Pm. Grambsch et al., MODELING THE LABELING INDEX DISTRIBUTION - AN APPLICATION OF FUNCTIONAL DATA-ANALYSIS, Journal of the American Statistical Association, 90(431), 1995, pp. 813-821
This article presents exploratory data analytic methodology for visual
izing and summarizing data that can be represented as individual-speci
fic curves. We propose a simplified form of functional data analysis.
A nonparametric scatterplot smooth is applied to each individual's dat
a, followed by a principal components analysis of the smoothed data. W
e then display the individual smooth curves in an array organized by p
rincipal component scores. The display suggests interpretable summary
measures. The methodology is applied to the measurement of proliferati
ve activity, a biomarker for colon cancer risk. We use the summary mea
sures in the analysis of a pilot study clinical trial.