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Journal of the American Statistical Association Volume 90, 1995 - Issue 431
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Applications and Case Study

Modeling the Labeling Index Distribution: An Application of Functional Data Analysis

Patricia M. Grambsch Division of Biostatistics, School of Public Health, University of Minnesota, Minneapolis, MN, 55455
,
Bryan L. Randall Division of Biostatistics, School of Public Health, University of Minnesota, Minneapolis, MN, 55455
,
Roberd M. Bostick Department of Public Health Sciences, Bowman Gray School of Medicine, Winston-Salem, NC, 27157
,
John D. Potter Cancer Prevention Research Program, Fred Hutchinson Cancer Research Center, Seattle, WA, 98104
&
Thomas A. Louis Division of Biostatistics, School of Public Health, University of Minnesota, Minneapolis, MN, 55455
Pages 813-821 | Received 01 Jan 1993, Published online: 27 Feb 2012
 
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Abstract

This article presents exploratory data analytic methodology for visualizing and summarizing data that can be represented as individual-specific curves. We propose a simplified form of functional data analysis. A nonparametric scatterplot smooth is applied to each individual's data, followed by a principal components analysis of the smoothed data. We then display the individual smooth curves in an array organized by principal component scores. The display suggests interpretable summary measures. The methodology is applied to the measurement of proliferative activity, a biomarker for colon cancer risk. We use the summary measures in the analysis of a pilot study clinical trial.

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