Each day, we will start at 09:00 and finish at 16:00

Monday (PART I: Preliminaries and data exploration):

1. * Introduction to the workshop
   

2. * Studying human growth
   

3. * Basis basics: Methods for representing functions
   

4. * Data smoothing with roughness penalties
   

5. * Item analysis for a math test: An FDA of binary data
   

Tuesday (PART I: Preliminaries and data exploration):

1. * Stravinsky and FDA: The dynamics of music appreciation
   

2. * Plotting the US nondurable goods manufacturing index
   

3. * Montreal weather: Separating phase from amplitude variation
   

4. * Functional principal components analysis
   

5. * Reaction time densities for hyperactive kids
   

Wednesday (PART II: Linear and dynamic modeling of functional data):

1. * Mouse livers: Modeling an input/output system
   

2. * An overview of linear models
   

3. * A functional response and multivariate inputs
   

4. * Functions all the way: functional inputs and outputs
   

Thursday (PART II: Linear and dynamic modeling of functional data):

1. * Modeling dynamics: Some examples from engineering and medicine
   

2. * A differential equation for the analysis and recognition of handwriting
   

3. * Analyzing lupus data: fitting a differential equation to complex dynamics
   

4. * Resources: web sites, books, data, and software
   

5. * Wrap-up: Themes and Challenges
   

Friday (PART III: Own data and FDA related research problems)

Schedule

For those interested in study credits, we will reward 3 ECTS points for attending all three parts.

The Department of Information and Computer Science of the Helsinki University of Technology will take care of the details concerning the credits.

Credit points

Participants are expected to bring their own laptops to be used in practice sessions throughout the workshop. Inform timo.hurme 'at' mtt.fi, if you are unable to bring your own laptop, because there are few extra laptops available.

The R software will be used throughout the workshop. Latest version of R can be downloaded from the following website:

http://www.r-project.org/

Once you have installed R you also need to install the FDA-package within R. You can do this by typing in the following script in the R Console:

install.packages("fda")

How to prepare for the workshop

Books:

1. * Ramsay, J. O. and Silverman, B. W. (2006) Functional Data Analysis, Second Edition. New York: Springer.
   

2. * Ramsay, J. O. and Silverman, B. W. (2002) Applied Functional Data Analysis. New York: Springer.
   

Web site:

1. * http://ego.psych.mcgill.ca/misc/fda/
   

An ftp site for downloading software in R, S-PLUS and Matlab, and data and sample analyses:

1. * ftp://ego.psych.mcgill.ca/pub/ramsay
   

Once there, change directory to the FDAfuns directory and to the appropriate following directory.

Resources