The relationship between Health Factors and Health Outcomes is a topic of great practical importance in the understanding of the genesis of and solution to the problem of health disparities. We have investigated the data compiled by the Population Health Institute of the University of Wisconsin and contained within the Robert Wood Johnson Foundation's “County Health Rankings and Roadmaps” with special reference to Arizona. We found that the relationships are complex, non-linear and in many instances counterintuitive. There exists a nonlinear model “signature” specific to each state as well as the counties within each state. The surprisingly better Health Outcomes in Yuma County than what would normally be expected from the Health Factors indicate that the transformational function that converts Health Factors into Health Outcomes may be more important than the Health Factors themselves. This transformational function approach allows new understanding for such anomalies in Health Outcomes.