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

By W. D. Linden, Cees A. W. Glas. 2010

84 citations recorded by the source corpus.

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.

Subfields: Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/b68d2beed6f7335a06461d03b6175d8ca822f353

How researchers see this paper

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In Management Science and Operations Research

1. R. H. Klein Entink
2. Jean-Paul Fox
3. Wim J. van der Linden

In Statistics and Probability

1. R. H. Klein Entink
2. Jean-Paul Fox
3. Wim J. van der Linden

Citations in the corpus

• IRT Parameter Estimation With Response Times as Collateral Information (2010, background): “For an empirical study confirming the plausibility of the assumption, see van der Linden and Glas (2010).”