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Non-parametric regression in clustered multistate current status data with informative cluster size.

Ling LanDipankar BandyopadhyaySomnath Datta
Published in: Statistica Neerlandica (2016)
Datasets examining periodontal disease records current (disease) status information of tooth-sites, whose stochastic behavior can be attributed to a multistate system with state occupation determined at a single inspection time. In addition, the tooth-sites remain clustered within a subject, and the number of available tooth-sites may be representative of the true PD status of that subject, leading to an 'informative cluster size' scenario. To provide insulation against incorrect model assumptions, we propose a nonparametric regression framework to estimate state occupation probabilities at a given time and state exit/entry distributions, utilizing weighted monotonic regression and smoothing techniques. We demonstrate the superior performance of our proposed weighted estimators over the un-weighted counterparts via. a simulation study, and illustrate the methodology using a dataset on periodontal disease.
Keyphrases
  • magnetic resonance
  • contrast enhanced
  • current status
  • network analysis
  • magnetic resonance imaging
  • healthcare
  • machine learning
  • big data
  • cross sectional
  • finite element
  • single cell