This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.
Abstract Details
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Activity Number:
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462
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Type:
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Topic Contributed
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Date/Time:
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Wednesday, August 4, 2010 : 8:30 AM to 10:20 AM
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Sponsor:
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Section on Nonparametric Statistics
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| Abstract - #308186 |
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Title:
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Summarizing Permutation Data
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Author(s):
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Susan Holmes*+
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Companies:
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Stanford University
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Address:
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Statsitics Department, Stanford, CA, 94305, USA
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Keywords:
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Rankings ;
Consensus ;
Topology ;
Multidimensional Scaling ;
Microarray
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Abstract:
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Arrow's paradox precludes a simple summary of permutation data[1] We will look at ways of filling in (continuizing) ranked data and building the `right' distances on them. Distances between permutations [2] can be useful for multivariate representations such as those provided by Multidimensional Scaling. I will give some examples drawn from biological applications such as genes from microarrays and species abundances in metagenomics.
[1] Yuliy M. Baryshnikov. Topological and discrete social choice: in a search of a theory. Soc. Choice Welf., 14(2):199-209, 1997. Topological social choice. [2] Douglas E. Critchlow. Metric methods for analyzing partially ranked data. Springer-Verlag, Berlin, 1985.
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