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Local Dependence Indexes for Item Pairs Using Item Response Theory

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  • Wen-Hung Chen
  • David Thissen

Abstract

Four statistics are proposed for the detection of local dependence (LD) among items analyzed using item response theory. Among them, the X 2 and G 2 LD indexes are of special interest. Simulated data are used to study the distribution and sensitivity of these statistics under the null condition, as well as under conditions in which LD is introduced. The results show that under the null condition of local independence, both the X 2 and G 2 LD indexes have distributions very similar to the X 2 distribution with 1 degree of freedom. Under the locally dependent conditions, both indexes appear to be sensitive in detecting LD or multidimensionality among items. When compared to Q 3 , another statistic often used to detect LD, these new statistics are somewhat less powerful for underlying LD, equally powerful for surface LD, and better behaved in the null case.

Suggested Citation

  • Wen-Hung Chen & David Thissen, 1997. "Local Dependence Indexes for Item Pairs Using Item Response Theory," Journal of Educational and Behavioral Statistics, , vol. 22(3), pages 265-289, September.
    • Handle: RePEc:sae:jedbes:v:22:y:1997:i:3:p:265-289
    DOI: 10.3102/10769986022003265
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    Cited by:

    1. Jeanne A. Teresi & Katja Ocepek-Welikson & John A. Toner & Marjorie Kleinman & Mildred Ramirez & Joseph P. Eimicke & Barry J. Gurland & Albert Siu, 2017. "Methodological Issues in Measuring Subjective Well-Being and Quality-of-Life: Applications to Assessment of Affect in Older, Chronically and Cognitively Impaired, Ethnically Diverse Groups Using the F," Applied Research in Quality of Life, Springer;International Society for Quality-of-Life Studies, vol. 12(2), pages 251-288, June.
    2. Wim Linden & Cees Glas, 2010. "Statistical Tests of Conditional Independence Between Responses and/or Response Times on Test Items," Psychometrika, Springer;The Psychometric Society, vol. 75(1), pages 120-139, March.
    3. Johan Braeken, 2011. "A Boundary Mixture Approach to Violations of Conditional Independence," Psychometrika, Springer;The Psychometric Society, vol. 76(1), pages 57-76, January.
    4. Yuri Goegebeur & Paul Boeck & James Wollack & Allan Cohen, 2008. "A Speeded Item Response Model with Gradual Process Change," Psychometrika, Springer;The Psychometric Society, vol. 73(1), pages 65-87, March.
    5. repec:cup:judgdm:v:13:y:2018:i:1:p:123-136 is not listed on IDEAS
    6. Ick Hoon Jin & Minjeong Jeon, 2019. "A Doubly Latent Space Joint Model for Local Item and Person Dependence in the Analysis of Item Response Data," Psychometrika, Springer;The Psychometric Society, vol. 84(1), pages 236-260, March.
    7. Yunxiao Chen & Xiaoou Li & Jingchen Liu & Zhiliang Ying, 2018. "Robust Measurement via A Fused Latent and Graphical Item Response Theory Model," Psychometrika, Springer;The Psychometric Society, vol. 83(3), pages 538-562, September.
    8. Michal Ďuriník & Jakub Procházka & Hynek Cígler, 2018. "The Short Maximization Inventory," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 13(1), pages 123-136, January.
    9. Salim Moussa, 2016. "A two-step item response theory procedure for a better measurement of marketing constructs," Journal of Marketing Analytics, Palgrave Macmillan, vol. 4(1), pages 28-50, March.
    10. Yount, Kathryn M. & Cheong, Yuk Fai & Maxwell, Lauren & Heckert, Jessica & Martinez, Elena M. & Seymour, Gregory, 2019. "Measurement properties of the project-level Women's Empowerment in Agriculture Index," World Development, Elsevier, vol. 124(C), pages 1-1.
    11. Youn Seon Lim & Fritz Drasgow, 2019. "Conditional Independence and Dimensionality of Cognitive Diagnostic Models: a Test for Model Fit," Journal of Classification, Springer;The Classification Society, vol. 36(2), pages 295-305, July.
    12. Edward Ip, 2001. "Testing for local dependency in dichotomous and polytomous item response models," Psychometrika, Springer;The Psychometric Society, vol. 66(1), pages 109-132, March.
    13. Stefano Noventa & Andrea Spoto & Jürgen Heller & Augustin Kelava, 2019. "On a Generalization of Local Independence in Item Response Theory Based on Knowledge Space Theory," Psychometrika, Springer;The Psychometric Society, vol. 84(2), pages 395-421, June.
    14. Saheli Goswami & Jung Ha-Brookshire & Wes Bonifay, 2018. "Measuring Perceived Corporate Hypocrisy: Scale Development in the Context of U.S. Retail Employees," Sustainability, MDPI, vol. 10(12), pages 1-26, December.
    15. Chen, Yunxiao & Li, Xiaoou & Liu, Jingchen & Ying, Zhiliang, 2018. "Robust measurement via a fused latent and graphical item response theory model," LSE Research Online Documents on Economics 103181, London School of Economics and Political Science, LSE Library.

    More about this item

    Keywords

    IRT; local dependence; Q3;
    All these keywords.

    JEL classification:

    • Q3 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation

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