Electronic Journal of Statistics

Description and processing of functional data arising from juggling trajectories

James O. Ramsay, Paul Gribble, and Sebastian Kurtek

Full-text: Open access

Abstract

In this data introduction paper we discuss different aspects of a juggling dataset collected in 1998 at the motor control laboratory in the McGill University Department of Psychology. The juggler was asked to juggle three balls and the x, y, z position of his index finger was recorded. This data consists of ten juggling trials, each lasting 10 seconds, with 11–13 cycles per trial. We also describe a set of processing steps applied to this dataset. In particular, the raw data was smoothed and a new coordinate system was defined. Finally, we provide a few initial observations from examining the raw data.

Article information

Source
Electron. J. Statist. Volume 8, Number 2 (2014), 1811-1816.

Dates
First available in Project Euclid: 29 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.ejs/1414588167

Digital Object Identifier
doi:10.1214/14-EJS937

Mathematical Reviews number (MathSciNet)
MR3273599

Zentralblatt MATH identifier
1305.62018

Keywords
Functional data analysis juggling trajectories and cycles data processing

Citation

Ramsay, James O.; Gribble, Paul; Kurtek, Sebastian. Description and processing of functional data arising from juggling trajectories. Electron. J. Statist. 8 (2014), no. 2, 1811--1816. doi:10.1214/14-EJS937. https://projecteuclid.org/euclid.ejs/1414588167.


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References

  • [1] Ramsay, J.O. (2000). Functional components of variation in handwriting., Journal of the American Statistical Association 95 9–15.
  • [2] Ramsay, J.O., Gribble, P. (1999). Functional data analysis in action., Proceedings of the American Statistical Association 30–36.
  • [3] Ramsay, J.O., Hooker, G., Graves, S. (2009)., Functional Data Analysis Using R and Matlab, Springer, New York.

See also

  • Related item: Bernardi, M., Sangalli, L. M., Secchi, P., and Vantini, S. (2014). Analysis of juggling data: An application of $-mean alignment. Electron. J. Statist. 8 1817–1824.
  • Related item: Poss, D. and Wagner, H. (2014). Analysis of juggling data: Registering data to principal components to explain amplitude variation. Electron. J. Statist. 8 1825–1834.
  • Related item: Ramsay, J. O., Gribble, P., and Kurtek, S. (2014). Analysis of juggling data: Landmark and continuous registration of juggling trajectories. Electron. J. Statist. 8 1835–1841.
  • Related item: Lu, X. and Marron, J. S. (2014). Analysis of juggling data: Object oriented data analysis of clustering in acceleration functions. Electron. J. Statist. 8 1842–1847.
  • Related item: Brunel, N. J.-B. and Park, J. (2014). Removing phase variability to extract a mean shape for juggling trajectories. Electron. J. Statist. 8 1848–1855.
  • Related item: Tolver, A., Sørensen, H., Muller, M., Mousavi, S. N. (2014). Analysis of juggling data: Registration subject to biomechanical constraints. Electron. J. Statist. 8 1856–1864.
  • Related item: Kurtek, S., Xie, Q. and Srivastava, A. (2014). Analysis of juggling data: Alignment, extraction, and modeling of juggling cycles. Electron. J. Statist. 8 1865–1873.
  • Related item: Ramsay, J. O. (2014). Functional data analysis of juggling trajectories: Rejoinder. Electron. J. Statist. 8 1874–1878.