A Comparison of Traditional and Kernel Equating Method
A Comparison of Traditional and Kernel Equating Method
In this study, the equated score results of the kernel equating (KE)method compared with the results of traditional equating methods—equipercentile and linear equating and 9th grade 2009 ÖBBS Form B of SocialSciences and 2009 ÖBBS Form D of Social Sciences was used under anequivalent groups (EG) design. Study sample consists of 16.249 studentstaking booklets B and another 16.327 students taking D in that test. Theanalysis of the test forms was carried out in four steps. First, descriptivestatistics were calculated for the data and then it was checked whether the dataobtained from the two booklets satisfy the equating conditions. In the secondstep, the booklets were equated according to methods. Lastly, the errors foreach equating methods were calculated. Kernel equating results were nearlysame to the results from the corresponding traditional equating methods. InKernel equating, when parameter h was selected as optimal, equated scoresprovided almost identical results as traditional equipercentile equating. Whenit was selected large, this time the equated scores provided results almostidentical to traditional linear equating. It is concluded that Kernel equatingmethods are relatively more the most appropriate equating method methodthan traditional equating methods.
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- Akhun, İ. (1984). İki korelasyon katsayısı arasındaki manidarlığın test edilmesi. Ankara
Üniversitesi Eğitim Bilimleri Fakültesi Dergisi, 17, 1-7.
- Albano, A. D. (2016). equate: An R package for observed-score linking and equating. Journal
of Statistical Software, 74(8), 1-36.
- Andersson, B., Branberg, K., & Wiberg, M. (2013). Performing the Kernel Method of Test
Equating with the Package kequate. Journal of Statistical Software, 55(6), 1–25.
- Baykul, Y. (1996). İstatistik: Metodlar ve uygulamalar (3. Baskı). Ankara: Anı Yayıncılık
- Büyüköztürk, Ş. (2007). Sosyal bilimler için veri analizi el kitabı (8.Baskı). Ankara: Pegem A
Yayıncılık.
- Choi, S. I. (2009). A comparison of kernel equating and traditional equipercentile equating
methods and the parametric bootstrap methods for estimating Standard errors in
equipercentile equating. Unpublished doctoral dissertation.University of Illinois at
Urbana-Champaign.
- Dorans, J. N., & Holland, P. W. (2000). Population invariance and the equitability of tests:
Basic theory and the linear case. Journal of Measurement, 37, 281-306.
- Eğitim, Araştırma ve Geliştirmesi Daire Başkanlığı (EARGED). (2010). Ortaöğretim ÖBBS
raporu 2009. Ankara, Milli Eğitim Bakanlığı.
- Grant, M. C., Zhang, L., & Damiano, I. (2009). An Evaluation of Kernel Equating: Parallel
Equating With Classical Methods in the SAT Subject Tests™ Program. ETS Research
Report Series, 2009 (1), i-25.
- Hambleton, R. K., & Swaminathan, H. (1985). Item response theory: principles and
applications. Boston: Academic Puslishers Group.
- Holland, P. W. (2007). A framework and history forscore linking. In Dorans, N.J., Pommerich,
M., & Holland, P. W. (Eds.), Linking and aligning scores and scales (pp. 5-30). Springer,
New York, NY.
- Kelecioğlu, H., & Öztürk Gübeş, N. (2013). Comparing linear equating and equipercentile
equating methods using random groups design. International Online Journal of
Educational Sciences, 5(1), 227-241.
- Kolen, M. J. (1988). An NCME instructional module on traditional equating methodology.
Educational Measurement: Issues and Practice, 7, 29-36.
- Kolen, M. J., & Brennan, R. L. (2004). Test equating, scaling, and linking: Methods and
practices (2nd. ed.). New York: Springer
- Lee, Y. H., & von Davier, A. A. (2011). Equating through alternative kernels. In von Davier,
A. (Ed.) Statistical models for test equating, scaling, and linking (pp. 159-173).Springer
New York.
- Livingston, S. A. (2014). Equating test scores (without IRT), (2nd. ed.). Educational testing
service.
- Lorenzo-Seva, U., & Ferrando, P. J. (2006). FACTOR: A computer program to fit the
exploratory factor analysis model. Behavior Research Methods, 38(1), 88-91.
- Mao, X. (2006). An investigation of the accuracy of the estimates of Standard errors for the
kernel equating functions. Unpublished doctoral dissertation, The University of Iowa.
- Mao, X., von Davier, A. A., & Rupp, S. (2006). Comparisons of the Kernel Equating Method
with the Traditional Equating Methods on Praxis™ Data. ETS Research Report Series,
2006(2).
- R Core Team. (2017). R: A language and environment for statistical computing [Computer
software manual]. Vienna, Austria.
- Ricker, K. L.,& Davier, A. A. (2007). The impact of anchor test length on equating results in a
nonequivalent groups design. ETS Research Report Series, 2007(2).
- von Davier, A., Holland, P. W., Livingston, S. A., Casabianca, J., Grant, M. C., & Martin, K.
(2006). An Evaluation of the Kernel Equating Method: A Special Study with Pseudo tests
Constructed from Real Test Data. ETS Research Report Series, 2006(1).
- von Davier, A., Holland, P. W., & Thayer, D. T. (2004). The Kernel method of equating. New
York, NY: Springer.
- Zhu, W. (1998). Test equating: What, why, how?. Research Quarterly for Exercise and Sport,
69(1), 11-23.