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Peer reviewedHarper, Dean – Psychometrika, 1972
A procedure is outlined showing how the axiom of local independence for latent structure models can be weakened. (CK)
Descriptors: Algorithms, Factor Analysis, Factor Structure, Mathematical Applications
Download full textDARROCH, JOHN N. – 1966
TO DEVELOP A BETTER MATHEMATICAL BASIS FOR FACTOR ANALYSIS, A MATHEMATICAL APPROACH WAS FORMULATED FOR FIXING COMMUNALITIES AND THEIR COMPLEMENTS, UNIQUENESSES, AS WELL. WHILE THE INVESTIGATOR WAS UNABLE TO PROVE THAT MINIMUM-TRACE CRITERIA FIX COMMUNALITIES UNIQUELY, A SET OF IDENTITIES AND INEQUALITIES WAS LOCATED AMONG THE COMMUNALITIES AND,…
Descriptors: Computation, Educational Research, Factor Analysis, Mathematical Applications
Calkins, Dick S.; Jennings, Earl
The mathematical derivation of the statistics used for inference in some linear models assumes that values of the independent variables are pre-selected such that these variables can be treated as fixed rather than random variables. This assumption is often disregarded when these models are utilized in research. This study is an investigation of…
Descriptors: Analysis of Covariance, Factor Analysis, Linear Programing, Mathematical Applications
Peer reviewedBloxom, Bruce – Psychometrika, 1972
Special cases of the factor analysis model are developed for four selection situations. Methods are suggested whereby parameters in each case can be estimated using a maximum likelihood procedure recently developed by Joreskog. (Author)
Descriptors: Data Analysis, Factor Analysis, Hypothesis Testing, Mathematical Applications
Young, Forrest W. – 1969
A model permitting construction of algorithms for the polynomial conjoint analysis of similarities is presented. This model, which is based on concepts used in nonmetric scaling, permits one to obtain the best approximate solution. The concepts used to construct nonmetric scaling algorithms are reviewed. Finally, examples of algorithmic models for…
Descriptors: Algorithms, Conceptual Schemes, Factor Analysis, Mathematical Applications
Joreskog, Karl G. – 1970
This paper is concerned with the study of similarities and differences in factor structures between different groups. A common situation is when a battery of tests has been administered to samples of examinees from several populations. A very general model is presented, in which any parameter in the factor analysis models (factor loadings, factor…
Descriptors: Factor Analysis, Factor Structure, Goodness of Fit, Hypothesis Testing
PDF pending restorationHofmann, Richard J. – 1971
The primary objectives of this paper are pedagogical: to provide a reliable semi-subjective transformation procedure that might be used without difficulty by beginning students in factor analysis; to clarify and extend the existing knowledge of oblique transformations in general; and to provide a brief but meaningful explication of the general…
Descriptors: Discriminant Analysis, Factor Analysis, Mathematical Applications, Mathematical Models
