Teaching Bayes' Rule using Mosaic Plots

Document Type

Article

Publication Date

11-30-2021

Abstract

Students taking statistical courses orientated for business or economics often find the standard presentation of Bayes' Rule challenging. This key concept involves understanding multiple conditional probabilities and how they constitute an unconditional sample space. Many textbooks try to aid the comprehension of Bayes' Rule by illustrating these probabilities with tree diagrams. In our opinion, these diagrams fall short in fully assisting the students to visualize Bayes' Rule. In this article, we demonstrate a graphical approach that we have successfully used in the classroom, but is neglected in introductory texts. This approach uses mosaic plots to show the weighting of the conditional probabilities and greatly aids the student in understanding the sample space and its associated probabilities.

Comments

The "Link to Full Text" on this page loads the arXiv.org e-print hosted at the arXiv repository.

This work is published under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) license, which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way.

DOI

https://arxiv.org/abs/2112.00162

Source Publication

arXiv.org repository

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