Open Access
June 2015 Covariance pattern mixture models for the analysis of multivariate heterogeneous longitudinal data
Laura Anderlucci, Cinzia Viroli
Ann. Appl. Stat. 9(2): 777-800 (June 2015). DOI: 10.1214/15-AOAS816


We propose a novel approach for modeling multivariate longitudinal data in the presence of unobserved heterogeneity for the analysis of the Health and Retirement Study (HRS) data. Our proposal can be cast within the framework of linear mixed models with discrete individual random intercepts; however, differently from the standard formulation, the proposed Covariance Pattern Mixture Model (CPMM) does not require the usual local independence assumption. The model is thus able to simultaneously model the heterogeneity, the association among the responses and the temporal dependence structure.

We focus on the investigation of temporal patterns related to the cognitive functioning in retired American respondents. In particular, we aim to understand whether it can be affected by some individual socio-economical characteristics and whether it is possible to identify some homogenous groups of respondents that share a similar cognitive profile. An accurate description of the detected groups allows government policy interventions to be opportunely addressed.

Results identify three homogenous clusters of individuals with specific cognitive functioning, consistent with the class conditional distribution of the covariates. The flexibility of CPMM allows for a different contribution of each regressor on the responses according to group membership. In so doing, the identified groups receive a global and accurate phenomenological characterization.


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Laura Anderlucci. Cinzia Viroli. "Covariance pattern mixture models for the analysis of multivariate heterogeneous longitudinal data." Ann. Appl. Stat. 9 (2) 777 - 800, June 2015.


Received: 1 January 2015; Revised: 1 February 2015; Published: June 2015
First available in Project Euclid: 20 July 2015

zbMATH: 06499930
MathSciNet: MR3371335
Digital Object Identifier: 10.1214/15-AOAS816

Keywords: Mixture models , random effects model , temporal dependence

Rights: Copyright © 2015 Institute of Mathematical Statistics

Vol.9 • No. 2 • June 2015
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