A Generalized Simplex for Factor Analysis  

Oleh:

Guttman, Louis

Jenis: Article from Journal - e-Journal
Dalam koleksi: Psychometrika: A Journal of Quantitative Psychology vol. 20 no. 3 (Sep. 1955), page 173-192.
Topik: Additive Simplex; Parametric Generalization; Factor Analysis; Certain Submatrices; Covariance Matrix; Inverse Matrix
Fulltext: Vol 20 No.3 Sept 1955 p.173-192.pdf (852.45KB)

Isi artikel

By a simplex is meant a set of statistical variables whose interrleations reveal a simple order pattern. For the case of quantitative variables, an order model was analyzed previously which allowed only for positive correlations among the variables and a limited type of gradient among the correlation coefficients. The present paper analyzes a more general model and shows how it is more appropriate to empirical data. Among the novel features emerging from the analysis are: (a) the “factoring” implied of the correlation matrix; (b) the use of a non-Euclidean distance function; and (c) the possible underlying psychological theories.

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