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Mixtures of factor analyzers with covariates for modeling multiply censored dependent variables

Author

Listed:
  • Wan-Lun Wang

    (Feng Chia University)

  • Luis M. Castro

    (Pontificia Universidad Católica de Chile
    Millennium Nucleus Center for the Discovery of Structures in Complex Data
    Pontificia Universidad Católica de Chile)

  • Wan-Chen Hsieh

    (National Chung Hsing University)

  • Tsung-I Lin

    (National Chung Hsing University
    China Medical University)

Abstract

Censored data arise frequently in diverse applications in which observations to be measured may be subject to some upper and lower detection limits due to the restriction of experimental apparatus such that they are not exactly quantifiable. Mixtures of factor analyzers with censored data (MFAC) have been recently proposed for model-based density estimation and clustering of high-dimensional data in the presence of censored observations. In this paper, we consider an extended version of MFAC by considering regression equations to describe the relationship between covariates and multiply censored dependent variables. Two analytically feasible EM-type algorithms are developed for computing maximum likelihood estimates of model parameters with closed-form expressions. Moreover, we provide an information-based method to compute asymptotic standard errors of mixing proportions and regression coefficients. The utility and performance of our proposed methodology are illustrated through a simulation study and two real data examples.

Suggested Citation

  • Wan-Lun Wang & Luis M. Castro & Wan-Chen Hsieh & Tsung-I Lin, 2021. "Mixtures of factor analyzers with covariates for modeling multiply censored dependent variables," Statistical Papers, Springer, vol. 62(5), pages 2119-2145, October.
    • Handle: RePEc:spr:stpapr:v:62:y:2021:i:5:d:10.1007_s00362-020-01177-1
    DOI: 10.1007/s00362-020-01177-1
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    References listed on IDEAS

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    Cited by:

    1. Wan-Lun Wang & Tsung-I Lin, 2023. "Model-based clustering via mixtures of unrestricted skew normal factor analyzers with complete and incomplete data," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 32(3), pages 787-817, September.

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