INTRODUCTION TO THEORY AND METHODS OF MATHEMATICAL STATISTICS II

Prerequisites & course information

Requisites: STAT/MATH 309 , STAT 311 , STAT/MATH 431 , MATH 531 , or graduate/professional standing Course Designation: Core GenEd - Natural Science & Wellness Breadth - Natural Science Level - Advanced L&S Credit - L&S Liberal Arts and Science Repeatable for Credit: No Last Taught: Spring 2026 Learning Outcomes: 1. Be able to use probability theory to understand and utilize three principal tools of statistical inference: point estimators, confidence intervals, and hypothesis tests. Audience: Undergraduate 2. Understand and be able to use standard statistical procedures for analyzing numerical data in certain contexts. These include inference for the mean based on a single random sample; comparing two means based on two random samples; Analysis of Variance; simple linear regression. Audience: Undergraduate 3. Understand and be able to use standard statistical procedures for analyzing binary and categorical data in certain contexts. These include one- and two-sample inference for proportions, and the analysis of one- and two-way contingency tables for multi-category data. Audience: Undergraduate 4. Identify the assumptions behind statistical procedures and understand their importance. Be able to recognize when techniques based on standard reference distributions (normal, chi-square, T- and F-distribution) are valid or not, and be able to utilize certain alternatives such as exact or nonparametric methods when they are required or preferable. Audience: Undergraduate Learning Outcomes: 1. Be able to use probability theory to understand and utilize three principal tools of statistical inference: point estimators, confidence intervals, and hypothesis tests. Audience: Undergraduate 2. Understand and be able to use standard statistical procedures for analyzing numerical data in certain contexts. These include inference for the mean based on a single random sample; comparing two means based on two random samples; Analysis of Variance; simple linear regression. Audience: Undergraduate 3. Understand and be able to use standard statistical procedures for analyzing binary and categorical data in certain contexts. These include one- and two-sample inference for proportions, and the analysis of one- and two-way contingency tables for multi-category data. Audience: Undergraduate 4. Identify the assumptions behind statistical procedures and understand their importance. Be able to recognize when techniques based on standard reference distributions (normal, chi-square, T- and F-distribution) are valid or not, and be able to utilize certain alternatives such as exact or nonparametric methods when they are required or preferable. Audience: Undergraduate