Abstract
Given an asymmetric matrix whose entry describes relation between a pair of objects, skew-symmetry analysis (SSA) performs singular value decomposition of the skew-symmetric matrix constructed from the original matrix and then displays the asymmetric relationship in a space spanned by singular vectors. There are certain difficulties of interpretation in the usual applications of SSA. To cope with them, this paper suggests a procedure which utilizes both the coefficient of consistence and dominance matrix for SSA. It serves to detect ordinal structure inherent in the data matrix of asymmetric relations. Illustlative examples are presented by applying the procedure to two sets of data, one is concerned with vertical mobility of occupations and the other with confusion among Morse code signals.
