Title
Bayesian model-based clustering for longitudinal ordinal data
Date Issued
01 September 2019
Access level
open access
Resource Type
journal article
Author(s)
University of Queensland
Publisher(s)
Springer Verlag
Abstract
Traditional cluster analysis methods used in ordinal data, for instance k-means and hierarchical clustering, are mostly heuristic and lack statistical inference tools to compare among competing models. To address this we propose a latent transitional model, a finite mixture model that includes both observed and latent covariates and apply it for the first time to the case of longitudinal ordinal data. This model-based clustering model is an extension of the proportional odds model and includes a first-order transitional term, occasion effects and interactions which provide flexible ways to capture different time patterns by cluster as well as time-heterogeneous transitions. We estimate model parameters within a Bayesian setting using a Markov chain Monte Carlo scheme and block-wise Metropolis–Hastings sampling. We illustrate the model using 2001–2011 self-reported health status (SRHS) from the Household, Income and Labour Dynamics in Australia survey. SRHS is recorded as an ordinal variable with five levels: poor, fair, good, very good and excellent. Using the Widely Applicable Information Criterion for model comparison, we find evidence for six latent groups. Transitions in the original data and the estimated groups are visualized using heatmaps.
Start page
1015
End page
1038
Volume
34
Issue
3
Language
English
OCDE Knowledge area
Estadísticas, Probabilidad
Subjects
Scopus EID
2-s2.0-85061702004
Source
Computational Statistics
ISSN of the container
09434062
Sponsor(s)
The work is being supported by the Marsden Fund Grants 16-VUW-062 and E2987-3648 from the Royal Society of New Zealand. We would like to thank Professor Shirley Pledger from Victoria University of Wellington for many useful discussions. This paper uses unit record data unit record data from the Household, Income and Labour Dynamics in Australia (HILDA) Survey. The HILDA Project was initiated and is funded by the Australian Government Department of Social Services (DSS) and is managed by the Melbourne Institute of Applied Economic and Social Research (Melbourne Institute). The findings and views reported here, however, are those of the author and should not be attributed to either DSS or the Melbourne Institute. More information about the HILDA survey can be found at: https://www.melbourneinstitute.com/hilda/.
Sources of information:
Directorio de Producción Científica
Scopus