Modeling the labeling index distribution

An application of functional data analysis

Patricia M. Grambsch, Bryan L. Randall, Roberd M. Bostick, John D. Potter, Thomas Louis

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)813-821
Number of pages9
JournalJournal of the American Statistical Association
Volume90
Issue number431
DOIs
StatePublished - 1995
Externally publishedYes

Fingerprint

Functional Data Analysis
Labeling
Modeling
Curve
Methodology
Biomarkers
Principal Components
Clinical Trials
Principal Component Analysis
Display
Cancer
Clinical trials
Principal component analysis
Principal components

Keywords

  • Descriptive statistics
  • LOESS
  • Principal components
  • Proliferative index
  • Scatterplot smoothing

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

Modeling the labeling index distribution : An application of functional data analysis. / Grambsch, Patricia M.; Randall, Bryan L.; Bostick, Roberd M.; Potter, John D.; Louis, Thomas.

In: Journal of the American Statistical Association, Vol. 90, No. 431, 1995, p. 813-821.

Research output: Contribution to journalArticle

Grambsch, Patricia M. ; Randall, Bryan L. ; Bostick, Roberd M. ; Potter, John D. ; Louis, Thomas. / Modeling the labeling index distribution : An application of functional data analysis. In: Journal of the American Statistical Association. 1995 ; Vol. 90, No. 431. pp. 813-821.
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