Variations on stochastic curtailment in sequential mastery testing

Applied Psychological Measurement

Volumn 34, Issue 1, 2010, Pages 27-45

  Finkelman, Matthew David ^a  

^a TUFTS UNIVERSITY SCHOOL OF DENTAL MEDICINE   (United States)

Author keywords

Computerized adaptive testing; Item response theory; Sequential mastery testing; Sequential probability ratio test; Stochastic curtailment

Indexed keywords

EID: 74849099456     PISSN: 01466216     EISSN: 15523497     Source Type: Journal    
DOI: 10.1177/0146621609336113     Document Type: Article

References (28)

1. Bartroff, J., Finkelman, M., & Lai, T.L. (2008). Modern sequential analysis and its applications to computerized adaptive testing. Psychometrika, 73, 473-486.
2. 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. Reading, MA: Addison-Wesley.
3. Chang, H.-H., Qian, J., & Ying, Z. (2001). a-Stratified multistage CAT with b-blocking. Applied Psychological Measurement, 25, 333-341.
4. Chang, H.-H., & Stout, W. (1993). The asymptotic posterior normality of the latent trait in an IRT model. Psychometrika, 58, 37-52.
5. Chang, H.-H., & Ying, Z. (1996). A global information approach to computerized adaptive testing. Applied Psychological Measurement, 20, 213-229.
6. Eggen, T.J.H.M. (1999). Item selection in adaptive testing with the sequential probability ratio test. Applied Psychological Measurement, 23, 249-261.
7. Eggen, T.J.H.M., & Straetmans, G.J.J.M. (2000). Computerized adaptive testing for classifying examinees into three categories. Educational and Psychological Measurement, 60, 713-734.
8. Eggen, T., & Wouda, J. (2008, July). Stochastic curtailment in computerized classification testing in three categories. Paper presented at the III European Congress of Methodology, Oviedo, Spain.
9. Eisenberg, B., & Ghosh, B.K. (1980). Curtailed and uniformly most powerful sequential tests. The Annals of Statistics, 8, 1123-1131.
10. Eisenberg, B., & Simons, G. (1978). On weak admissibility of tests. The Annals of Statistics, 6, 319-332.
11. Finkelman, M. (2008). On using stochastic curtailment to shorten the SPRT in sequential mastery testing. Journal of Educational and Behavioral Statistics, 33, 442-463.
12. Hambleton, R.K., Swaminathan, H., & Rogers, H.J. (1991). Fundamentals of item response theory. Newbury Park, CA: Sage.
13. Jennison, C., & Turnbull, B.W. (2000). Group sequential methods with applications to clinical trials. Boca Raton, FL: Chapman & Hall/CRC.
14. Kingsbury, G.G., & Zara, A.R. (1989). Procedures for selecting items for computerized adaptive tests. Applied Measurement in Education, 2, 359-375.
15. Lai, T.L., & Shih, M.C. (2004). Power, sample size and adaptation considerations in the design of group sequential clinical trials. Biometrika, 91, 507-528.
16. 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.
17. Lord, F.M. (1980). Applications of item response theory to practical testing problems. Hillsdale, NJ: Lawrence Erlbaum.
18. Petrov, V.V. (1995). Limit theorems of probability theory. Oxford, UK: Oxford University Press.
19. Reckase, M.D. (1983). A procedure for decision making using tailored testing. In D. J. Weiss (Ed.), New horizons in testing: Latent trait theory and computerized adaptive testing (pp. 237-254). New York: Academic Press.
20. Spray, J.A., & Reckase, M.D. (April, 1994). 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.
21. 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.
22. 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.
23. 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.
24. van der Linden, W.J. (1998). Bayesian item selection criteria for adaptive testing. Psychometrika, 63, 201-216.
25. van der Linden, W.J. (2000). Constrained adaptive testing with shadow tests. In W. J. van der Linden & C. A. W. Glas (Eds.), Computerized adaptive testing: Theory and practice (pp. 27-52). Boston: Kluwer.
26. Vos, H.J. (2000). A Bayesian procedure in the context of sequential mastery testing. Psicológica, 21, 191-211.
27. Wald, A. (1947). Sequential analysis. New York: John Wiley.
28. Wiberg, M. (2003). An optimal design approach to criterion-referenced computerized testing. Journal of Educational and Behavioral Statistics, 28, 97-110.