A rasch model for continuous ratings |
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Authors: | Hans Müller |
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Affiliation: | (1) Institut für Psychologie, Johann Wolfgang Goethe-Universität, Mertonstr. 17, D-6000 Frankfurt am Main 11, Federal Republic of Germany |
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Abstract: | A unidimensional latent trait model for continuous ratings is developed. This model is an extension of Andrich's rating formulation which assumes that the response process at latent thresholds is governed by the dichotomous Rasch model. Item characteristic functions and information functions are used to illustrate that the model takes ceiling and floor effects into account. Both the dichotomous Rasch model and a linear model with normally distributed error can be derived as limiting cases. The separability of the structural and incidental parameters is demonstrated and a procedure for estimating the parameters is outlined. |
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Keywords: | latent trait Rasch model thresholds rating scales continuous responses ceiling and floor effects normal distribution |
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