Please use this identifier to cite or link to this item: https://hdl.handle.net/10620/17827
Longitudinal Study: HILDA
Title: Cluster analysis for longitudinal ordinal data: A likelihood-based approach based on finite mixture models
Authors: Ivy, Liu 
Costilla, Roy 
Publication Date: 25-Nov-2013
Keywords: Finite mixtures
EM algorithm
Ordinal data
Cluster analysis
Abstract: Traditional cluster analysis methods are not based on likelihoods and thus the toolbox of statistical inference can’t be used for them. For instance, goodness of fit can’t be assessed using well-developed criteria such as the AIC. Following the lines of Pledger and Arnold 2013, we develop likelihood-based probability models to cluster ordinal data that arises in longitudinal settings. In this talk, we present the Trends Odds Model (TOM) that includes mixture-based fuzzy clustering to identify similar groups. The estimation procedure is carried out using the EM algorithm. We also illustrate our models using survey data from the Household, Income and Labour Dynamics in Australia (HILDA). In particular, we examine self-reported health status (poor, fair, good, very good and excellent) from the 2001-2010 waves.
Conference: New Zealand Statistical Association Annual Meeting
Conference location: Hamilton, New Zealand
URL: http://orsnz.org.nz/conf47/content/NZSA2013ColourV2.pdf
Keywords: Surveys and Survey Methodology
Research collection: Conference Presentations
Appears in Collections:Conference Presentations

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