Item Response Theory

Several user-contributed packages can fit IRT models. The packages we use the most is the ltm package by Dimitris Rizopoulos and the MCMCpack packages by Andrew Martin, Kevin Quinn, and Jong Hee Park. The eRm package by Patrick Mair, Reinhold Hatzinger, and Marco Maier also has powerful features. But our experience with eRm is limited at this time. We also rely extensively on the Gibbs sampler approach to fit IRT models, using open-source computer programs such as JAGS and OpenBUGS on the Linux operational system, JAGS on Mac OS, and WinBUGS (not open-source) on the Windows platform. The Gibbs sampler is one of the popular Markov Chain Monte Carlo iterative simulation methods.

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