A rasch model for continuous ratings

Abstract

latent trait, Rasch model, thresholds, rating scales, continuous responses, ceiling and floor effects, normal distribution,

pcIRT: An R Package for Polytomous and Continuous Rasch Models

“…At present, IRT comprises a great variety of models, but to date, relatively little attention has been paid to the scaling of nominal and continuous data. The R package pcIRT provides functions for estimating IRT models for polytomous (nominal) and continuous data -the multidimensional polytomous Rasch model (Rasch 1961) and the continuous rating scale model (Müller 1987). Both models are extensions of the dichotomous logistic Rasch model (Rasch 1980) and retain its key feature of the separability of structural and nuisance parameters.…”

Sample Size Determination Within the Scope of Conditional Maximum Likelihood Estimation with Special Focus on Testing the Rasch Model

“…It covers models for categorical and continuous responses. Examples of the latter are the Rasch model for continuous responses (Müller, 1987) and other models already suggested by Rasch (1960). An example referring to categorical responses is a class of models treated by Glas and Verhelst (1995b) and Draxler (2010) including, for example, the binary Rasch model, the partial credit model (Masters, 1982;Wilson & Masters, 1993), the rating scale model (Andrich, 1978), the one parameter logistic models (Verhelst & Glas, 1995;Verhelst, Glas, & Verstralen, 1994), and the multidimensional Rasch model (Andersen, 1977;Rasch, 1961).…”

Development of a Microsoft Excel tool for one-parameter Rasch model of continuous items: an application to a safety attitude survey

“…Many researchers have proposed IRT-based models of continuous item responses to deal with those multivariate behavioral research in real world [3–9], no one has provided user-friendly healthcare software for assessing, for example, pain intensity [10] or personality [4, 11]. We were, therefore, interested in developing a Microsoft Excel-based computer module that executes continuous observations similar to easily deal with binary and polytomous scores based on IRT modeling [12, 13].…”

“…Behar [11] applied the normal ogive (logistic curve) case of the continuous response model to items from a personality inventory. Muller [3] proposed a continuous rating scale model, based on Andrich’s [15] rating scale model (RSM) for categorical responses, which belongs to the Rasch family and so has the interesting specific objectivity property. Although Muller’s model is limited to an “integer” response format, observations can be presented for Rasch analysis in the form of a range of percentages (0–100) without decimal values.…”

“…IRT-based Rasch probabilistic modeling is a way to transform ordinal scores into interval Rasch measures [2, 3, 9, 12–16], but this type of transformation applies only to discretely ordered category scores. A computer module that is required to deal with continuous item responses (CIRs) that are often seen in healthcare settings.…”