Test Equating Using Linear Equating Method
DOI:
https://doi.org/10.14738/assrj.113.16586Keywords:
Test forms, Congeneric Forms, Equating Designs, Linear equating, Equating errorsAbstract
The study aimed to equate two test forms using the linear equating method and estimate the amount of equating errors associated with the method. The linear equating method was used to adjust for the difficulties of the test Form A and Form B on students’ Mathematics test scores. A 20-item mathematics instrument was used for data collection. The bootstrap method was used in the determination of the amount of equating errors that come with this equating method. Data on participants’ test scores on these two congeneric parallel test forms were used for this study. All the requirements for equating the two test forms were met with a reliability coefficient of .71. The scores of a new Form B of the test were then equated to its referenced Form A using a linear equating method. Findings from the study revealed that the linear equating method produced scores that were beyond the required possible observed scores, especially at the lower end of the scores. Again, the amount of error associated with the linear equating method seems to decrease consistently from the low ability scores to the high ability scores.
References
Aşiret, S., & Sünbül, S. Ö. (2016). Investigating test equating methods in small samples through various factors. Educational Sciences: Theory & Practice, 16(2) 647-668.
Cui, Z., & Kolen, M. J. (2009). Evaluation of two new smoothing methods in equating: The cubic b-spline pre-smoothing method and the direct pre smoothing method. Journal of Educational Measurement, 46(2), 135–158.
Dorans, N. J., & Holland, P. W. (2000). Population invariance and the equatability of tests: Basic theory and the linear case. Journal of Educational Measurement, 37, 281-306. 111
Hambleton, R. K., Swaminathan, H., & Rogers (1991). Fundamentals of item response theory. Newbury Park, CA: Sage Publications.
Heh, V. K. (2007). Equating accuracy using small samples in the random groups design (Doctoral dissertation). Patton College of Education at Ohio University, Athens, OH.
Kolen, M. J. & Brennan, R. L. (2014). Test equating, scaling and linking. New York, NY: Springer.
Lamprianou, I. (2007). An investigation into the test equating methods used during 2006, and the potential for strengthening their validity and reliability
Livingston, S. A. (2004). Equating test scores. Princeton, NJ: ETS.
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