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Clustering with proportional scaling
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Smith, J. Q., Anderson, Paul E. and Liverani, Silvia (2008) Clustering with proportional scaling. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2008 (No.4).
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Official URL: http://www2.warwick.ac.uk/fac/sci/statistics/crism...
Abstract
Conjugacy assumptions are often used in Bayesian selection over a partition because
they allow the otherwise unfeasibly large model space to be searched very quickly. The
implications of such models can be analysed algebraically. In this paper we use the explicit
forms of the associated Bayes factors to demonstrate that such methods can be unstable under
common settings of the associated hyperparameters. We then prove that the regions of
instability can be removed by setting the hyperparameters in an unconventional way. Under
this family of assignments we prove that model selection is determined by an implicit separation
measure: a function of the hyperparameters and the sufficient statistics of clusters in
a given partition. We show that this family of separation measures has desirable properties.
The proposed methodology is illustrated through the selection of clusters of longitudinal gene
expression profiles.
Item Type: | Working or Discussion Paper (Working Paper) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics Faculty of Science, Engineering and Medicine > Research Centres > Warwick Systems Biology Centre |
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Library of Congress Subject Headings (LCSH): | Cluster analysis | ||||
Series Name: | Working papers | ||||
Publisher: | University of Warwick. Centre for Research in Statistical Methodology | ||||
Place of Publication: | Coventry | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.2008 | ||||
Number: | No.4 | ||||
Number of Pages: | 26 | ||||
Status: | Not Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Date of first compliant deposit: | 1 August 2016 | ||||
Date of first compliant Open Access: | 1 August 2016 |
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