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Cited by 680

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

Orlando, Maria, Thissen, David·2000·Applied Psychological Measurement

Abstract

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 X 2 ( S- X 2) and the likelihood ratio G 2 ( S- G 2) was assessed in a simulation study and compared with two fit indices similar to those currently in use ( Q1- X 2 and Q 1- G 2). The simulations included three conditions in which the simulating and fitting models were identical and three conditions involving model misspecification. S- X 2 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- G 2 tended to reject the null hypothesis too often, as did Q 1- X 2 and Q 1- G 2. The power of S- X 2 appeared to be similar for all test lengths, but varied depending on the type of model misspecification.

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Metadata

Authors
Orlando, M., & Thissen, D.
Venue
Applied Psychological Measurement
Published
2000-03
Volume
24
Issue
1
Pages
50-64
ISSN
  • 0146-6216 (ISSN-L)
  • 1552-3497
OpenAlex
W2139338900
Cited by
680
References
1
FWCI
11.12
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Likelihood-Based Item-Fit Indices for Dichotomous Item Response Theory Models. https://app.cochat.ai/papers/10.1177/01466216000241003
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Orlando, M., & Thissen, D. (2000). Likelihood-Based Item-Fit Indices for Dichotomous Item Response Theory Models. Applied Psychological Measurement. https://doi.org/10.1177/01466216000241003

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