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Using the dichotomous Rasch model to analyze polytomous items.

Authors: Qingping, He; Chris, Wheadon;

Using the dichotomous Rasch model to analyze polytomous items.

Abstract

One of the most important applications of the Rasch measurement models in educational assessment is the equating of tests. An important feature of attainment tests is the use of both dichotomous and polytomous items. The partial credit model (PCM) developed by Masters (1982) represents an extension of the dichotomous Rasch model for analysing polytomous item data. The dichotomous Rasch model has been used primarily to analyse dichotomous item data. Whilst the partial credit model can provide detailed information on the performance of individual score categories of polytomous items, it is mathematically more complex to use than the dichotomous Rasch model and can, under certain circumstances, present difficulties in interpreting item measures and in practical applications. This study explores the potential of using the dichotomous Rasch model to analyse polytomous items and equate tests. Results obtained from a simulation study and from analysing the data of a science achievement test indicate that the partial credit model and the dichotomous Rasch model produce similar item and person measures and equivalent cut scores on different test forms.

Keywords

Models, Statistical, Psychometrics, Matched-Pair Analysis, Statistics as Topic, Effect Modifier, Epidemiologic, Data Interpretation, Statistical, Computer Simulation, Educational Measurement, Algorithms

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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