Performance of the generalized S-X2 item fit index for polytomous IRT models

Journal of Educational Measurement

Volumn 45, Issue 4, 2008, Pages 391-406

  Kang, Taehoon ^a   Chen, Troy T ^a  

^a American College Testing Incorporated   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 57049129930     PISSN: 00220655     EISSN: 17453984     Source Type: Journal    
DOI: 10.1111/j.1745-3984.2008.00071.x     Document Type: Article

References (36)

1. Andrich, D. (1978). Application of a psychometric model to ordered categories which are scored with successive integers. Applied Psychological Measurement, 2, 581 594.
2. Bock, R. D. (1972). Estimating item parameters and latent ability when responses are scored in two or more nominal categories. Psychometrika, 37, 29 51.
3. Bolt, D. M. (2002). A Monte Carlo comparison of parametric and nonparametric polytomous DIF detection methods. Applied Measurement in Education, 15, 113 141.
4. DeMars, C. E. (2005). Type I error rates for PARSCALE's fit index. Educational and Psychological Measurement, 65, 42 50.
5. Douglas, J., & Cohen, A. S. (2001). Nonparametric item response function estimation for assessing parametric model fit. Applied Psychological Measurement, 25, 234 243.
6. Glas, C. A. W., & Suarez-Falcon, J. C. (2003). A comparison of item fit statistics for the three-parameter logistic model. Applied Psychological Measurement, 27, 87 106.
7. Hambleton, R. K., Swaminathan, H., & Rogers, H. J. (1991). Fundamentals of item response theory. Newbury Park, CA : Sage.
8. Larntz, K. (1978). Small-sample comparisons of exact levels for chi-squared goodness-of-fit statistics. Journal of the American Statistical Association, 73, 253 263.
9. Lawley, D. N. (1943). On problems connected with item selection and test construction. Proceedings of the Royal Society of Edinburgh, 61A, 273 287.
10. Liang, T., & Wells, C. S. (2007, April). A model fit statistic for generalized partial credit model. Paper presented at the annual meeting of the National Council on Measurement in Education, Chicago.
11. Lord, F. M. (1952). A theory of test scores. Psychometric Monograph, 7.
12. Lord, F. M., & Wingersky, M. S. (1984). Comparison of IRT true-score and equipercentile observed-score "equatings." Applied Psychological Measurement, 8, 453 461.
13. Masters, G. N. (1982). A Rasch model for partial credit scoring. Psychometrika, 47, 149 174.
14. McKinley, R. L., & Mills, C. N. (1985). A comparison of several goodness-of-fit statistics. Applied Psychological Measurement, 9, 49 57.
15. Micceri, T. (1989). The unicorn, the normal curve and other improbable creatures. Psychological Bulletin, 105, 156 166.
16. Mislevy, R. J., & Bock, R. D. (1990). PC-BILOG: Item analysis and test scoring with binary logistic models [Computer software and manual]. Mooresville, IN : Scientific Software.
17. Molenaar, I. W., & Hoijtink, H. (1990). The many null distributions of person fit indices. Psychometrika, 55, 75 106.
18. Muraki, E. (1992). A generalized partial credit model: Application of an EM algorithm. Applied Psychological Measurement, 16, 159 176.
19. Muraki, E. (1996). A generalized partial credit model. In W. J. van der Linden & R. K. Hambleton (Eds Handbook of modern item response theory (pp. 153 168). New York : Springer.
20. Muraki, E., & Bock, R. D. (1997). PARSCALE: IRT item analysis and test scoring for rating-scale data [Computer software and manual]. Chicago : Scientific Software.
21. Orlando, M., & Thissen, D. (2000). New item fit indices for dichotomous item response theory models. Applied Psychological Measurement, 24, 50 64.
22. 2: An item fit index for use with dichotomous item response theory models. Applied Psychological Measurement, 27, 289 298.
23. Roberts, J. S. (2008). Modified likelihood-based item fit statistics for the generalized graded unfolding model. Applied Psychological Measurement, 32, 407 423.
24. Rupp, A. A., & Zumbo, B. D. (2004). A note on how to quantify and report whether IRT parameter invariance holds: When Pearson correlations are not enough. Educational and Psychological Measurement, 65, 588 599.
25. Samejima, F. (1969). Estimation of latent ability using a response pattern of graded scores. Psychometrika Monograph, 17.
26. Shepard, L., Camilli, G., & Williams, D. M. (1984). Accounting for statistical artifacts in item bias research. Journal of Educational Statistics, 9, 93 128.
27. Sinharay, S. (2003). Bayesian item analysis for dichotomous item response theory models (ETS Research Report RR-03-34). Retrieved May 10, 2005, from http://www.ets.org/research/researcher/rr0334.htm.
28. Sinharay, S. (2005, April). Bayesian item fit analysis for unidimensional item response models. Paper presented at the annual meeting of the National Council on Measurement in Education, Montreal, Canada.
29. Stone, C. A. (2000). Monte Carlo based null distribution for an alternative goodness-of-fit test statistic in IRT models. Journal of Educational Measurement, 37, 58 75.
30. Stone, C. A., & Hansen, M. A. (2000). The effect of errors in estimating ability on goodness-of-fit tests for IRT models. Educational and Psychological Measurement, 60, 974 991.
31. Stone, C. A., & Zhang, B. (2003). Assessing goodness of fit of item response theory models: A comparison of traditional and alternative procedures. Journal of Educational Measurement, 40, 331 352.
32. Suarez-Falcon, J. C., & Glas, C. A. W. (2003). Evaluation of global testing procedures for item fit to the Rasch model. British Journal of Mathematical and Statistical Psychology, 56, 127 143.
33. Thissen, D. (1991). MULTILOG: Multiple, categorical item analysis and test scoring using item response theory (Version 6.0) [Computer software and manual]. Mooresville, IN : Scientific Software.
34. Thissen, D., Pommerich, M., Billeaud, K., & Williams, V. (1995). Item response theory for scores on tests including polytomous items with ordered responses. Applied Psychological Measurement, 19, 39 49.
35. Wells, C. S. (2004). Investigation of model misfit in IRT and a new approach based on simultaneous parametric and nonparametric IRT estimation. Unpublished doctoral dissertation, University of Wisconsin-Madison.
36. Yen, W. M. (1981). Using simulation results to choose a latent trait model. Applied Psychological Measurement, 5, 245 262.