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Nonparametric Models for Polytomous Responses

  • Ivo W. Molenaar
Chapter

Abstract

Mokken (this volume) has argued that his nonparametric IRT model for dichotomous responses can be used to order persons with respect to total score on a monotone homogeneous (MH) set of n items, such that apart from measurement error, this reflects the order of these persons on the property measured by the item set (ability, attitude, capacity, achievement, etc.). If the stronger model of double monotonicity (DM) holds, one can also order the items with respect to popularity. In a majority of cases, the respondents giving a positive reply to a difficult item will also answer positively to all more easy items. It has been explained how Loevinger’s H-coefficient per item pair, per item and for the scale can be used to express the extent to which this Guttman pattern holds true, and to search for homogeneous scales from a larger pool of items.

Keywords

Item Response Theory Latent Trait Item Pair Polytomous Item Mokken Scale 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1997

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  • Ivo W. Molenaar

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