Article2010

Distributions of the Kullback–Leibler divergence with applications

159 citations0/0 files storedBritish Journal of Mathematical and Statistical Psychology

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Psychometric Methodologies and Testing Probability and Statistical Research Statistical Distribution Estimation and Applications

Abstract

The Kullback-Leibler divergence (KLD) is a widely used method for measuring the fit of two distributions. In general, the distribution of the KLD is unknown. Under reasonable assumptions, common in psychometrics, the distribution of the KLD is shown to be asymptotically distributed as a scaled (non-central) chi-square with one degree of freedom or a scaled (doubly non-central) F. Applications of the KLD for detecting heterogeneous response data are discussed with particular emphasis on test security.

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2012Applications of Item Response Theory To Practical Testing Problems 1956On a Measure of the Information Provided by an Experiment 1996A Global Information Approach to Computerized Adaptive Testing 2003Comparing the Aberrant Response Detection Performance of Thirty-Six Person-Fit Statistics 2009Conceptual Issues in Response‐Time Modeling 2007Measurement issues associated with conditional reasoning tests: Indirect measurement and test faking.

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