Reducing Measurement Error in Student Achievement Estimation |
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Authors: | Michela Battauz Ruggero Bellio Enrico Gori |
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Institution: | (1) Department of Statistics, University of Udine, Via Treppo 18, 33100 Udine, Italy |
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Abstract: | The achievement level is a variable measured with error, that can be estimated by means of the Rasch model. Teacher grades
also measure the achievement level but they are expressed on a different scale. This paper proposes a method for combining
these two scores to obtain a synthetic measure of the achievement level based on the theory developed for regression with
covariate measurement error. In particular, the focus is on ordinal scaled grades, using the SIMEX method for measurement
error correction. The result is a measure comparable across subjects with smaller measurement error variance. An empirical
application illustrates the method. |
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Keywords: | maximum likelihood estimation measurement error Rasch model teacher grade SIMEX |
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