# BSGS.Simple: The group-wise Gibbs sampler for sparse group selection. In BSGS: Bayesian Sparse Group Selection

## Description

Generate the posterior samples to perform Bayesian sparse group selection to identify the important groups of variables and variables within those.

## Usage

 1 2 3 BSGS.Simple(Y, X, Group.Index, r.value, eta.value, beta.value, tau2.value, rho.value, theta.value, sigma2.value, nu, lambda, Num.of.Iter.Inside.CompWise, Num.Of.Iteration, MCSE.Sigma2.Given) 

## Arguments

 Y vector of observations of length n. X design matrix of dimension n \times p. Group.Index Specify the group label to which the variable belongs. r.value Initial values of indicator variables for individual variables. eta.value Initial values of indicator variables for the group variables. beta.value Initial values of regression coefficients, β. tau2.value Variance in the prior distribution for regression coefficients. rho.value Prior inclusion probability for a variable. theta.value Prior inclusion probability for a group. sigma2.value Initial value of σ^2. nu The hyperparameter in the prior distribution of σ^2. lambda The hyperparameter in the prior distribution of σ^2. Num.of.Iter.Inside.CompWise Specify the number of iterations within component wise Gibbs sampler for variable selection within a group. Num.Of.Iteration Specify the number of iterations for sparse group variable selection. MCSE.Sigma2.Given Prespecified value which is used to stop simulating samples. When the MCSE of estimate of σ^2 less than the given value, the simulation is terminated.

## Value

A list is returned with posterior random samples of regression coefficients, β, binary variables for group selection, η, binary variables for variable selection, γ, variance, σ^2 and the number of iterations performed and the elapsed time in second required for the run.

## Examples

 1 2 3 4 5 6 7 8 9 ## Not run: output = BSGS.Simple(Y, X, Group.Index, r.value, eta.value, beta.value, tau2.value, rho.value,theta.value, sigma2.value, nu, lambda, Num.of.Iter.Inside.CompWise, Num.Of.Iteration, MCSE.Sigma2.Given) ## End(Not run) 

BSGS documentation built on May 2, 2019, 4:21 a.m.