Far East Journal of Theoretical Statistics
Volume 21, Issue 1, Pages 39 - 55
(January 2007)
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ON THE ORTHOGONAL PROJECTION MATRICES AND RELATED DIFFERENCE
MATRICES AND ORTHOGONAL ARRAYS
Pang Shanqi (P. R. China), Yan Rong (P. R. China) and Guo Xuebin (P. R. China)
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Abstract: Zhang et al. [7] introduced a powerful method for constructing
mixed orthogonal arrays. But it is difficult and skillful to use. The main
problems are how to decompose a projection matrix, and how to find small
orthogonal arrays for each small projection matrix in the decomposition. This
paper presents several classes of orthogonal projection matrices and related
difference matrices and orthogonal arrays of strength two. These projection
matrices and orthogonal arrays make the method by Zhang et al. [7] with more
flexibility and further solve the above problems. |
Keywords and phrases: Keywords and phrases: orthogonal array, orthogonal projection
matrix, matrix image. |
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