Discrepancy measures for item fit analysis in item response theory

References

• Albert , J. H. 1992 . Bayesian estimation of normal Ogive item response curves using Gibbs sampling . J. Educ. Stat. , 17 : 261 – 269 .
   Google Scholar
• Geman , S. and Geman , D. 1984 . Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images . IEEE Trans. Pattern Anal. Mach. Intell. , 6 : 721 – 741 .
   PubMed Web of Science ®Google Scholar
• Glas , C. A.W. and Meijer , R. R. 2003 . A Bayesian approach to person fit analysis in item response theory models . Appl. Psychol. Meas. , 27 : 217 – 233 .
   Web of Science ®Google Scholar
• Hendrawan , I. , Glas , C. A.W. and Meijer , R. R. 2005 . The effect of person misfit on classification decisions . Appl. Psychol. Meas. , 29 : 26 – 44 .
   Web of Science ®Google Scholar
• Sinharay , S. 2005 . Assessing fit of unidimensional item response theory models using a Bayesian approach . J. Educ. Meas. , 42 ( 4 ) : 375 – 394 .
   Web of Science ®Google Scholar
• Sinharay , S. 2006 . Bayesian item fit analysis for unidimensional item response theory models . Br. J. Math. Stat. Psychol. , 59 : 429 – 449 .
   PubMed Web of Science ®Google Scholar
• Guttman , I. 1967 . The use of the concept of a future observation in goodness-of-fit problems . J. R. Stat. Soc. B , 29 : 83 – 100 .
   Google Scholar
• Rubin , D. B. 1984 . Bayesianly justifiable and relevant frequency calculations for the applied statistician . Ann. Stat. , 12 : 1151 – 1172 .
   Web of Science ®Google Scholar
• Orlando , M. and Thissen , D. 2000 . Likelihood-based item-fit indices for dichotomous item response theory models . 24 : 50 – 64 .
   Google Scholar
• Wright , B. and Panchapakesan , N. 1969 . A procedure for sample-free item analysis . Educ. Psychol. Meas. , 29 : 23 – 48 .
   Web of Science ®Google Scholar
• Bock , R. D. 1972 . Estimating item parameters and latent ability when responses are scored in two or more nominal categories . Psychometrika , 37 : 29 – 51 .
   Web of Science ®Google Scholar
• Yen , W. 1981 . Using simulation results to choose a latent trait model . Appl. Psychol. Meas. , 5 : 245 – 262 .
   Web of Science ®Google Scholar
• McKinley , R. and Mills , C. A comparison of several goodness-of-fit statistics . Appl. Psychol. Meas. , 9 49 – 57 .
   Google Scholar
• Andersen , E. B. 1973 . A goodness of fit test for the Rasch model . Psychometrika , 38 : 123 – 140 .
   Web of Science ®Google Scholar
• Kelderman , H. 1984 . Loglinear Rasch model tests . Psychometrika , 49 : 223 – 245 .
   Web of Science ®Google Scholar
• Glas , C. A.W. 1988 . The derivation of some tests for the Rasch model from the multinomial distribution . Psychometrika , 53 : 525 – 546 .
   Web of Science ®Google Scholar
• Glas , C. A.W. 1999 . Modification indices for the 2-pl and the nominal response model . Psychometrika , 64 : 273 – 294 .
   Web of Science ®Google Scholar
• Glas , C. A.W. and Suarez-Falcon , J. C. 2003 . A comparison of item-fit statistics for the three-parameter logistic model . Appl. Psychol. Meas. , 27 : 87 – 106 .
   Web of Science ®Google Scholar
• Lord , F. M. and Wingersky , M. S. 1984 . Comparison of IRT true-score and equipercentile observed-score ‘equatings’ . Appl. Psychol. Meas. , 8 : 453 – 461 .
   Web of Science ®Google Scholar
• Thissen , D. , Pommerich , M. , Billeaud , K. and Williams , V. S.L. 1995 . Item response theory for scores on tests including polytomous items with ordered responses . Appl. Psychol. Meas. , 19 : 39 – 49 .
   Web of Science ®Google Scholar
• Hosmer , D. W. and Lemeshow , S. 1980 . Goodness-of-fit tests for the multiple logistic regression model . Commun. Stat.-Theory Methods , 10 : 1043 – 1069 .
   Web of Science ®Google Scholar
• Lord , F. M. 1952 . A Theory of Test Scores , New York : Psychometric Society .
   Google Scholar
• Gelfand , A. E. and Smith , A. F.M. 1990 . Sampling-based approaches to calculating marginal densities . J. Am. Stat. Assoc. , 85 : 398 – 409 .
   Web of Science ®Google Scholar
• Albert , J. H. and Johnson , V. E. 1999 . Ordinal Data Modeling , New York : Springer-Verlag .
   Google Scholar
• Hambleton , R. K. and Swaminathan , H. 1985 . Item Response Theory – Principles and Applications , Hingham, MA : Kluwer, Nijhoff .
   Google Scholar
• Box , G. E.P. 1980 . ‘Sampling and Bayes’ inference in scientific modelling and robustness . J. R. Stat. Soc. A , 143 : 383 – 430 .
   Web of Science ®Google Scholar
• Gelman , A. , Meng , X. L. and Stern , H. 1996 . Posterior predictive assessment of model fitness via realized discrepancies . Stat. Sin. , 6 : 733 – 807 .
   Web of Science ®Google Scholar