The analysis of neurologic studies using an extended exponential model

At some point in time during a post-surgery period, an anesthesiologist may intervene using a medication to quicken a patient’s conscious-recovery time. An assessment of such intervention methods has clinical importance. One performs an extension of the exponential model to address this issue. The model derived is the intervened exponential model (IED). Statistical properties of this new model, expressions to estimate the model parameters, and a test statistic procedure to verify conjectures about the intervention efforts are derived. Other concepts, such as the hazard function and its relevance to this model are introduced and examined. An illustrative example is pursued to demonstrate this procedure.