Statistical Theory & Methods 3 (320-3-20)

Instructors

Arend M Kuyper
IPR, 2040 Sheridan Road, Evanston

Meeting Info

Fisk Hall 217: Tues, Thurs 12:30PM - 1:50PM

Overview of class

Course Objective: To cover advanced topics of statistical inference. We will compare parameters of multiple populations, assess the goodness-of-fit for statistical models, discuss regression analysis, and develop nonparametric hypothesis testing procedures which can be used under very mild assumptions on the sample data.

Registration Requirements

Prerequisites: Stat 320-2 and Math 240-0

Learning Objectives

(1) Identify when to use the statistical methods covered throughout the course.

(2) Implement the statistical methods covered throughout the course on real data.

(3) Derive and prove properties of the statistical methods covered throughout the course using standard techniques from mathematical statistics and calculus.

(4) Articulate and explain statistical concepts covered in the course using clear language, visual aids, and real-world examples.

Teaching Method

We will a flipped/blended design, meaning a sizable portion of class time will be dedicated to working on activities and homework/mastery problems. A typical class will devote 30- 40 minutes to discussion/lecture, with the remaining time devoted to activities and homework/mastery problems where we work together to build a deeper understanding of course materials. Ideally, the first 30-40 minutes of discussion/lecture will be driven by students through the submission of questions or request for clarifications prior to class time - mechanism will be in place to facilitate this process.

Given the course design, students will be expected to adequately prepare for each discussion/lecture by reviewing assigned material (e.g. readings, videos, etc…) because class time will be focused on pre-submitted questions and then working on activities/homework designed to reinforce understanding of course concepts. Students will be expected to collaborate and engage with other students to solve problems and help each other learn.

Evaluation Method

Students will be evaluated through small assignments, weekly homework assignments, and 2 exams. Other assessment types may also be used at the instructor's discretion.

Class Materials (Required)

An Introduction to Mathematical Statistics and Its Applications, 6th edition. R.J. Larsen and M.L. Marx Pearson ISBN: 978-0134114217.

Amazon price as of January 2026 is $97.49 (used hardcover) and $94.99 (eTextbook). The publisher's price (Person) as of January 2026 is $191.99 (new hardcover) and $89.94 (eTextbook) - they also have rental options.

Class Attributes

Formal Studies Distro Area

Enrollment Requirements

Enrollment Requirements: Pre-registration is reserved for Statistics Majors and Minors only. Prerequisites: STAT 320-2 and MATH 240-0 or MATH 285-1 or MATH 281-3 or MATH 290-1or MATH 291-1 or GEN_ENG 205-1 or GEN_ENG 206-1