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Most Common Approach of estimation is Marginal Maximum Likelihood. Other procedures: 1) Joint Maximum Likelihood (Rasch only); 2) Markov Chain Monte Carlo(MCMC): Typically only used for highly parameterized models.

Which python or R packages do this estimation?

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  • $\begingroup$ I don't know of any python package; but for R (besides the task view) there is also the helpfull search-engine: rseek.org $\endgroup$
    – Tom
    Commented Mar 16, 2017 at 13:06
  • $\begingroup$ There are lots of packages for R, but I think ltm is the most straightforward. $\endgroup$
    – Jeremy Miles
    Commented Mar 17, 2017 at 16:49

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There are a host of IRT packages over at CRAN: https://cran.r-project.org/web/views/Psychometrics.html

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