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Dissimilarity for functional data clustering based on smoothing parameter commutation.

Published version
Peer-reviewed

Type

Article

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Authors

Tzeng, ShengLi 
Hennig, Christian 
Li, Yu-Fen 

Abstract

Many studies measure the same type of information longitudinally on the same subject at multiple time points, and clustering of such functional data has many important applications. We propose a novel and easy method to implement dissimilarity measure for functional data clustering based on smoothing splines and smoothing parameter commutation. This method handles data observed at regular or irregular time points in the same way. We measure the dissimilarity between subjects based on varying curve estimates with pairwise commutation of smoothing parameters. The intuition is that smoothing parameters of smoothing splines reflect the inverse of the signal-to-noise ratios and that when applying an identical smoothing parameter the smoothed curves for two similar subjects are expected to be close. Our method takes into account the estimation uncertainty using smoothing parameter commutation and is not strongly affected by outliers. It can also be used for outlier detection. The effectiveness of our proposal is shown by simulations comparing it to other dissimilarity measures and by a real application to methadone dosage maintenance levels.

Description

Keywords

Clustering, dissimilarity, functional data, irregular longitudinal data, outliers, smoothing splines, Algorithms, Bias, Cluster Analysis, Data Accuracy, Humans, Longitudinal Studies, Methadone, Opiate Substitution Treatment

Journal Title

Stat Methods Med Res

Conference Name

Journal ISSN

0962-2802
1477-0334

Volume Title

27

Publisher

SAGE Publications