1 item has been added to your cart.

Learn about Bayesian model averaging and see examples of Bayesian model averaging features.

Watch Bayesian model averaging.

Also see overview examples.

Bayesian model averaging (BMA) for linear regression

• Model priors: uniform, binomial, and beta-binomial
• Many fixed and random g-priors
• Grouping of predictors
• Support of always-included predictors
• Heredity rules for interactions
• Support of factor variables and times-series operators
• Automatic grouping of factor variables and interactions

Model space

• Full model enumeration with fewer than 25 predictors
• MC3 sampling with fixed g parameter
• MC3 and MH sampling with random g parameter
• Options to control MCMC sampling
• Convergence diagnostics with sampling

BMA posterior summaries

• Analytical posterior means and standard deviations for regression coefficients with fixed g
• MCMC posterior means and standard deviations for regression coefficients with sampling
• Posterior summaries for random g and the shrinkage parameter
• Posterior model probabilities (PMPs) and cumulative PMPs
• Posterior inclusion probabilities (PIPs) for predictors
• Posterior model-size summaries

Simulating posterior distributions of model parameters

• Analytical posterior distributions
• MCMC-based posterior distributions

Model and variable-inclusion summary

• Models ranked by PMP
• Highest probability model (HPM)
• Median probability model (MPM)
• Models containing specific predictors

Posterior distributions of regression coefficients

• Density plots for one coefficient
• Density plots for multiple or for all coefficients
• Analytical posterior densities
• MCMC-sample posterior densities
• Posterior probability of noninclusion
• Customized graphs

Model-size distribution summaries

• Analytical prior mean and median model size
• Analytical posterior mean and median model size
• Frequency posterior mean and median model size

BMA plots

• Checking BMA convergence
• Prior and posterior model-size distribution plots
• Variable-inclusion maps
• Customized graphs

Jointness measures for predictors

• Doppelhofer—Weeks measure
• Ley—Steel type 1 measure
• Ley—Steel type 2 measure
• Yule's Q measure
• Modified Yule's Q measure

Log predictive-score (LPS)

• Analytical LPS
• Frequency-based LPS
• LPS summaries
• Entropy