On using stochastic curtailment to shorten the SPRT in sequential mastery testing

Journal of Educational and Behavioral Statistics

Volumn 33, Issue 4, 2008, Pages 442-463

  Finkelman, Matthew ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

Computerized adaptive testing; Sequential mastery testing; Stochastic curtailment; Variable length testing

Indexed keywords

EID: 49549086562     PISSN: 10769986     EISSN: None     Source Type: Journal    
DOI: 10.3102/1076998607308573     Document Type: Article

References (21)

1. Birnbaum, A. (1968). Some latent trait models and their use in inferring an examinee's ability. In F. M. Lord & M. R. Novick (Eds.), Statistical theories of mental test scores (pp. 397-472). Reading, MA: Addison-Wesley.
2. Eggen, T. J. H. M. (1999). Item selection in adaptive testing with the sequential probability ratio test. Applied Psychological Measurement, 23, 249-261.
3. Eisenberg, B., & Ghosh, B. K. (1980). Curtailed and uniformly most powerful sequential tests. Annals of Statistics, 8, 1123-1131.
4. Eisenberg, B., Ghosh, B. K., & Simons, G. (1976). Properties of generalized sequential probability ratio tests. Annals of Statistics, 4, 237-251.
5. Eisenberg, B., & Simons, G. (1978). On weak admissibility of tests. Annals of Statistics, 6, 319-332.
6. Finkelman, M. (2004). Statistical issues in computerized adaptive testing. Unpublished doctoral dissertation, Stanford University, Palo Alto, CA.
7. Ghosh, J. K. (1960). On the monotonicity of the OC of a class of sequential probability ratio tests. Calcutta Statistical Association Bulletin, 9, 139-144.
8. Jennison, C., & Turnbull, B. W. (2000). Group sequential methods with applications to clinical trials. Boca Raton, FL: Chapman & Hall/CRC.
9. Kingsbury, G. G., & Zara, A. R. (1989). Procedures for selecting items for computerized adaptive tests. Applied Measurement in Education, 2, 359-375.
10. Lan, K. K. G., Simon, R., & Halperin, M. (1982). Stochastically curtailed tests in long-term clinical trials. Communications in Statistics-Sequential Analysis, 1, 207-219.
11. Lehmann, E. L. (1986). Testing statistical hypotheses. New York/Berlin: Springer-Verlag.
12. Lord, F. M. (1980). Applications of item response theory to practical testing problems. Hillsdale, NJ: Lawrence Erlbaum.
13. Siegmund, D. (1985). Sequential analysis: Tests and confidence intervals. New York/Berlin: Springer-Verlag.
14. Spray, J. A., & Reckase, M. D. (1994, April). The selection of test items for decision making with a computer adaptive test. Paper presented at the Annual Meeting of the National Council on Measurement in Education, New Orleans, LA.
15. Spray, J. A., & Reckase, M. D. (1996). Comparison of SPRT and sequential Bayes procedures for classifying examinees into two categories using a computerized test. Journal of Educational and Behavioral Statistics, 21, 405-414.
16. Stocking, M. L., & Lewis, C. (1998). Controlling item exposure conditional on ability in computerized adaptive testing. Journal of Educational and Behavioral Statistics, 23, 57-75.
17. Sympson, J. B., & Hetter, R. D. (1985). Controlling item exposure rates in computerized adaptive testing. In Proceedings of the 27th annual meeting of the Military Testing Association (pp. 937-977). San Diego, CA: Navy Personnel Research and Development Center.
18. Vos, H. J. (2000). A Bayesian procedure in the context of sequential mastery testing. Psicológica, 21, 191-211.
19. Wald, A. (1947). Sequential analysis. New York: John Wiley.
20. Wald, A., & Wolfowitz, J. (1948). Optimum character of the sequential probability ratio test. Annals of Mathematical Statistics, 19, 326-339.
21. Wiberg, M. (2003). An optimal design approach to criterion-referenced computerized testing. Journal of Educational and Behavioral Statistics, 28, 97-110.