Testing Hypotheses About the Person-Response Function in Person-Fit Analysis


Emons, Wilco H.M. and Sijtsma, Klaas and Meijer, Rob R. (2004) Testing Hypotheses About the Person-Response Function in Person-Fit Analysis. Multivariate behavioral research, 39 (1). pp. 1-35. ISSN 0027-3171

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Abstract:The person-response function (PRF) relates the probability of an individual's correct answer to the difficulty of items measuring the same latent trait. Local deviations of the observed PRF from the expected PRF indicate person misfit. We discuss two new approaches to investigate person fit. The first approach uses kernel smoothing to estimate continuous PRF estimates. Graphical displays of PRFs were used to localize and diagnose misfit. The second approach approximates the PRF by a logistic regression model. Hypothesis tests on the regression parameters were used to detect certain types of misfit. A simulation study was conducted to investigate the Type I error rates and the detection rates of the regression approach.
Item Type:Article
Copyright:© 2004 Lawrence Erlbaum Associates
Faculty of Behavioural, Management and Social sciences (BMS)
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Link to this item:http://purl.utwente.nl/publications/58663
Official URL:https://doi.org/10.1207/s15327906mbr3901_1
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