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Modification indices for the 2-PL and the nominal response model

Authors
  • Glas, Cees A. W.1
  • 1 University of Twente, Department of educational measurement and data analysis, The Netherlands
Type
Published Article
Journal
Psychometrika
Publisher
Springer-Verlag
Publication Date
Sep 01, 1999
Volume
64
Issue
3
Pages
273–294
Identifiers
DOI: 10.1007/BF02294296
Source
Springer Nature
Keywords
License
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Abstract

In this paper, it is shown that various violations of the 2-PL model and the nominal response model can be evaluated using the Lagrange multiplier test or the equivalent efficient score test. The tests presented here focus on violation of local stochastic independence and insufficient capture of the form of the item characteristic curves. Primarily, the tests are item-oriented diagnostic tools, but taken together, they also serve the purpose of evaluation of global model fit. A useful feature of Lagrange multiplier statistics is that they are evaluated using maximum likelihood estimates of the null-model only, that is, the parameters of alternative models need not be estimated. As numerical examples, an application to real data and some power studies are presented.

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