Difference between revisions of "Bayesian model selection"

From Conservapedia
Jump to navigation Jump to search
(a start)
 
Line 1: Line 1:
'''Bayesian model selection''' is a technique in probability theory for choosing a [[hypothesis]] (model) to fit observed data.  
+
In [[Bayesian Probability]], '''Bayesian model selection''' is a method for choosing the best [[hypothesis]] (model) out of a set of competing models which best explains some observed data. Best here is measured by the [[Bayesian posterior odds]] ratio of the winner compared against all other candidates in the competition.  The '''posterior odds ratio''' is the product of the [[Bayes Factor]] and the [[Bayes prior]] odds ratio.
 +
 
  
The model selection implicitly prefers simpler models, and it ensures that the right model, if it exists, will be selected as the size of the dataset increases to infinity.
 
 
[[category:statistics]]
 
[[category:statistics]]

Revision as of 14:14, December 8, 2007

In Bayesian Probability, Bayesian model selection is a method for choosing the best hypothesis (model) out of a set of competing models which best explains some observed data. Best here is measured by the Bayesian posterior odds ratio of the winner compared against all other candidates in the competition. The posterior odds ratio is the product of the Bayes Factor and the Bayes prior odds ratio.