NMAK16018U Structural Equation Models

Volume 2016/2017
Education

MSc Programme in Statistics

Content

The course is an introduction to latent variable models. We introduce Item Response Theory (IRT) models, focusing mainly on the Rasch model, Confirmatory Factor Analysis (CFA) models, and Structural Equation Models (SEM’s). The exercises will be a mixture of theoretical problems and data analysis. The course covers the following topics:

  • General measurement models (including Rasch model and CFA)
  • Conditional and marginal estimation
  • Model identification
  • Evaluation of model fit
  • Path analysis
  • Structural equation models
  • Measurement error in covariates
  • An introduction to implementations of the methodology (including R and SAS). 
Learning Outcome

Knowledge:

At the end of the course the student will have knowledge about different types of latent variable models, and will have the knowledge to

  • Explain the assumptions underlying the models
  • Interpret the parameters of the models
  • Discuss model identification and be able to determine if two models are identical

 

Skills:

The student will acquire skills necessary for applying latent variable models to real data, decide on which model to use and which analysis to perform. The student will have the skills to utilize theoretical results in the practical analysis, including how complex models can be specified.

Competencies:

At the end of the course the students will have the competence to

  • Evaluate the fit of measurement models (including Rasch model and CFA)
  • Estimate the parameters of structural equation models
  • Use latent variable models to adjust for measurement error in covariates
Statistik 2 or similar knowledge of statistics. Linear algebra and the multivariate normal distribution are essential prerequisites. Some experience with the use of R or SAS is recommended.
4 hours of lectures and 2 hours of presentation and discussion of a weekly assignment per week for 7 weeks.
  • Category
  • Hours
  • Exercises
  • 14
  • Lectures
  • 28
  • Preparation
  • 164
  • Total
  • 206
Credit
7,5 ECTS
Type of assessment
Oral examination, 30 minutes without preparation
Every week an assignment on the implementation of a solution to a statistical computing problem will be given. Students will in turn present solutions in class followed by a plenary discussion of the solutions. The student's own solutions will form the basis for his or her oral examination.
Aid
All aids allowed
Marking scale
7-point grading scale
Censorship form
No external censorship
Several internal examiners
Re-exam

Same as ordinary.

Criteria for exam assesment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.