About the Authors

Jia-Chiun Pan

Affiliation Department of Mathematics, National Chung Cheng University, Chiayi, Taiwan

Chih-Min Liu

Affiliation Department of Psychiatry, National Taiwan University Hospital and National Taiwan University College of Medicine, Taipei, Taiwan

Hai-Gwo Hwu

Affiliation Department of Psychiatry, National Taiwan University Hospital and National Taiwan University College of Medicine, Taipei, Taiwan

Guan-Hua Huang

ghuang@stat.nctu.edu.tw

Affiliation Institute of Statistics, National Chiao Tung University, Hsinchu, Taiwan

Competing Interests

The authors have declared that no competing interests exist.

Author Contributions

Conceived and designed the experiments: JP GH. Analyzed the data: JP. Wrote the paper: JP GH. Conducted simulation studies: JP. Provided the clinical dataset and the ideas for discussion: CL HH.