About the Authors

Jin Liu

jin.liu.jl2329@yale.edu (JL); shuangge.ma@yale.edu (SM)

Affiliation Department of Biostatistics, School of Public Health, Yale University, New Haven, Connecticut, United States of America

Jian Huang

Affiliation Department of Statistics & Actuarial Science, Department of Biostatistics, University of Iowa, Iowa City, Iowa, United States of America

Shuangge Ma

jin.liu.jl2329@yale.edu (JL); shuangge.ma@yale.edu (SM)

Affiliation Department of Biostatistics, School of Public Health, Yale University, New Haven, Connecticut, United States of America

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: JL JH SM. Performed the experiments: JL. Analyzed the data: JL. Contributed reagents/materials/analysis tools: JL JH SM. Wrote the paper: JL JH SM.