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murali
2007 Dec 12
0
IRT Likelihood problem
I have the following item response theory (IRT) likelihood that I want
to maximize w.r.t. to theta (student ability).
L(\theta) = \prod(p(x))
Where p(x) is the 3-parameter logistic model when items are scored
dichotomously (x_{ij} = 0 or 1) and p(x) is Muraki's generalized partial
credit model when items are scored polytomously (x_{ij} = 0 \ldots J).
Now, I wrote the following two functions to maximize the likelihood. The
first one is for the 3PL and works when all items are scored
dichotmously. The second is for the GPCM and gives the MLE when all...