Statistica Sinica 9(1999), 595-604

ORTHOGONAL ARRAYS OBTAINED BY ORTHOGONAL

DECOMPOSITION OF PROJECTION MATRICES

Zhang Yingshan* , Lu Yiqiang and Pang Shanqi*

* Henan Normal University and PLA's College of Electrionic Technology

Abstract: This paper studies a relationship between orthogonal arrays and orthogonal decompositions of projection matrices. This relation is used for the construction of orthogonal arrays. As an application of the method, some new mixed-level orthogonal arrays of run size 36 are constructed.

Key words and phrases: Kronecker product, mixed-level orthogonal array, permutation matrix, projection matrix.