Multilevel Modeling

Course Description

Statistical methods for analyzing multilevel data (e.g., datasets with clustered, nested, or longitudinal structures) using a framework known variously as multilevel, mixed-effects, hierarchical linear, or random-coefficient modeling. The course reviews ordinary least squares regression and then introduces: the challenges posed by multilevel data, tools for processing multilevel data for analyses, and both maximum-likelihood and Bayesian estimation. Core topics include partial pooling, random intercepts, fixed and random slopes, cross-level interactions, model comparison, troubleshooting, applications to repeated-measures and longitudinal data, and thorough diagnostics and reporting. Emphasis is placed on conceptual understanding paired with hands-on analysis in statistical software. Students apply methods to real datasets and complete an independent project.

Learning Outcomes

At the conclusion of this course, students will be able to:

  • Explain the issues that clustered data cause for the linear model
  • Contrast the pros and cons of different approaches for clustered data
  • Prepare a clustered dataset for multilevel analysis in R
  • Estimate various types of multilevel models in R
  • Flexibly specify different random effects structures
  • Interpret the fixed and random effects estimates
  • Explain the rationale and consequences of partial pooling
  • Identify the interpretation implied by each centering option
  • Detail and assess the assumptions made by a multilevel model
  • Decompose repeated and longitudinal measures into components
  • Discuss the idea of Bayesian estimation for multilevel models
  • Discuss the ideas of nested and cross-classified models

Instructor

  • , Instructor
  • , Teaching Assistant

Class Time and Location

  • M 11:00AM - 12:15PM in Wescoe 4035
  • F 02:00PM - 03:45PM in Wescoe 4035

Office Hours

  • T 11:00AM - 12:00PM (Dasha, FR 528)
  • T 03:00PM - 04:00PM (Jeff, FR 454)
  • R 10:00AM - 11:00AM (Dasha, FR 528)
  • F 12:00PM - 01:00PM (Jeff, FR 454, odd weeks)
  • F 01:00PM - 02:00PM (Jeff, FR 454, even weeks)