*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:

- A
fuller description of the way that the data were analysed
- S-PLUS
or MATLAB routines for carrying out the analyses described
- The
original data sets
- Technical
details not covered in the book

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.

Bibliography

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.