Source:http://linkedlifedata.com/resource/pubmed/id/20375455
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rdf:type | |
lifeskim:mentions | |
pubmed:issue |
3
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pubmed:dateCreated |
2010-4-8
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pubmed:abstractText |
Many methods for the analysis of gene expression-, protein- or metabolite-data focus on the investigation of binary relationships, while the underlying biological processes creating this data may generate relations of higher than bivariate complexity. We give a novel method ExPlanes that helps to explore certain types of ternary relationships in a statistically robust, Bayesian framework. To arrive at an characterization of the data structure contained in triplet data we investigate 2-dimensional planes being the only linear structures that cannot be inferred from projections of the data. The key part of our methodology is the definition of a robust, Bayesian plane posterior under the assumption of an invariant prior and a Gaussian error model. A numerical representation of the plane posterior can be explored interactively. Beyond this purely Bayesian approach we can use the plane posterior to construct a family of posterior-based test statistics that allow testing the data for different plane related hypotheses. To demonstrate practicability we queried triplets of metabolic data from a plant crossing experiment for the presence of plane-, line- and point-structures by using posterior-based test statistics and were able to show their distinctiveness.
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pubmed:language |
eng
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pubmed:journal | |
pubmed:citationSubset |
IM
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pubmed:status |
MEDLINE
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pubmed:issn |
1613-4516
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pubmed:author | |
pubmed:issnType |
Electronic
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pubmed:volume |
7
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pubmed:owner |
NLM
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pubmed:authorsComplete |
Y
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pubmed:meshHeading | |
pubmed:year |
2010
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pubmed:articleTitle |
ExPlanes: exploring planes in triplet data.
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pubmed:affiliation |
Institut für Mathematik, Angewandte Sekr Holschneider, Universität Potsdam, Campus Golm, Building 28, Karl-Liebknecht-Str 24 D-14476 Potsdam.
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pubmed:publicationType |
Journal Article
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