Statistical Tests: Independence and Homogeneity

This lecture covers statistical tests for independence and homogeneity, focusing on chi-square tests. It starts with examples testing the influence of class participation on exam success. The lecture then delves into chi-square distributions, Fisher's exact test for small samples, and the lady tasting tea experiment. Visualizing data with mosaic plots is discussed, along with an example of discrimination in admissions. The lecture concludes with mosaic plots by department and a discussion on Simpson's paradox.