Estimating periodicity of oscillatory time series through resampling techniques
Costa, Maria J. (Maria João), Finkenstädt, Bärbel, Gould, Peter D., Foreman, Julia, Halliday, Karen J., Hall, Anthony J. W. and Rand, D. A. (David A.) (2011) Estimating periodicity of oscillatory time series through resampling techniques. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2011 (No.1).
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Official URL: http://www2.warwick.ac.uk/fac/sci/statistics/crism...
Accurate estimation of the period length of time-course data from cyclical biological processes, such as those driven by the endogenous circadian pacemaker, is crucial for making inferences about the properties of the biological clock found in many living organisms. In this paper we propose a methodology that combines spectral analysis with resampling techniques termed spectrum resampling (SR). Extensive numerical studies show that SR is superior and considerably more robust to non-sinusoidal patterns than currently available methods based on Fourier approximations, namely the FFT-NLLS method by Plautz et al. (1997, Journal of Biological Rhythms 12, 204-217). We also develop a nonparametric test for testing for changes in period length. The test uses resampling techniques and allows for period estimates with different variances. Simulation studies show that it attains correct nominal size and has good power properties when compared to parametric alternatives. The proposed SR method and statistical test are illustrated with real data examples.
|Item Type:||Working or Discussion Paper (Working Paper)|
|Subjects:||Q Science > QA Mathematics
Q Science > QP Physiology
|Divisions:||Faculty of Science > Statistics
Faculty of Science > Centre for Systems Biology
|Library of Congress Subject Headings (LCSH):||Circadian rhythms -- Mathematical models, Spectrum analysis, Resampling (Statistics)|
|Series Name:||Working papers|
|Publisher:||University of Warwick. Centre for Research in Statistical Methodology|
|Place of Publication:||Coventry|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Open Access|
|Funder:||Engineering and Physical Sciences Research Council (EPSRC), Biotechnology and Biological Sciences Research Council (Great Britain) (BBSRC), European Union (EU)|
|Grant number:||BB/F005261/1 (BBSRC), BB/F005237/1 (BBSRC), BB/F005318/1 (BBSRC), EP/C544587/1 (EPSRC), 005137 (EU)|
Brillinger, D. R. (2001). Time Series: Data Analysis and Theory. Classics in Applied Mathematics.
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