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Wanstrom, Linda – Multivariate Behavioral Research, 2009
Second-order latent growth curve models (S. C. Duncan & Duncan, 1996; McArdle, 1988) can be used to study group differences in change in latent constructs. We give exact formulas for the covariance matrix of the parameter estimates and an algebraic expression for the estimation of slope differences. Formulas for calculations of the required sample…
Descriptors: Sample Size, Effect Size, Mathematical Formulas, Computation
A Class of Population Covariance Matrices in the Bootstrap Approach to Covariance Structure Analysis
Yuan, Ke-Hai; Hayashi, Kentaro; Yanagihara, Hirokazu – Multivariate Behavioral Research, 2007
Model evaluation in covariance structure analysis is critical before the results can be trusted. Due to finite sample sizes and unknown distributions of real data, existing conclusions regarding a particular statistic may not be applicable in practice. The bootstrap procedure automatically takes care of the unknown distribution and, for a given…
Descriptors: Multivariate Analysis, Statistical Analysis, Statistical Inference, Matrices
Peer reviewedTakane, Yoshio; Hwang, Heungsun – Multivariate Behavioral Research, 2002
Proposes a method for generalized constrained canonical correlation analysis (GCCANO) that incorporates external information on both rows and columns of data matrices. In this method, each set of variables is first decomposed into the sum of several submatrices according to the external information, and then canonical correlation analysis is…
Descriptors: Correlation, Matrices, Statistical Analysis
Peer reviewedShirkey, Edwin C.; Dziuban, Charles D. – Multivariate Behavioral Research, 1976
Distributional characteristics of the measure of sampling adequacy (MSA) were investigated in sample correlation matrices generated from multivariate normal populations with covariance matrix equal to the identity. Systematic variation of sample size and number of variables resulted in minimal fluctuation of the overall MSA from .50. (Author/RC)
Descriptors: Factor Analysis, Matrices, Sampling, Statistical Analysis
Peer reviewedJoe, George W.; Woodward, J. Arthur – Multivariate Behavioral Research, 1975
Descriptors: Correlation, Matrices, Sampling, Statistical Analysis
Peer reviewedHumphreys, Lloyd G.; Montanelli, Richard G. – Multivariate Behavioral Research, 1975
Descriptors: Correlation, Factor Analysis, Matrices, Sampling
Peer reviewedReynolds, Thomas J. – Multivariate Behavioral Research, 1980
Order analysis, a technique to isolate unidimensional hierarchies representing multidimensional structure of binary data, is reviewed. Several theoretical flaws inherent in the probalistic version are presented. Suggestions of possible directions for future research are offered. (Author)
Descriptors: Factor Analysis, Item Analysis, Matrices, Statistical Analysis
Peer reviewedLevin, Joseph – Multivariate Behavioral Research, 1979
Two applications of Kristof's theorem on traces of matrix products are presented in order to highlight their utility for psychometric theory and studies. (Author/JKS)
Descriptors: Mathematical Models, Matrices, Psychometrics, Statistical Analysis
Peer reviewedDunlap, William P.; Cornwell, John M. – Multivariate Behavioral Research, 1994
The fundamental problems that ipsative measures impose for factor analysis are shown analytically. Normative and ipsative correlation matrices are used to show that the factor pattern induced by ipsativity will overwhelm any factor structure seen with normative factor analysis, making factor analysis not interpretable. (SLD)
Descriptors: Correlation, Factor Analysis, Factor Structure, Matrices
Peer reviewedCattell, Raymond B.; Burdsal, Charles A. – Multivariate Behavioral Research, 1975
Descriptors: Cluster Analysis, Factor Analysis, Factor Structure, Item Analysis
Peer reviewedHakstian, A. Ralph – Multivariate Behavioral Research, 1975
Descriptors: Computer Programs, Factor Analysis, Factor Structure, Matrices
Peer reviewedStewart, Thomas R. – Multivariate Behavioral Research, 1974
Suggests a way of using factor analytic techniques to supplement multidimensional scaling in such a way as to provide a firm basis for evaluating multidimensional representations. (Author/RC)
Descriptors: Evaluation Criteria, Factor Analysis, Matrices, Multidimensional Scaling
Peer reviewedLevin, Joseph – Multivariate Behavioral Research, 1974
Descriptors: Classification, Correlation, Factor Analysis, Mathematical Models
Peer reviewedLee, Howard B.; Comrey, Andrew L. – Multivariate Behavioral Research, 1978
Two proposed methods of factor analyzing a correlation matrix using only the off-diagonal elements are compared. The purpose of these methods is to avoid using the diagonal communality elements which are generally unknown and must be estimated. (Author/JKS)
Descriptors: Comparative Analysis, Correlation, Factor Analysis, Matrices
Peer reviewedConger, Anthony J. – Multivariate Behavioral Research, 1974
Two indices of profile reliability are shown to be equivalent in terms of the individual independent canonical composites; however, because of different weighting procedures, they yield different overall indices of profile reliability. A common formula is provided from which both indices can be derived. (Author)
Descriptors: Analysis of Variance, Correlation, Matrices, Measurement Techniques
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