Applied Functional Data Analysis: Methods and Case Studies
by James O. Ramsay and Bernard W. Silverman
New York: Springer-Verlag, 2002. ISBN 0-387-95414-7.
Read a review from Technometrics here.
This web page contains links to individual pages for each chapter in the book. The web page for each chapter contains links to some or all of the following:
Some of the MATLAB analyses make use of a package developed by Jim Ramsay, available from a separate web site; click here for details.
Chapter 1: Introduction
General introduction to FDA with examples of the types of problem discussed later in the book.
Chapter 2: Life
Course Data in Criminology
Turning discrete observations into functional data; regularization for estimating mean function from very noisy data; smoothed functional PCA; calculations involving basis expansions.
Chapter 3: The
Nondurable Goods Index
Seasonal variation in a long time series; the phase-plane plot and its interpetation; plotting changes in seasonal variation using phase-plane plots.
Chapter 4: Bone
Shapes from a Paleopathology Study
Characterizing functional data through landmarks; using functional PCA to pick out modes of variability; visualizing results of a functional PCA by plotting mean perturbed by components weight functions; varimax rotation of components; study of data by analysis of the individual PC scores.
Chapter 5: Modeling
Reaction Time Distributions
Functional models for density functions; PCA of densities.
Chapter 6: Zooming
in on Human Growth
Growth as a monotonic process; a differential equation for growth; phase and amplitude variation and the need for registration.
Chapter 7: Time
Warping Handwriting and Weather Records
Two examples of registration; registering sample curves to their mean; registering a single long time series to its seasonal variation.
Chapter 8: How do
Bone Shapes Indicate Arthritis?
Parametrizing shapes when there are no landmarks; PCA of vector functions; functional discriminant analysis and the necessity of regularization.
Chapter 9: Functional
Models for Test Items
Using FDA in a latent trait model for binary data; the item response and log odds-ratio functions; PCA of items; assessing test fairness; arc length measure of ability
Chapter 10: Predicting
Lip Acceleration from Electromyography
A feed-forward or historical linear model.
Chapter 11: The
Dynamics of Handwriting Printed Characters
Use differential equation modeling on handwriting data. Use this to illustrate what d. e. models are at all. PDA. Classification using PDA.
Chapter 12: A
Differential Equation for Juggling
A differential equation as a model for functional data; plotting the results.
Disclaimer: The analyses and programs are intended to provide background for the published book and to illustrate ways that the various methods might be implemented in a particular case. They are not in any sense a general "package" to be applied blindly.
ã J. O. Ramsay and B. W. Silverman, 2002. You may download materials freely for your own personal study. Use for any commercial purpose is forbidden.