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Analysis of interval‐censored data from clustered multistate processes: application to joint damage in psoriatic arthritis

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  • Rinku Sutradhar
  • Richard J. Cook

Abstract

Summary. A conditionally Markov multiplicative intensity model is described for the analysis of clustered progressive multistate processes under intermittent observation. The model is motivated by a long‐term prospective study of patients with psoriatic arthritis with the aim of characterizing progression of joint damage via an irreversible four‐state model. The model accommodates heterogeneity in transition rates between different individuals and correlation in transition rates within patients. To do this we introduce subject‐specific multivariate random effects in which each component acts multiplicatively on a specific transition intensity. Through the association between the components of the random effect, correlations in transition intensities are accommodated. A Monte Carlo EM algorithm is developed for estimation, which features closed form expressions for estimators at each M‐step.

Suggested Citation

  • Rinku Sutradhar & Richard J. Cook, 2008. "Analysis of interval‐censored data from clustered multistate processes: application to joint damage in psoriatic arthritis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 57(5), pages 553-566, December.
    • Handle: RePEc:bla:jorssc:v:57:y:2008:i:5:p:553-566
    DOI: 10.1111/j.1467-9876.2008.00630.x
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    References listed on IDEAS

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    1. Glen A. Satten, 1999. "Estimating the Extent of Tracking in Interval-Censored Chain-Of-Events Data," Biometrics, The International Biometric Society, vol. 55(4), pages 1228-1231, December.
    2. Richard J. Cook, 1999. "A Mixed Model for Two-State Markov Processes Under Panel Observation," Biometrics, The International Biometric Society, vol. 55(3), pages 915-920, September.
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    Cited by:

    1. Daewoo Pak & Chenxi Li & David Todem & Woosung Sohn, 2017. "A multistate model for correlated interval-censored life history data in caries research," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 66(2), pages 413-423, February.
    2. Jialiang Li & Shuangge Ma, 2010. "Interval‐censored data with repeated measurements and a cured subgroup," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(4), pages 693-705, August.

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