Inference for cumulative incidence functions with informatively coarsened discrete event-time data

Michelle Shardell, Daniel Scharfstein, David Vlahov, Noya Galai

Research output: Contribution to journalArticlepeer-review


We consider the problem of comparing cumulative incidence functions of non-mortality events in the presence of informative coarsening and the competing risk of death.We extend frequentist-based hypothesis tests previously developed for non-informative coarsening and propose a novel Bayesian method based on comparing a posterior parameter transformation with its expected distribution under the null hypothesis of equal cumulative incidence functions. Both methods use estimates derived by extending previously published estimation procedures to accommodate censoring by death. The data structure and analysis goal are exemplified by the AIDS Link to the Intravenous Experience (ALIVE) study, where researchers are interested in comparing incidence of human immunodeficiency virus seroconversion by risk behavior categories. Coarsening in the forms of interval and right censoring and censoring by death in ALIVE is thought to be informative; thus, we perform a sensitivity analysis by incorporating elicited expert information about the relationship between seroconversion and censoring into the model.

Original languageEnglish
Pages (from-to)5861-5879
Number of pages19
JournalStatistics in Medicine
Issue number28
StatePublished - Dec 2008
Externally publishedYes


  • Bayesian analysis
  • Frequentist analysis
  • Hypothesis test
  • Interval censoring
  • Markov chain monte carlo
  • Sensitivity analysis

ASJC Scopus subject areas

  • Epidemiology
  • Statistics and Probability


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