Measurement Models


Updated after the workshop

  • Day 2 example: use base R to make an item characteristic curve (ex0200-icc-base-r.r)

  • Day 3 example: ICC of example 3.01 (base R)

  • See this Online Learning Module for more details on preparing item characteristic curves (html)

Slide sets, handouts, and examples

Day 1 Slides: Introduction to SEM and Mplus (Slides PDF)

  • supplemental slides: one-pager on Mplus parameter arrays (PDF)

  • supplemental slides: Path diagrams, equations, and Mplus code or (PDF)

Day 2 Slides: IRT models in Mplus (Slides PDF)

  • supplemental slides: IRT, Information, and Reliability (PDF)

  • supplemental slides: An empirical item analysis of EPESE MSQ data (PDF)

  • three Mplus estimator options that produce similar results (html)

  • Rich's thoughts on evaluating model fit (pdf)

Day 3 Slides: Non-uniform differential item functioning (Slides PDF)

Day 4 Slides: Special modeling features , responsibility, resources (Slides PDF)

Examples in R/lavaan


Kahn Academy video on point-slope and intercept-slope forms of a linear function (

Some resources on test and item development

  • Wikipedia page on cognitive pretesting (

  • Kingston, N. M., Scheuring, S. T., & Kramer, L. B. (2013). Test development strategies. In K. F. Geisinger, B. A. Bracken, J. F. Carlson, J.-I. C. Hansen, N. R. Kuncel, S. P. Reise, & M. C. Rodriguez (Eds.), APA handbook of testing and assessment in psychology, Vol. 1. Test theory and testing and assessment in industrial and organizational psychology (pp. 165–184). American Psychological Association.

  • Beaujean, A. A., & Benson, N. F. (2019). Theoretically-consistent cognitive ability test development and score interpretation. Contemporary School Psychology, 23(2), 126-137.

  • APGAR Score analysis (RMD code for drawing ICCs using ggplot) (RMD); APGAR data (dta)

Data in other formats:

MSQ data from EPESE (SAV, SAS7BDAT, DTA) could contain such variables as msq3-msq9 site id male age white educ

CESD data from EPESE (SAV, SAS7BDAT, sd2, DTA, [could contain such variable as sad blues depress happy enjoy hopeful age male educ site id black white])

Visit this page to see downloads from previous workshops

Click here to ask a question online (monitored during workshop)