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

2003; Cambridge University Press; Volume: 11; Issue: 2 Linguagem: Inglês

10.1093/pan/mpg002

1476-4989

Wijbrandt H. van Schuur,

Advanced Statistical Methods and Models

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.