Person Parameter Estimation and Measurement in Rasch Models

Svend Kreiner · Karl Bang Christensen

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Psychometric Methodologies and Testing Psychological Testing and Assessment Educational Assessment and Pedagogy

Abstract

During analysis by Rasch models, estimates of person parameters are regarded as measures of unobservable latent traits, and the bias and standard errors of the estimates are regarded as measurement bias and standard error of measurement (SEM). This chapter describes person parameter estimation in dichotomous and polytomous Rasch models. It illustrates the maximum likelihood estimate (MLE) and the weighted maximum likelihood estimate (WMLE) using the data set from the disinhibited eating (DE) subscale of the Diabetes Health Profile (DHP) inventory. The chapter explains how to assess the quality of measurement provided by Rasch model items from a population point of view.

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References

1951Coefficient Alpha and the Internal Structure of Tests 1969Statistical Theories of Mental Test Scores 1989Weighted Likelihood Estimation of Ability in Item Response Theory 1983Rating Scale Analysis: Rasch Measurement 1995Rasch models: foundations, recent developments and applications 2001Precision of Warm’s Weighted Likelihood Estimates for a Polytomous Model in Computerized Adaptive Testing

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