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Estimating Integer Parameters in IRT Models for Polytomous Items

Door: Verstralen, H.H.F.M. | 01-01-1996 When the number of observations per item is moderate ( < 3000) the number of item parameters in the Nominal Response Model of Bock (1972) is too large, especially with polytomous items, for accurate and sometimes even unique estimates to be expected.

A solution is suggested by creating a link between this model and three simpler IRT models by estimating integer category scores, and possibly also integer discrimination parameters. Given the integer parameters as constants the remaining parameters can be estimated with a Restricted Maximum Likelihood procedure. In a simulation study four procedures to estimate integer category scores are investigated.

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