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Mokken Scale Analysis: Between the Guttman Scale and Parametric Item Response Theory

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  • van Schuur, Wijbrandt H.

Abstract

This article introduces a model of ordinal unidimensional measurement known as Mokken scale analysis. Mokken scaling is based on principles of Item Response Theory (IRT) that originated in the Guttman scale. I compare the Mokken model with both Classical Test Theory (reliability or factor analysis) and parametric IRT models (especially with the one-parameter logistic model known as the Rasch model). Two nonparametric probabilistic versions of the Mokken model are described: the model of Monotone Homogeneity and the model of Double Monotonicity. I give procedures for dealing with both dichotomous and polytomous data, along with two scale analyses of data from the World Values Study that demonstrate the usefulness of the Mokken model.

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  • van Schuur, Wijbrandt H., 2003. "Mokken Scale Analysis: Between the Guttman Scale and Parametric Item Response Theory," Political Analysis, Cambridge University Press, vol. 11(2), pages 139-163, April.
    • Handle: RePEc:cup:polals:v:11:y:2003:i:02:p:139-163_01
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