Estimation and testing of simplex models
01 Nov 1970-British Journal of Mathematical and Statistical Psychology (Blackwell Publishing Ltd)-Vol. 23, Iss: 2, pp 121-145
TL;DR: In this paper, various statistical models for simplex structures are formulated in terms of the well-known Wiener and Markov stochastic processes, and a distinction is made between a perfect simplex and a quasi-simplex.
Abstract: Various statistical models for simplex structures are formulated in terms of the well-known Wiener and Markov stochastic processes. A distinction is made between a perfect simplex and a quasi-simplex. For each model the problems of identification and estimation of the parameters and that of testing the goodness of fit of the model are considered. All models may be estimated by a general method for covariance structures developed by Joreskog (1970), but in some cases simpler methods may be used, in which case these are presented.
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TL;DR: In this paper, a statistical model containing individual parameters and a structure on both the first and second moments of the random variables reflecting growth is presented as a method for representing development, and a numerical illustration using data initially collected by Nesselroade and Baltes is presented.
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864 citations
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703 citations
Cites methods from "Estimation and testing of simplex m..."
...First, a simplex model for the observed math performance variables was tested to examine the stability of math performance and changes in its variance over time (Jöreskog, 1970)....
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01 Jan 1988
TL;DR: The authors examined multivariate psychological change data using the 20th century developments of latent variable structural equation modeling, and used this dynamic equation, but here they also used this simple dynamic equation to examine multivariate psychology change data.
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643 citations