Joint models of dynamics of mothers’ stress and children’s disease

Xiaoying Yu, Wenyaw Chan, Michael D. Swartz, Linda B. Piller

Research output: Contribution to journalArticlepeer-review


We propose two types of joint two-state continuous time Markov models using shared random effect(s). A simulation study is conducted to evaluate the performance of the parameter estimations under various scenarios and to compare each type of joint model approach to the separate model approach. The proposed method is applied to the Mothers’ Stress and Children’s Morbidity study. The concept of the transition odds ratio is introduced to illustrate the association between two continuous time Markov chains over time. We find that the proposed method is more efficient in estimating parameters of interest.

Original languageEnglish (US)
Pages (from-to)2775-2790
Number of pages16
JournalCommunications in Statistics: Simulation and Computation
Issue number9
StatePublished - Oct 21 2019
Externally publishedYes


  • Bivariate binary outcome
  • Continuous time Markov chain
  • Joint model
  • Longitudinal model

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation


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