Welcome to Jim's home page. I am a retired Emeritus Professor in the
Psychology Department at
McGill University,
and a retired Associate Member of
Department of Mathematics and Statistics.
I am now living in

My research interests are:

Models for how systems respond to changes in input. These models are often expressed as systems of ordinary or partial differential equations. I specialize in methods for estimating parameters defining such systems using noisy data distributed over time and space.

The analysis of samples of curves,
images, or other types of functions. This field is described in
our FDA web site,
in the text
*Functional Data Analysis, Second Edition (2005) *co-authored
by Bernard Silverman,
and in the text
*Functional Data Analysis with R and Matlab (2009) *co-authored
by Giles Hooker, and
Spencer Graves.

Applications of FDA that I've been involved in
include speech production, handwriting, juggling, psychometrics, human growth,
econometrics and weather prediction. See our new book on applications of FDA, *Applied Functional Data Analysis *also
published by Springer-Verlag , in
2002.

I have also developed a set of functions in R, S-PLUS and Matlab for the analysis of functional data, and these are available at my ftp site, and in the R package fda. You can also find details in our functional data analysis web site.

Along with these functions we distribute the data
analyzed in *Functional Data Analysis,* and the
analyses used to compute the figures and other results in the book. These
functions are object-oriented, so that many of the usual displays, summaries,
and operations available in these systems can also be applied to functional
data objects. This software is continually evolving, so that this site should
be checked frequently.

An interesting application of FDA to handwriting, "Functional components of variation in handwriting", has appeared in the March 2000 edition in the Journal of the American Statistical Association. A copy of the paper and the data that were analyzed are available by anonymous ftp from my ftp site.

This is a program for the analysis data from tests, scales and questionnaires. In particular, It displays the performance of items and options within items, as well as other test diagnostics. TestGraf98 comes with an extensive manual, and is available by anonymous ftp from the my ftp site.

Also on this site is an older MS/DOS version called TestGraf, and a Unix version is available by contacting me directly.

TestGraf98 was last revised on 24 July 2001. In the latest revision, there are help buttons and files associated with most of the displays. The files produced by this version are not compatible with those produced by earlier versions, so that data analyzed before the date displayed for this version should be re-analyzed.

A new feature now in the program is the possibility of forcing right answer option characteristic curves to be monotonic. Monotonicity is a powerful smoothing principle as well as being an assumption that is critical to many theoretical analyses in item response theory.

Two new display variables have been added. Arc
length is the length along the one-dimensional path in outcome space defined by
the latent trait model. This measure of the trait is manifest, not latent, and
is invariant under any permissible transformation of the latent trait. The
other display variable is expected rest score, where rest score is the score on
the test or scale not using the item being examined. Brian Junker and Klaas
Sijtsma have argued persuasively in *Applied Psychological Measurement*
that this gives a better impression of features of the item response function,
including its monotonicity.

To accompany the rest score in the Display step, there is now the possibility of using observed rest scores to estimate the option response functions in the Analyze step. When the test or scale has a small number of items, this option is probably preferable since it does not contaminate the independent variable used in smoothing by the influence of the dependent variable. Computation time is slightly increased, but not seriously.

Also a part of functional data analysis, registration is the process of aligning important features or characteristics of curves and images by smooth order-preserving nonlinear transformations, called warping functions, of the argument or domain over which the curve or image is defined. R, S-PLUS and Matlab modules for curve registration are available by anonymous ftp from the my ftp site, and are also incorporated into the FDA S-PLUS and Matlab modules. In the ftp site you find a manuscript with sample registration analyses and a review of the registration problem titled "A Guide to Curve Registration."

Although I'm no longer active in this area, I still distribute an MS/DOS program called Multiscale that has hypothesis testing features, and is available with an extensive manual by anonymous ftp from the my ftp site.

· G., Cao, J. and Ramsay, J. O. (2010)
Linear mixed-effects modeling by parameter cascading.
*Journal of the American Statistical Association,* 105, 365-374.

·
*Functional Data Analysis with R and Matlab*
by J. O. Ramsay, G. Hooker and S. Graves. Book published by Springer-Verlag, 2009.

· G., Cao, J., Fussmann, G. F. and
Ramsay, J. O. (2008) Estimating a predator-prey dynamical model
with the parameter cascades method.
*Biometrics,* 64, 959-967.

· G., Kneip, A. and Ramsay, J. O. (2008)
Combining registration and fitting for functional linear models.
*Journal of the American Statistical Association,* 103, 1155-1165.

· G., Cao, J.
and Ramsay, J. O. (2007). Parameter cascades and profiling in functional
data analysis. *Computational Statistics* 22, 335-351.

· Ramsay, J. O., Hooker, G., Cao, J.
and Campbell, D. (2007). Parameter estimation for differential equations:
A generalized smoothing approach (with discussion). *Journal of the Royal
Statistical Society, Series B.* 69, 741-796.

· *S+
Functional Data Analysis User's Guide.*
by Clarkson, D. B., Fraley, C., Gu, C. C. and Ramsay, J. O. Book published
by Springer-Verlag, 2005.

· *Applied
Functional Data Analysis, Second Edition*
by J. O. Ramsay and B. W. Silverman. Book published by Springer-Verlag, 2002.

· *Functional Data
Analysis* by J. O. Ramsay and B. W. Silverman. Book published by
Springer-Verlag, 2005.

· Malfait, N. and Ramsay, J.O. (2003). The
historical functional linear model, *Canadian Journal of Statistics,* 31,
115-128.

· Rossi, N., Wang, X. and Ramsay, J. O.
(2002) Nonparametric item response function estimates with the EM algorithm. *Journal
of the Behavioral and Educational Sciences,* 27, 291-317.

· Ramsay, J. O. and Ramsey, J. B. (2001) Functional
data analysis of the dynamics of the monthly index of non durable goods
production. *Journal of Econometrics,* 107, 327-344.

· Ramsay, J. O. (2000) Differential
equation models for statistical functions. *Canadian Journal of Statistics,*
28, 225-240.

· Ramsay, J. O. (2000) Penalized
regression with model-based penalties. *Canadian Journal of Statistics,*
28, 241-258.

· Ramsay, J. O. (2000) Functional
components of variation in handwriting. *Journal of the American Statistical
Association,* 95, 9-15.

· Kneip, A., Li, X., MacGibbon, B., &
Ramsay, J. O. (2000) Curve registration by local regression. *Canadian
Journal of Statistics,* 28, 19-30.

· Ramsay, J. O. & Li, X. (1998) Curve
registration. *Journal of the Royal Statistical Society, Series B,* 60, 351-363.

· Ramsay, J. O. (1998) Estimating smooth
monotone functions. *Journal of the Royal Statistical Society, Series B,*
60, 365-375.

· Ramsay, J. O., Munhall, K. G., Gracco,
V. L. and Ostry, D. J. (1996) Functional data analysis of lip motion. *Journal
of the Acoustical Society of * 3718-3727.

· Ramsay, J. O. (1996) A geometrical
approach to item response theory. *Behaviormetrika, 23,* 3-17.

Department of Psychology, McGill University,

1205 Dr. Penfield Ave., Montreal, Quebec, CANADA H4A 1B1

Telephone: (514) 398-6123

Fax: (514) 398-4896 Last edited on 3 September 2010.