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- Title
Bayesian analysis of GUHA hypotheses.
- Authors
Piché, Robert; Järvenpää, Marko; Turunen, Esko; Šimůnek, Milan
- Abstract
The LISp-Miner system for data mining and knowledge discovery uses the GUHA method to comb through a large data base and finds 2 × 2 contingency tables that satisfy a certain condition given by generalised quantifiers and thereby suggest the existence of possible relations between attributes. In this paper, we show how a more detailed interpretation of the data in the tables that were found by GUHA can be obtained using Bayesian statistical methods. Using a multinomial sampling model and Dirichlet prior, we derive posterior distributions for parameters that correspond to GUHA generalised quantifiers. Examples are presented illustrating the new Bayesian post-processing tools implemented in LISp-Miner. A statistical model for the analysis of contingency tables for data from two subpopulations is also presented.
- Subjects
CONTINGENCY tables; DIRICHLET forms; BAYESIAN analysis; DISTRIBUTION (Probability theory); PROGRAMMING languages
- Publication
Journal of Intelligent Information Systems, 2014, Vol 42, Issue 1, p47
- ISSN
0925-9902
- Publication type
Academic Journal
- DOI
10.1007/s10844-013-0255-6