SD302 - Multilevel Structural Equation Modelling

Instructor Details

Instructor Photo

Bruno Castanho Silva

Institution:
University of Cologne

Instructor Bio

Bruno Castanho is an advanced doctoral candidate in Political Science at CEU. His research focuses on populism in Europe and the Americas.

He has been an instructor or teaching assistant for courses on various research design and statistical topics, including causal inference, machine learning, and multilevel and structural equation modelling, all of which have also been part of his own research.

Bruno is currently writing an introductory textbook on Multilevel Structural Equation Modelling in collaboration with fellow Summer School instructors Constantin Manuel Bosancianu and Levi Littvay.

  @b_castanho


Course Dates and Times

Monday 31 July - Friday 4 August

14:00-17:30

Please see Timetable for full details.

Location
Building: N13 Room: 309
Prerequisite Knowledge

This course is taught at the upper intermediate to advanced level and therefore assumes a working knowledge of both multilevel modeling (MLM) and structural equation modeling (SEM).  You should understand what path models, confirmatory factor models and the combination of these two models are.  Additionally, you need to have an understanding of random intercept and slope models.  I expect that the main target audience for this class will be people who regularly use one of these techniques but not the other.  If you are one of these people, while there will be a quick review of both of these techniques on day 1, I would still strongly urge you to first take, at least, the first week of the other class where your knowledge is lacking.  Alternatively, you may do independent preparation and get ready for this class.  For people who need to review structural equation modeling, I recommend you read Kline’s SEM book (any edition).  If you need multilevel modeling, I recommend Luke’s little green (SAGE) book.  As you are independently reviewing the content and realize you cannot follow these texts I recommend that instead of the MLSEM course, start with the SEM or MLM courses.  If you have basic knowledge and usage experience with both MLM and SEM, you are ready for this course.  Basic knowledge of Mplus is assumed.  If you don’t have this, I suggest you start with the pre-session software course on Mplus.

Short Outline

Structural equation modeling (SEM) and multilevel modeling (MLM) are both very popular analytical methodologies in the social sciences today. Multilevel modeling allows us to assess data on multiple levels of analysis as long as the sample size, on both levels, is sufficient for large n analysis. Most common applications are international surveys that are starting to approach these sample size requirements. But applications also include within person designs, regional analyses, students nested within schools, patients nested within hospitals and etc. Structural equation models combine the power of factor analysis flushing out measurement error and path analysis which are, in essence, simultaneous regression models considering complex causal structures between our observed variables or factors.  Multilevel structural equation modeling (MLSEM) is marriage between the two methods in which structures of relationships can be assessed at multiple levels of analysis.  While computationally complex, these methods are effectively implemented in a user friendly way in Mplus.  In this course we will go though the most common applications of multilevel structural equation models with examples in Mplus.

Long Course Outline

Structural equation modeling (SEM) and multilevel modeling (MLM) are both very popular analytical methodologies in the social sciences today. Multilevel modeling allows us to assess data on multiple levels of analysis as long as the sample size, on both levels, is sufficient for large-n analysis. Most common applications are international surveys that are starting to approach these sample size requirements. But applications also include within person designs, regional analyses, students nested within schools, patients nested within hospitals, and so on. Structural equation models combine the power of factor analysis flushing out measurement error and path analysis which are, in essence, simultaneous regression models considering complex causal structures between our observed variables or factors.  Multilevel structural equation modeling (MLSEM) is marriage between the two methods in which structures of relationships can be assessed at multiple levels of analysis.

An ever increasing number of software packages are implementing multilevel approaches to structural equation models.  While computationally, analytically and structurally complex, these methods are effectively implemented in a user friendly way in at least one software: Mplus.  (Basic Mplus knowledge is expected for the purposes of this class.  If you don’t have this, take our Mplus refresher course in the Winter School.  If you are not very strong in either multilevel modeling or structural equation modeling, you should also take the first week of these courses to brush up on the basics.)  In this course we will go though the most common applications of multilevel structural equation models with examples in Mplus.  Mplus has several advantages (user friendly, flexible) but has clear disadvantages as well (expensive, closed). While we considered other software (xxM, OpenMX) but settled on the more user friendly option (though if you are good with matrix algebra, you certainly will have an easier time learning these software options after the conclusion of the class).  This said, all examples used in the class will run in the free demo version of Mplus.  Please bring your laptop with Mplus or Mplus Demo installed.  Mplus is compatible with Windows, Mac and Linux. Android and iOS are inadequate for the purposes of this class.

Monday, we will review the most important components of multilevel modeling and structural equation modeling.  We will go into notation to define our multilevel structural equation models. We will also brush up on Mplus syntax. Tuesday we start with multilevel path analysis.  Wednesday we cover multilevel confirmatory factor analysis.  Thursday we discuss full structural models in a multilevel framework.  Friday we discuss advanced topics and the various different conceptualizations for defining multilevel structural equation models.   If time permits, we will demo alternative software.

Day-to-Day Schedule

Day 
Topic 
Details 
MondayMeet and greet, Review MLM and SEM, Notation.

Lecture

TuesdayMultilevel Path Models

Lecture + Lab (in lecture room on laptops)

WednesdayMultilevel CFA

Lecture + Lab (in lecture room on laptops)

ThursdayMultilevel Structural Equation Models

Lecture + Lab (in lecture room on laptops)

FridayAdvanced Topics

Lecture + Lab (in lecture room on laptops)

Day-to-Day Reading List

Day 
Readings 
Monday

Rex B. Kline – Principles and Practice of Structural Equation Modeling (any edition)

Douglas A. Luke (2004) Multilevel Modeling (Sage)

Additional original manuscript by instructor

Tuesday

Heck and Thomas (2015) Ch4 from p113.

Additional original manuscript by instructor

Wednesday

Heck and Thomas (2015) Ch5.

Hox (2010) Ch14

Additional original manuscript by instructor

Thursday

Heck and Thomas (2015) Ch6.

Hox (2010) Ch14

Additional original manuscript by instructor

Friday

Mehta and Neale (2005), xxM manual

Software Requirements

Mplus 7.3 (or higher). Mplus is a proprietary software, but all examples will be made so that they can be run on the (free) demo version of Mplus. All students are required to have at least the demo version of Mplus installed upon coming to the first class.

Hardware Requirements

All students are required to bring their laptops to class.

Literature

Byrne, B. M. (2011). Structural Equation Modeling with Mplus: Basic Concepts, Applications, and Programming. London: Routledge. (Especially the last chapter).

Bosancianu, C. M., Littvay, L., and Castanho Silva, B. Multilevel Structural Equation Modeling. Unpublished manuscript (in progress).

Heck, R. H., & Thomas, S. L. (2015). An Introduction to Multilevel Modeling Techniques: MLM and SEM Approaches Using Mplus. New York: Routledge.

Hox, J. J. (2010). Multilevel Analysis: Techniques and Applications. Second edition. London: Routledge.

Rabe-Hesketh, S., Skrondal, A., and Zheng, X. 2012. Multilevel Structural Equation Modeling. In: Hoyle, R. H (ed). Handbook of Structural Equation Modeling, New York: Guilford Press, pp. 512-531.

 

The following other ECPR Methods School courses could be useful in combination with this one in a ‘training track .
Recommended Courses Before

Summer School

  • Applied Multilevel Regression Modelling
  • Introduction to Structural Equation Modelling
  • Littvay’s 2017 Advanced Topics in Structural Equation Modelling

Winter School

  • Introduction to Mplus
  • Multilevel Regression Modelling
Recommended Courses After

Summer School

  • Bayesian Analysis

Winter School

  • Bayesian Analysis
  • Handling Missing Data

Additional Information

Disclaimer

The information contained in this course description form may be subject to subsequent adaptations (e.g. taking into account new developments in the field, specific participant demands, group size etc.). Registered participants will be informed in due time in case of adaptations.

Note from the Academic Convenors

By registering to this course, you certify that you possess the prerequisite knowledge that is requested to be able to follow this course. The instructor will not teach these prerequisite items. If you are not sure if you possess this knowledge to a sufficient level, we suggest you contact the instructor before you proceed with your registration.


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