Rasch fit statistics as a test of the invariance of item parameter estimates.

@article{Smith2003RaschFS,
  title={Rasch fit statistics as a test of the invariance of item parameter estimates.},
  author={Richard M. Smith and Kyunghee Kim Suh},
  journal={Journal of applied measurement},
  year={2003},
  volume={4 2},
  pages={153-63}
}
The invariance of the estimated parameters across variation in the incidental parameters of a sample is one of the most important properties of Rasch measurement models. This is the property that allows the equating of test forms and the use of computer adaptive testing. It necessarily follows that in Rasch models if the data fit the model, than the estimation of the parameter of interest must be invariant across sub-samples of the items or persons. This study investigates the degree to which… CONTINUE READING

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