Abstract
This chapter describes traditional equating methods and their implementation in R. The equate package (Albano, J Stat Softw 74(8):1–36, 2016) will be used the most, although the possibility to use SNSequate (González, J Stat Softw 59(7):1–30, 2014) for traditional equating methods will also be explored. The methods included in this chapter are mean, linear and equipercentile equating for different data collection designs.
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Notes
- 1.
Technically, the score probability distributions are not identifiable (see, San Martín and González 2017).
- 2.
Analytic standard errors are displayed when available.
- 3.
Because of the random sampling involved in the bootstrap method, the obtained figures can be different.
- 4.
Because of the random sampling involved in the bootstrap method, the obtained output can be different.
References
Albano, A. D. (2015). A general linear method for equating with small samples. Journal of Educational Measurement, 52(1), 55–69.
Albano, A. D. (2016). equate: An R package for observed-score linking and equating. Journal of Statistical Software, 74(8), 1–36.
Angoff, W. H. (1971). Scales, norms and equivalent scores. In R. L. Thorndike (Ed.), Educational measurement (2nd ed., pp. 508–600). Washington, DC: American Council on Education. Reprinted as Angoff W. H. (1984). Scales, norms and equivalent scores. Princeton, NJ: Educational Testing Service.
Babcock, B., Albano, A., & Raymond, M. (2012). Nominal weights mean equating a method for very small samples. Educational and Psychological Measurement, 72(4), 608–628.
Braun, H., & Holland, P. (1982). Observed-score test equating: A mathematical analysis of some ETS equating procedures. In P. Holland & D. Rubin (Eds.), Test equating (Vol. 1, pp. 9–49). New York: Academic Press.
Brennan, R. (2006). Chained linear equating (casma technical note no. 3). Iowa City, IA: Center for Advanced Studies in Measurement and Assessment, University of Iowa.
Crocker, L., & Algina, J. (1986). Introduction to classical and modern test theory. New York: Holt, Rinehart, and Winston. ERIC.
Dorans, N. J. (1990). Equating methods and sampling designs. Applied Measurement in Education, 3(1), 3–17.
Efron, B. (1982). The jackknife, the bootstrap and other resampling plans (Vol. 38). Philadelphia: SIAM.
Efron, B., & Tibshirani, R. (1993). An introduction to the bootstrap. London: Chapman & Hall.
González, J. (2014). SNSequate: Standard and nonstandard statistical models and methods for test equating. Journal of Statistical Software, 59(7), 1–30.
Gulliksen, H. (1950). Theory of mental tests. New York: Wiley.
Hanson, B. A. (1991). A note on Levine’s formula for equating unequally reliable tests using data from the common item nonequivalent groups design. Journal of Educational and Behavioral Statistics, 16(2), 93–100.
Hanson, B. A., Zeng, L., & Kolen, M. J. (1993). Standard errors of Levine linear equating. Applied Psychological Measurement, 17(3), 225–237.
Kolen, M., & Brennan, R. (2014). Test equating, scaling, and linking: Methods and practices (3rd ed.). New York: Springer.
Levine, R. (1955). Equating the score scales of alternate forms administered to samples of different ability. Research Bulletin 55–23. Princeton, NJ: Educational Testing Service.
Livingston, S., & Kim, S. (2009). The circle-arc method for equating in small samples. Journal of Educational Measurement, 46(3), 330–343.
Livingston, S. A., Dorans, N. J., & Wright, N. K. (1990). What combination of sampling and equating methods works best? Applied Measurement in Education, 3(1), 73–95.
Lord, F., & Novick, M. (1968). Statistical theories of mental test scores. Reading, MA: Addison-Wesley.
Petersen, N. S., Kolen, M. J., & Hoover, H. D. (1989). Scaling, norming, and equating. Educational measurement, 3, 221–262.
San Martín, E., & González, J. (2017). Analyzing the anchor test design in equating from an identification perspective (Manuscript submitted for publication).
Wiberg, M., & González, J. (2016). Statistical assessment of estimated transformations in observed-score equating. Journal of Educational Measurement, 53(1), 106–125.
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González, J., Wiberg, M. (2017). Traditional Equating Methods. In: Applying Test Equating Methods. Methodology of Educational Measurement and Assessment. Springer, Cham. https://doi.org/10.1007/978-3-319-51824-4_3
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DOI: https://doi.org/10.1007/978-3-319-51824-4_3
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