A test-theoretic approach to observed-score equating

Psychometrika

Volumn 65, Issue 4, 2000, Pages 437-456

  Van Der Linden, Wim J ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Equating criteria; Equipercentile method; Multidimensionality; Observed score equating

Indexed keywords

EID: 0034561859     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02296337     Document Type: Article

References (35)

1. 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 Press.
2. Campbell, N. R. (1928). An account of the principles of measurement and calculation. London: Longmans, Green &Co.
3. Cizek, G.J., Kenney, P.A., Kolen, M.J., Peters, C.W., & van der Linden, W.J. (1999). The feasibility of linking scores on the proposed Voluntary National Test and the National Assessment of Educational Progress [Final report]. Washington, DC: National Assessment Governing Board.
4. Dorans, N.J. (1999). Correspondences between ACT and SAT I scores, (College Board Rep. No. 99-1). New York: College Entrance Board.
5. Dubois, P.H. (1970). A history of psychological testing. Boston: Allyn & Bacon.
6. Feuer, M.J., Holland, P.W., Green, B.F., Bertenthal, M. W., & Hemphill, F. C. (Eds.). (1999). Uncommon measures: Equivalence and linkage among educational tests. Washington, DC: National Academy Press.
7. Glas, C.A.W. (1992). A Rasch model with a multivariate distribution of ability. In M. Wilson (Ed.), Objective measurement: Theory into practice (Vol. 1, pp. 236-260). Norwood, NJ: Ablex.
8. Grayson, D.A. (1988). Two-group classification in latent trait theory: Scores with monotone likelihood ratio. Psychometrika, 53, 383-392.
9. Harris, D.B., & Crouse, J.D. (1993). A study of criteria used in equating. Applied Measurement in Education, 6, 195-240.
10. Holland, P.W., & Rubin, D.B. (Eds.). (1982). Test equating. New York: Academic Press.
11. Junker, B.W., & Sijtsma, K. (2000). Latent and manifest monotonicity in item response models. Applied Psychological Measurement, 24, 65-81.
12. Kolen, M.J., & Brennan, R.L. (1995). Test equating: Methods and practices. New York, NY: Springer-Verlag.
13. Koretz, D.M., Bertenthal, M.W., & Green, B.F. (Eds.). (1999). Embedded questions: The pursuit of a common measure in uncommon tests. Washington, DC: National Academy Press.
14. Lehmann, E.L. (1986). Testing statistical hypothesis (2nd ed.). New York, NY: Wiley & Sons.
15. Linn, R.L. (1993). Linking results of distincts assessments. Applied Measurement in Education, 6, 83-102.
16. Liou, M., & Cheng, P.E. (1995). Asymptotic standard error of equipercentile equating. Journal of Educational and Behavioral Statistics, 20, 119-136.
17. Lord, F.M. (1980). Applications of item response theory to practical testing problems. Hillsdale, NJ: Erlbaum.
18. Lord, F.M. (1982). The standard error of equipercentile equating. Journal of Educational Statistics, 7, 165-174.
19. Lord, F.M., & Wingersky, M.S. (1984). Comparison of IRT true-score and equipercentile observed-score "equatings". Applied Psychological Measurement, 8, 452-461.
20. Mislevy, R.J. (1992). Linking educational assessments: Concepts, issues, methods, and prospects. Princeton, NJ: Educational Testing Service.
21. Morris, C.N. (1982). On the foundations of test equating. In P.W. Holland & D.B. Rubin (Eds.), Test equating (pp. 169-191). New York, NY: Academic Press.
22. Pashley, P.J., & Philips, G.W. (1993). Towards world-class standards: A research study linking international and national assessments. Princeton, NJ: Educational Testing Service, Center for Educational Progress.
23. Rasch, G. (1960). Probabilistic models for some intelligence and attainment tests. Copenhagen: Danish Institute for Educational Research.
24. Spearman, C. (1904). The proof and measurement of association between two things. American Journal of Psychology, 15, 72-101.
25. Suppes, P., & Zinnes, J.L. (1963). Basic measurement theory. In R.D. Luce, R.R. Bush, & E. Galanter (Eds.), Handbook of mathematical psychology(Vol. 1, pp. 1-76). New York, NY: Wiley & Sons.
26. van der Linden, W. J. (1996). Assembling tests for the measurement of multiple abilities. Applied Psychological Measurement, 20, 373-388.
27. van der Linden, W.J. (1998a). Stochastic order in dichotomous iem response models for fixed, adaptive, and multidimensional tests. Psychometrika, 63, 211-226.
28. van der Linden, W.J. (1998b). Optimal assembly of psychological and educational tests. Applied Psychological Measurement, 22, 195-211.
29. van der Linden, W.J. (in press). Adaptive testing with equated number-correct scoring. Applied Psychological Measurement, 25.
30. van der Linden, W.J., & Luecht, R.M. (1998). Observed-equating as a test assembly problem. Psychometrika, 63, 401-418.
31. van der Linden, W.J. & Vos, J.H. (1996). A compensatory approach to optimal selection with mastery scores. Psychometrika, 61, 155-172.
32. Wilk, M. B., & Gnanadesikan, R. (1968). Probability plotting methods for the analysis of data. Biometrika, 55, 1-17.
33. Williams, V., Billaud, L., Davis, D., Thissen, D., & Sanford, E. (1995). Projecting the NAEP scale: Results from the North Carolina end - of-grade testing program (Technical Rep. No. 34). Chapel Hill, NC: University of North Carolina, Chapel Hill, National Institute of Statistical Sciences.
34. Yen, W. (1983). Tau-equivalence and equipercentile equating. Psychometrika, 48, 353-369.
35. Zeng, L., & Kolen, M.J. (1995). An alternative approach for IRT observed-score equating of number-correct scores. Applied Psychological Measurement, 19, 231-240.