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Interpreting the Phase Spectrum in Fourier Analysis of Partial Ranking Data
Author
Source
Advances in Numerical Analysis
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-06-27
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Whenever ranking data are collected, such as in elections, surveys, and database searches, it is frequently the case that partial rankings are available instead of, or sometimes in addition to, full rankings.
Statistical methods for partial rankings have been discussed in the literature.
However, there has been relatively little published on their Fourier analysis, perhaps because the abstract nature of the transforms involved impede insight.
This paper provides as its novel contributions an analysis of the Fourier transform for partial rankings, with particular attention to the first three ranks, while emphasizing on basic signal processing properties of transform magnitude and phase.
It shows that the transform and its magnitude satisfy a projection invariance and analyzes the reconstruction of data from either magnitude or phase alone.
The analysis is motivated by appealing to corresponding properties of the familiar DFT and by application to two real-world data sets.
American Psychological Association (APA)
Kakarala, Ramakrishna. 2012. Interpreting the Phase Spectrum in Fourier Analysis of Partial Ranking Data. Advances in Numerical Analysis،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-482277
Modern Language Association (MLA)
Kakarala, Ramakrishna. Interpreting the Phase Spectrum in Fourier Analysis of Partial Ranking Data. Advances in Numerical Analysis No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-482277
American Medical Association (AMA)
Kakarala, Ramakrishna. Interpreting the Phase Spectrum in Fourier Analysis of Partial Ranking Data. Advances in Numerical Analysis. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-482277
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482277