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lordif: An R Package for Detecting Differential Item Functioning Using Iterative Hybrid Ordinal Logistic Regression/Item Response Theory and Monte Carlo Simulations

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  • Choi, Seung W.
  • Gibbons, Laura E.
  • Crane, Paul K.

Abstract

Logistic regression provides a flexible framework for detecting various types of differential item functioning (DIF). Previous efforts extended the framework by using item response theory (IRT) based trait scores, and by employing an iterative process using group--specific item parameters to account for DIF in the trait scores, analogous to purification approaches used in other DIF detection frameworks. The current investigation advances the technique by developing a computational platform integrating both statistical and IRT procedures into a single program. Furthermore, a Monte Carlo simulation approach was incorporated to derive empirical criteria for various DIF statistics and effect size measures. For purposes of illustration, the procedure was applied to data from a questionnaire of anxiety symptoms for detecting DIF associated with age from the Patient--Reported Outcomes Measurement Information System.

Suggested Citation

  • Choi, Seung W. & Gibbons, Laura E. & Crane, Paul K., 2011. "lordif: An R Package for Detecting Differential Item Functioning Using Iterative Hybrid Ordinal Logistic Regression/Item Response Theory and Monte Carlo Simulations," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 39(i08).
    • Handle: RePEc:jss:jstsof:v:039:i08
    DOI: http://hdl.handle.net/10.18637/jss.v039.i08
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    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. Cervantes, Víctor H., 2017. "DFIT: An R Package for Raju's Differential Functioning of Items and Tests Framework," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 76(i05).
    3. Benjamin D. Schalet & Sangdon Lim & David Cella & Seung W. Choi, 2021. "Linking Scores with Patient-Reported Health Outcome Instruments:A VALIDATION STUDY AND COMPARISON OF THREE LINKING METHODS," Psychometrika, Springer;The Psychometric Society, vol. 86(3), pages 717-746, September.
    4. Enrique Gracia & Manuel Martín-Fernández & Marisol Lila & Juan Merlo & Anna-Karin Ivert, 2019. "Prevalence of intimate partner violence against women in Sweden and Spain: A psychometric study of the ‘Nordic paradox’," PLOS ONE, Public Library of Science, vol. 14(5), pages 1-17, May.
    5. Sati Bozkurt & Gizem B. Ekitli & Christopher L. Thomas & Jerrell C. Cassady, 2017. "Validation of the Turkish Version of the Cognitive Test Anxiety Scale–Revised," SAGE Open, , vol. 7(1), pages 21582440166, January.
    6. Jeanne A. Teresi & Chun Wang & Marjorie Kleinman & Richard N. Jones & David J. Weiss, 2021. "Differential Item Functioning Analyses of the Patient-Reported Outcomes Measurement Information System (PROMIS®) Measures: Methods, Challenges, Advances, and Future Directions," Psychometrika, Springer;The Psychometric Society, vol. 86(3), pages 674-711, September.
    7. Wenling Liu & Ziping Xu & Tianan Yang, 2018. "Health Effects of Air Pollution in China," IJERPH, MDPI, vol. 15(7), pages 1-15, July.
    8. Gonthier, Corentin & Grégoire, Jacques, 2022. "Flynn effects are biased by differential item functioning over time: A test using overlapping items in Wechsler scales," Intelligence, Elsevier, vol. 95(C).
    9. Muhammad Sholihin, 2024. "Developing the halal-sufficiency scale: a preliminary insight," Quality & Quantity: International Journal of Methodology, Springer, vol. 58(4), pages 3585-3604, August.
    10. Torbjørn Torsheim & Franco Cavallo & Kate Ann Levin & Christina Schnohr & Joanna Mazur & Birgit Niclasen & Candace Currie, 2016. "Psychometric Validation of the Revised Family Affluence Scale: a Latent Variable Approach," Child Indicators Research, Springer;The International Society of Child Indicators (ISCI), vol. 9(3), pages 771-784, September.
    11. Marissa A. Gogniat & Violeta J. Rodriguez & Maria Granros & Kharine R. Jean & Talia L. Robinson & L. Stephen Miller, 2022. "Differential Item Functioning: An Examination of the NEO-FFI by Sex in Older Adults," SAGE Open, , vol. 12(1), pages 21582440221, March.
    12. Martin Jelínek & Petr Květon & Iva Burešová & Helena Klimusová, 2021. "Measuring depression in adolescence: Evaluation of a hierarchical factor model of the Children’s Depression Inventory and measurement invariance across boys and girls," PLOS ONE, Public Library of Science, vol. 16(4), pages 1-17, April.
    13. Christopher B. Forrest & Ulrike Ravens-Sieberer & Janine Devine & Brandon D. Becker & Rachel E. Teneralli & JeanHee Moon & Adam C. Carle & Carole A. Tucker & Katherine B. Bevans, 2018. "Development and Evaluation of the PROMIS® Pediatric Positive Affect Item Bank, Child-Report and Parent-Proxy Editions," Journal of Happiness Studies, Springer, vol. 19(3), pages 699-718, March.
    14. Kai Liu & Longfei Zhang & Dongbo Tu & Yan Cai, 2022. "Developing an Item Bank of Computerized Adaptive Testing for Eating Disorders in Chinese University Students," SAGE Open, , vol. 12(4), pages 21582440221, December.
    15. Yikun Luo & Qipeng Chen & Jianyong Chen & Peida Zhan, 2024. "Development and validation of two shortened anxiety sensitive index-3 scales based on item response theory," Palgrave Communications, Palgrave Macmillan, vol. 11(1), pages 1-7, December.
    16. Rikkert M. van der Lans & Ridwan Maulana & Michelle Helms-Lorenz & Carmen-María Fernández-García & Seyeoung Chun & Thelma de Jager & Yulia Irnidayanti & Mercedes Inda-Caro & Okhwa Lee & Thys Coetze, 2021. "Student Perceptions of Teaching Quality in Five Countries: A Partial Credit Model Approach to Assess Measurement Invariance," SAGE Open, , vol. 11(3), pages 21582440211, August.
    17. Carla Sabariego & Cornelia Oberhauser & Aleksandra Posarac & Jerome Bickenbach & Nenad Kostanjsek & Somnath Chatterji & Alana Officer & Michaela Coenen & Lay Chhan & Alarcos Cieza, 2015. "Measuring Disability: Comparing the Impact of Two Data Collection Approaches on Disability Rates," IJERPH, MDPI, vol. 12(9), pages 1-23, August.
    18. Ke-Hai Yuan & Hongyun Liu & Yuting Han, 2021. "Differential Item Functioning Analysis Without A Priori Information on Anchor Items: QQ Plots and Graphical Test," Psychometrika, Springer;The Psychometric Society, vol. 86(2), pages 345-377, June.

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