About the Authors

James A. Wiley

Affiliation Department of Family and Community Medicine and Institute for Health Policy Studies, School of Medicine, University of California San Francisco, San Francisco, California, United States of America

John Levi Martin

jlmartin@uchicago.edu

Affiliation Sociology Department, University of Chicago, Chicago, Illinois, United States of America

Stephen J. Herschkorn

Affiliation Department of Mathematics, College of Staten Island, New York City, New York, United States of America

Jason Bond

Affiliation Alcohol Research Group, Emeryville, California, United States of America

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Analyzed the data: JAW JLM JB. Contributed reagents/materials/analysis tools: JAW. Wrote the paper: JAW JLM. Mathematical solutions: SJH. Identifiability checks: SJH. Algorithm: SJH JLM JAW. Programming: JLM JB.