A Boundary Mixture Approach to Violations of Conditional Independence |
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Authors: | Johan Braeken |
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Institution: | 1.Department of Methodology and Statistics,Tilburg University,Tilburg,The Netherlands |
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Abstract: | Conditional independence is a fundamental principle in latent variable modeling and item response theory. Violations of this
principle, commonly known as local item dependencies, are put in a test information perspective, and sharp bounds on these
violations are defined. A modeling approach is proposed that makes use of a mixture representation of these boundaries to
account for the local dependence problem by finding a balance between independence on the one side and absolute dependence
on the other side. In contrast to alternative approaches, the nature of the proposed boundary mixture model does not necessitate
a change in formulation of the typical item characteristic curves used in item response theory. This has attractive interpretational
advantages and may be useful for general test construction purposes. |
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Keywords: | |
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