In this paper it is shown that the number of latent factors in a multiple multivariate regression model need not be larger than the number of the response variables in order to achieve an optimal prediction. The practical importance of this lemma is outlined and an application of such a...

In this paper it is shown that the number of latent factors in a multiple multivariate regression model need not be larger than the number of the response variables in order to achieve an optimal prediction. The practical importance of this lemma is outlined and an application of such a...

In this study a projection pursuit method is used to explore c <Superscript>d</Superscript> (square) contingency table data. The method operates on projection matrices constructed from the contingency tables using affine geometry and creates projections (or marginals) using a Radon transform. The projection matrices and...</superscript>

An orthogonal array (OA) is said to be a satisfactory orthogonal array if it is impossible to obtain another OA from it by adding one or more columns. By exploring the relationship between OAs and orthogonal decompositions of projection matrices, we present a method of checking a satisfactory OA.