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

 

作者: PatriciaM. Grambsch,   BryanL. Randall,   RoberdM. Bostick,   JohnD. Potter,   ThomasA. Louis,  

 

期刊: Journal of the American Statistical Association  (Taylor Available online 1995)
卷期: Volume 90, issue 431  

页码: 813-821

 

ISSN:0162-1459

 

年代: 1995

 

DOI:10.1080/01621459.1995.10476579

 

出版商: Taylor & Francis Group

 

关键词: Descriptive statistics;LOESS;Principal components;Proliferative index;Scatterplot smoothing

 

数据来源: Taylor

 

摘要:

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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