Please note that the official course website is on Canvas (log in with CNetID), NOT here. This webpage is for those who are interested in STAT 23400 to get an idea of what the course is like.

Should I Take STAT 23400?

Prerequisites: 3-qtr of Calculus (MATH 133 or 153 or 183 or 162)

Please read the web pages Choosing Your Intro-Stat Course for comparisons among them.

In particular, see http://www.stat.uchicago.edu/~yibi/IntroStat/courseComparison.html for the comparisons STAT 220 v.s 234 and STAT 234 v.s. STAT 244-245.

Consult Yibi () if you’re interested the Statistics major or minor

Textbooks

Primary Textbook: Modern Mathematical Statistics with Applications (MMSA), 2nd ed by Devore and Berk

Supplementary Textbook (OIS4) — This is the textbook of STAT 220

Course Schedule and Slides

Week/Date Slides Content Textbook Coverage (MMSA)
Week 1 W, 9/28 L00_Syllabus Syllabus –
Week 1 W, 9/28 L01 Probability, Sample Space, Events, Set Theory Sections 2.1-2.2
Week 1 F, 9/30 L02 Probability Axioms, Complement Rule, General Addition Rule, Conditional Probability, General Multiplication Rule, Independence Sections 2.2, 2.4, 2.5
Week 2 M, 10/3 L03A Bayes’ Theorem Section 2.4
Week 2 M, 10/3 L03B Discrete Random Variables Sections 3.1-3.2
Week 2 W, 10/5 L04 Expected Values of Discrete Random Variables Section 3.3
Week 2 F, 10/7 L05 Binomial Distribution, Part 1 Section 3.5
Week 3 M, 10/10 L06A Binomial Distribution, Part 2 Section 3.5
Week 3 M, 10/10 L06B Continuous Random Variables Section 4.1
Week 3 W, 10/12 L07 Continuous Random Variables, pdf, cdf, expected values, variance, SD Sections 4.1-4.2
Week 3 F, 10/14 L08 Normal Distributions Section 4.3
Week 4 M, 10/17 L09 Joint Distributions Section 5.1
Week 4 W, 10/19 L10A Independent Random Variables Section 5.1
Week 4 W, 10/19 L10B Expected Value of Functions of Two Random Variables, Covariance Section 5.2
Week 4 F, 10/21 L11 (p.1-17) Covariance and Correlation Section 5.2
Week 5 M, 10/24 L11 (p.17-27) More Properties of Covariance, Linear Combinations of Random Variables Section 5.2
Week 5 M, 10/24 L12 Conditional Distributions, Conditional Expected Values, Bivariate Normal Distributions Section 5.3
Week 5 W, 10/26 L13 Central Limit Theorem Sections 6.1-6.2
Week 5 F, 10/28 – In-Class Midterm. No Lecture –
Week 6 M, 10/31 L14 Data Basics, Histograms, Mean, Median, Five-Number Summary, Boxplots Sections 1.1-1.4
Week 6 W, 11/2 L15A Sample Variance/SD Section 1.4
Week 6 11/2, 11/4 L15B16A Population & Sample; Point Estimates, Mean Squared Error, Unbiased Estimates Sections 1.1, 7.1
Week 7 11/4, 11/7 L16B Overview of Confidence Intervals Section 8.1
Week 7 M, 11/7 L17 Confidence Intervals Based on \(t\)-Distributions Sections 8.1-8.3
Week 7 W, 11/9 L18A Confidence Interval for Proportion, Sample Size Calculation Sections 8.1-8.2
Week 7 11/9,11/11 L18B (p.1-13) General Framework of Hypothesis Testing (Rejection Region and \(P\)-value Approach) Sections 9.1
Week 7 F, 11/11 L18B (p.1-13) General Framework of Hypothesis Testing (P-value Approach) Sections 9.1
Week 7-8, 11/11, 11/14 L19 Hypothesis Tests About a Population Mean Section 9.2
Week 8 11/14, 11/16 L20 t-tests for a Population Mean; Hypothesis Tests of a Proportion Sections 9.2, 9.3
Week 8 W, 11/16 L21 Two Sample Tests of Means Sections 10.1-10.2
Week 8 F, 11/18 L22 Analysis of Paired Data; Comparing Two Proportions Sections 10.3-10.4
11/21-11/27 – Thanksgiving Break –
Week 9 M, 11/28 L23A Sample Covariance & Correlation Sections 12.5
Week 9 M, 11/28 L23B Simple Linear Regression Model & Least Square Regression Line Sections 12.1-12.2
Week 9 W, 11/30 L24(p.1-26) Properties of the Least Square Regression Line. Sampling Distributions of the LS Estimates for the Slope and the Intercept Sections 12.2-12.3
Week 9 W, 12/2 L24(p.27-55) Hypothesis Tests & Confidence Intervals for the Slope & Intercept; Two Prediction Problems; Multiple R^2 Sections 12.2-12.3

Last Update: 01/09/2023