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dc.contributor.author
Flesia, Ana Georgina
dc.date.available
2017-08-09T16:25:24Z
dc.date.issued
2011-12
dc.identifier.citation
Flesia, Ana Georgina; A Note on Distinguishing Random Trees Populations; Taylor & Francis; Communications In Statistics-theory And Methods; 42; 2; 12-2011; 239-251
dc.identifier.issn
0361-0926
dc.identifier.uri
http://hdl.handle.net/11336/22122
dc.description.abstract
This article addresses the problem of identifying differences between populations of trees. Recently, a sophisticated test was proposed by Busch et al. (2009), the BFFS test, a Kolmogorov type of test that maximizes the differences between the information of the samples, but it does not have a naive computation, since it involves a search over the set of trees that grows exponentially fast. An algorithm for computing the test statistic was devised in Busch et al. (2009), considering a search for a minimum cut over a transport network in a Ford Fulkerson type routine. The test was shown powerful but complex at the time to apply it in practice. On the contrary, we propose a very simple statistical test based on the distance between empirical mean trees, as an analog of the two sample Z statistic for comparing two means. Despite its simplicity, we can report that the test is quite powerful to separate distributions with different means, but it does not distinguish between different populations with the same means. In that case, the BFFS test should be applied. Nevertheless, on a real data set from proteomics, also discussed on Busch et al. (2009), our test obtained the same results, making it a valuable preliminary evaluation tool for random trees population discrimination.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Taylor & Francis
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Hypothesis Testing
dc.subject
Random Trees
dc.subject
Nonparametric Test
dc.subject
Galton Watson Process
dc.subject.classification
Otras Matemáticas
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.subject.classification
Bioquímica y Biología Molecular
dc.subject.classification
Ciencias Biológicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A Note on Distinguishing Random Trees Populations
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-08-09T14:25:34Z
dc.journal.volume
42
dc.journal.number
2
dc.journal.pagination
239-251
dc.journal.pais
Reino Unido
dc.journal.ciudad
Londres
dc.description.fil
Fil: Flesia, Ana Georgina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.journal.title
Communications In Statistics-theory And Methods
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1080/03610926.2011.579371
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.tandfonline.com/doi/abs/10.1080/03610926.2011.579371
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