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The Rasch model is used to model the relation between individual location (ability) on a latent trait and their probability of endorsing a dichotomous item, which is characterized by its difficulty, assuming all items are equally discriminative.
4
votes
Simulating responses to a test for item-response theory
I've included a simdata() function in the mirt package in R for calculating simulated IRT data given a variety of know conditions for several different classes of uni- and multidimensional IRT models. …
4
votes
Item discrimination of poorly targeted items
To start, the Rasch model doesn't estimate any slope parameter in the model, and in fact treats them all as fixed (so called Tau-equivalent). … Sample independence is largely overused in the Rasch literature and widely misinterpreted. …
7
votes
Is there an R package which implements weighted maximum likelihood for Rasch models?
Looks like I'm quite late to the game here, but the mirt package package can estimate WLE scores for dichotomous and polytomous models. You start by fitting, say, a graded response model to your data …