Hypergeometric family and item overlap rates in computerized adaptive testing

Psychometrika

Volumn 67, Issue 3, 2002, Pages 387-398

  Chang, Hua Hua ^a   Zhang, Jinming ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b EDUCATIONAL TESTING SERVICE   (United States)

Author keywords

Computerized adaptive testing; Hypergeometric distribution; Item exposure rate; Item overlap rate; Item selection; Stratification; Sympson Hetter method; Test security

Indexed keywords

EID: 0036745517     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02294991     Document Type: Article

References (21)

1. Bickel, P.J., & Doksum, K.A. (1977). Mathematical statistics. San Francisco, CA: Holden-Day.
2. Birnbaum, A. (1968). Some latent trait models and their use in inferring an examinee's ability. In F.M. Lord & M.R. Novick, Statistical theories of mental test scores (pp. 395-479). Reading. MA: Addison-Wesley.
3. Chang, H., & Ying, Z. (1996). A global information approach to computerized adaptive testing. Applied Psychological Measurement, 20, 213-229.
4. Chang, H., & Ying, Z. (1999). A-stratified multistage in computerized adaptive testing. Applied Psychological Measurement, 23, 211-222.
5. Chen, S., Ankenmann, R.D., & Spray, J.A. (1999, April). Exploring the relationship between item exposure rate and item overlap rate in computerized adaptive testing. Paper presented at the 1999 Annual Meeting of the National Council on Measurement in Education, Montreal, Canada.
6. Davey, T., & Parshall, C. (1995, April). New algorithms for item selection and exposure control with computerized adaptive testing. Paper presented at the annual meeting of the American Educational Research Association, San Francisco, CA.
7. Hulin, C.L., Drasgow, F., & Parsons, C.K. (1983). Item response theory: Application to psychological measurement. Homewood, IL: Dow Jones-Irwin.
8. Lord, F.M. (1970). Some test theory for tailored testing. In W.H. Holzman (Ed.), Computer assisted instruction, testing, and guidance. New York, NY: Harper and Row.
9. Lord, F.M. (1980). Applications of item response theory to practical testing problems. Hillsdale, NJ: Lawrence Erlbaum Associates.
10. McBride, J.R., & Martin, J.T. (1983). Reliability and validity of adaptive ability tests in a military setting. In D.J. Weiss (Ed.), New horizons in testing (pp. 223-226). New York, NY: Academic Press.
11. Owen, Z.J. (1975). A Bayesian sequential procedure for quantal response in the context of adaptive mental testing. Journal of American Statistical Association, 70, 351-356.
12. Stocking, M.L. (1994). Three practical issues for modern adaptive testing item pools (ETS Research Rep. No. 94-5). Princeton, NJ: Educational Testing Service.
13. Stocking, M.L., & Lewis, C. (1995). A new method of controlling item exposure in computerized adaptive testing (ETS Research Rep. No. 95-25). Princeton, NJ: Educational Testing Service.
14. 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.
15. Sympson, J.B., & Hetter, R.D. (1985, October). Controlling item-exposure rates in computerized adaptive testing. Proceedings of the 27th Annual Meeting of the Military Testing Association (pp. 973-977). San Diego, CA: Navy Personnel Research and Development Center.
16. Thomasson, G.L. (1995, June). New item exposure control algorithms for computerized adaptive testing. Paper presented at the annual meeting of the Psychometric Society, Minneapolis, MN.
17. van der Linden, W.J., & Reese, L.M. (1998). A model for optimal constrained adaptive testing. Applied Psychological Measurement, 22, 259-270.
18. Wainer, H. (1990). Computerized adaptive testing: A primer. Hillsdale, NJ: Lawrence Erlbaum Association.
19. Wainer, H. (2000). Rescuing computerized testing by breaking Zipf's law. Journal of Educational and Behavioral Statistics, 25, 203-224.
20. Way, W.D. (1998). Protecting the integrity of computerized testing item pools. Educational Measurement: Issues and Practice, Winter, 17-27.
21. Weiss, D.J. (1976). Adaptive testing research in Minnesota: Overview, recent results, and future directions. In C.L. Clark (Ed.), Proceedings of the First Conference on Computerized Adaptive Testing (pp. 24-35). Washington, DC: United States Civil Service Commission.