Bayesian Approach for Two Binomial Samples

We now show how to apply various Bayesian techniques to two samples whose data follow a binomial distribution. E.g. suppose we toss two coins multiple times and investigate the percentage of heads from each coin. We will assume that the coins are independent in the sense that these percentages are independent of each other.

Topics

• Analytic Approach
• Grid Approximation
• Metropolis Algorithm
• Gibbs Sampler

Link

↑ Bayesian statistics for binomial distributions

References

Kruschke, J. K. (2015) Doing Bayesian data analysis. 2nd Ed. Elsevier
https://sites.google.com/site/doingbayesiandataanalysis/

Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., Rubin, D. B. (2014) Bayesian data analysis, 3^rd Ed. CRC Press
https://statisticalsupportandresearch.files.wordpress.com/2017/11/bayesian_data_analysis.pdf

Marin, J-M and Robert, C. R.  (2014) Bayesian essentials with R. 2^nd Ed. Springer
https://www.springer.com/gp/book/9781461486862

Jordan, M. (2010) Bayesian modeling and inference. Course notes
https://people.eecs.berkeley.edu/~jordan/courses/260-spring10/lectures/index.html

Lee, P. M. (2012) Bayesian statistics an introduction. 4^th Ed. Wiley
https://www.wiley.com/en-us/Bayesian+Statistics%3A+An+Introduction%2C+4th+Edition-p-9781118332573