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Murphy, Susan A., M.J. Van Der Laan, J.M. Robins, and and Conduct Problems Research Group. 2001. "Marginal Mean Models for Dynamic Regimes." Journal of the American Statistical Association, 96(456): 1410-1423.
A dynamic treatment regime is a list of rules for how the level of treatment will be tailored through time to an individual's changing severity. In general, individuals who receive the highest level of treatment are the individuals with the greatest severity and need for treatment. Thus, there is planned selection of the treatment dose. In addition to the planned selection mandated by the treatment rules, staff judgment results in unplanned selection of the treatment level. Given observational longitudinal data or data in which there is unplanned selection of the treatment level, the methodology proposed here allows the estimation of a mean response to a dynamic treatment regime under the assumption of sequential randomization.