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Peer reviewedLoehlin, John C. – Multivariate Behavioral Research, 1987
Scores were obtained on 31 item-clusters from the California Psychological Inventory for 490 identical and 317 same-sex fraternal twin pairs from the National Merit twin sample. Ordinary and cross-pair correlations were calculated and used to derive three matrices hypothesized to reflect the influence of genes, shared environment, and unshared…
Descriptors: Correlation, Environmental Influences, Factor Analysis, Heredity
Peer reviewedBekker, Paul A.; de Leeuw, Jan – Psychometrika, 1987
Psychometricians working in factor analysis and econometricians working in regression with measurement error in all variables are both interested in the rank of dispersion matrices under variation of diagonal elements. This paper reviews both fields; points out various small errors; and presents a methodological comparision of factor analysis and…
Descriptors: Error of Measurement, Factor Analysis, Literature Reviews, Mathematical Models
Peer reviewedNoma, Elliot – Journal of the American Society for Information Science, 1984
Argues that co-citation methods combine citing behavior of authors by assuming they share common view of scientific literature which affects assessments of dimensionality and clustering of articles. Co-citation matrices, effects of shared point-of-view assumption, and co-citation compared with bibliographic coupling and centroid scaling are…
Descriptors: Bibliographic Coupling, Citations (References), Cluster Analysis, Cluster Grouping
Peer reviewedBrokken, Frank B. – Psychometrika, 1983
Procedures for assessing the invariance of factors across data sets often use the least squares criterion, which appears to be too restrictive. Tucker's coefficient of congruence is proposed as an alternative. A method that maximizes the sum of the coefficients of congruence between two matrices of loadings is presented. (Author/JKS)
Descriptors: Factor Analysis, Factor Structure, Goodness of Fit, Least Squares Statistics
Peer reviewedLomax, Richard G.; Algina, James – Journal of Educational Measurement, 1979
Results of using multimethod factor analysis and exploratory factor analysis for the analysis of three multitrait-multimethod matrices are compared. Results suggest that the two methods can give quite different impressions of discriminant validity. In the examples considered, the former procedure tends to support discrimination while the latter…
Descriptors: Comparative Analysis, Factor Analysis, Goodness of Fit, Matrices
Peer reviewedWerts, C. E.; And Others – Multivariate Behavioral Research, 1980
This paper demonstrates how the problem of calibrating measures can be formulated in terms of confirmatory factor analysis. The relationships between traditional approaches and a confirmatory factor approach are specified. (Author/CTM)
Descriptors: Achievement Tests, Equated Scores, Factor Analysis, Intermediate Grades
Peer reviewedPham, Tuan Dinh; Mocks, Joachim – Psychometrika, 1992
Sufficient conditions are derived for the consistency and asymptotic normality of the least squares estimator of a trilinear decomposition model for multiway data analysis. The limiting covariance matrix is computed. (Author/SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Factor Analysis, Least Squares Statistics
Finch, Holmes – Journal of Educational Measurement, 2006
Nonlinear factor analysis is a tool commonly used by measurement specialists to identify both the presence and nature of multidimensionality in a set of test items, an important issue given that standard Item Response Theory models assume a unidimensional latent structure. Results from most factor-analytic algorithms include loading matrices,…
Descriptors: Test Items, Simulation, Factor Structure, Factor Analysis
Peer reviewedKaufman, Alan S. – Educational and Psychological Measurement, 1975
Overall findings were interpreted from a developmental perspective, and the data were shown to offer evidence for the contruct validity of the MSCA. (Author/RC)
Descriptors: Children, Factor Analysis, Factor Structure, Intelligence Tests
Peer reviewedHakstian, A. Ralph – Multivariate Behavioral Research, 1975
Outlined is a model for transformation of one factor matrix to congruence with a second or target matrix in which the correlations among the transformed factors are constrained to certain pre-specified values. Procedures are developed for implementing the model, and are illustrated with example factor solutions. (Author/RC)
Descriptors: Correlation, Factor Analysis, Goodness of Fit, Matrices
Winn, William – 1976
New ways of using factor analysis in research designs are suggested in this paper that would allow research to move in new directions that are being suggested for educational technology. A brief simplified overview of factor-analytic techniques is given, followed by a description of some recent developments in factor-analytic techniques which make…
Descriptors: Educational Technology, Factor Analysis, Factor Structure, Matrices
Cohen, Arie; Farley, Frank H. – 1974
Procedures for analyzing common item effects on interscale structure were reviewed and a study using smallest space analysis of the California Psychological Inventory (CPI) reported. Solutions of three matrices--intercorrelation matrix of the original CPI scales, of reduced scales (with common items removed), and of the number of common…
Descriptors: Comparative Analysis, Correlation, Factor Analysis, Factor Structure
Dziuban, Charles D.; Shirkey, Edwin C. – 1973
Three techniques for assessing the adequacy of correlation matrices for factor analysis were applied to four examples from the literature. The methods compared were: (1) inspection of the off diagonal elements of the anti-image covariance matrix S(to the 2nd) R(to the -1) and S(to the 2nd); (2) the Measure of Sampling Adequacy (M.S.A.), and (3)…
Descriptors: Analysis of Covariance, Correlation, Factor Analysis, Item Sampling
Peer reviewedHakstian, Ralph A.; Skakun, Ernest N. – Multivariate Behavioral Research, 1976
Populations of factorially simple and complex data were generated with first the oblique and orthogonal factor models, and then solutions based on special cases of the general orthomax criterion were compared on the basis of these characteristics. The results are discussed and implications noted. (DEP)
Descriptors: Comparative Analysis, Factor Analysis, Mathematical Models, Matrices
Peer reviewedCarroll, Robert M. – Educational and Psychological Measurement, 1976
Examines the similarity between the coordinates which resulted when correlations were used as similarity measures and the factor loadings obtained by factor analyzing the same correlation matrix. Real data, a set of error free data, and some computer generated data containing deliberately introduced sampling error are analyzed. (RC)
Descriptors: Comparative Analysis, Correlation, Data Analysis, Factor Analysis

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