How to write syntax for differential item functioning (DIF) in WinBUGS?

Question

How to add data in syntax of WinBUGS 14 for differential item function (DIF)?

Answer 1

Try to search for "differential item functioning bayesian" to find some resources. From what I found it is clear that the model would look something like:

y[i,j,k] ~ Bernoulli(p[i,j,k])
logit(p[i,j,k]) <- ....

I.e. logistic regression. See resources:

• A non-parametric Bayesian diagnostic for detecting differential item functioning in IRT models
• A Bayesian Approach for Fitting a Random Effect Differential Item Functioning Across Group Units
• Modeling Differential Item Functioning (DIF) Using Multilevel Logistic Regression Models: A Bayesian Perspective

For more resources type "differential item functioning bayesian" into google.