Dynamic analysis of multivariate panel data with nonlinear transformations

C.A.G.M. van Montfort, C.C.J.H. Bijleveld

Research output: Contribution to JournalArticleAcademicpeer-review


Many models for multivariate data analysis can be seen as special cases of the linear dynamic or state space model. Contrary to the classical approach to linear dynamic systems analysis, in which high-dimensional exact solutions are sought, the model presented here is developed from a social science framework where low-dimensional approximate solutions are preferred. Borrowing concepts from the theory on mixture distributions, the linear dynamic model can be viewed as a multi-layered regression model, in which the output variables are imprecise manifestations of an unobserved continuous process. An additional layer of mixing makes it possible to incorporate non-normal as well as ordinal variables. Using the EM-algorithm, we find estimates of the unknown model parameters, simultaneously providing stability estimates. The model is very general and cannot be well estimated by other estimation methods. We illustrate the applicability of the obtained procedure through an example with generated data. © 2004 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)322-333
Number of pages12
JournalJournal of Mathematical Psychology
Issue number5
Early online date12 Oct 2004
Publication statusPublished - Oct 2004


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