Covariance pattern mixture models for the analysis of multivariate heterogeneous longitudinal data
By Laura Anderlucci, Cinzia Viroli. 2014
62 citations recorded by the source corpus.
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.
Subfields: Artificial Intelligence, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/0a064e30981389f60a748a52628cf443a32eedca
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
In Statistics and Probability
Citations in the corpus
- Model-Based Clustering (2016, methodology): “…framework; these models, together with the CDGMM family, are available in the longclust package (McNicholas, Jampani, and Subedi 2015) for R. Anderlucci and Viroli (2015) extend the methodology of McNicholas and Murphy (2010a) to the situation where there are multiple responses for each…”