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A Rating Formulation for Ordered Response Categories
Abstract
A rating response mechanism for ordered categories, which is related to the traditional threshold formulation but distinctively different from it, is formulated. In addition to the subject and item parameters two other sets of parameters, which can be interpreted in terms of thresholds on a latent continuum and discriminations at the thresholds, are obtained. These parameters are identified with the category coefficients and the scoring function of the Rasch model for polychotomous responses in which the latent trait is assumed uni-dimensional. In the case where the threshold discriminations are equal, the scoring of successive categories by the familiar assignment of successive integers is justified. In the case where distances between thresholds are also equal, a simple pattern of category coefficients is shown to follow.
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Cited by
brms : An R Package for Bayesian Multilevel Models Using Stan
Bürkner, P.-C. (2017) · Journal of Statistical Software · doi:10.18637/jss.v080.i01 · Cited by 9,476
“Using threshold = "equidistant" forces the distance between two adjacent thresholds to be the same, that is for thresholds τ k and distance δ (see also Andrich 1978a; Andrich 1978b; Andersen 1977).”
BackgroundA Rasch model for partial credit scoring
Masters, G. N. (1982) · Psychometrika · doi:10.1007/bf02296272 · Cited by 3,782
Hibbard, J. H., Stockard, J., Mahoney, E. R., & Tusler, M. (2004) · Health Services Research · doi:10.1111/j.1475-6773.2004.00269.x · Cited by 2,748
Stewart-Brown, S., Tennant, A., Tennant, R., Platt, S., Parkinson, J., & Weich, S. (2009) · Health and Quality of Life Outcomes · doi:10.1186/1477-7525-7-15 · Cited by 1,251
(2011) · Amsterdam UMC (VU Amsterdam) - Institutional Repository · Cited by 1,209
Metadata
- Authors
- Andrich, D.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1978-12
- Volume
- 43
- Issue
- 4
- Pages
- 561-573
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2051039162
- Cited by
- 2,970
- References
- 0
- FWCI
- 5.62
- Type
- journal article
- Language
- en
- Open access
- closed
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