[1] Natl Cerebral & Cardiovasc Ctr, Biostat & Data Management, Suita, Osaka 5658565, Japan
[2] Osaka Univ, Grad Sch Med, Dept Innovat Clin Trials & Data Sci, Osaka, Japan
[3] Harvard Univ, TH Chan Sch Publ Hlth, Dept Biostat, Boston, MA 02115 USA
[4] Harvard Univ, TH Chan Sch Publ Hlth, Ctr Biostat AIDS Res, Boston, MA 02115 USA
[5] Hirosaki Univ, Grad Sch Sci & Technol, Dept Math Sci, Math Sci, Hirosaki, Aomori 0368561, Japan
[6] Kyoto Univ, Sch Publ Hlth, Dept Biostat, Biostat, Kyoto 6068501, Japan