Mathematical Statistics. Lecture 9. Analysis of Variance (part 1)

Lecture 9 develops the techniques introduced in the last lecture and discusses the method for the comparison of several population means called analysis of variance, of ANOVA. Timeline: 00:00 Introduction and motivation 05:08 The oneway layout 06:47 Data and summary statistics 20:30 The idea of ANOVA 22:49 The statistical model of OneWay ANOVA 36:14 The variance decomposition 54:07 Example 1:04:50 The OneWay ANOVA hypothesis test 1:12:50 ANOVA table 1:19:36 ANOVA table with Excel 1:21:16 Conclusion The course Mathematical Statistics for the 2nd year bachelors in Economics Taught at BRICS institute, Irkutsk National Research Technical University, Spring semester 2022