J Integr Bioinform - ExPlanes: exploring planes in triplet data.

Tópicos

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Resumo

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.

Resumo Limpo

mani method analysi gene express protein metabolitedata focus investig binari relationship under biolog process creat data may generat relat higher bivari complex give novel method explan help explor certain type ternari relationship statist robust bayesian framework arriv character data structur contain triplet data investig dimension plane linear structur infer project data key part methodolog definit robust bayesian plane posterior assumpt invari prior gaussian error model numer represent plane posterior can explor interact beyond pure bayesian approach can use plane posterior construct famili posteriorbas test statist allow test data differ plane relat hypothes demonstr practic queri triplet metabol data plant cross experi presenc plane line pointstructur use posteriorbas test statist abl show distinct

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