The Rasch model, named after Georg Rasch, is a psychometric model for analyzing categorical data, such as answers to questions on a reading assessment or questionnaire responses, as a function of the trade-off between the respondent's abilities, attitudes, or personality traits, and the item difficulty.[1][2] For example, they may be used to estimate a student's reading ability or the extremity of a person's attitude to capital punishment from responses on a questionnaire. In addition to psychometrics and educational research, the Rasch model and its extensions are used in other areas, including the health profession,[3] agriculture,[4] and market research.[5][6]
The mathematical theory underlying Rasch models is a special case of item response theory. However, there are important differences in the interpretation of the model parameters and its philosophical implications[7] that separate proponents of the Rasch model from the item response modeling tradition. A central aspect of this divide relates to the role of specific objectivity,[8] a defining property of the Rasch model according to Georg Rasch, as a requirement for successful measurement.
^Rasch, G. (1980) [1960]. Probabilistic models for some intelligence and attainment tests. Foreword and afterword by B.D. Wright (Expanded ed.). Chicago: The University of Chicago Press.
^Istiqomah, Istiqomah; Hasanati, Nida (2022-10-27). "Development of Student Academic Performance Determinants Using Rasch Model Analysis". Psympathic: Jurnal Ilmiah Psikologi. 9 (1): 17–30. doi:10.15575/psy.v9i1.7571. ISSN 2502-2903. S2CID 253200678.
^Bezruczko, N. (2005). Rasch measurement in health sciences. Maple Grove: Jam Press.
^Moral, F. J.; Rebollo, F. J. (2017). "Characterization of soil fertility using the Rasch model". Journal of Soil Science and Plant Nutrition (ahead). Springer Science and Business Media LLC: 0. doi:10.4067/s0718-95162017005000035. ISSN 0718-9516.
^Bechtel, Gordon G. (1985). "Generalizing the Rasch Model for Consumer Rating Scales". Marketing Science. 4 (1). Institute for Operations Research and the Management Sciences (INFORMS): 62–73. doi:10.1287/mksc.4.1.62. ISSN 0732-2399.
^Wright, B. D. (1977). Solving measurement problems with the Rasch model. Journal of Educational Measurement, 14(2), 97-116.
^Linacre J.M. (2005). Rasch dichotomous model vs. One-parameter Logistic Model. Rasch Measurement Transactions, 19:3, 1032
^Rasch, G. (1977). On Specific Objectivity: An attempt at formalizing the request for generality and validity of scientific statements. The Danish Yearbook of Philosophy, 14, 58-93.
The Raschmodel, named after Georg Rasch, is a psychometric model for analyzing categorical data, such as answers to questions on a reading assessment...
The polytomous Raschmodel is generalization of the dichotomous Raschmodel. It is a measurement model that has potential application in any context in...
applying the polytomous Raschmodel, when data can be obtained that fit this model. In addition, the polytomous Raschmodel permits testing of the hypothesis...
normal-ogive model is no more computationally demanding than logistic models. The Raschmodel is often considered to be the 1PL IRT model. However, proponents...
latent variable models can be grouped according to whether the manifest and latent variables are categorical or continuous: The Raschmodel represents the...
psychometrician, most famous for the development of a class of measurement models known as Raschmodels. He studied with R.A. Fisher and also briefly with Ragnar Frisch...
Estimation of a Raschmodel is used to estimate the parameters of the Raschmodel. Various techniques are employed to estimate the parameters from matrices...
Baronets RaschmodelRaschmodel estimation Polytomous Raschmodel Rasche Raiche (disambiguation) Dictionary of American Family Names. "Rasch Family History"...
binary entropy function. The logit is also central to the probabilistic Raschmodel for measurement, which has applications in psychological and educational...
features, is represented by the Raschmodel for measurement. The development of the Raschmodel, and the broader class of models to which it belongs, was explicitly...
developed methodologies include Choice Modelling or Maximum Difference methods, the latter being related to the Raschmodel due to the connection between Thurstone's...
application of the logistic function is in the Raschmodel, used in item response theory. In particular, the Raschmodel forms a basis for maximum likelihood estimation...
the ordering of total scores and the ordering of scale locations. The Raschmodel provides a strict correspondence provided all students attempt the same...
contributions to item response theory (Raschmodels), latent class analysis, the measurement of change, mixture models, categorical data analysis, and quantitative...
theorem Rao-Blackwellisation – see Rao–Blackwell theorem Raschmodel Polytomous RaschmodelRaschmodel estimation Ratio distribution Ratio estimator Rational...
application of the Raschmodel or unfolding models such as the Hyperbolic Cosine Model (HCM) (Andrich & Luo, 1993). The Raschmodel has a close conceptual...
the Raschmodel is a simple logistic function. Thurstone anticipated a key epistemological requirement of measurement later articulated by Rasch, which...
The theoretical basis for the model is closely related to item response theory and the theory underlying the Raschmodel, which are used in psychology...
analysis varies depending on the psychometric model. For example, classical test theory or the Raschmodel call for different procedures. In all cases,...
features is autopsych for conducting Classical Test Theory (CTT) and Raschmodelling. CTT functions include percentage correct, observed scores for each...
responsible for the widespread adoption of Georg Rasch's measurement principles and models. In the wake of what Rasch referred to as Wright's “almost unbelievable...
nature. In contrast, probabilistic measurement models known as the Raschmodel and Item response theory models are generally employed in the social sciences...
to a common scale on the basis of the Raschmodel. This was the first time that UCLES had used the Raschmodel, which now forms the cornerstone of the...
processes and on application and advancement of Item response theory models (Raschmodel). He is also known as a textbook author of psychological assessment...
observation-with-error or from application of a measurement model, such as the Raschmodel. Also, let β ^ = β + ϵ β , θ ^ = θ + ϵ θ , {\displaystyle {\hat...
(2008), whose alternative account of redintegration uses constrained Raschmodel to portray trace degradation as a continuous process. In immediate recall...