A nonparametric Mokken analysis of test data
generally results in the rejection of different items
as misfitting than an analysis with a parametric
item response theory model. This is due to differences
between the methods of analysis
employed. Croon (1991) demonstrated that the
assumption of "double monotony" of the nonparametric
Mokken model can be tested with a
latent class analysis using the EM procedure. This
allows a comparison of the Mokken model of
double monotony and parametric item response
models within the same framework. The Mokken
model was compared with parametric models using
simulated data. It was demonstrated that latent
class analysis provides a consistent comparison of
item response models. Index terms: EM algorithm,
item fit, item response theory, latent class analysis,
model comparisons, Mokken model, Rasch model.
De Gruijter, Dato N. M. (1994). Comparison of the nonparametric Mokken Model and parametric IRT models using latent class analysis. Applied Psychological Measurement, 18, 27-34. doi:10.1177/014662169401800103
De Gruijter, Dato N. M..
Comparison of the nonparametric Mokken Model and parametric IRT models using latent class analysis.
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