The Rasch Rating Model and the Disordered Threshold Controversy

Educational and Psychological Measurement

Volumn 72, Issue 4, 2012, Pages 547-573

  Adams, Raymond J ^a   Wu, Margaret L ^b   Wilson, Mark ^c  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b VICTORIA UNIVERSITY   (Australia)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

partial credit model; Rasch model; Rasch rating model

Indexed keywords

EID: 84863586846     PISSN: 00131644     EISSN: 15523888     Source Type: Journal    
DOI: 10.1177/0013164411432166     Document Type: Article

References (30)

1. AdamsR. J. (1989). Estimating measurement error (Unpublished doctoral dissertation). University of Chicago.
2. Agresti A.Categorical data analysis. New York, NY: John Wiley; 1990:.
3. Andersen E. B.Conditional inference for multiple choice questionnaires.British Journal of Mathematical and Statistical Psychology. 1973;26:31-44.
4. Andersen E. B.Sufficient statistics and latent trait models.Psychometrika. 1977;42:69-78.
5. Andrich D.A rating formulation for ordered response categories.Psychometrika. 1978;43:561-573.
6. Andrich D.Applied Rasch measurement: A book of exemplars. Alagumalai S.Durtis D. D.Hungi N., ed. Berlin, Germany: Springer-Kluwer; 2005:308-328.
7. Andrich D.,Sheridan B.,Luo G.RUMM2020: A Windows program for the Rasch unidimensional measurement model. Perth, Australia: RUMM Laboratory; 2003:.
8. Fischer G. H.Rasch models: Foundations, recent developments and applications. Fischer G. H.Molenaar I. W., ed. New York, NY: Springer Verlag; 1995:292-305.
9. Hunyh H.On equivalence between a partial credit items and a set of independent Rasch binary items.Psychometrika. 1994;59:111-119.
10. Hunyh H.Decomposition of Rasch partial credit item into independent binary and indecomposable trinary items.Psychometrika. 1996;61:31-39.
11. Linacre J. M.Step disordering and Thurstone thresholds.Rasch Measurement Transactions. 1991;5:171.
12. MastersG. N. (1980). A Rasch model for rating scales (Unpublished doctoral dissertation). University of Chicago.
13. Masters G. N.A Rasch model for partial credit scoring.Psychometrika. 1982;47:149-174.
14. Molenaar I. W.Item steps. Groningen, Germany: University of Groningen; 1983:.
15. Muthén L. K.,Muthén B. O.Mplus user's guide. 2006). Mplus user's guide [Computer software and manual] (4th ed.). Los Angeles, CA: Muthén & Muthén.Los Angeles, CA: Muthén & Muthén; 2006:.
16. Nijsten T.,Sampogna F.,Chren M.,Abeni D.Testing and reducing Skindex-29 using Rasch analysis: Skindex-17.Journal of Investigative Dermatology. 2006;126:1244-1250.
17. Nilsson A. L.,Sunnerhagen K. S.,Grimby G.Scoring alternatives for FIM in neurological disorders applying Rasch analysis.Acta Neurologica Scandinavica. 2007;111:264-273.
18. Rasch G.On general laws and the meaning of measurement models in psychology. Proceedings of the IV Berkeley Symposium on Mathematical Statistics and Probability; 1961; 321-333.
19. Samejima F.Estimation of latent ability using a response pattern of graded scores.Psychometrika Monographs, 34. 1969;:386-415.
20. Thurstone L. L.Attitudes can be measured.American Journal of Sociology. 1928;33:529-554.
21. TIMSS. (2003). TIMSS 2003 Released items. Retrieved from http://timss.bc.edu/timss2003i/released.html.
22. Verhelst N. D.,Glas C. A. W.,De Vries H. H.Handbook of modern item response theory. Van der Linden W. J.Hambleton R. K., ed. New York, NY: Springer-Verlag; 1997:123-138.
23. Verhelst N. D.,Verstralen H. H. F. M.Modeling sums of binary items by the partial credit model. Arnhem, Netherlands: Cito; 1997:.
24. Wilson M.The ordered partition model: An extension of the partial credit model.Applied Psychological Measurement. 1992;16:309-325.
25. Wilson M. R.,Adams R. J.Marginal maximum likelihood estimation for the ordered partition model.Journal of Educational Statistics. 1993;18:69-90.
26. Wilson M. R.,Adams R. J.Rasch models for item bundles.Psychometrika. 1995;60:181-198.
27. Wu M. L.,Adams R. J.,Wilson M. R.ConQuest: Multi-Aspect Test Software. Camberwell, Australia: Australian Council for Educational Research; 1997:.
28. Zhu W.A confirmatory study of Rasch-based optimal categorization of a rating scale.Journal of Applied Measurement. 2002;3:1-15.
29. Zhu W.,Timm G.,Ainsworth B. A.Rasch calibration and optimal categorization of an instrument measuring women's exercise perseverance and barriers.Research Quarterly for Exercise and Sport. 2001;72:104-116.
30. Zhu W.,Updyke W. F.,Lewandowski C.Post-hoc Rasch analysis of optimal categorization of an ordered-response scale.Journal of Outcome Measurement. 1997;1:286-304.