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Gati, Itamar – Educational and Psychological Measurement, 1981
This paper examines the properties of the Item Efficiency Index proposed by Neill and Jackson (1976; EJ 137 077) for minimum redundancy item analysis. (Author/BW)
Descriptors: Correlation, Factor Structure, Item Analysis, Mathematical Models

Sachar, Jane – Journal of Experimental Education, 1980
The partial correlation coefficient is derived analytically under exemplary factor patterns. In these patterns, variables are described as an additive composition of a set of orthogonal factors, including general, common, and specific factors. Viewed in this framework, it is evident that the partial correlation may yield spurious results.…
Descriptors: Correlation, Factor Analysis, Factor Structure, Mathematical Models
Thorndike, Robert M. – 1971
To study the applicability of simple structure logic for factorial data from scientific disciplines outside psychology, four correlation matrices from each of six scientific areas were factor analyzed by five factoring methods. Resulting factor matrices were compared on two objective criteria of simple structure before and after rotation.…
Descriptors: Correlation, Criteria, Factor Analysis, Factor Structure
Joreskog, Karl G.; Van Thillo, Marielle – 1971
A new basic algorithm is discussed that may be used to do factor analysis by any of these three methods: (1) unweighted least squares, (2) generalized least squares, or (3) maximum likelihood. (CK)
Descriptors: Algorithms, Computer Programs, Correlation, Expectation

Cotter, Kay Lillig; Raju, Nambury S. – Educational and Psychological Measurement, 1982
Eight formula-based estimates of population squared cross-validity and nine estimates of factor scores were compared with estimates from the conventional cross-validation procedure. Burket's and Rozeboom's formula-based estimates of population squared cross-validity in combination with a factor score method offer the most for practitioners…
Descriptors: Adults, Attitude Measures, Correlation, Estimation (Mathematics)
Werts, Charles E.; And Others – 1971
A variety of path models involving unmeasured variables are formulated in terms of Joreskog's general model for the analysis of covariance structures. (Author)
Descriptors: Analysis of Covariance, Correlation, Factor Analysis, Factor Structure

Lohnes, Paul R. – American Educational Research Journal, 1979
Factorial modeling is justified as a method for analyzing correlations in support of causal inference. The method is illustrated and compared to path analysis, LISREL-type analysis, canonical correlation, and commonality analysis. Predictions of impacts of policy manipulations are demonstrated. (Author/CP)
Descriptors: Algorithms, Correlation, Educational Research, Factor Structure

De Ayala, R. J.; Hertzog, Melody A. – Multivariate Behavioral Research, 1991
Multidimensional scaling (MDS) and exploratory and confirmatory factor analyses were compared in the assessment of the dimensionality of data sets, using sets generated to be one-dimensional or two-dimensional and differing in degree of interdimensional correlation and number of items defining a dimension. (SLD)
Descriptors: Comparative Analysis, Correlation, Equations (Mathematics), Factor Structure

Borg, Ingwer; Staufenbiel, Thomas – Multivariate Behavioral Research, 1992
The representation of multivariate data by icons is discussed. The factorial sun is suggested as superior to the commonly used snowflake or sun icons and as better representing the values of the different variables and their correlational structure. Two experiments with 60 college students demonstrate the factorial sun's superiority. (SLD)
Descriptors: College Students, Comparative Analysis, Computer Oriented Programs, Correlation

Buja, Andreas; Eyuboglu, Nermin – Multivariate Behavioral Research, 1992
Use of parallel analysis (PA), a selection rule for the number-of-factors problem, is investigated from the viewpoint of permutation assessment through a Monte Carlo simulation. Results reveal advantages and limitations of PA. Tables of sample eigenvalues are included. (SLD)
Descriptors: Computer Simulation, Correlation, Factor Structure, Mathematical Models
Joreskog, Karl G.; Goldberger, Arthur S. – 1971
Aitkin's generalized least squares (GLS) principle, with the inverse of the observed variance-covariance matrix as a weight matrix, is applied to estimate the factor analysis model in the exploratory (unrestricted) case. It is shown that the GLS estimates are scale free and asymptotically efficient. The estimates are computed by a rapidly…
Descriptors: Correlation, Factor Analysis, Factor Structure, Goodness of Fit
Werts, Charles E.; And Others – 1971
The logical structure of the Campbell and Fiske multitrait-multimethod approach is applied to the problem of studying growth and its determinants. The resulting model is a special case of Joreskog's general model for the analysis of covariance structures. The relationships of traditional psychometric formulations to this model are detailed.…
Descriptors: Analysis of Covariance, Analysis of Variance, Correlation, Factor Analysis
Mislevy, Robert J. – 1985
This paper reviews recent work in factor analysis of categorical variables. Emphasis is on the generalized least squares solution. A section on maximum likelihood solution focuses on extensions of the classical model, especially the normal case. Many of the recent developments have taken place within this context, and it provides a unified…
Descriptors: Correlation, Estimation (Mathematics), Factor Analysis, Factor Structure
McKinley, Robert L.; Reckase, Mark D. – 1984
To assess the effects of correlated abilities on test characteristics, and to explore the effects of correlated abilities on the use of a multidimensional item response theory model which does not explicitly account for such a correlation, two tests were constructed. One had two relatively unidimensional subsets of items, the other had all…
Descriptors: Ability, Correlation, Factor Structure, Item Analysis
Lietz, Petra H.; Roche, Lawrence A. – 1996
This study investigates whether or not the factor structure of reading comprehension is invariant across large, nationally representative samples of 14-year-old students from four different countries. The data from French-speaking Belgium, Hungary, Italy, and the United States were collected as part of the Reading Literacy Study of 1990-91,…
Descriptors: Adolescents, Correlation, Databases, Factor Analysis
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