Abstract

Unfolding according to the fourth quantification method is proposed.A nonmetric unfolding method may produce a degenerate configuration, but the unfolding method proposed in this paper generates a configuration that roughly shows the dominant tendency in the data. Two applications of the method to real data are shown. One analyzed semantic differential data for colors(Oyama et al., 1963), and the other analyzed rating data for harmony between colors and words(Okamoto, 1995).Both analyses resulted in configurations with meaningful interpretations. The relation of the proposed method to the third quantification method was noted. Other successful unfolding methods, which use penalty functions or the like, are recommended when monotonicity between data and distance is crucial for the user. If such monotonicity is not crucial, then the unfolding method according to the fourth quantification method is useful.

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