Introducing Bayesian Analysis with $text{m&ms}^circledR$: an active-learning exercise for undergraduates

We present an active-learning strategy for undergraduates that applies Bayesian analysis to candy-covered chocolate $text{m&ms}^circledR$. The exercise is best suited for small class sizes and tutorial settings, after students have been introduced to the concepts of Bayesian statistics. The exercise takes advantage of the non-uniform distribution of $text{m&ms}^circledR~$ colours, and the difference in distributions made at two different factories. In this paper, we provide the intended learning outcomes, lesson plan and step-by-step guide for instruction, and open-source teaching materials. We also suggest an extension to the exercise for the graduate-level, which incorporates hierarchical Bayesian analysis.