Stat 135: Concepts of Statistics

UC Berkeley, Spring 2026

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Welcome to Stat 135!

IMPORTANT

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Schedule

Week 1

Jan 21: Lecture 1 Overview Syllabus Diagnostic Test
Jan 23: Lecture 2 Introduction to Survey Sampling (7.1, 7.2)

Week 2

Jan 26: Lecture 3 Inference in Survey Sampling (7.3) Homework 1
Jan 27: Lab 1 Lab 1: Review of Probability and R Probability Theory Refresher R Introduction
Jan 28: Lecture 4 Confidence Intervals for Population Parameters (7.3)
Jan 30: Lecture 5 Method of Moments Estimation (8.2 - 8.4)

Week 3

Feb 2: Lecture 6 More about Estimators, and Mathematical Digressions Homework 2
Feb 3: Lab 2 Lab 2 Lab 2 Exercises Lab 2 Rmd
Feb 4: Lecture 7 Computing Standard Errors of MoM Estimators (8.4)
Feb 6: Lecture 8 Computing Standard Errors, continued

Week 4

Feb 9: Lecture 9 The Bootstrap and introducing Maximum Likelihood Estimation (8.5.1) Homework 3
Feb 10: Lab 3 Lab 3 Lab 3 File Lab 3 Qmd
Feb 11: Lecture 10 Maximum Likelihood Estimation (8.5)
Feb 12: Quiz 1 (Feb 12 AND 13 at the CBTF) Survey Sampling and Method of Moments
Feb 13: Lecture 11 MLEs for the Multinomial distribution (8.5.1)

Week 5

Feb 16: Holiday Presidents' Day Homework 4
Feb 17: Lab 4 Lab 4 Lab 4 Exercises Lab 4 Rmd
Feb 18: Lecture 12 MSE and Consistency
Feb 20: Lecture 13 Consistency of the MLE (8.5.2)

Week 6

Feb 23: Lecture 14 Asymptotic Distribution of the MLE (8.5.2) Homework 5
Feb 24: Lab 5 Lab 5 Lab 5 Exercises Lab 5 Rmd
Feb 25: Lecture 15 Proof of Asymptotic Normality, and Confidence Intervals (8.5.2, 8.5.3)
Feb 26: Quiz 2 (Feb 26 AND 27 at the CBTF) Maximum Likelihood Estimators
Feb 27: Lecture 16 Confidence Intervals from MLEs, and Efficiency (8.7)

Week 7

Mar 2: Lecture 17 Proof of Cramér-Rao Inequality/Lower Bound
Mar 3: Lab 6 Lab 6 Lab 6 Exercises
Mar 4: Lecture 18 Sufficiency, and the Factorization Theorem
Mar 6: Lecture 19 Proof of the Factorization theorem and the Rao-Blackwell Theorem

Week 8

Mar 9: Lecture 20 Proof of the Rao-Blackwell Theorem and Properties of Estimators
Mar 10: Lab 7 Lab 7 Lab 7 Exercises
Mar 11: Lecture 21 Introducing Hypotheses Tests
Mar 11: Midterm 1 (7-9pm PT on Mar 11 at the VLSB 2050) Chapters 7 (7.1, 7.2, 7.3, 7.6) and 8 (8.1 - 8.5, 8.7, and part of 8.8, 8.9) of the text, not including section 8.6.
Mar 13: Lecture 22 An Example of a Hypothesis Test using the Likelihood Ratio

Week 9

Mar 16: Lecture 23 The Neyman-Pearson Lemma
Mar 17: Lab 8 Lab 8 Lab 8 Exercises
Mar 18: Lecture 24
Mar 20: Lecture 25

Week 10

Mar 23: Holiday Spring Break Homework 6 (Due Mon Apr 6)
Mar 24: Holiday Spring Break
Mar 25: Holiday Spring Break
Mar 27: Holiday Spring Break

Week 11

Mar 30: Lecture 26
Mar 31: Lab 9 Lab 9 Lab 9 Exercises
Apr 1: Lecture 27
Apr 3: Lecture 28

Week 12

Apr 6: Lecture 29 Generalized Likelihood Ratio Test for the Multinomial Model Homework 7 (Due Mon Apr 13)
Apr 7: Lab 10 Lab 10 Lab 10 Exercises
Apr 8: Lecture 30 Hypotheses Tests for Categorical Data
Apr 9: Quiz 3 (Apr 9 AND 10 at the CBTF) Hypothesis Testing (Chapters 9.1-9.5)
Apr 10: Lecture 31 Fisher's Exact Test

Week 13

Apr 13: Lecture 32 Chi-square Test of Homogeneity Homework 8 (Due Mon Apr 20)
Apr 14: Lab 11 Lab 11 Lab 11 Exercises
Apr 15: Lecture 33 Chi-square Test of Independence
Apr 17: Lecture 34 Matched-Pair Designs

Week 14

Apr 20: Lecture 35 Two sample tests - The t-test Homework 9 (Due Mon Apr 27)
Apr 21: Lab 12 Lab 12 Lab 12 Exercises Lab 12 Rmd
Apr 22: Lecture 36 Two sample tests - Power computations
Apr 24: Lecture 37 Two sample tests - Nonparametric Tests

Week 15

Apr 27: Lecture 38 Two sample tests - Continuing Nonparametric Tests Homework 10 (Due Tue May 5)
Apr 28: Lab 13 Lab 13 Lab 13 Exercises Lab 13 Rmd
Apr 29: Lecture 39
Apr 30: Quiz 4 (Apr 30 AND May 1 at the CBTF) Tests on categorical data; Tests on two independent samples; Power Computation
May 1: Lecture 40

Week 16

May 5: Lab 14 Lab 14 Lab 14 Exercises
May 8: Lecture 41 Review Section (TBD)
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