## Biomedical data science

• ### Variational mixture of Bayesian probit regression models

This tutorial-like document shows how we can use variational inference to efficiently perform mixture of Bayesian probit regression models.

• ### Variational mixture of Gaussians

This tutorial-like document shows how we can use variational Bayes to efficiently perform inference in a Gaussian mixture model.

• ### Variational Bayesian linear regression model

This tutorial-like document shows how we can use variational inference to efficiently perform Bayesian linear regression.

• ### Beta binomial for overdispersion

This tutorial-like document shows how we can account for overdispersion in biological data by using the beta-binomial model and test for overdispersion using Tarone’s z-statistic.

• ### Gibbs sampling for Bayesian binomial probit model

This tutorial-like document shows how we can perform Bayesian binomial probit regression using the data augmentation approach and using the Metropolis-Hastings algorithm with a multivariate Gaussian proposal distribution.