Multilevel Measurement Models Workshop (Summer 2025; SMiP Summer School)

Multilevel Measurement Models Workshop, Summer 2025 (Universität Mannheim)

Instructors: Lesa Hoffman and Jonathan Templin

This repository contains the materials for the Multilevel Measurement Models Workshop, which was given from 1 July - 4 July, 2025 at the Universität Mannheim. This workshop was organized by the Statistical Modeling in Psychology research training group (SMiP; https://www.uni-mannheim.de/smip/) in collaboration with the the Interuniversity Graduate School of Psychometrics and Sociometrics (IOPS; https://www.iops.nl/). The program was funded by the Deutsch Forschungsgemeinschaft (https://www.dfg.de/). Details about the SMiP Summer School can be found at https://www.uni-mannheim.de/smip-summerschool/.

Repository Information

The folder structure of the repository is set to correspond with the analysis files found in the root folder. All other paths for necessary files are relative.

Please note, Stan output files (the empty model folder) are not included in the repository. These files will be created when the models are run.

Workshop Description

This workshop focused on the use of latent variable measurement models in multilevel sampling designs (e.g., persons within clusters, occasions within persons, stimuli crossed with persons). Course time was allocated to traditional lectures, guided practice building models, and opportunities for individual data analysis (or further independent practice through instructor-provided data analysis activities).

Prerequisite knowledge and skills include: (1) familiarity with R software for data analysis, (2) some familiarity with Markov Chain Monte Carlo (MCMC) estimation (i.e., have estimated models with MCMC before), (3) some prior knowledge of latent variable measurement models (i.e., confirmatory factor analysis for continuous responses; item response theory for binary and ordinal responses), and (4) some prior knowledge of multilevel models (i.e., hierarchical linear models, mixed-effects models). The course used Stan software as run through R (using CMDStanR), but no prior experience with Stan was assumed.

Workshop Lecture and Syntax Files

Main GitHub Repository: https://github.com/jonathantemplin/MultilevelMeasurementModels2025

YouTube Lecture Video Playlist: Unfortunately, many videos had encoding errors, rendering them useless. We point you to the 2023 version of the workshop for YouTube: https://youtu.be/iDEsMt0CBo0?si=xsYtuy5gdvn_lwzZ

Lecture Lecture Files
01 Introduction
02 Introduction to Measurement Models
03 Introduction to Bayesian Statistics
04 Markov Chain Monte Carlo and Stan
05 Estimating of Bayesian IRT Models in Stan
06 Introduction to Multilevel Models
07 Bayesian Multilevel Models in Stan
08 Multilevel Measurement Models