[1] Univ Penn, Perelman Sch Med, Dept Biostat & Epidemiol, 606 Blockley Hall,423 Guardian Dr, Philadelphia, PA 19104 USA
[2] Univ Penn, Leonard Davis Inst Hlth Econ, Perelman Sch Med, Ctr Hlth Incent & Behav Econ, Philadelphia, PA 19104 USA
[3] Univ Penn, Perelman Sch Med, Ctr Clin Epidemiol & Biostat, Philadelphia, PA 19104 USA
[4] Duke Univ, Med Ctr, Dept Med, Durham, NC 27710 USA
[5] US Dept Vet Affairs, Ctr Hlth Serv Res Primary Care, Durham, NC USA
[6] Univ Oxford, Dept Econ, Oxford, England
[7] Weight Watchers Int, Dept Sci & Innovat, New York, NY USA
[8] Temple Univ, Ctr Obes Res & Educ, Philadelphia, PA USA
[9] Philadelphia Vet Affairs Med Ctr, Ctr Hlth Equ Res & Promot, Philadelphia, PA USA
[10] Univ Penn, Dept Med, Perelman Sch Med, Philadelphia, PA 19104 USA
[11] Univ Penn, Wharton Sch, Dept Hlth Care Syst, Philadelphia, PA 19104 USA