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September 2014 Functional clustering in nested designs: Modeling variability in reproductive epidemiology studies
Abel Rodriguez, David B. Dunson
Ann. Appl. Stat. 8(3): 1416-1442 (September 2014). DOI: 10.1214/14-AOAS751


We discuss functional clustering procedures for nested designs, where multiple curves are collected for each subject in the study. We start by considering the application of standard functional clustering tools to this problem, which leads to groupings based on the average profile for each subject. After discussing some of the shortcomings of this approach, we present a mixture model based on a generalization of the nested Dirichlet process that clusters subjects based on the distribution of their curves. By using mixtures of generalized Dirichlet processes, the model induces a much more flexible prior on the partition structure than other popular model-based clustering methods, allowing for different rates of introduction of new clusters as the number of observations increases. The methods are illustrated using hormone profiles from multiple menstrual cycles collected for women in the Early Pregnancy Study.


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Abel Rodriguez. David B. Dunson. "Functional clustering in nested designs: Modeling variability in reproductive epidemiology studies." Ann. Appl. Stat. 8 (3) 1416 - 1442, September 2014.


Published: September 2014
First available in Project Euclid: 23 October 2014

zbMATH: 1303.62040
MathSciNet: MR3271338
Digital Object Identifier: 10.1214/14-AOAS751

Keywords: functional clustering , hierarchical functional data , hormone profile , nested Dirichlet process , nonparametric Bayes

Rights: Copyright © 2014 Institute of Mathematical Statistics


Vol.8 • No. 3 • September 2014
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