Identifying Local Dependence With a Score Test Statistic Based on the Bifactor Logistic Model
- 24 September 2012
- journal article
- research article
- Published by SAGE Publications in Applied Psychological Measurement
- Vol. 36 (8), 670-688
- https://doi.org/10.1177/0146621612458174
Abstract
Local dependence (LD) refers to the violation of the local independence assumption of most item response models. Statistics that indicate LD between a pair of items on a test or questionnaire that is being fitted with an item response model can play a useful diagnostic role in applications of item response theory. In this article, a new score test statistic, Sb, based on the bifactor logistic model is described. To compare the performance of Sb with the score test statistic ( St) based on the threshold shift model, and the LD X2 statistic, data were simulated under locally independent, bifactor, and threshold shift conditions. The results summarize the null distributions of all three diagnostic statistics, and their power for various degrees of bifactor and threshold shift LD. Future research directions are discussed, including the straightforward generalization of Sb for polytomous item response models, and the challenges involved in the corresponding generalizations of St and LD X2.Keywords
This publication has 20 references indexed in Scilit:
- A Two-Tier Full-Information Item Factor Analysis Model with ApplicationsPsychometrika, 2010
- Copula Functions for Residual DependencyPsychometrika, 2007
- A Comparison of Item-Fit Statistics for the Three-Parameter Logistic ModelApplied Psychological Measurement, 2003
- Testing for local dependency in dichotomous and polytomous item response modelsPsychometrika, 2001
- A Bayesian random effects model for testletsPsychometrika, 1999
- A parametric model for local dependence among test items.Psychological Methods, 1997
- Local Dependence Indexes for Item Pairs Using Item Response TheoryJournal of Educational and Behavioral Statistics, 1997
- Full-information item bi-factor analysisPsychometrika, 1992
- Conjunctive item response theory kernelsPsychometrika, 1986
- Loglinear Rasch model testsPsychometrika, 1984