Linear Models

Course Introduction

MATH/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;
• prove all major results of one- and two-way ANOVA;
• 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