1. A frequentist assessment of Bayesian inclusion probabilities for screening predictors.
- Author
-
Lee, Albert H. and Boone, Edward L.
- Subjects
- *
BAYESIAN analysis , *MARKOV processes , *MONTE Carlo method , *MATHEMATICAL models , *PROBABILITY theory , *ERROR rates , *PREDICTION theory , *ARABIDOPSIS thaliana - Abstract
Bayesian inclusion probabilities have become a popular tool for variable assessment. From a frequentist perspective, it is often difficult to evaluate these probabilities as typically no Type I error rates are considered, neither are any explorations of power of the methods given. This paper considers how a frequentist may evaluate Bayesian inclusion probabilities for screening predictors. This evaluation looks at both unrestricted and restricted model spaces and develops a framework which a frequentist can utilize inclusion probabilities that preserve Type I error rates. Furthermore, this framework is applied to an analysis of the Arabidopsis thaliana with respect to determining quantitative trait loci associated with cotelydon opening angle. [ABSTRACT FROM AUTHOR]
- Published
- 2011
- Full Text
- View/download PDF