On a Connection Between Factor Analysis and Multidimensional Unfolding  

Oleh:

Coombs, Clyde H. ; Kao, Richard C. W.

Jenis: Article from Journal - e-Journal
Dalam koleksi: Psychometrika: A Journal of Quantitative Psychology vol. 25 no. 3 (Sep. 1960), page 219-231.
Topik: Factor Analysis; Multidimensional Unfolding; Imbedding of Genotypic Space into Factor Space; Extra Dimension in the Factor Space;
Fulltext: 2503_1003.pdf (637.91KB)

Isi artikel

Given the preference ordering of each of a number of individuals over a set of stimuli, it is proposed that if the preference orderings are generated in a Euclidean space ofr dimensions which can be recovered by unfolding the preference orderings, then a factor analysis of the correlations between individual's preference orderings will yield a space ofr + 1 dimensions with the originalr-space embedded in it, and the additional dimension will be one of social utility. The proposition is clearly shown to be satisfied by means of the Monte Carlo technique for both random and lattice stimuli in three dimensions and for two other examples with random stimuli in one and two dimensions.

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