On Estimation in Some Reduced Rank Extended Growth Curve Models

Abstract

The general multivariate analysis of variance model has been extensively studied in the statistical literature and successfully applied in many different fields for analyzing longitudinal data. In this article, we consider the extension of this model having two sets of regressors constituting a growth curve portion and a multivariate analysis of variance portion, respectively. Nowadays, the data collected in empirical studies have relatively complex structures though often demanding a parsimonious modeling. This can be achieved for example through imposing rank constraints on the regression coefficient matrices. The reduced rank regression structure also provides a theoretical interpretation in terms of latent variables. We derive likelihood based estimators for the mean parameters and covariance matrix in this type of models. A numerical example is provided to illustrate the obtained results.

Keywords

growth curve model; maximum likelihood estimator; multivariate analysis of variance; reduced rank model

Published in

Mathematical Methods of Statistics
2017, Volume: 26, number: 4, pages: 299-310 Publisher: PLEIADES PUBLISHING INC

SLU Authors

• von Rosen, Dietrich

  • Department of Energy and Technology, Swedish University of Agricultural Sciences
    

UKÄ Subject classification

Probability Theory and Statistics


Publication identifier

DOI: https://doi.org/10.3103/S1066530717040044

Permanent link to this page (URI)

https://res.slu.se/id/publ/105579