The `BAS`

R
package is designed to provide an easy to use package and fast code for
implementing Bayesian Model Averaging and Model Selection in
`R`

using state of the art prior distributions for linear and
generalized linear models. The prior distributions in `BAS`

are based on Zellner’s g-prior or mixtures of g-priors for linear and
generalized linear models. These have been shown to be consistent
asymptotically for model selection and inference and have a number of
computational advantages. `BAS`

implements three main
algorithms for sampling from the space of potential models: a
deterministic algorithm for efficient enumeration, adaptive sampling
without replacement algorithm for modest problems, and a MCMC algorithm
that utilizes swapping to escape from local modes with standard
Metropolis-Hastings proposals.

The stable version can be installed
easily in the `R`

console like any other package:

`install.packages('BAS')`

On the other hand, I welcome everyone to use the most recent version
of the package with quick-fixes, new features and probably new bugs.
It’s currently hosted on GitHub. To get the
latest development version from GitHub, use the
`devtools`

package from CRAN and enter in
`R`

:

`::install_github('merliseclyde/BAS') devtools`

You can check out the current build status before installing.

Installing the package from source does require compilation of C and FORTRAN code as the library makes use of BLAS and LAPACK for efficient model fitting. See CRAN manuals for installing packages from source under different operating systems.

To begin load the package:

`library(BAS)`

The two main function in `BAS`

are `bas.lm`

and
`bas.glm`

for implementing Bayesian Model Averaging and
Variable Selection using Zellner’s g-prior and mixtures of g priors.
Both functions have a syntax similar to the `lm`

and
`glm`

functions respectively. We illustrate using
`BAS`

on a simple example with the famous Hald data set using
the Zellner-Siow Cauchy prior via

```
data(Hald)
= bas.lm(Y ~ ., data=Hald, prior="ZS-null", modelprior=uniform(), method="BAS") hald.ZS
```

`BAS`

has `summary`

, `plot`

`coef`

, `predict`

and `fitted`

functions like the `lm`

/`glm`

functions. Images of
the model space highlighting which variable are important may be
obtained via

`image(hald.ZS)`

Run `demo("BAS.hald")`

or `demo("BAS.USCrime")`

or see the package vignette for more examples and options such as using
MCMC for model spaces that cannot be enumerated.

`BAS`

now includes for support for binomial and binary
regression, Poisson regression, and Gamma regression using Laplace
approximations to obtain Bayes Factors used in calculating posterior
probabilities of models or sampling of models. Here is an example using
the Pima diabetes data set with the hyper-g/n prior:

```
library(MASS)
data(Pima.tr)
= bas.glm(type ~ ., data=Pima.tr, method="BAS", family=binomial(),
Pima.hgn betaprior=hyper.g.n(), modelprior=uniform())
```

Note, the syntax for specifying priors on the coefficients in
`bas.glm`

uses a function with arguments to specify the
hyper-parameters, rather than a text string to specify the prior name
and a separate argument for the hyper-parameters. `bas.lm`

will be moving to this format sometime in the future.

Feel free to report any issues or request features to be added via the github issues page.

For current documentation and vignettes see the BAS website

This material is based upon work supported by the National Science Foundation under Grant DMS-1106891. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.