Open AccessSOME RELATIONS BETWEEN GUTTMAN'S PRINCIPAL COMPONENTS OF SCALE ANALYSIS AND OTHER PSYCHOMETRIC THEORY
Author(s) -
Lord Frederic M.
Publication year - 1957
Publication title -
ets research bulletin series
Language(s) - English
Resource type - Journals
eISSN - 2333-8504
pISSN - 0424-6144
DOI - 10.1002/j.2333-8504.1957.tb00073.x
Subject(s) - guttman scale , principal component analysis , weighting , statistics , factor analysis , mathematics , reliability (semiconductor) , factor (programming language) , scale (ratio) , principal (computer security) , item analysis , psychology , psychometrics , computer science , geography , medicine , power (physics) , physics , quantum mechanics , radiology , programming language , operating system , cartography
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.