A person fit test For IRT models For polytomous items

Psychometrika

Volumn 72, Issue 2, 2007, Pages 159-180

  Glas, C A W ^a   Dagohoy, Anna Villa T ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Item response theory; Model fit; Multidimensional item response theory; Person fit; Polytomous items; Power; Type I error

Indexed keywords

EID: 60249087734     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11336-003-1081-5     Document Type: Article

References (50)

1. Aitchison, J., & Silvey, S.D. (1958). Maximum likelihood estimation of parameters subject to restraints. Annals of Mathematical Statistics, 29, 813-828.
2. Andersen, E.B. (1973). A goodness of fit test for the Rasch model. Psychometrika, 38, 123-140.
3. Bock, R.D., & Aitkin, M. (1981). Marginal maximum likelihood estimation of item parameters: An application of an EM-algorithm. Psychometrika, 46, 443-459.
4. Bock, R.D., Gibbons, R.D., & Muraki, E. (1988). Full-information factor analysis. Applied Psychological Measurement, 12, 261-280.
5. Costa, P.T., Jr., & McCrae, R.R. (1992). Normal personality assessment in clinical practice: The NEO personality inventory. Psychological Assessment, 4, 5-13.
6. Drasgow, F., Levine, M.V., & McLaughlin, M.E. (1991). Appropriateness measurement for some multidimensional test batteries. Applied Psychological Measurement, 15, 171-191.
7. Drasgow, F., Levine, M.V., & Williams, E.A. (1985). Appropriateness measurement with polychotomous item response models and standardized indices. British Journal of Mathematical and Statistical Psychology, 38, 67-86.
8. Gibbons, R.D., & Hedeker, D.R. (1992). Full-information bi-factor analysis. Psychometrika, 57, 423-436.
9. Glas, C.A.W. (1988). The derivation of some tests for the Rasch model from the multinomial distribution. Psychometrika, 53, 525-546.
10. Glas, C.A.W. (1999). Modification indices for the 2-pl and the nominal response model. Psychometrika, 64, 273-294.
11. Glas, C.A.W., & Suárez Falcón, J.C. (2003). A comparison of item-fit statistics for the three-parameter logistic model. Applied Psychological Measurement, 27, 87-106.
12. Glas, C.A.W., Wainer, H., & Bradlow. (2000). MML and EAP estimates for the testlet response model. In W.J. van der Linden, & C.A.W. Glas (Eds.), Computer adaptive testing: Theory and practice (pp. 271-287). Boston: Kluwer-Nijhoff.
13. Jansen, M.G.H., & Glas, C.A.W. (2005). Checking the assumptions of Rasch's model for speed tests. Psychometrika, 70, 671-684.
14. Klauer, K.C. (1995). The assessment of person fit. In G.H. Fischer, & I.W. Molenaar (Eds.), Rasch models, foundations, recent developments, and applications (pp. 97-110). New York: Springer-Verlag.
15. Klauer, K.C., & Rettig, K. (1990). An approximately standardized person test for assessing consistency with a latent trait model. British Journal of Mathematical and Statistical Psychology, 43, 193-206.
16. Levine, M.V., & Rubin, D.B. (1979). Measuring the appropriateness of multiple-choice test scores. Journal of Educational Statistics, 4, 269-290.
17. Masters, G.N. (1982). A Rasch model for partial credit scoring. Psychometrika, 47, 149-174.
18. McDonald, R.P. (1997). Normal-ogive multidimensional model. In W.J. van der Linden, & R.K. Hambleton (Eds.), Handbook of modern item response theory (pp. 257-269). New York: Springer-Verlag.
19. Meijer, R.R., & Sijtsma, K. (1995). Detection of aberrant item score patterns: A review and new developments. Applied Measurement in Education, 8, 261-272.
20. Meijer, R.R., & Sijtsma, K. (2001). Methodology review: Evaluating person fit. Applied Psychological Measurement, 25, 107-135.
21. Mellenbergh, G.J. (1995). Conceptual notes on models for discrete polytomous item responses. Applied Psychological Measurement, 19, 91-100.
22. Mislevy, R.J. (1986). Bayes modal estimation in item response models. Psychometrika, 51, 177-195.
23. Molenaar, I.W. (1983). Some improved diagnostics for failure in the Rasch model. Psychometrika, 48, 49-72.
24. Molenaar, I.W., & Hoijtink, H. (1990). The many null distributions of person fit indices. Psychometrika, 55, 75-106.
25. Muraki, E. (1992). A generalized partial credit model: Application of an EM algorithm. Applied Psychological Measurement, 16, 159-176.
26. Nering, M.L. (1995). The distribution of person fit statistics using true and estimated person parameters. Applied Psychological Measurement, 19, 121-129.
27. Orlando, M., & Thissen, D. (2000). Likelihood-based item-fit indices for dichotomous item response theory models. Applied Psychological Measurement, 24, 50-64.
28. Rao, C.R. (1947). Large sample tests of statistical hypothesis concerning several parameters with applications to problems of estimation. Proceedings of the Cambridge Philosophical Society, 44, 50-57.
29. Rasch, G. (1960). Probabilistic models for some intelligence and attainment tests. Copenhagen: Danish Institute for Educational Research.
30. Reckase, M.D. (1997). A linear logistic multidimensional model for dichotomous item response data. In W.J. van der Linden, & R.K. Hambleton (Eds.), Handbook of modern item response theory (pp. 271-286). New York: Springer-Verlag.
31. Reise, S.P. (1995). Scoring method and the detection of person misfit in a personality assessment context. Applied Psychological Measurement, 19, 213-229.
32. Samejima, F. (1969). Estimation of latent ability using a pattern of graded scores. Psychometrika Monograph Supplement, No. 17. Greensboro, NC: Psychometric Society.
33. Samejima, F. (1973). Homogeneous case of the continuous response model. Psychometrika, 38, 203-219.
34. Sijtsma, K., & Meijer, R.R. (2001). The person response function as a tool in person-fit research. Psychometrika, 66, 191-207.
35. Smith, R.M. (1985). A comparison of Rasch person analysis and robust estimators. Educational and Psychological Measurement, 45, 433-444.
36. Smith, R.M. (1986). Person fit in the Rasch model. Educational and Psychological Measurement, 46, 359-372.
37. Snijders, T. (2001). Asymptotic distribution of person-fit statistics with estimated person parameter. Psychometrika, 66, 331-342.
38. Sörbom, D. (1989). Model modification. Psychometrika, 54, 371-384.
39. Tatsuoka, K.K. (1984). Caution indices based on item response theory. Psychometrika, 49, 95-110.
40. Thissen, D., Chen, W.-H., & Bock, R.D. (2003). Multilog. Lincolnwood, IL: Scientific Software International.
41. Tsutakawa, R.K., & Johnson, J.C. (1990). The effect of uncertainty of item parameter-estimation on ability estimates. Psychometrika, 55, 371-390.
42. Tutz, G. (1990). Sequential item response models with an ordered response. British Journal of Mathematical and Statistical Psychology, 43, 39-55.
43. van Krimpen-Stoop, E.M.L.A., & Meijer, R.R. (2002). Detection of person misfit in computerized adaptive tests with polytomous items. Applied Psychological Measurement, 26, 164-180.
44. Verhelst, N.D., Glas, C.A.W., & de Vries, H.H. (1997). A steps model to analyze partial credit. In W.J. van der Linden, & R.K. Hambleton (Eds.), Handbook of modern item response theory (pp. 123-138). New York: Springer-Verlag.
45. von Davier, M., & Molenaar, I.W. (2003). A person-fit index for polytomous Rasch models, latent class models, and their mixture generalizations. Psychometrika, 68, 213-228.
46. Wright, B.D., & Linacre, J.M. (1992). Bigsteps (Computer software). Chicago: MESA Press.
47. Wright, B.D., & Masters, G.N. (1982). Rating scale analysis. (Computer software). Chicago: Mesa Press.
48. Wright, B.D., & Stone, M.H. (1979). Best test design. Chicago: MESA Press University of Chicago.
49. Yen, W.M. (1981). Using simultaneous results to choose a latent trait model. Applied Psychological Measurement, 5, 245-262.
50. Yen, W.M. (1984). Effects of local item dependence on the fit and equating performance of the three-parameter logistic model. Applied Psychological Measurement, 8, 125-145.