Getting Categorical CFA fit statistics with MPLUS

CFA is a way to establish the dimensionalities of your data. For instance, unidimensionality and local independence are the assumptions of (unidimensional) IRT.

Just learned it today...

The default ML estimation does not provide model fit statistics for MPlus if you are running Categorical CFA. However if we change the method of estimation to wlsmv, it will spit out CFI, TLI and RMSEA in the output.

ANALYSIS: estimator=wlsmv;

Following are the links:

1. http://www.statmodel.com/discussion/messages/9/1881.html?1166123658
2. http://www.indiana.edu/~statmath/stat/all/cfa/cfa14.html

The Theory and Practice of Item Response Theory By R. J. de Ayala

This is a nice book for IRT... explains a lot of stuffs pretty well in plain English... It is with information provided in this book did I figure out how to use item response pattern as the ID for bilog-MG output

The Theory and Practice of Item Response Theory By R. J. de Ayala

Chapter 10 IRT Applications: DIF, CAT and SCALE ANALYSIS (DIF only)

Please find my notes for the DIF section at the following URL:

This chapter is in the book "Item Response Theory for Psychologists" by Embretson & Reise (2000)

http://sites.google.com/site/yaowensite/math-statistics-and-measurement-resources/item-response-theory/Chapter10IRTApplications.docx?attredirects=0

Item Response Theory by Baker

Check out the free book by Baker "Item Response Theory." I think this is the first version of the IRT book by Baker and Kim...

Item Response Theory: Parameter Estimation Techniques, Baker & Kim (2004)

Check out the book "Item Response Theory: Parameter Estimation Techniques, Baker & Kim (2004)" on google book...

http://books.google.com/books?id=y-Q_Q7pasJ0C&printsec=frontcover

Item Response Theory for Psychologists, Embretson & Reise (2000)

Check out the book IRT for Psychologists on google book

http://books.google.com/books?id=rYU7rsi53gQC&printsec=frontcover&source=gbs_summary_r&cad=0

Chapter 3: Item Response Theory as Model-Based Measurement

This chapter of Embretson & Reise spoke of issues such as the assumption of local independence. In addition, it also talks about ICC or Item Characteristic Curve....

Please see notes for more information...