Bayesian modification indices for IRT models

Statistica Neerlandica

Volumn 59, Issue 1, 2005, Pages 95-106

  Fox, Jean Paul ^a   Glas, Cees A W ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Bayesian modification indices; Item response models; Markov chain Monte Carlo

Indexed keywords

EID: 15544366713     PISSN: 00390402     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1467-9574.2005.00282.x     Document Type: Article

References (30)

1. AITCHISON, J. and D. S. SILVEY (1958), Maximum likelihood estimation of parameters subject to restraints, Annals of Mathematical Statistics 29, 813-828.
2. ALBERT, J. (1992), Bayesian estimation of normal ogive item response curves using Gibbs sampling, Journal of Educational Statistics 17, 251-269.
3. BAYARRI, M. J. and J. O. BERGER (1999), Quantifying suprise in the data and model verification, in: J. M. BERNARDO, J. O. BERGER, A. P. DAWID and A. F. M. SMITH (eds), Bayesian statistics 6, 53-82, Oxford University Press, London.
4. BAYARRI, M. J. and J. O. BERGER (2000), P values for composite null models, Journal of the American Statistical Association 95, 1127-1142.
5. BERNARDO, J. M. and A. F. M. SMITH (1994), Bayesian theory, John Wiley & Sons, New York.
6. BÉGUIN, A. A. and C. A. W. GLAS (2001), MCMC estimation of multidimensional IRT models, Psychometrika 66, 541-561.
7. Box, G. E. P. and G. C. TIAO (1973), Bayesian inference in statistical analysis, Addison-Wesley, Reading, MA.
8. BRADLOW, E. T., H. WAINER and X. WANG (1999), A Bayesian random effects model for testlets, Psychometrika 64, 153-168.
9. CAMILLI, G. and L. A. SHEPARD (1994), Methods for identifying biased test items. Thousand Oaks, Sage, CA.
10. Fox, J.-P. and C. A. W. GLAS (2001), Bayesian estimation of a multilevel IRT model using Gibbs sampling, Psychometrika 66, 269-286.
11. Fox, J.-P. and C. A. W. GLAS (2003), Bayesian modeling of measurement error in predictor variables using item response theory, Psychometrika 68, 169-191.
12. GELMAN, A., J. B. CARLIN, H. S. STERN and D. B. RUBIN (1995), Bayesian data analysis, Chapman & Hall, London.
13. GLAS, C. A. W. (1998), Detection of differential item functioning using Lagrange multiplier tests, Statistica Sinica 8, 647-667.
14. GLAS, C. A. W. (1999), Modification indices for the 2-pl and the nominal response model, Psychometrika 64, 273-294.
15. HAMBLETON, R. K. and H. J. RODGERS (1989), Detecting potentially biased test items: comparison of IRT area and Mantel-Haenszel methods, Applied Measurement in Education 2, 313-334.
16. HELD, L. (2004), Simultaneous posterior probability statements from Monte Carlo output, Journal of Computational and Graphical Statistics 13, 20-35.
17. HOLLAND, P. W. and H. WAINER (1993), Differential item functioning, Erlbaum, Hillsdale, NJ.
18. HOLLAND, P. W. and D. T. THAYER (1988), Differential item functioning and the Mantel-Haenszel procedure, in: H. WAINER and H. I. BRAUN (eds). Test validity, Lawrence Erlbaum Associates Inc, Hillsdale, NJ.
19. KELDERMAN, H. (1984), Loglinear RM tests, Psychometrika 49, 223-245.
20. KELDERMAN, H. (1989), Item bias detection using loglinear IRT, Psychometrika 54, 681-697.
21. LINDLEY, D. V. (1965), Introduction to probability and statistics from a Bayesian viewpoint (2 vols - Part I: Probability and Part II: Inference), Cambridge University Press, Cambridge.
22. LORD, F. M. and M. R. NOVICK (1968), Statistical theories of mental test scores, Addison-Wesley, Reading, MA.
23. MELLENBERGH, G. J. (1982), Contingency table models for assessing item bias, Journal of Educational Statistics 1, 105-118.
24. MELLENBERGH, G. J. (1983), Conditional item bias methods, in: S. H. IRVINE and W. J. BERRY (eds). Human assessment and cultural factors, Plenum Press, New York.
25. MENG, X. L. (1994), Posterior predictive p-values, The Annals of Statistics 22, 1142-1160.
26. MURAKI, E. and R. D. BOCK (1991), PARSCALE: Parameter scaling of rating data [computer program], Scientific Software, Inc., Chicago, IL.
27. 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.
28. SEARLE, S. R. (1971), Linear models, Wiley, New York.
29. SWAMINATHAN, H. and H. J. RODGERS (1990), Detecting differential item functioning using logistic regression procedures, Journal of Educational Measurement 27, 361-370.
30. ZELLNER, A. (1971), An introduction to Bayesian inference in econometrics, Addison-Wesley, Reading, MA.