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1 results

  • Statistical Tests of Conditional Independence Between Responses and/or Response Times on Test Items

  • Wim J. van der Linden, Cees A. W. Glas
  • Journal:
    Psychometrika / Volume 75 / Issue 1 / March 2010
    Published online by Cambridge University Press:
    01 January 2025, pp. 120-139
    • Article
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  • Three plausible assumptions of conditional independence in a hierarchical model for responses and response times on test items are identified. For each of the assumptions, a Lagrange multiplier test of the null hypothesis of conditional independence against a parametric alternative is derived. The tests have closed-form statistics that are easy to calculate from the standard estimates of the person parameters in the model. In addition, simple closed-form estimators of the parameters under the alternatives of conditional dependence are presented, which can be used to explore model modification. The tests were applied to a data set from a large-scale computerized exam and showed excellent power to detect even minor violations of conditional independence.