Abstract
This paper is concerned with a methodological study of Hayashi’s eej-type quantification method (EQ) and development of a new method (PAMSE) of multidimensional scaling (MDS). First we propose procedures to compare EQ with other methods of MDS in terms of the separation of eigenvalues. Secondly we examine a problem of the fit and dimensionality and point out a peculiar property inherent to EQ. Third we propose a new method of MDS, which is developed from EQ, intended principally for dissimilarity data measured on the medium level between ordinal and interval scale levels. Our method is conceptually similar to but fundamentally different from Johnson’s in that our index of fit is specially formulated in view of the scale level. The method has been found to work successfully, giving a high degree of the rank correlation between the dissimilarities and the derived distances.
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