Goodness-of-fit Tests in Statistics

This lecture covers the concept of goodness-of-fit tests in statistics, focusing on X² tests, revision analysis of categorical data, and the test statistic formula. It explains how to test for goodness-of-fit to a theoretical distribution, the use of the test for discrete and continuous distributions, and provides examples to illustrate the application of these tests. The lecture also delves into the test of independence intuition, the construction of bivariate tables, and the comparison of observed and hypothetical tables to determine significant relationships. Additionally, it discusses the test of independence between two characteristics, the calculation of joint probabilities, and the expected numbers in each cell under the null hypothesis of independence.