The Relation Between Results Obtainable with Raw and Corrected Correlation Coefficients in Multiple Factor Analysis
- 1 March 1937
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 2 (1) , 35-39
- https://doi.org/10.1007/bf02287964
Abstract
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.Keywords
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