Comparing item-total correlation and item-theta correlation in test item selection: A simulation and empirical study
Ana Rufaida, Universitas Brawijaya, Indonesia
Nur Hasanah, Universitas Brawijaya, Indonesia
Sofia Nuryanti, Universitas Brawijaya, Indonesia
Abstract
One of the important processes in the evaluation of the psychometric properties of a test is item selection. The item selection process usually uses a very popular technique called item-total correlation. This study attempts to describe the item-total correlation technique and explore it using a similar technique called item-theta correlation. Both techniques are applied using simulation studies by creating several conditions related to test length and sample size. After the simulation study, the next step is the study using empirical data as an illustration of the results of the simulation study. The results of this study show that there are differences in the results of item selection based on these two approaches. Item-theta correlation detects more items that have weak discrimination power than item-total correlation. The difference is more noticeable in conditions where the cutoff point used for item selection is low(.20).
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Andrich, D., & Marais, I. (2019). A course in rasch measurement theory: Measuring in the educational, social and health sciences. Springer. https://doi.org/10.1007/978-981-13-7496-8
Azwar, S. (1994). Seleksi item dalam penyusunan skala psikologi. Buletin Psikologi, 2(2), 26–33.
Bae, J., Lee, J. H., Choi, M., Jang, Y., Park, C. G., & Lee, Y. J. (2023). Development of the clinical reasoning competency scale for nurses. BMC Nursing, 22(1), 138. https://doi.org/10.1186/s12912-023-01244-6
Baker, F. B. (2001). The basics of item response theory (2nd ed.). Eric Clearinghouse on Assessment and Evaluation. https://eric.ed.gov/?id=ED458219
Baker, F. B., & Kim, S.-H. (2017). The basics of item response theory using R. Springer. https://doi.org/10.1007/978-3-319-54205-8
Bandalos, D. L. (2018). Measurement theory and applications for the social sciences. Guilford Press. www.guilford.com/MSS
Bock, R. D., & Gibbons, R. D. (2021). Item response theory (1st ed.).
John Wiley & Sons.
Bulut, O., & Sünbül, Ö. (2017). R programlama dili ile madde tepki kuramında Monte Carlo simülasyon çalışmaları. Eğitimde ve Psikolojide Ölçme ve Değerlendirme Dergisi, 8(3), 266–287. https://doi.org/10.21031/epod.305821
Crocker, L. M., & Algina, J. (2008). Introduction to classical and modern test theory. Cengage Learning.
De Ayala, R. J. (2022). The theory and practice of item response theory (2nd ed.). The Guilford Press.
Dichoso, A. A., Joy, R., & Cabauatan, M. (2020). Test item analyzer using point-biserial correlation and P-values. International Journal of Scientific & Technology Research, 9(4), 2122–2126. https://www.ijstr.org/final-print/apr2020/Test-Item-Analyzer-Using-Point-biserial-Correlation-And-P-values.pdf
Feinberg, R. A., & Rubright, J. D. (2016). Conducting simulation studies in psychometrics. Educational Measurement: Issues and Practice, 35(2), 36–49. https://doi.org/10.1111/EMIP.12111
Finch, W. H., & French, B. F. (2018). Educational and psychological measurement. Routledge. https://doi.org/10.4324/9781315650951
Guo, H., Lu, R., Johnson, M. S., & McCaffrey, D. F. (2022). Alternative methods for item parameter estimation: From CTT to IRT. ETS Research Report Series, 2022(1), 1–16. https://doi.org/10.1002/ets2.12355
Hu, Z., Lin, L., Wang, Y., & Li, J. (2021). The integration of classical testing theory and item response theory. Psychology, 12(9), 1397–1409. https://www.scirp.org/journal/paperinformation.aspx?paperid=111936
Jacobs, P., & Viechtbauer, W. (2017). Estimation of the biserial correlation and its sampling variance for use in meta-analysis. Research Synthesis Methods, 8(2), 161–180. https://doi.org/10.1002/JRSM.1218
Karakaya, N., & Kiliç, M. (2021). Turkish adaptation of the workplace breastfeeding support scale: A validity and reliability study. Samsun Sağlık Bilimleri Dergisi, 6(3), 721-736. https://doi.org/10.47115/jshs.1029188
Kesici, A., & Tunç, N. F. (2018). The development of the digital addiction scale for the university students: Reliability and validity study. Universal Journal of Educational Research, 6(1), 91–98. https://doi.org/10.13189/ujer.2018.060108
Luecht, R. M., & Hambleton, R. K. (2021). Item response theory : A historical perspective and brief introduction to applications. The history of educational measurement (1st ed.), pp. 232–262. Routledge. https://doi.org/10.4324/9780367815318-11
Macdonald, P., & Paunonen, S. V. (2002). A Monte Carlo comparison of item and person statistics based on item response theory versus classical test theory. Educational and Psychological Measurement, 62(6), 921–943. https://doi.org/10.1177/0013164402238082
Paek, I., & Cole, K. (2019). Using R for item response theory model applications. Routledge.
Robitzsch, A., Kiefer, T., & Wu, M. (2022). Type package title test analysis modules. https://cran.r-project.org/web/packages/TAM/TAM.pdf
Sabbag, A. G. (2019). Handbook of educational measurement and psychometrics using R.. The American Statistician, 73(4), 415-416. https://doi.org/10.1080/00031305.2019.1676110
Supratiknya, A. (2014). Pengukuran psikologis (1st ed.). Universitas Sanata Dharma.
Wu, M., Tam, H. P., & Jen, T.-H. (2016). Educational measurement for applied researchers: Theory into practice. Springer. https://doi.org/10.1007/978-981-10-3302-5
Xie, D., & Cobb, C. L. (2020). Item analysis. In B. J. Carducci & C. S. Nave (eds.), The Wiley encyclopedia of personality and individual differences: Models and theories, pp. 159–163. https://doi.org/10.1002/9781118970843.CH97
Yilmaz, M. L., & Keskin, H. A. (2020). Is a universal model of a “good” national education system that brings economic returns emerging?. Anadolu Üniversitesi Sosyal Bilimler Dergisi, 20, 61–72. https://doi.org/10.18037/ausbd.725563
DOI: https://doi.org/10.21831/pep.v27i2.61477
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