HDNRA: High-Dimensional Location Testing with Normal-Reference Approaches
Pengfei Wang, Shuqi Luo, Tianming Zhu, Bu Zhou · 2024
We provide a collection of various classical tests and latest normal-reference tests for comparing high-dimensional mean vectors including two-sample and general linear hypothesis testing (GLHT) problem. Some existing tests for two-sample problem [see Bai, Zhidong, and Hewa Saranadasa.(1996) ; Chen, Song Xi, and Ying-Li Qin.(2010) ; Srivastava, Muni S., and Meng Du.(2008) ; Srivastava, Muni S., Shota Katayama, and Yutaka Kano.(2013)]. Normal-reference tests for two-sample problem [see Zhang, Jin-Ting, Jia Guo, Bu Zhou, and Ming-Yen Cheng.(2020) ; Zhang, Jin-Ting, Bu Zhou, Jia Guo, and Tianming Zhu.(2021) ; Zhang, Liang, Tianming Zhu, and Jin-Ting Zhang.(2020) ; Zhang, Liang, Tianming Zhu, and Jin-Ting Zhang.(2023) ; Zhang, Jin-Ting, and Tianming Zhu.(2022) ; Zhang, Jin-Ting, and Tianming Zhu.(2022) ; Zhu, Tianming, Pengfei Wang, and Jin-Ting Zhang.(2023) ]. Some existing tests for GLHT problem [see Fujikoshi, Yasunori, Tetsuto Himeno, and Hirofumi Wakaki.(2004) ; Srivastava, Muni S., and Yasunori Fujikoshi.(2006) ; Yamada, Takayuki, and Muni S. Srivastava.(2012) ; Schott, James R.(2007) ; Zhou, Bu, Jia Guo, and Jin-Ting Zhang.(2017) ]. Normal-reference tests for GLHT problem [see Zhang, Jin-Ting, Jia Guo, and Bu Zhou.(2017) ; Zhang, Jin-Ting, Bu Zhou, and Jia Guo.(2022) ; Zhu, Tianming, Liang Zhang, and Jin-Ting Zhang.(2022) ; Zhu, Tianming, and Jin-Ting Zhang.(2022) ; Zhang, Jin-Ting, and Tianming Zhu.(2022) ].