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Residual diagnostics for interpreting CUB models

  • Francesca Di Iorio

    (Department of Theory and Methods of Human and Social Sciences, Statistical Sciences Section, University of Naples Federico II - Italy)

  • Maria Iannario

    (Department of Theory and Methods of Human and Social Sciences, Statistical Sciences Section, University of Naples Federico II - Italy)

CUB models represent a new approach for the analysis of categorical ordinal data. The relevant domain of study is the specification and estimation of the behaviour of respondents when faced to ratings by analysing the relationship among ordinal scores and observed covariates. The increasing use of such models suggests to delve into the issue of appropriate residuals to be used for diagnostic purposes. In fact, the discreteness of the response variable discourages the use of standard regression paradigms. In this context, we propose the extension and implementation of a specific graphical methodology, known as binned residual plots, in order to check the adequacy of fitted CUB models and/or infer about improvements of the maintained model. Such proposals have been exemplified through the analysis of real data.

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Article provided by Department of Statistics, University of Bologna in its journal STATISTICA.

Volume (Year): 72 (2012)
Issue (Month): 2 ()
Pages: 163-172

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Handle: RePEc:bot:rivsta:v:72:y:2012:i:2:p:163-172
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