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A Bayesian approach for misclassified ordinal response data

Author

Listed:
  • Lizbeth Naranjo
  • Carlos J. Pérez
  • Jacinto Martín
  • Timothy Mutsvari
  • Emmanuel Lesaffre

Abstract

Motivated by a longitudinal oral health study, the Signal-Tandmobiel® study, a Bayesian approach has been developed to model misclassified ordinal response data. Two regression models have been considered to incorporate misclassification in the categorical response. Specifically, probit and logit models have been developed. The computational difficulties have been avoided by using data augmentation. This idea is exploited to derive efficient Markov chain Monte Carlo methods. Although the method is proposed for ordered categories, it can also be implemented for unordered ones in a simple way. The model performance is shown through a simulation-based example and the analysis of the motivating study.

Suggested Citation

  • Lizbeth Naranjo & Carlos J. Pérez & Jacinto Martín & Timothy Mutsvari & Emmanuel Lesaffre, 2019. "A Bayesian approach for misclassified ordinal response data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 46(12), pages 2198-2215, September.
    • Handle: RePEc:taf:japsta:v:46:y:2019:i:12:p:2198-2215
    DOI: 10.1080/02664763.2019.1582613
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    Cited by:

    1. Lizbeth Naranjo & Luz Judith R. Esparza & Carlos J. Pérez, 2020. "A Hidden Markov Model to Address Measurement Errors in Ordinal Response Scale and Non-Decreasing Process," Mathematics, MDPI, vol. 8(4), pages 1-12, April.

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