Title
Bayesian Dependence Tests for Continuous, Binary and Mixed Continuous-Binary Variables.
Abstract
Tests for dependence of continuous, discrete and mixed continuous-discrete variables are ubiquitous in science. The goal of this paper is to derive Bayesian alternatives to frequentist null hypothesis significance tests for dependence. In particular, we will present three Bayesian tests for dependence of binary, continuous and mixed variables. These tests are nonparametric and based on the Dirichlet Process, which allows us to use the same prior model for all of them. Therefore, the tests are "consistent" among each other, in the sense that the probabilities that variables are dependent computed with these tests are commensurable across the different types of variables being tested. By means of simulations with artificial data, we show the effectiveness of the new tests.
Year
DOI
Venue
2016
10.3390/e18090326
ENTROPY
Keywords
Field
DocType
dependence,Bayesian independence test,Dirichlet Process
Frequentist inference,Dirichlet process,Commensurability (mathematics),Null hypothesis,Nonparametric statistics,Statistics,Mathematics,Binary number,Bayesian probability
Journal
Volume
Issue
ISSN
18
9
1099-4300
Citations 
PageRank 
References 
0
0.34
6
Authors
2
Name
Order
Citations
PageRank
Alessio Benavoli122930.52
Cassio Polpo De Campos254042.21