The Mokken model of monotone homogeneity,
the Mokken model of double monotonicity, and
the Rasch model are theoretically and empirically
compared. These models are compared with respect
to restrictiveness to empirical test data, properties
of the scale, and accuracy of measurement. Application
of goodness-of-fit procedures to empirical
data largely confirmed the expected order of the
models according to restrictiveness: Almost all
items were in concordance with the model of monotone
homogeneity, and fewer items complied with
the model of double monotonicity and the Rasch
model. The model of monotone homogeneity was
found to be a suitable alternative to more restrictive
models for basic testing applications; more
sophisticated applications, such as equating and
adaptive testing, appear to require the use of parametric
models. Index terms: goodness-of-fit, item
response theory, measurement properties, Mokken
model, Rasch model.
Meijer, Rob R, Sijtsma, Klaas & Smid, Nico G. (1990). Theoretical and empirical comparison of the Mokken and the Rasch approach to IRT. Applied Psychological Measurement, 14, 283-298. doi:10.1177/014662169001400306
Meijer, Rob R.; Sijtsma, Klaas; Smid, Nico G..
Theoretical and empirical comparison of the Mokken and the Rasch approach to IRT.
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