Hypothesis Testing
An introduction to statistical hypothesis testing for 1A ENSAI students: testing models, classical tests on Gaussian populations, goodness-of-fit and homogeneity, tests for dependency, and multiple testing. See the Glossary for English/French translations and the note on Density and Likelihood for background.
Chapters
🧪 Testing Models Statistical models, hypotheses, level and power. ▶ Slides Fr ▶ En 📄 Notes
📈 Usual Distributions The χ², Student and Fisher laws behind the tests. ▶ Slides Fr ▶ En
🔔 Classical Tests on Gaussian Populations Tests on the mean and variance; two-sample comparisons. ▶ Slides Fr ▶ En 📄 Notes
🎲 Goodness of Fit and Homogeneity χ² goodness-of-fit and homogeneity tests. ▶ Slides Fr ▶ En 📄 Notes
🔗 Tests for Dependency Independence and correlation tests in contingency tables. ▶ Slides Fr ▶ En 📄 Notes
🧮 Multiple Testing and Detection Rates Multiple testing, FWER / FDR, and minimax detection. ▶ Slides Fr