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A semiparametric linear transformation model to estimate causal effects for survival data.

Huazhen LinYi LiLiang JiangGang Li
Published in: The Canadian journal of statistics = Revue canadienne de statistique (2013)
Semiparametric linear transformation models serve as useful alternatives to the Cox proportional hazard model. In this study, we use the semiparametric linear transformation model to analyze survival data with selective compliance. We estimate regression parameters and the transformation function based on pseudo-likelihood and a series of estimating equations. We show that the estimators for the regression parameters and transformation function are consistent and asymptotically normal, and both converge to their true values at the rate of n -1/2, the convergence rate expected for a parametric model. The practical utility of the methods is confirmed via simulations as well as an application of a clinical trial to evaluate the effectiveness of sentinel node biopsy in guiding the treatment of invasive melanoma.
Keyphrases
  • clinical trial
  • randomized controlled trial
  • systematic review
  • electronic health record
  • big data
  • machine learning
  • free survival
  • phase ii
  • data analysis
  • phase iii
  • neural network