A unified approach to linear equating for the nonequivalent groups design

Journal of Educational and Behavioral Statistics

Volumn 30, Issue 3, 2005, Pages 313-342

  Von Davier, Alina A ^a   Kong, Nan ^a  

^a EDUCATIONAL TESTING SERVICE   (United States)

Author keywords

Chain linear equating; Delta method; Levine observed score equating; Nonequivalent groups anchor test (NEAT) design; Standard error of equating; Test equating; Tucker equating

Indexed keywords

EID: 27544476104     PISSN: 10769986     EISSN: None     Source Type: Journal    
DOI: 10.3102/10769986030003313     Document Type: Article

References (19)

1. Angoff, W. H. (1984). Scales, norms, and equivalent scores. Princeton, NJ: Educational Testing Service. (Reprinted from Educational measurement, 2nd ed., pp. 508-600, by R. L. Thorndike, Ed., 1971, Washington, DC: American Council on Education)
2. Braun, H. I., & Holland, P. W. (1982). Observed-score test equating: A mathematical analysis of some ETS equating procedures. In P. W. Holland & D. B. Rubin (Eds.), Test equating (pp. 9-49). New York: Academic.
3. Dorans, N. J. (2004). Using subpopulation invariance to assess test equity. In N. J. Dorans (Ed.), Assessing the population sensitivity of equating functions [Special issue]. Journal of Educational Measurement, 41(1).
4. Dorans, N. J., & Feigenbaum, M. D. (1994). Equating issues engendered by changes to the SAT and PSAT/NMSQT. In I. M. Lawrence, N. J. Dorans, M.D. Feigenbaum, N. J. Feryok, A. D. Schmitt, & N. K. Wright. Technical issues related to the introduction of the new SAT and PSAT/NMSQT (RM-94-10). Princeton, NJ: Educational Testing Service.
5. Dorans, N. J., & Holland, P. W. (2000). Population invariance and equitability of tests: Basic theory and the linear case. Journal of Educational Measurement, 37, 281-306.
6. Hanson, B. A., Zeng, L., & Kolen, M. J. (1993). Standard errors of Levine linear equating. Applied Psychological Measurement, 17, 225-237.
7. Harris, D. J., & Crouse, J. D. (1993). A study of criteria used in equating. Applied Measurement in Education, 6, 1995-240.
8. Holland, P. W., & Thayer, D. T. (2000). Univariate and bivariate loglinear models for discrete score distributions. Journal of Educational and Behavioral Statistics, 25, 133-183.
9. Kendall, M., & Stuart, A. (1977). The advance theory of statistics (4th ed., Vol. 1). New York: Macmillan.
10. Kirk, D. B. (1971). Toward a better understanding of the equating process. Unpublished manuscript.
11. Kolen, M. J. (1985). Standard errors of Tucker equating. Applied Psychological Measurement, 9, 209-223.
12. Kolen, M. J., & Brennan, R. J. (2004). Test equating: Methods and practices, 2nd ed. New York: Springer.
13. Rao, C. R. (1965). Linear statistical inference and applications. New York: Wiley.
14. von Davier, A. A. (2001). Testing unconfoundedness in regression models with normally distributed variables. Aachen: Shaker.
15. von Davier, A. A. (2003). Notes on linear equating methods for the Non-Equivalent Groups design (ETS RR-03-24). Princeton, NJ: Educational Testing Service.
16. von Davier, A. A., Holland, P. W., & Thayer, D. T. (2003). Population invariance and chain versus post-stratification methods for equating and test linking. In N. Dorans (Ed.), Population invariance of score linking: Theory and applications to Advanced Placement Program® Examinations (ETS RR-03-27). Princeton, NJ: Educational Testing Service.
17. von Davier, A. A., Holland, P. W., & Thayer, D. T. (2004a). The kernel method of test equating. New York: Springer.
18. von Davier, A. A., Holland, P. W., & Thayer, D. T. (2004b). The chain and post-stratification methods for observed-score equating: Their relationship to population invariance. In N. J. Dorans (Ed.), Assessing the population sensitivity of equating functions [Special issue]. Journal of Educational Measurement, 41(1).
19. Wichert, V. E. (1967). Methods of equating test forms and an equating computer system. Unpublished manuscript.