Clustering and a Dissimilarity Measure for Methadone Dosage Time Series (original) (raw)
Abstract
In this work we analyse data for 314 participants of a methadone study over 180 days. Dosages in milligram were converted for better interpretability to seven categories in which six categories have an ordinal scale for representing dosages and one category for missing dosages. We develop a dissimilarity measure and cluster the time series using “partitioning around medoids” (PAM). The dissimilarity measure is based on assessing the interpretative dissimilarity between categories. It quantifies the structure of the categories which is partly categorical, partly ordinal and also involves quantitative information. The principle behind the measure can be used for other applications as well, in which there is more information about the meaning of categories than just that they are “ordinal” or “categorical”.
Similar content being viewed by others
References
- Bellin, E., Wesson, J., Tomasino, V., Nolan, J., Glick, A. J. & Oquendo, S. (1999). High dose methadone reduces criminal recidivism in opiate addicts. Addiction Research, 7, 19–29.
Article Google Scholar - Berndt, D., & Clifford J. (1994) Using dynamic time warping to find patterns in time series. AAAI-94 Workshop on Knowledge Discovery in Databases (pp. 229–248).
Google Scholar - Gordon, A. D. (1999). Classification. New York: Chapman and Hall.
MATH Google Scholar - Gossop, M., Marsden, J., Stewart, D., & Rolfe, A. (2000). Patterns of improvement after methadone Treatment: 1 Year follow-up results from the national treatment outcome research study. Drug Alcohol Abuse, 60, 275–286.
Article Google Scholar - Hennig, C., & Hausdorf, B. (2006). Design of Dissimilarity Measures: a New Dissimilarity Measure between Species Distribution Ranges. In V. Batagelj, H.-H. Bock, A. Ferligoj, & A. \(\check{Z}\) iberna (Eds.), Data science and classification (pp. 29–37). Berlin: Springer.
Google Scholar - Hennig, C., & Liao, T. F. (2013). How to find an appropriate clustering for mixed type variables with application to socioeconomic stratification (with discussion). Journal of the Royal Statistical Science, Series C (Applied Statistics), 62, 309–369.
Article MathSciNet Google Scholar - Kaufman, L., & Rousseuw, P. J.(1990). Finding groups in data: an introduction to cluster analysis. New Jersey: Wiley
Book Google Scholar - Langendam, M., Van Haastrecht, H., Brussel, G., Van Den hoek, A., Coutinho, R., & Van Ameijden, E. (1998). Research report differentiation in the Amsterdam dispensing circuit: determinants of methadone dosage and site of methadone prescription. Addiction, 93, 61–72.
Google Scholar - Lin, C. J. (2014) A Pattern-Clustering Method for Longitudinal data - Heroin Users Receiving Methadone. PhD thesis, Department of Statistical Science, University College London.
Google Scholar - Murray, H., Mchugh, R., Behar, E., & Pratt, E. (2008). Personality factors associated with methadone maintenance dose. The American Journal of Drug and Alcohol Abuse, 34, 634–641.
Article Google Scholar - Peles, E., Schreibera, S., Naumovskya, Y., & Adelsona, M. (2007). Depression in methadone maintenance treatment patients: Rate and risk factors. Affective Disorders, 99, 213–220.
Article Google Scholar - Strain, E. C., Stitzer, M. L., Liebson, I. A., & Bigelow, G. E. (1993). Methadone dose and treatment outcome. Drug and Alcohol Dependence, 33, 105–117.
Article Google Scholar - Tibshirani, R., & Walther, G. (2005). Cluster validation by prediction strength. Journal of Computational and Graphical Statistics, 14, 511–528.
Article MathSciNet Google Scholar
Author information
Authors and Affiliations
- Department of Statistical Science, University College London, London, UK
Chien-Ju Lin & Christian Hennig - MRC Biostatistics Unit, Cambridge, UK
Chien-Ju Lin - Department of Psychiatry, China Medical University Hospital, Taichung City, Taiwan, ROC
Chieh-Liang Huang
Authors
- Chien-Ju Lin
- Christian Hennig
- Chieh-Liang Huang
Corresponding author
Correspondence toChien-Ju Lin .
Editor information
Editors and Affiliations
- Jacobs University Bremen , Bremen, Germany
Adalbert F.X. Wilhelm - Universität Ulm, Institute of Medical Systems Biology Universität Ulm, Ulm, Baden-Württemberg, Germany
Hans A. Kestler
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Lin, CJ., Hennig, C., Huang, CL. (2016). Clustering and a Dissimilarity Measure for Methadone Dosage Time Series. In: Wilhelm, A., Kestler, H. (eds) Analysis of Large and Complex Data. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Cham. https://doi.org/10.1007/978-3-319-25226-1\_3
Download citation
- .RIS
- .ENW
- .BIB
- DOI: https://doi.org/10.1007/978-3-319-25226-1\_3
- Published: 04 August 2016
- Publisher Name: Springer, Cham
- Print ISBN: 978-3-319-25224-7
- Online ISBN: 978-3-319-25226-1
- eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)Springer Nature Proceedings excluding Computer Science
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.