Statistics 200: Introduction to Statistical Inference

Zhou Fan, Stanford University, Autumn 2016


Course schedule (tentative)

Unit 0 - Introduction and tools
Mon 9/26 Course introduction, polling Rice 7.1-7.3
Wed 9/28 Probability review Rice 4.5 (review Chapter 2, 4.1-4.2 if necessary)
Fri 9/30 Probability review (cont'd) Blitzstein/Hwang 7.5, Rice 6.2 (review Rice 3.2-3.3, 4.3 if necessary)
Fri 9/30, 3-4PM, Sequoia Hall room 200: Introduction to R
Mon 10/3 Asymptotics and simulation Rice 5.1-5.3
Unit 1 - Hypothesis testing
Wed 10/5 Testing a simple null hypothesis Rice 9.7-9.8
Fri 10/7 Simple alternatives, Neyman-Pearson lemma Rice 9.1-9.2
Mon 10/10 Composite hypotheses and the t-test Rice 6.3
Wed 10/12 Two-sample t-test and signed rank test Rice 11.1-11.2.1 (skip pgs. 426-427), 11.3.2-11.3.3
Fri 10/14 Rank sum test and permutation tests Rice 11.2.3 (pgs. 435-441), Wasserman 10.5
Mon 10/17 Experimental design Rice 11.2.2, 11.3-11.3.1, 11.4
Wed 10/19 Testing multiple hypotheses Wasserman 10.7
Fri 10/21: President inauguration (no class)

Unit 2 - Parametric inference
Mon 10/24 Parametric models, method of moments estimation Rice 8.1-8.4
Wed 10/26 Maximum likelihood estimation Rice 8.5-8.5.1
Fri 10/28 Consistency and asymptotic normality of the MLE Rice 8.5.2
Mon 10/31 Fisher information, the Cramer-Rao lower bound Rice 8.7
Tue 11/1, 6:30-8:30PM, Room 320-105: Midterm exam
Wed 11/2 MLE under model misspecification Notes by CJ Geyer, 1.1-1.7 and 2.1-2.4
Fri 11/4 Plug-in estimators, the delta method Rice 4.6, Wasserman 5.5
Mon 11/7 Confidence intervals Rice 7.3.3 (pgs. 217-220), 8.5.3
Wed 11/9 The bootstrap Wasserman 8.1-8.3, Rice 8.5.3 (pgs. 284-285), Rice 10.4.6
Fri 11/11 Bayesian analysis Rice 8.6
Mon 11/14 Prior distributions Rice 8.6.1-8.6.2
Wed 11/16 Generalized likelihood ratio test Rice 9.4
Fri 11/18 Testing in contingency tables Rice 9.5, 13.3, 13.4
Mon 11/21 - Fri 11/25: Thanksgiving recess (no class)

Unit 3 - Introduction to statistical models
Mon 11/28 The Bradley-Terry model
Wed 11/30 The linear model
Fri 12/2 Logistic regression
Mon 12/5 Poisson regression
Wed 12/7 The proportional hazards model
Fri 12/9 Course review, looking ahead
Fri 12/16, 8:30-11:30AM, Mudd Chemistry Building AUD: Final exam