About the Authors

Long Liu

Contributed equally to this work with: Long Liu, Qingyu Meng

Roles Methodology, Software

Affiliation Department of Health Statistics, Shanxi Medical University, Taiyuan, Shanxi, China

Qingyu Meng

Contributed equally to this work with: Long Liu, Qingyu Meng

Roles Formal analysis, Software, Validation, Writing – review & editing

Affiliation Department of Health Statistics, Shanxi Medical University, Taiyuan, Shanxi, China

Cherry Weng

Roles Formal analysis, Software

Affiliation Department of Statistics, University of Auckland, Auckland, New Zealand

Qing Lu

Roles Conceptualization, Writing – review & editing

Affiliation Department of Biostatistics, University of Florida, Gainesville, Florida, United States of America

Tong Wang

Roles Supervision, Writing – review & editing

tongwang@sxmu.edu.cn (TW); y.wen@auckland.ac.nz (YW)

Affiliation Department of Health Statistics, Shanxi Medical University, Taiyuan, Shanxi, China

Yalu Wen

Roles Conceptualization, Methodology, Supervision, Writing – original draft, Writing – review & editing

tongwang@sxmu.edu.cn (TW); y.wen@auckland.ac.nz (YW)

Affiliations Department of Health Statistics, Shanxi Medical University, Taiyuan, Shanxi, China, Department of Statistics, University of Auckland, Auckland, New Zealand

Competing Interests

The authors have declared that no competing interests exist.