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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