Some Relations Between Guttman's Principal Components of Scale Analysis and Other Psychometric Theory

Author(s):

Lord, Frederic M.

Publication Year:

1957

Report Number:

RB-57-07

Source:

ETS Research Bulletin

Document Type:

Report

Page Count:

13

Subject/Key Words:

Dichotomous Variables, Factor Analysis, Guttman Weighting Procedure, Item Analysis, Test Theory, Weighted Scores

Abstract

Guttman's principal components for the weighting system are the item scoring weights that maximize the generalized Kuder-Richardson reliability coefficient. In the case of dichotomous items, the principal component for any item is effectively the same as the factor loading of the item divided by the item standard deviation, the factor loadings being obtained from an ordinary factor analysis of the item intercorrelation matrix.

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• http://dx.doi.org/10.1002/j.2333-8504.1957.tb00073.x