Testing hypotheses about the person-response function in person-fit analysis

Multivariate Behavioral Research

Volumn 39, Issue 1, 2004, Pages 1-35

  Emons, Wilco H M ^a   Sijtsma, Klaas ^a   Meijer, Rob R ^b  

^a TILBURG UNIVERSITY   (Netherlands)

^b UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042777076     PISSN: 00273171     EISSN: None     Source Type: Journal    
DOI: 10.1207/s15327906mbr3901_1     Document Type: Article

References (54)

1. Agresti, A. (1990). Categorical data analysis. New York: Wiley.
2. Bleichrodt, N., Drenth, P. J. D., Zaal, J. N., & Resing, W. C. M. (1984). Revisie Amsterdamse kinder intelligence test (Revision of Amsterdam child intelligence test). Lisse: Swets & Zeitlinger.
3. Bowman, A. W. & Azzalini, A. (1997). Applied smoothing techniques for data analysis: The kernel approach with S-Plus illustrations. Oxford: Clarendon Press.
4. Cizek, G. J. (1999). Cheating on tests: How to do it, detect it, and prevent it. Mahwah, NJ: Erlbaum.
5. De Koning, E., Sijtsma, K., & Hamers, J. H. M. (2002). Comparison of four IRT models when analyzing two tests for inductive reasoning. Applied Psychological Measurement, 26, 302-320.
6. Douglas, J. & Cohen, A. (2001). Nonparametric function estimation for assessing parametric model fit. Applied Psychological Measurement, 25, 234-243.
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. Efron, B., & Tibshirani, R. J. (1993). An introduction to the bootstrap. New York: Chapman & Hall.
9. Emons, W. H. M. (2003). Investigating the local fit of item-score vectors. In H. Yanai, A. Okada, K. Shigemasu, Y. Kano, & J. J. Meulman (Eds.), New developments in psychometrics (pp. 289-296). Tokyo: Springer.
10. Emons, W. H. M., Meijer, R. R., & Sijtsma, K. (2002). Comparing simulated and theoretical sampling distributions of the U3 person-fit statistic. Applied Psychological Measurement, 26, 88-108.
11. Emons, W. H. M., Sijtsma, K., & Meijer, R. R. (2002). Global, local, and graphical person-fit analysis using person response functions. Manuscript submitted for publication.
12. Fox, J. (1997). Applied regression analysis, linear models, and related methods. Thousand Oaks, CA: Sage.
13. Grayson, D. A. (1988). Two-group classification in latent trait theory: Scores with monotone likelihood ratio. Psychometrika, 53, 383-392.
14. Habing, B. (2001). Nonparametric regression and the parametric bootstrap for local dependence assessment. Applied Psychological Measurement, 25, 221-233.
15. Haladyna, T. M. (1994). Developing and validating multiple-choice test items. Mahwah, NJ: Erlbaum.
16. Hambleton, R. K. & Swaminathan, H. (1985). Item response theory: Principles and applications. Boston, MA: Kluwer-Nijhoff.
17. Harnisch, D. L. & Linn, R. L. (1981). Analysis of item response patterns: Questionable test data and dissimilar curriculum practices. Journal of Educational Measurement, 18, 133-146.
18. Hart, J. D. (1997). Nonparametric smooching and lack-of-fit tests. New York: Springer Verlag.
19. Hemker, B. T., Sijtsma, K., Molenaar, I. W., & Junker, B. W. (1997). Stochastic ordering using the latent trait and the sum score in polytomous IRT models. Psychometrika, 62, 331-347.
20. Junker, B. W. & Sijtsma, K. (2001). Nonparametric item reponse theory in action: An overview of the special issue. Applied Psychological Measurement, 25, 211-220.
21. Klauer, K. C. (1991). An exact and optimal standardized person fit test for assessing consistency with the Rasch model. Psychometrika, 56, 213-228.
22. Lumsden, J. (1978). Tests are perfectly reliable. British Journal of Mathematical and Statistical Psychology, 31, 19-26.
23. McCullagh, P. (1980). Regression models for ordinal data. Journal of the Royal Statistical Society (B), 42, 109-142.
24. Meijer, R. R. (1994a). Nonparametric person fit analysis. Unpublished doctoral dissertation, Vrije Universiteit, Amsterdam, The Netherlands.
25. Meijer, R. R. (1994b). The number of Guttman errors as a simple and powerful person-fit statistic. Applied Psychological Measurement, 18, 311-314.
26. Meijer, R. R. (1997). Person fit and criterion-related validity: An extension of the Schmitt, Cortina, and Whitney study. Applied Psychological Measurement, 21, 99-113.
27. Meijer, R. R. (2003). Diagnosing item score patterns on a test using IRT based person-fit statistics. Psychological Methods, 8, 72-87.
28. Meijer, R. R., Molenaar, I. W., & Sijtsma, K. (1994). Influence of test and person characteristics on nonparametric appropriateness measurement. Applied Psychological Measurement, 18, 111-120.
29. Meijer, R. R. & Sijtsma, K. (2001). Methodology review: Evaluating person fit. Applied Psychological Measurement, 25, 107-135.
30. Mokken, R. J. (1971). A theory and procedure of scale analysis. New York/Berlin: DeGruyter.
31. Mokken, R. J. & Lewis, C. (1982). A nonparametric approach to the analysis of dichotomous item responses. Applied Psychological Measurement, 6, 417-430.
32. Molenaar, I. W. & Sijtsma, K. (2000). MSP5 for windows. User's manual. Groningen, The Netherlands: ProGAMMA.
33. z person-fit statistic. Applied Psychological Measurement, 22, 53-69.
34. Ramsay, J. O. (1991). Kernel smoothing approaches to nonparametric item characteristic curve estimation. Psychometrika, 56, 611-630.
35. Ramsay, J. O. (2000). TestGraf. A program for the graphical analysis of multiple choice test and questionnaire data [Computer program]. Montreal, Canada: Department of Psychology, McGill University.
36. Ramsay, J. O. & Silverman, B. W. (1997). Functional data analysis. New York: Springer.
37. Rasch, G. (1960). Probabilistic models for some intelligence and attainment tests. Copenhagen: Danish Institute for Educational Research.
38. Reise, S. P. (2000). Using multilevel logistic regression to evaluate person-fit in IRT models. Multivariate Behavioral Research, 35, 543-568.
39. Rosenbaum, P. R. (1987a). Probability inequalities for latent scales. British Journal of Mathematical and Statistical Psychology, 40, 157-168.
40. Rosenbaum, P. R. (1987b). Comparing item characteristic curves. Psychometrika, 52, 217-233.
41. Sijtsma, K. (1998). Methodology review: Nonparametric IRT approaches to the analysis of dichotomous item scores. Applied Psychological Measurement, 22, 3-31.
42. Sijtsma, K. & Junker, B. W. (1996). A survey of theory and methods of invariant item ordering. British Journal of Mathematical and Statistical Psychology, 49, 79-105.
43. Sijtsma, K. & Meijer, R. R. (2001). The person response function as a tool in person-fit research. Psychometrika, 66, 191-208.
44. Sijtsma, K. & Molenaar, I. W. (2002). Introduction to nonparametric item response theory. Thousand Oaks, CA: Sage.
45. Simonoff, J. S. (1996). Smoothing methods in statistics. New York: Springer-Verlag.
46. Sotaridona, L. S. & Meijer, R. R. (2002). Statistical properties of the K-index for detecting answer copying. Journal of Educational Measurement, 39, 115-132.
47. Strandmark, N. L. & Linn, R. L. (1987). A generalized logistic item response model parameterizing test score inappropriateness. Applied Psychological Measurement, 11, 355-370.
48. Trabin, T. E. & Weiss, D. J. (1983). The person response curve: Fit of individuals to item response theory models. In D. J. Weiss (Ed.), New horizons in testing (pp. 83-108). New York: Academic Press.
49. Van den Brink, W. P. (1977). Het verken-effect [The scouting effect]. Tijdschrift voor onderwijsresearch, 2, 253-261.
50. Van der Flier, H. (1980). Vergelijkbaarheid van individuele testprestaties (Comparability of individual test performance). Lisse: Swets & Zeitlinger.
51. Van der Flier, H. (1982). Deviant response patterns and comparability of test scores. Journal of Cross-Cultural Psychology, 13, 267-298.
52. Vermunt, J. (1997). ℓEM. A general program for the analysis of categorical data [Computer program]. Tilburg, The Netherlands: Tilburg University.
53. Verweij, A. C., Sijtsma, K., & Koops, W. (1996). A Mokken scale for transitive reasoning suited for longitudinal research. International Journal of Behavioral Development, 19, 219-238.
54. Wollack, J. A. & Cohen, A. S. (1998). Detection of answer copying with unknown item and trait parameters. Applied Psychological Measurement, 21, 307-320.