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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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