Analysis of Variance: Principles and Applications

This lecture covers the principles and applications of Analysis of Variance (ANOVA), a statistical method used to test for differences in means across multiple groups. Starting with the test principle and hypotheses, it delves into the models, assumptions, and diagnostic plots involved in ANOVA. The lecture also discusses the post-hoc tests for pairwise comparisons, the control of Type I error rate, and the Bonferroni method for adjusting significance levels. Real-world examples, such as clinical trials and brain dominance studies, are used to illustrate the concepts. The lecture concludes with the interpretation of ANOVA results and the significance of rejecting the null hypothesis.