Randomized control trials in an imperfect world

Randomized control trials (RCTs) have become increasingly important as an evidence-based method to evaluate interventions such as government programs and policy initiatives. Frequently, however, RCTs are characterized by ``imperfect compliance'' in that not all the subjects who are randomly assigned to take a treatment choose to do so. This could result in a failure to identify the treatment effect, or the impact of the treatment on the the population. However, useful information on treatment effectiveness can still be recovered by estimating ``bounds'' or a range of values in which treatment effectiveness can lie.