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Conditional dependence diagnostic in the latent class model: A simulation study

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  • Subtil, Ana
  • de Oliveira, M. Rosário
  • Gonçalves, Luzia

Abstract

The classical latent class model assumes the hypothesis of conditional independence. We explore tools commonly used to validate this hypothesis (correlation residual plot, log-odds ratio check plot, and known goodness of fit tests) to make practitioners aware of these tools’ shortcomings in correctly identifying local dependence.

Suggested Citation

  • Subtil, Ana & de Oliveira, M. Rosário & Gonçalves, Luzia, 2012. "Conditional dependence diagnostic in the latent class model: A simulation study," Statistics & Probability Letters, Elsevier, vol. 82(7), pages 1407-1412.
    • Handle: RePEc:eee:stapro:v:82:y:2012:i:7:p:1407-1412
    DOI: 10.1016/j.spl.2012.03.030
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    References listed on IDEAS

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    1. Formann, Anton K., 2003. "Latent class model diagnostics--a review and some proposals," Computational Statistics & Data Analysis, Elsevier, vol. 41(3-4), pages 549-559, January.
    2. Elizabeth S. Garrett & Scott L. Zeger, 2000. "Latent Class Model Diagnosis," Biometrics, The International Biometric Society, vol. 56(4), pages 1055-1067, December.
    3. Broniatowski, Michel & Keziou, Amor, 2009. "Parametric estimation and tests through divergences and the duality technique," Journal of Multivariate Analysis, Elsevier, vol. 100(1), pages 16-36, January.
    4. Paul S. Albert & Lori E. Dodd, 2004. "A Cautionary Note on the Robustness of Latent Class Models for Estimating Diagnostic Error without a Gold Standard," Biometrics, The International Biometric Society, vol. 60(2), pages 427-435, June.
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    Cited by:

    1. Huiping Xu & Xiaochun Li & Zuoyi Zhang & Shaun Grannis, 2022. "Score test for assessing the conditional dependence in latent class models and its application to record linkage," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 71(5), pages 1663-1687, November.

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