منابع مشابه
Bayes Factors 1 Running head: BAYES FACTORS Default Bayes Factors for Model Selection in Regression
In this paper, we present a Bayes factor solution for inference in multiple regression. Bayes factors are principled measures of the relative evidence from data for various models or positions, including models that embed null hypotheses. In this regard, they may be used to state positive evidence for a lack of an effect, which is not possible in conventional significance testing. One obstacle ...
متن کاملBayes Factors 1
In a 1935 paper, and in his book Theory of Probability, Je reys developed a methodology for quantifying the evidence in favor of a scienti c theory. The centerpiece was a number, now called the Bayes factor, which is the posterior odds of the null hypothesis when the prior probability on the null is one-half. Although there has been much discussion of Bayesian hypothesis testing in the context ...
متن کاملBayes Factors : A Comparative
The problem of calculating posterior probabilities for a collection of competing models and associated Bayes factors continues to be a formidable challenge for applied Bayesian statisticians. Current approaches that take advantage of modern Markov chain Monte Carlo (MCMC) computing methods include those that attempt to sample over some form of the joint space created by the model indicators and...
متن کاملBayes Factors via Serial Tempering
Let M be a finite or countable set of models (here we only deal with finite M but Bayes factors make sense for countable M). For each model m ∈ M we have the prior probability of the model pri(m). It does not matter if this prior on models is unnormalized. Each model m has a parameter space Θm and a prior g(θ | m), θ ∈ Θm The spaces Θm can and usually do have different dimensions. That’s the po...
متن کاملBayes Factors and Model Uncertainty
In a 1935 paper, and in his book Theory of Probability, Jeffreys developed a methodology for quantifying the evidence in favor of a scientific theory. The centerpiece was a number, now called the Bayes factor, which is the posterior odds of the null hypothesis when the prior probability on the null is one-half. Although there has been much discussion of Bayesian hypothesis testing in the contex...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Significance
سال: 2006
ISSN: 1740-9705
DOI: 10.1111/j.1740-9713.2006.00204.x