Likelihood-Based Item-Fit Indices for Dichotomous Item Response Theory Models

Applied Psychological Measurement - Tập 24 Số 1 - Trang 50-64 - 2000
Maria Orlando1, David Thissen2
1Rand Corp, Santa Monica, CA, US
2University of North Carolina at Chapel Hill

Tóm tắt

New goodness-of-fit indices are introduced for dichotomous item response theory (IRT) models. These indices are based on the likelihoods of number-correct scores derived from the IRT model, and they provide a direct comparison of the modeled and observed frequencies for correct and incorrect responses for each number-correct score. The behavior of Pearson’s X2 ( S- X2) and the likelihood ratio G2 ( S- G2) was assessed in a simulation study and compared with two fit indices similar to those currently in use ( Q1- X2 and Q1- G2). The simulations included three conditions in which the simulating and fitting models were identical and three conditions involving model misspecification. S- X2 performed well, with Type I error rates close to the expected .05 and .01 levels. Performance of this index improved with increased test length. S- G2 tended to reject the null hypothesis too often, as did Q1- X2 and Q1- G2. The power of S- X2 appeared to be similar for all test lengths, but varied depending on the type of model misspecification.

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Applied Psychological Measurement

Tập 24 Số 1

50-64

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