Functional data analysis with R and MATLAB

James Ramsay, Giles Hooker, Spencer Graves (auth.)0387981845, 9780387981840

Scientists often collect samples of curves and other functional observations, and develop models where parameters are also functions. This volume in the UseR! Series is aimed at a wide range of readers, and especially those who would like apply these techniques to their research problems. It complements Functional Data Analysis, Second Edition and Applied Functional Data Analysis: Methods and Case Studies by providing computer code in both the R and Matlab languages for a set of data analyses that showcase functional data analysis techniques. The authors make it easy to get up and running in new applications by adapting the code for the examples, and by being able to access the details of key functions within these pages. This book is accompanied by additional web-based support at http://www.functionaldata.org for applying existing functions and developing new ones in either language. The companion ‘fda’ package for R includes script files to reproduce nearly all the examples in the book including all but one of the 76 figures.

Jim Ramsay is Professor Emeritus at McGill University and is an international authority on many aspects of multivariate analysis. He was President of the Statistical Society of Canada in 2002-3 and holds the Society’s Gold Medal for his work in functional data analysis. His statistical work draws on his collaboration with researchers in biomechanics, chemical engineering, climatology, ecology, economics, human biology, medicine and psychology.

Giles Hooker is Assistant Professor of Biological Statistics and Computational Biology at Cornell University. His research interests include statistical inference in nonlinear dynamics, machine learning and computational statistics.

Spencer Graves is an engineer with a PhD in Statistics and over 15 years experience using S-Plus and R to analyze data in a broad range of applications. He has made substantive contributions to several CRAN packages including ‘fda’ and ‘DierckxSpline.’

Table of contents :
Front Matter….Pages 1-10
Introduction to Functional Data Analysis….Pages 1-19
Essential Comparisons of the Matlab and R Languages….Pages 21-27
How to Specify Basis Systems for Building Functions….Pages 29-44
How to Build Functional Data Objects….Pages 45-58
Smoothing: Computing Curves from Noisy Data….Pages 59-82
Descriptions of Functional Data….Pages 83-97
Exploring Variation: Functional Principal and Canonical Components Analysis….Pages 99-115
Registration: Aligning Features for Samples of Curves….Pages 117-130
Functional Linear Models for Scalar Responses….Pages 131-146
Linear Models for Functional Responses….Pages 147-177
Functional Models and Dynamics….Pages 179-195
Back Matter….Pages 197-208