The Relation Between Results Obtainable with Raw and Corrected Correlation Coefficients in Multiple Factor Analysis  

Oleh:

Roff, Merrill

Jenis: Article from Journal - e-Journal
Dalam koleksi: Psychometrika: A Journal of Quantitative Psychology vol. 2 no. 1 (Mar. 1937), page 35-39.
Topik: Results Obtainable with Raw; Correlation Coefficients; Factor Analysis
Fulltext: The Relation Between Results Obtainable with Raw and Corrected Correlation Coefficients in Multiple Factor Analysis.pdf (203.87KB)

Isi artikel

This paper presents three theorems concerning the relation between results with obtained and corrected correlation coefficients in the Thurstone method of multiple factor analysis. (1) The rank of the correlational matrix, and thus the number of factors involved, is unaffected by correcting the obtained coefficients for attenuation. (2) The communality of a variable when the obtained coefficients have been corrected for attenuation is equal to the communality with obtained coefficients divided by the reliability coefficient of the variable. (3) The relationship is shown between the factorial matrix of a correlational matrix of raw correlation coefficients and the factorial matrix of a correlational matrix of corrected correlation coefficients, and a method of obtaining either of these factorial matrices from the other is indicated.

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