A collaborative study including Dr. Kao-Tai Tsai, adjunct professor of biostatistics, and Dr. Karl E. Peace, professor of biostatistics, at Georgia Southern University Jiann-Ping Hsu College of Public Health propose an analysis strategy of subgroup data of clinical trials. In this article, the analysis strategy that shows improvement to conventional methods. Treatment effects and their differences are estimated after adjustment for background imbalances. Treatment groups are then compared using confidence intervals whose limits are determined using the Robbins–Monro stochastic approximation. Data from a recent clinical trial are used to illustrate theme methodology. The article was published in the Journal of Casual Inference.