caa a22 4500 475793285 CHVBK 20180406123716.0 cr unu---uuuuu 170329e20001001xx s 000 0 eng 10.1007/s001840000063 doi (NATIONALLICENCE)springer-10.1007/s001840000063 On the analysis of multivariate growth curves [Elektronische Daten] [Tapio Nummi, Jyrki Möttönen] Abstract.: Growth curve data arise when repeated measurements are observed on a number of individuals with an ordered dimension for occasions. Such data appear frequently in almost all fields in which statistical models are used, for instance in medicine, agriculture and engineering. In medicine, for example, more than one variable is often measured on each occasion. However, analyses are usually based on exploration of repeated measurements of only one variable. The consequence is that the information contained in the between-variables correlation structure will be discarded.  In this study we propose a multivariate model based on the random coefficient regression model for the analysis of growth curve data. Closed-form expressions for the model parameters are derived under the maximum likelihood (ML) and the restricted maximum likelihood (REML) framework. It is shown that in certain situations estimated variances of growth curve parameters are greater for REML. Also a method is proposed for testing general linear hypotheses. One numerical example is provided to illustrate the methods discussed. Springer-Verlag Berlin Heidelberg, 2000 Key words: Maximum likelihood, mixed model, random coefficient regression, restricted maximum likelihood nationallicence Nummi Tapio Department of Mathematics, Statistics and Philosophy, FIN-33014 University of Tampere, Finland (e-mail: tan@uta.fi), FI aut Möttönen Jyrki Signal Processing Laboratory, Tampere University of Technology, P.O. Box 553, FIN-33101 Tampere, Finland (e-mail: mottonen@cs.tut.fi), FI aut https://doi.org/10.1007/s001840000063 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001840000063 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nummi Tapio Department of Mathematics, Statistics and Philosophy, FIN-33014 University of Tampere, Finland (e-mail: tan@uta.fi), FI aut NATIONALLICENCE 700 1- Möttönen Jyrki Signal Processing Laboratory, Tampere University of Technology, P.O. Box 553, FIN-33101 Tampere, Finland (e-mail: mottonen@cs.tut.fi), FI aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer