STAT22200 Linear Models And Experimental Designs

Spring 2022

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 22200 to get an idea of what the course is like.

Click STAT 22200-2021 and STAT 22200-2019 to view the older STAT 222 webpages for Spring 2021 and 2019.

Prerequisites

STAT 22000 or 23400 with a grade of at least B-; or 24500, 24510, or PBHS 32100, or AP Statistics credit, or equivalent. and two-quarters of calculus (MATH 13200, 15200, or 16200 or above).

• STAT 22200 counts as a List B elective for the Statistics major and an elective for the Statistics minor

Course Description

This course covers principles and techniques for the analysis of experimental data and the planning of the statistical aspects of experiments. Topics include linear models; analysis of variance; randomization, blocking, factorial designs; confounding; and incorporation of covariate information.

Textbooks

• Primary Textbook: Design and Analysis of Experiments (2nd edition 2017) by Angela Dean, Daniel Voss, and Danel Dragulji'c
  • Download the ebook of the textbook from the UChicago Library at: https://link-springer-com.proxy.uchicago.edu/book/10.1007/978-3-319-52250-0. (using Unversity Internet or using the university cVPN, https://cvpn.uchicago.edu if off-campus. If you don’t have cVPN installed on your computer, download the Cisco Anyconnect client for your system from cvpn.uchicago.edu. Then launch it and connect to cvpn.uchicago.edu)
• Former textbook for STAT 222 used in 2014-2021: A First Course in Design and Analysis of Experiments (Oehlert, 2000) Available online for free at http://users.stat.umn.edu/~gary/Book.html by the courtesy of the author, Professor Oehlert.
• A highly recommended book on Applied Statistics and Data Analysis: Statistical Sleuth (3rd edition) by Ramsey & Schafer This book is a bible on data analysis, covering contents in STAT 222, 224 and 226.

Course Schedule and Slides

Week/Date	Topic and Slides	Textbook (Dean & Voss) Coverage
Week 1 – March 28, 30	One-Way ANOVA (Multi-Sample Problems)	Section 3.3-3.5, 3.9
Week 1&2 – April 1,4	Pairwise Comparisons and Contrasts	Section 4.1-4.3, 4.7
Week 2 – April 6, 8	Multiple Comparisons	Section 4.4, 4.7
Week 3 – April 11	Power and Sample Size Calculation)	Section 3.6
Week 3 – April 13, 15 Week 4 – April 18	Model Assumption Checking and Remedies	Section 5.1-5.7, 5.9
Week 3 – April 14-15	Quiz 1	–
Week 4 – April 21, 22	Two-Way Factorial Designs	Section 6.1-6.5, 6.9
Week 5 – April 25, 27	General Factorial Designs	Section 7.1-7.4
Week 5 – April 29	Midterm Exam. No Class	-
Week 6 – May 2, 4	Contrasts and Multiple Comparisons for Factorial Designs	Section 6.3, 6.4.3, 6.5, 6.9.2, 7.4
Week 6 – May 6	Single-Replicate Data	Section 7.5
Week 7 – May 9, 11	Randomized Complete Block Designs, (Replicated) Latin Square Designs	Chapter 10, 12
Week 7 – May 13-14	Quiz 2	–
Week 7 – May 13 Week 8 – May 16, 18	Balanced Incomplete Block Designs (BIBD)	Chapter 11
Week 8 – May 18,20	Block Designs w/ Factorial Treatments, Contrasts for BIBD	Section 10.8,11.7, 12.7, 12.9
Week 8 – May 20	Two-Level Factorial Designs and Half-Normal Probability Plots	Section 7.5.2
Week 9 – May 23	Confounded 2-level Factorial Designs in 2 Blocks	Chapter 13
Week 9 – May 25	Confounded 2-level Factorial Designs in 4 or 8 Blocks	Chapter 13