Item-Weighted Likelihood Method for Ability Estimation in Tests Composed of Both Dichotomous and Polytomous Items

Journal of Educational and Behavioral Statistics

Volumn 37, Issue 2, 2012, Pages 298-315

  Tao, Jian ^a   Shi, Ning Zhong ^a   Chang, Hua Hua ^b  

^a NORTHEAST NORMAL UNIVERSITY   (China)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

bias; dichotomous response; generalized partial credit model; item weighted likelihood; mixed type test; polytomous response

Indexed keywords

EID: 84859411759     PISSN: 10769986     EISSN: None     Source Type: Journal    
DOI: 10.3102/1076998610393969     Document Type: Article

References (23)

1. Baker F.B.Item response theory: Parameter estimation techniques. New York, NY: Marcel Dekker; 1992:.
2. Baker F.B.,Kim S.-H.Item response theory: Parameter estimation techniques. 2004). Item response theory: Parameter estimation techniques. Revised and expanded (2nd ed.). New York, NY: Marcel Dekker.New York, NY: Marcel Dekker; 2004:.
3. Birnbaum A.Statistical theories of mental test scores. M. Lord F.Novick M.R., ed. Reading, MA: Addison-Wesley; 1968:397-472.
4. Donoghue J.R.An empirical examination of the IRT information of polytomously scored reading items under the generalized partial credit model.Journal of Educational Measurement. 1994;41:295-311.
5. Embretson S.E.,Reise S.P.Item response theory for psychologists. Mahwah, NJ: Erlbaum; 2000:.
6. Firth D.Bias reduction of maximum likelihood estimates.Biometrika. 1993;80:27-38.
7. Jodoin M.G.Measurement efficiency of innovative item formats in computer-based testing.Journal of Educational Measurement. 2003;40:1-15.
8. Hu F.The asymptotic properties of the maximum-relevance weighted likelihood estimators.The Canadian Journal of Statistics. 1997;30:45-59.
9. Hu F.,Rosenberger W.F.Analysis of time trends in adaptive designs with application to a neurophysiology experiment.Statistics in Medicine. 2000;19:2067-2075.
10. Hu F.,Zidek J.V.Incorporating relevant sample information using the likelihood. Vancouver, British Columbia, Canada: Department of Statistics, The University of British Columbia; 1995:.
11. Linacre J.M.,Wright B.Chicago, IL: MESA Press; 1995:.
12. Lord F.M.Applications of item response theory to practical testing problems. Hillsdale, NJ: Erlbaum; 1980:.
13. Lord F.M.Unbiased estimators of ability parameters, of their variance, and of their parallel-forms reliability.Psychometrika. 1983;48:233-245.
14. Muraki E.A generalized partial credit model: Application of an EM algorithm.Applied Psychological Measurement. 1992;16:159-176.
15. Muraki E.Information functions of the generalized partial credit model.Applied Psychological Measurement. 1993;17:351-363.
16. Muraki E.Handbook of modern item response theory. van der Linden W.J.Hambleton R.K., ed. New York, NY: Springer; 1997:153-164.
17. Muraki E.,Bock R.D.Lincolnwood, IL: Scientific Software International; 2003:.
18. Penfield R.D.,Bergeron J.M.Applying a weighted maximum likelihood latent trait estimator to the generalized partial credit model.Applied Psychological Measurement. 2005;29:218-233.
19. Wang S.,Wang T.Precision of Warm's weighted likelihood estimates for a polytomous model in computerized adaptive testing.Applied Psychological Measurement. 2001;25:317-331.
20. Wang T.,Hanson B.A.,Lau C.A.Reducing bias in CAT ability estimation: A comparison of approaches.Applied Psychological Measurement. 1999;23:263-278.
21. Wang X.,van Eeden C.,Zidek J.V.Asymptotic properties of maximum weighted likelihood estimators.Journal of Statistical Planning and Inference. 2004;119:37-54.
22. Wang X.,Zidek J.V.Choosing likelihood weights by cross-validation.The Annals of Statistics. 2005;33:463-500.
23. Warm T.A.Weighted likelihood estimation of ability in item response theory.Psychometrika. 1989;54:427-450.