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Boker, Steven M.; McArdle, J. J.; Neale, Michael – Structural Equation Modeling, 2002
Presents an algorithm for the production of a graphical diagram from a matrix formula in such a way that its components are logically and hierarchically arranged. The algorithm, which relies on the matrix equations of J. McArdle and R. McDonald (1984), calculates the individual path components of expected covariance between variables and…
Descriptors: Algorithms, Feedback, Matrices
Peer reviewed Peer reviewed
Raykov, Tenko; Marcoulides, George A.; Boyd, Jeremy – Structural Equation Modeling, 2003
Illustrates how commonly available structural equation modeling programs can be used to conduct some basic matrix manipulations and generate multivariate normal data with given means and positive definite covariance matrix. Demonstrates the outlined procedure. (SLD)
Descriptors: Data Analysis, Matrices, Simulation, Structural Equation Models
Peer reviewed Peer reviewed
Rovine, Michael J.; Molenaar, Peter C. M. – Structural Equation Modeling, 1998
Presents a LISREL model for the estimation of the repeated measures analysis of variance (ANOVA) with a patterned covariance matrix. The model is demonstrated for a 5 x 2 (Time x Group) ANOVA in which the data are assumed to be serially correlated. Similarities with the Statistical Analysis System PROC MIXED model are discussed. (SLD)
Descriptors: Analysis of Covariance, Correlation, Estimation (Mathematics), Mathematical Models
Peer reviewed Peer reviewed
Dolan, Conor; Bechger, Timo; Molenaar, Peter – Structural Equation Modeling, 1999
Considers models incorporating principal components from the perspectives of structural-equation modeling. These models include the following: (1) the principal-component analysis of patterned matrices; (2) multiple analysis of variance based on principal components; and (3) multigroup principal-components analysis. Discusses fitting these models…
Descriptors: Computer Software, Factor Analysis, Goodness of Fit, Matrices