Comparison of Some Spike-and-Slab Priors for Bayesian Variable Selection in Multiple Linear Regression

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dc.contributor.authorOyeyemi, G. M.
dc.contributor.authorOlanrewaju, Y. A.
dc.contributor.authorKolawole, R. O.
dc.date.accessioned2023-07-27T09:15:06Z
dc.date.available2023-07-27T09:15:06Z
dc.date.issued2019
dc.description.abstractVariable selection has been a very essential challenge in building a multiple regression model. Exclusion of influential covariates or including covariate with zero effect will no doubt affect the estimation precision and as well the predictive accuracy of the model. “Spike-and-Slab prior” is an increasingly popular variable selection approach used in the Bayesian framework, which aids the variable selection and the estimation of regression parameters. In this research, the performances of the MCMC implementation for some versions of spike and slab priors for variable selection in normal linear regression models were investigated with regards to posterior inclusion probability for the simulated data under different setting (independent and correlated covariates, difference variance scales and varying sample sizes). Evidence from the simulation study revealed that the selected priors have similar performance under the independent setup and correlated setup, but the standard errors of coefficient estimates are higher for correlated covariates compare to independent covariates. The mean estimates of the coefficients get closer to the true coefficient values as the sample size increases under all different priors considered, and also the posterior inclusion probability depends on the size of variance of the slab component.en_US
dc.description.sponsorshipSelf-sponsoreden_US
dc.identifier.citationPacific Journal of Science and Technologyen_US
dc.identifier.urihttps://uilspace.unilorin.edu.ng/handle/20.500.12484/11649
dc.language.isoenen_US
dc.publisherAkamai University, U.S.Aen_US
dc.relation.ispartofseries20(1);131 - 140
dc.subjectCovariates,Posterior distribution, Precision, Regression coefficients, Spike-and-slab priorsen_US
dc.titleComparison of Some Spike-and-Slab Priors for Bayesian Variable Selection in Multiple Linear Regressionen_US
dc.typeArticleen_US

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