EPsy 8264

Fall 2022

Welcome

Welcome to EPsy 8264: Advanced Multiple Regression Analysis. This is an advanced seminar for doctoral students in education covering a diverse set of regression methodologies. We will begin with a brief review of the General Linear Model and establishment of a mathematical foundation for the estimation of regression coefficients and standard errors in these models through the use of matrix algebra. The course will also cover more advanced modeling techniques, such as regression diagnostics, WLS and sandwich estimation, PCA, shrinkage methods, model selection and local models.

Classroom

• Tuesday/Thursday (9:45–11:00): Appleby Hall 204

Syllabus

• The course syllabus is available here.
• Message from Snoop Dogg about the syllabus

Textbooks

The course textbook is available via the University of Minnesota library.

• Fox, J. (2013). A mathematical primer for social statistics. Sage.

Other Resources

• Statistical Modeling and Computation for Educational Scientists
  • Learn about simple and multiple regression
  • Learn about Ordinary Least squares (OLS)
  • Learn about correlation/standardized regression
  • Learn about regrression assumptions
  • Learn about dummy coding for dichotomous/polychotomous predictors
  • Learn about interaction effects
• Computational Toolkit for Educational Scientists
  • Learn basics of R
  • Learn {dplyr} for wrangling data
  • Learn {ggplot2} for visualizing data
• EPsy 8252 Materials
  • Learn about Maximum Likelihood
  • Learn about information criteria
  • Learn about polynomial effects
  • Learn about log-transformations
  • Learn about logistic models
  • Learn about linear mixed-effects models