Independence models among variables is one of the most relevant topics in epidemiology, particularly in molecular epidemiology for the study of gene-gene and gene-environment interactions. They have been studied using three main kinds of analysis: regression analysis, data mining approaches and Bayesian model selection. Recently, methods of algebraic statistics have been extensively used for applications to biology. In this paper we present a synthetic, but complete description of independence models in algebraic statistics and a new method of analyzing interactions, that is equivalent to the correction by Markov bases of the Fisher's exact test.

Algebraic Methods for Studying Interactions Between Epidemiological Variables

RICCERI, FULVIO;MATULLO, Giuseppe;ROGGERO, Margherita;VINEIS, Paolo;TERRACINI, Lea
2012

Abstract

Independence models among variables is one of the most relevant topics in epidemiology, particularly in molecular epidemiology for the study of gene-gene and gene-environment interactions. They have been studied using three main kinds of analysis: regression analysis, data mining approaches and Bayesian model selection. Recently, methods of algebraic statistics have been extensively used for applications to biology. In this paper we present a synthetic, but complete description of independence models in algebraic statistics and a new method of analyzing interactions, that is equivalent to the correction by Markov bases of the Fisher's exact test.
7
3
227
252
polymorphism; interaction; Markov basis; Diaconis-Sturmfels algorithm; independence model; toric variety
Fulvio Ricceri; Claudia Fassino; Giuseppe Matullo; Margherita Roggero; Maria Laura Torrente; Paolo Vineis; Lea Terracini
File in questo prodotto:
File Dimensione Formato  
MMNP2012.pdf

Accesso aperto

Tipo di file: PDF EDITORIALE
Dimensione 283.31 kB
Formato Adobe PDF
283.31 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/104127
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact