RAND Statistics Seminar Series

Clustering Functional Data: Methods and Applications

Presented by Catherine Sugar, USC Marshall School of Business
Thursday, December 14, 2006
RAND Corporation, Santa Monica, CA
Please contact Nancee Inouye if you would like to attend this seminar.

Abstract

Methods for functional data analysis (FDA), in which measurements for subjects consist of curves or trajectories rather than finite-dimensional points, are becoming increasingly important in many fields. In this talk I present a flexible model-based procedure for clustering functional data. The techniques can be applied to all types of curve data but are particularly useful when individuals are observed at a sparse set of time points. In addition to producing final cluster assignments, the procedure generates predictions and confidence intervals for missing portions of curves. The resulting models can be assessed visually via low dimensional representations of the curves, and the regions of greatest separation between clusters can be determined using a discriminant function. The basic model can be extended to handle multiple functional and finite dimensional covariates and can be applied to standard finite dimensional clustering problems involving missing data.

I will illustrate the techniques using a variety of applications to medical and business problems.



Attending a Seminar

RAND Visitors are welcome to attend the statistics seminars, but must RSVP at least one day prior to the seminar. To ensure your attendance, contact Nancee Inouye at inouye@rand.org with your name, company or university affiliation, and national citizenship (for security purposes). Light refreshments will be served.

For directions to RAND see: http://www.rand.org/about/locations/santa-monica.html

Visitors must enter through the north-parking garage, which is accessible from Main Street in our new office building. Inform the attendant that you are there for the Statistics Seminar Series and you will be directed to the appropriate parking area. If there is no attendant present, use the intercom and tell them that you are here for the Statistics Seminar Series. After parking, follow the instructions to the appropriate conference area. (1776 Main Street)

Reminder: the old RAND surface parking lots have been permanently closed.

For further information and to be added to the mailing list contact Nancee Inouye at inouye@rand.org.