Linear Models

Course Introduction

STAT 225 is Knox College’s undergraduate linear models course. The primary goals of all statistics courses are to get you to think statistically. This means you understand the effects of

• randomness on your understanding of the world,
• sampling on that randomness, and
• the research question on data acquisition and analysis.

In addition to the overarching program goals, there are several goals specific to this particular course. The student will be able to

• prove all major results of ordinary least squares (OLS) regression;
• test OLS assumptions and mitigate violations of OLS assumptions;
• use regression methods beyond OLS such as
  • median regression
  • MLE regression
  • generalized linear models
  • vector generalized linear models
  to better reflect the hypothesis and the data; and
• use R to perform appropriate statistical analysis