Mplus
Monday
December 05, 2016
HOME ORDER CONTACT US CUSTOMER LOGIN MPLUS DISCUSSION
Mplus
Mplus at a Glance
General Description
Mplus Programs
Pricing
Version History
System Requirements
Platforms
FAQ
Mplus Demo Version
Training
Short Courses
Short Course Videos
and Handouts
Web Training
Documentation
Mplus User's Guide
Mplus Diagrammer
Technical Appendices
Mplus Web Notes
User's Guide Examples
Mplus Book
Mplus Book Examples
Mplus Book Errata
Analyses/Research
Mplus Examples
Papers
References
Special Mplus Topics
BSEM (Bayesian SEM)
Complex Survey Data
ESEM (Exploratory SEM)
Genetics
IRT
Measurement Invariance
Mediation Analysis
Missing Data
Mixture Modeling
Multilevel Modeling
Structural Equation Modeling
Survival Analysis
Randomized Trials
How-To
Using Mplus via R
Mplus plotting using R
Chi-Square Difference
Test for MLM and MLR
Power Calculation
Monte Carlo Utility
Search
 
Mplus Website Updates

Item Response Theory (IRT)

Mplus offers IRT analyses using 1PL, 2PL, 3PL, 4PL, partial credit, and generalized partial credit models. Due to the general modeling framework of Mplus, the IRT modeling includes unique features that combine multidimensional analysis; two-level, three-level, and cross-classified analysis (Asparouhov & Muthén, 2012, 2013); mixture modeling (Muthén, 2008) and diagnostic classification modeling (Rupp et al., 2010); as well as multilevel mixture modeling (Asparouhov & Muthén, 2008; Henry & Muthén, 2010).

The models can be estimated by maximum-likelihood, Bayes, and weighted least squares. The relative strengths of the estimators is discussed in the document Estimator choices with categorical outcomes. Bootstrap standard errors and confidence intervals are also available. Graphical displays of item characteristic curves and information curves are also provided.

References:

A brief technical description of the formulas used in the plots of item characteristics curves and information curves is available. Related technical description can be found in the Mplus Web Note #4.

The following paper shows the general latent variable modeling framework within which IRT analysis can be performed.

History of IRT developments in Mplus.

For more information, visit our General Description page.