Week 5

Ordinal Regression

Materials for meeting on

February 26, 2024

Before class

Articles

The R package brms (which is a Bayesian data analysis package) is used in the papers below. While it is a Bayesian technique, the output is similar to a regression output.

Questions

  • Describe what is meant by an ordinal variable

  • Describe how an ordinal variable can be represented using a latent continuous variable

  • What is cumulative probability?

  • List some common applications of ordinal regression in your field

  • How do you interpret the coefficients in an ordinal regression model?

  • What is the proportional odds assumption underlying ordinal regression? What do you do when it is violated?

Class

After class

Textbook

  • Xing Liu (2023). Categorical Data Analysis and Multilevel Modeling Using R (1st edition). SAGE Publications Ltd.