Near the end of the last millennium, relatively few studies on the long-term health effects of air pollution had been undertaken. Two studies were effectively being used for setting government regulations designed to protect public health, namely the American Cancer Society Cancer (ACS) Cancer Prevention II Cohort Study and the Harvard 6-Cities Study. These studies came under increasing scrutiny due to their influential role in setting public health regulations in the United States and elsewhere. As a result, the U.S. Congress requested an independent reanalysis of these two studies. The Health Effects Institute administered the study, which was led by Drs. Krewski and Burnett. Working with fellow statistician Dr. Renjun Ma, Dr. Burnett developed a new flexible method of estimating the Cox proportional hazards model with allowance for random effects that essentially captured the residual variation not accounted for by the fixed predictors in the model. This allowed for the development of an iterative and powerful new method for investigating and minimizing confounding from our Cox model predictions because we could assess the size of the residual variation in total with the random effects variance, and we could also map out the random effects to search for spatial patterns that would represent potentially important missing confounders. This led to a 15-year endeavor to refine these models with the development of new random effects software that we used to assess the long-term effects of air pollution in the ACS cohort and subsequently several other cohorts. In this presentation, I will introduce the random effects method and show several examples that illustrate the capacity of this method to defend against residual confounding and to ultimately produce the sound science required to support regulatory standards and health impact assessments.