) from arrays (λ
22, k, 2, 2) with the maximum number of constraints k+ 1 provided that k is the maximum …