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Peer reviewedten Berge, Jos M. F. – Psychometrika, 1988
A summary and a unified treatment of fully general computational solutions for two criteria for transforming two or more matrices to maximal agreement are provided. The two criteria--Maxdiff and Maxbet--have applications in the rotation of factor loading or configuration matrices to maximal agreement and the canonical correlation problem. (SLD)
Descriptors: Correlation, Equations (Mathematics), Mathematical Models, Matrices
Hwang, Heungsun; Takane, Yoshio – Psychometrika, 2004
A multivariate reduced-rank growth curve model is proposed that extends the univariate reduced rank growth curve model to the multivariate case, in which several response variables are measured over multiple time points. The proposed model allows us to investigate the relationships among a number of response variables in a more parsimonious way…
Descriptors: Multivariate Analysis, Mathematical Models, Psychometrics, Matrices
Peer reviewedGoldstein, Harvey; McDonald, Roderick P. – Psychometrika, 1988
A general model is developed for the analysis of multivariate multilevel data structures. Special cases of this model include: repeated measures designs; multiple matrix samples; multilevel latent variable models; multiple time series and variance and covariance component models. (Author)
Descriptors: Equations (Mathematics), Mathematical Models, Matrices, Multivariate Analysis
Peer reviewedBentler, P. N.; Freeman, Edward H. – Psychometrika, 1983
Interpretations regarding the effects of exogenous and endogenous variables on endogenous variables in linear structural equation systems depend upon the convergence of a matrix power series. The test for convergence developed by Joreskog and Sorbom is shown to be only sufficient, not necessary and sufficient. (Author/JKS)
Descriptors: Data Analysis, Mathematical Models, Matrices, Multiple Regression Analysis
Peer reviewedHarrop, John W.; Velicer, Wayne F. – Multivariate Behavioral Research, 1985
Computer generated data representative of 16 Auto Regressive Integrated Moving Averages (ARIMA) models were used to compare the results of interrupted time-series analysis using: (1) the known model identification, (2) an assumed (l,0,0) model, and (3) an assumed (3,0,0) model as an approximation to the General Transformation approach. (Author/BW)
Descriptors: Computer Simulation, Data Analysis, Mathematical Models, Matrices
Peer reviewedBoik, Robert J. – Psychometrika, 1988
Both doubly multivariate and multivariate mixed models of analyzing repeated measures on multivariate responses are reviewed. Given multivariate normality, a condition called multivariate sphericity of the covariance matrix is both necessary and sufficient for the validity of the multivariate mixed model analysis. (SLD)
Descriptors: Analysis of Covariance, Equations (Mathematics), Mathematical Models, Matrices
Peer reviewedter Braak, Cajo J. F. – Psychometrika, 1990
Canonical weights and structure correlations are used to construct low dimensional views of the relationships between two sets of variables. These views, in the form of biplots, display familiar statistics: correlations between pairs of variables, and regression coefficients. (SLD)
Descriptors: Correlation, Data Interpretation, Equations (Mathematics), Factor Analysis
Carlson, James E.; Timm, Neil H. – 1980
This paper presents two extensions of the full-rank multivariate linear model that are particularly useful in multivariate analysis of covariance (MANCOVA) and repeated measurements designs. After a review of the basic full-rank model, an extension is described which allows restrictions of a more general nature. This model is useful in the…
Descriptors: Analysis of Covariance, Data Analysis, Hypothesis Testing, Mathematical Formulas
Peer reviewedSpiegel, Douglas K. – Multivariate Behavioral Research, 1986
Tau, Lambda, and Kappa are measures developed for the analysis of discrete multivariate data of the type represented by stimulus response confusion matrices. The accuracy with which they may be estimated from small sample confusion matrices is investigated by Monte Carlo methods. (Author/LMO)
Descriptors: Mathematical Models, Matrices, Monte Carlo Methods, Multivariate Analysis
Kirisci, Levent; Hsu, Tse-Chi – 1993
Most of the multivariate statistical techniques rely on the assumption of multivariate normality. The effects of non-normality on multivariate tests are assumed to be negligible when variance-covariance matrices and sample sizes are equal. Therefore, in practice, investigators do not usually attempt to remove non-normality. In this simulation…
Descriptors: Computer Simulation, Equations (Mathematics), Mathematical Models, Matrices
Peer reviewedStelzl, Ingeborg – Multivariate Behavioral Research, 1986
Since computer programs have been available for estimating and testing linear causal models, these models have been used increasingly in the behavioral sciences. This paper discusses the problem that very different causal structures may fit the same set of data equally well. (Author/LMO)
Descriptors: Computer Software, Correlation, Goodness of Fit, Mathematical Models
Peer reviewedGardner, William – Psychometrika, 1990
This paper provides a method for analyzing data consisting of event sequences and covariate observations associated with Markov chains. The objective is to use the covariate data to explain differences between individuals in the transition probability matrices characterizing their sequential data. (TJH)
Descriptors: Cognitive Development, Equations (Mathematics), Estimation (Mathematics), Individual Differences

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