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Bentler, Peter M.; Molenaar, Peter C. M. – Multivariate Behavioral Research, 2012
Molenaar (2003, 2011) showed that a common factor model could be transformed into an equivalent model without factors, involving only observed variables and residual errors. He called this invertible transformation the Houdini transformation. His derivation involved concepts from time series and state space theory. This article verifies the…
Descriptors: Structural Equation Models, Algebra, Statistical Analysis, Models
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Rovine, Michael J.; Molenaar, Peter C. M. – Multivariate Behavioral Research, 2000
Presents a method for estimating the random coefficients model using covariance structure modeling and allowing one to estimate both fixed and random effects. The method is applied to real and simulated data, including marriage data from J. Belsky and M. Rovine (1990). (SLD)
Descriptors: Estimation (Mathematics), Mathematical Models
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Rovine, Michael J.; Molenaar, Peter C. M. – Multivariate Behavioral Research, 2005
In this article we show the one-factor model can be rewritten as a quasi-simplex model. Using this result along with addition theorems from time series analysis, we describe a common general model, the nonstationary autoregressive moving average (NARMA) model, that includes as a special case, any latent variable model with continuous indicators…
Descriptors: Revision (Written Composition), Genetics, Structural Equation Models
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Huizenga, Hilde M.; Molenaar, Peter C. M. – Multivariate Behavioral Research, 1994
The source of an event-related brain potential (ERP) is estimated from multivariate measures of ERP on the head under several mathematical and physical constraints on the parameters of the source model. Statistical aspects of estimation are discussed, and new tests are proposed. (SLD)
Descriptors: Estimation (Mathematics), Evaluation Methods, Models, Multivariate Analysis