Statistics II: Probability Theory & Statistical Inference - STA506

Course Objectives

This course is a continuation of STAT 505, but moves towards data analytical applications. We will cover Chapters 7-11,13 in Wackerly, Mendenhall, and Scheaffer (WMS) in great detail. Chapter 6 will be reviewed briefly. In addition, we will discuss most of the topics from Chapters 11 & 13. This will be a repeat of information in STAT 512, but we will dive into the modeling theory a little more deeply. 

Course Topics

  • Central Limit Theorem
  • Point estimators (and properties thereof), confidence intervals, sufficiency, method of moments and maximum likelihood estimation, and hypothesis tests.
  • Linear and multiple regression, correlation, analysis of variance, and basic categorical data methods.
  • Introduction to Analysis of Categorical data
  • Nonparametric statistics.

Example Syllabus