Research Article
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Investigation of the Missing Data Imputation Methods on Characteristic Curve Transformation Methods Used in Test Equating

Year 2022, Volume 13, Issue 2, 105 - 116, 30.06.2022
https://doi.org/10.21031/epod.1029044

Abstract

In this research, the aim was to evaluate the effect of zero imputation and multiple imputation missing data handling methods on item response theory (IRT) based test equating methods under different conditions. Data in this study was obtained from the administration of the TIMSS 2019 eighth-grade science test. Data sets were formed by randomly selecting a sample of 1000 students with full data from booklets 7 and 8. By deleting data under a completely random missing data mechanism within the scope of common-item nonequivalent groups (CINEG) design, four different data sets were obtained with the missing data rates of 10% or 20% in the new test or in both tests. The missing da ta problem was solved by using zero imputation and multiple imputation methods from these data sets. In this way, 8 different data sets were formed. Then, scaling transformation was performed by using characteristic curve transformation methods (Haebara, Stocking-Lord). Test equating results were reported in terms of observed scores. The root mean square error (RMSE) was used as the evaluation criterion to determine the error involved in test equating. As a result, it was determined that in the case of 10% missing data in both tests, generally lower RMSE values were obtained. It was observed that the multiple imputation method, one of the methods for handling missing data, was the method that produced RMSE values that were both the lowest and closer to the full data set as a reference value compared to the zero-imputation method. In addition, it was determined that, when compared to the Haebara method, Stocking-Lord method, one of the characteristic curve transformation methods, produced lower RMSE values and these values were closer to the full data set, which was taken as a reference value.

References

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Year 2022, Volume 13, Issue 2, 105 - 116, 30.06.2022
https://doi.org/10.21031/epod.1029044

Abstract

References

  • Akbaş, U. (2014). Farklı örneklem büyüklüklerinde ve kayıp veri örüntülerinde ölçeklerin psikometrik özelliklerinin kayıp veri baş etme teknikleri ile incelenmesi [Investigation of psychometric properties of scales with missing data techniques for different sample sizes and missing data patterns] (Thesis No. 370326) [Doctoral dissertation, Ankara University]. Council of Higher Education Thesis Center. https://tez.yok.gov.tr/UlusalTezMerkezi/
  • Aksekioğlu, B. (2017). Madde tepki kuramına dayalı test eşitleme yöntemlerinin karşılaştırılması: PISA 2012 fen testi örneği [Comparison of test equating methods based on item response theory: PISA 2012 science test sample] (Thesis No. 454879) [Master thesis, Akdeniz University]. Council of Higher Education Thesis Center. https://tez.yok.gov.tr/UlusalTezMerkezi/
  • Allison, P. D. (2003). Missing data techniques for structural equation modeling. Journal of Abnormal Psychology, 112(4), 545-557. https://doi.org/10.1037/0021-843X.112.4.545
  • Angoff, W. H. (1971). Scales, norms and equivalent scores. In R. L. Thorndike (Ed.), Educational measurement (pp. 508-600). American Council on Education.
  • Atalay Kabasakal, K. (2014). Değişen madde fonksiyonunun test eşitlemeye etkisi [The effect of differential item functioning on test equating] (Thesis No. 363206) [Doctoral dissertation, Hacettepe University]. Council of Higher Education Thesis Center. https://tez.yok.gov.tr/UlusalTezMerkezi/
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  • Battauz, M. (2021). Package ‘equateIRT’. https://cran.r-project.org/web/packages/equateIRT/equateIRT.pdf Bayhan, A. (2018). Farklı koşullardaki kayıp veri oranının iç tutarlığa etkisi [The effect of missing data rate on internal consistency within different conditions] (Thesis No. 531022) [Master thesis, Hacettepe University]. Council of Higher Education Thesis Center. https://tez.yok.gov.tr/UlusalTezMerkezi/
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  • Chalmers, P., Pritikin, J., Robitzsch, A., Zoltak, M., Kim, K. H., Falk, C. F., Meade, A., Schneider, L., King, D., Liu, C. W., & Ogreten, O. (2021). Package ‘mirt’. https://cran.r-project.org/web/packages/mirt/mirt.pdf
  • Cook, L. L., & Eignor, D. R. (1991). An NCME instructional module on IRT equating methods. Educational Measurement: Issues and Practice, 10(3), 37-45. http://www.edmeasurement.net/8225/Cook-1991-equating-methods.pdf
  • DeMars, C. (2010). Item response theory: Understanding statistics measurement. Oxford Press.
  • Demir, E. (2013). Kayıp verilerin varlığında iki kategorili puanlanan maddelerden oluşan testlerin psikometrik özelliklerinin incelenmesi [Psychometric properties of tests composed of dichotomous items in the presence of missing data] (Thesis No. 342477) [Doctoral dissertation, Ankara University]. Council of Higher Education Thesis Center. https://tez.yok.gov.tr/UlusalTezMerkezi/
  • Demirus, K. B. (2015). Ortak maddelerin değişen madde fonksiyonu gösterip göstermemesi durumunda test eşitlemeye etkisinin farklı yöntemlerle incelenmesi [The study of the effect of anchor items showing or not showing differantial item functioning to test equating using various methods] (Thesis No. 399468) [Doctoral dissertation, Hacettepe University]. Council of Higher Education Thesis Center. https://tez.yok.gov.tr/UlusalTezMerkezi/
  • Embretson, S. E., & Reise, S. P. (2000). Item response theory for psychologists. Lawrence Erlbaum Associates Publishers.
  • Enders, C. K. (2004). The impact of missing data on sample reliability estimates: Implications for reliability reporting practices. Educational and Psychological Measurement, 64(3), 419-436. https://doi.org/10.1177/0013164403261050
  • Enders, C. K. (2010). Applied missing data analysis. The Guildford Press.
  • Ertoprak, D. G. (2017). Kayıp verinin test eşitlemeye etkisinin incelenmesi [Investigating the effect of missing data on test equating] (Thesis No. 470015) [Doctoral dissertation, Hacettepe University]. Council of Higher Education Thesis Center. https://tez.yok.gov.tr/UlusalTezMerkezi/
  • Finch, H. (2008). Estimation of item response theory parameters in the presence of missing data. Journal of Educational Measurement, 45(3), 225-245. https://doi.org/10.1111/j.1745-3984.2008.00062.x
  • Haebara, T. (1980). Equating logistic ability scales by a weighted least squares method. Japanese Psychological Research, 22(3), 144-149. https://doi.org/10.4992/psycholres1954.22.144
  • Hambleton, R. K., & Jones, RW. (1993). Comparison of classical test theory and item response theory and their applications to test development. Educational Measurement: Issues and Practice, 12(3), 38-47. https://doi.org/10.1111/j.1745-3992.1993.tb00543.x
  • Hambleton, R. K., & Swaminathan, H. (1985). Item response theory. Principals and applications. Kluwer Academic Publishers.
  • Hambleton, R. K., Swaminathan, H., & Rogers, H. J. (1991). Fundamentals of item response theory. Sage Publications, Inc.
  • Han, K. T. (2008). Impact of item parameter drift on test equating and proficiency estimates (UMI No. 3325324) [Doctoral dissertation, University of Massachusetts Amherst]. Available from ProQuest Dissertations and Theses Global database.
  • Harris, D. J., & Crouse, J. D. (1993). A study of criteria used in equating. Applied Measurement in Education, 6(3), 195-240. https://doi.org/10.1207/s15324818ame0603_3
  • Hohensinn, C., & Kubinger, K.D. (2011). On the impact of missing values on the item fit and the model validness of the rasch model. Psychological Test and Assessment Modeling, 53(3), 380-393. https://www.researchgate.net/publication/263655931
  • Işıkoğlu, M. A. (2017). Kayıp veri ile baş etme yöntemlerinin ölçme değişmezliğine etkisi açısından karşılaştırılması [Comparison of influence of the missing data handling methods on measurement invariance] (Thesis No. 484106) [Master thesis, Hacettepe University]. Council of Higher Education Thesis Center. https://tez.yok.gov.tr/UlusalTezMerkezi/
  • Jabrayilov, R., Emons, W. H. M., & Sijtsma, K. (2016). Comparison of classical test theory and item response theory in individual change assessment. Applied Psychological Measurement, 40(8), 559-572. https://doi.org/10.1177/0146621616664046
  • Kan, A. (2011). Test eşitleme: OKS testlerinin istatistiksel eşitliğinin sınanması [Test equating: Checking statistical equivalance of OKS test edition]. Education and Science, 36(160), 38-51. http://eb.ted.org.tr/index.php/EB/article/view/310/258
  • Karagül, A. E. (2020). Küçük örneklemelerde çok kategorili puanlanan maddelerden oluşan testlerde klasik test eşitleme yöntemlerinin karşılaştırılması [Comparison of classical test equating methods with polytomously scored tests and small samples] (Thesis No. 610685) [Master thesis, Ankara University]. Council of Higher Education Thesis Center. https://tez.yok.gov.tr/UlusalTezMerkezi/
  • Karasar, N. (2009). Bilimsel araştırma yöntemi [Scientific research method]. Nobel Publishing.
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Details

Primary Language English
Subjects Social
Journal Section Articles
Authors

Gülden ÖZDEMİR> (Primary Author)
MINISTRY OF NATIONAL EDUCATION
0000-0002-3150-9438
Türkiye


Burcu ATAR>
HACETTEPE UNIVERSITY
0000-0003-3527-686X
Türkiye

Publication Date June 30, 2022
Published in Issue Year 2022, Volume 13, Issue 2

Cite

Bibtex @research article { epod1029044, journal = {Journal of Measurement and Evaluation in Education and Psychology}, issn = {1309-6575}, eissn = {1309-6575}, address = {}, publisher = {Eğitimde ve Psikolojide Ölçme ve Değerlendirme Derneği}, year = {2022}, volume = {13}, number = {2}, pages = {105 - 116}, doi = {10.21031/epod.1029044}, title = {Investigation of the Missing Data Imputation Methods on Characteristic Curve Transformation Methods Used in Test Equating}, key = {cite}, author = {Özdemir, Gülden and Atar, Burcu} }
APA Özdemir, G. & Atar, B. (2022). Investigation of the Missing Data Imputation Methods on Characteristic Curve Transformation Methods Used in Test Equating . Journal of Measurement and Evaluation in Education and Psychology , 13 (2) , 105-116 . DOI: 10.21031/epod.1029044
MLA Özdemir, G. , Atar, B. "Investigation of the Missing Data Imputation Methods on Characteristic Curve Transformation Methods Used in Test Equating" . Journal of Measurement and Evaluation in Education and Psychology 13 (2022 ): 105-116 <https://dergipark.org.tr/en/pub/epod/issue/71014/1029044>
Chicago Özdemir, G. , Atar, B. "Investigation of the Missing Data Imputation Methods on Characteristic Curve Transformation Methods Used in Test Equating". Journal of Measurement and Evaluation in Education and Psychology 13 (2022 ): 105-116
RIS TY - JOUR T1 - Investigation of the Missing Data Imputation Methods on Characteristic Curve Transformation Methods Used in Test Equating AU - GüldenÖzdemir, BurcuAtar Y1 - 2022 PY - 2022 N1 - doi: 10.21031/epod.1029044 DO - 10.21031/epod.1029044 T2 - Journal of Measurement and Evaluation in Education and Psychology JF - Journal JO - JOR SP - 105 EP - 116 VL - 13 IS - 2 SN - 1309-6575-1309-6575 M3 - doi: 10.21031/epod.1029044 UR - https://doi.org/10.21031/epod.1029044 Y2 - 2022 ER -
EndNote %0 Journal of Measurement and Evaluation in Education and Psychology Investigation of the Missing Data Imputation Methods on Characteristic Curve Transformation Methods Used in Test Equating %A Gülden Özdemir , Burcu Atar %T Investigation of the Missing Data Imputation Methods on Characteristic Curve Transformation Methods Used in Test Equating %D 2022 %J Journal of Measurement and Evaluation in Education and Psychology %P 1309-6575-1309-6575 %V 13 %N 2 %R doi: 10.21031/epod.1029044 %U 10.21031/epod.1029044
ISNAD Özdemir, Gülden , Atar, Burcu . "Investigation of the Missing Data Imputation Methods on Characteristic Curve Transformation Methods Used in Test Equating". Journal of Measurement and Evaluation in Education and Psychology 13 / 2 (June 2022): 105-116 . https://doi.org/10.21031/epod.1029044
AMA Özdemir G. , Atar B. Investigation of the Missing Data Imputation Methods on Characteristic Curve Transformation Methods Used in Test Equating. JMEEP. 2022; 13(2): 105-116.
Vancouver Özdemir G. , Atar B. Investigation of the Missing Data Imputation Methods on Characteristic Curve Transformation Methods Used in Test Equating. Journal of Measurement and Evaluation in Education and Psychology. 2022; 13(2): 105-116.
IEEE G. Özdemir and B. Atar , "Investigation of the Missing Data Imputation Methods on Characteristic Curve Transformation Methods Used in Test Equating", Journal of Measurement and Evaluation in Education and Psychology, vol. 13, no. 2, pp. 105-116, Jun. 2022, doi:10.21031/epod.1029044