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Djordjilovic, Vera - Chiogna, Monica (2017) Searching for a Source of Difference: a Graphical Model Approach. [Working Paper] WORKING PAPER SERIES, 4/2017 . , PADOVA (Inedito)

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Abstract (inglese)

In this work, we look at a two-sample problem within the framework of Gaussian graphical models. When the global hypothesis of equality of two distributions is rejected, the interest is usually in localizing the source of di erence. Motivated by the idea that diseases can be seen as system perturbations, and by the need to distinguish between the origin of perturbation and components aected by the perturbation, we introduce the concept of a minimal seed set, and its graphical counterpart a graphical seed set. They intuitively consist of variables driving the dierence between the two conditions.
We propose a simple and fast testing procedure to estimate the graphical seed set from data, and study its nite sample behavior with a stimulation study.
We illustrate our approach in the context of gene set analysis by means of a publicly available gene expression dataset.


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Tipo di EPrint:Working Paper
Anno di Pubblicazione:Dicembre 2017
Parole chiave (italiano / inglese):Gaussian graphical models, Two sample problem, Decomposition, Hyper Markov laws, Gene set analysi
Settori scientifico-disciplinari MIUR:Area 13 - Scienze economiche e statistiche > SECS-S/01 Statistica
Struttura di riferimento:Dipartimenti > Dipartimento di Scienze Statistiche
Codice ID:11181
Depositato il:26 Feb 2018 09:41
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