Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
8-2011
Committee Chair or Co-Chairs
Edith Seier
Committee Members
Robert B. Gardner, Robert M. Price Jr.
Abstract
Classical time series analysis has well known methods for the study of seasonality. A more recent method of functional data analysis has proposed phase-plane plots for the representation of each year of a time series. However, the study of seasonality within functional data analysis has not been explored extensively. Time series analysis is first introduced, followed by phase-plane plot analysis, and then compared by looking at the insight that both methods offer particularly with respect to the seasonal behavior of a variable. Also, the possible combination of both approaches is explored, specifically with the analysis of the phase-plane plots. The methods are applied to data observations measuring water flow in cubic feet per second collected monthly in Newport, TN from the French Broad River. Simulated data corresponding to typical time series cases are then used for comparison and further exploration.
Document Type
Thesis - unrestricted
Recommended Citation
Allen, Jake, "Comparison of Time Series and Functional Data Analysis for the Study of Seasonality." (2011). Electronic Theses and Dissertations. Paper 1349. https://dc.etsu.edu/etd/1349
Copyright
Copyright by the authors.