[R] help R IRT simulation

Stuart Luppescu slu at ccsr.uchicago.edu
Wed Mar 3 18:05:27 CET 2010

On Wed, 2010-03-03 at 09:45 -0600, Helen Lisman wrote:
> hello R,
> This is about simulation in psychomtrics in IRT in R. I want to simulate b
> parameters(item difficulty) with moments of fixed values of mean, st.d,
> skewness and kurtosis. Is there any specific IRT package in R with those
> functions to control those moments? I have seen other programs that can
> control mean and st.d but not skewness and kurtosis.

Interesting. I wrote a program in C to simulate item responses according
to the Rasch model, as well as the 2PL and 3PL models. I used either
normal or uniform distribution of the person and item parameters. I'm
assuming that you want to manipulate the skewness and kurtosis of the
generated item and/or person parameters, and then produce simulated item
responses. I don't know how you would manipulate the skewness and
kurtosis. I searched around and rnorm() doesn't include arguments for
skewness and kurtosis. kurtosis() functions exist in e1071 and
fUtilities, but they only return the kurtosis of the input data. Let me
know if you find something.
Stuart Luppescu <slu at ccsr.uchicago.edu>
University of Chicago

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