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Resources on Functional Data Analyses
The principal reference on functional data analysis is the book by J. O.
Ramsay and B. W. Silverman (1997)
Functional
Data Analysis, New York: Springer.
It provides some background material on how to smooth data, and then continues with chapters on:
- registering curves,
- exploring variation among curves with principal components analysis
- modeling functional dependent variables with a functional version of analysis of variance
- using more sophisticated functional linear models involving independent or covariate variables which are also functional
- assessing modes of joint variation between two sets of curves using a functional version of canonical correlation analysis
- background information on linear differential equations as modeling tools
- returning to the variation exploration problem, but this time by estimating a linear differential equation to model curves,
using principal differential analysis
This year we are revising this book to provide better coverage on a number of topics, and to highlight new research.
A useful secondary reference, and especially for those considering possible applications of FDA, is a book of case studies, Ramsay,
J. O. and Silverman, B. W. (2002)
Applied Functional Data Analysis, Many of the sets of data used in
this book are available, along with annotated code for their analysis, at the
website that
accompanies this book.
A group called STAPH (Groupe de Travail en
Statistique Fonctionnelle et Opeatorielle) meets regularly at l'Universite Paul
Sabatier in Toulouse, France. They have a bilingual
website where their
schedule of meetings and papers are posted.
A group of biologists, mathematicians and statisticians at the University of
British Columbia are developing methods for function-valued traits. Their work
can be followed through their
website.
Go to the conferences pages where you will see workshops
that have already been given on functional data analysis, along with PowerPoint and PDF displays
from the lectures on the topics discussed at the workshop. These pages will also indicate
coming workshops.
In this web site, you might also want to go to the
bibliography and
examples pages.
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