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Links between analysis of surrogate endpoints and endogeneity
Authors:Debashis Ghosh  Michael R Elliott  Jeremy M G Taylor
Institution:1. Departments of Statistics and Public Health Sciences, Penn State University, University Park, PA, U.S.A.;2. Department of Biostatistics, University of Michigan, Ann Arbor, MI, U.S.A.
Abstract:There has been substantive interest in the assessment of surrogate endpoints in medical research. These are measures that could potentially replace ‘true’ endpoints in clinical trials and lead to studies that require less follow‐up. Recent research in the area has focused on assessments using causal inference frameworks. Beginning with a simple model for associating the surrogate and true endpoints in the population, we approach the problem as one of endogenous covariates. An instrumental variables estimator and general two‐stage algorithm are proposed. Existing surrogacy frameworks are then evaluated in the context of the model. In addition, we define an extended relative effect estimator as well as a sensitivity analysis for assessing what we term the treatment instrumentality assumption. A numerical example is used to illustrate the methodology. Copyright © 2010 John Wiley & Sons, Ltd.
Keywords:clinical trial  counterfactual  nonlinear response  Prentice criterion  structural equations model
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