Package: HDNRA Type: Package Title: High-Dimensional Location Testing with Normal-Reference Approaches Version: 2.1.0 Date: 2026-04-27 Authors@R: c(person("Pengfei", "Wang", role = c("aut", "cre"), email = "nie23.wp8738@e.ntu.edu.sg"), person("Shuqi", "Luo", role = c("aut"), email = "nie23.ls4909@e.ntu.edu.sg"), person("Tianming", "Zhu", role = c("aut"), email = "tianming.zhu@nie.edu.sg"), person("Bu", "Zhou", role = c("aut"), email = "bu.zhou@u.nus.edu")) Author: Pengfei Wang [aut, cre], Shuqi Luo [aut], Tianming Zhu [aut], Bu Zhou [aut] Maintainer: Pengfei Wang Description: Provides inverse-free high-dimensional location tests for two-sample and general linear hypothesis testing (GLHT) problems under equal or unequal covariance structures. The package implements classical normal-approximation procedures, scale-invariant procedures, normal-reference procedures based on covariance-matched Gaussian companions, and F-type normal-reference calibrations for heteroscedastic Behrens-Fisher and GLHT settings. Implemented two-sample normal-approximation and scale-invariant procedures include Bai and Saranadasa (1996) , Chen and Qin (2010) , Srivastava and Du (2008) , and Srivastava et al. (2013) . Implemented two-sample normal-reference procedures include Zhang, Guo, Zhou and Cheng (2020) , Zhang, Zhou, Guo and Zhu (2021) , Zhang, Zhu and Zhang (2020) , Zhang, Zhu and Zhang (2023) , Zhang and Zhu (2022) , Zhang and Zhu (2022) , and Zhu, Wang and Zhang (2023) . Implemented GLHT normal-approximation procedures include Fujikoshi et al. (2004) , Srivastava and Fujikoshi (2006) , Yamada and Srivastava (2012) , Schott (2007) , and Zhou, Guo and Zhang (2017) . Implemented GLHT normal-reference procedures include Zhang, Guo and Zhou (2017) , Zhang, Zhou and Guo (2022) , Zhu, Zhang and Zhang (2022) , Zhu and Zhang (2022) , Zhang and Zhu (2022) , and Cao et al. (2024) . The package also includes the random-integration normal-approximation GLHT procedure of Li et al. (2025) . A package-level overview is given in Wang, Zhu and Zhang (2026) . License: GPL (>= 3) URL: https://github.com/nie23wp8738/HDNRA, https://nie23wp8738.github.io/HDNRA/ BugReports: https://github.com/nie23wp8738/HDNRA/issues Encoding: UTF-8 Roxygen: list(markdown = TRUE) RoxygenNote: 7.3.2 SystemRequirements: OpenMP LinkingTo: Rcpp, RcppArmadillo Imports: expm, Rcpp, Rdpack, readr, stats, utils Suggests: devtools, dplyr, knitr, rmarkdown, spelling, testthat (>= 3.0.0), tidyr RdMacros: Rdpack Depends: R (>= 4.0.0) LazyData: true Language: en-US Config/testthat/edition: 3 Config/pak/sysreqs: libx11-dev Repository: https://nie23wp8738.r-universe.dev Date/Publication: 2026-04-29 03:29:09 UTC RemoteUrl: https://github.com/nie23wp8738/hdnra RemoteRef: HEAD RemoteSha: 487304673a767caff8f4d57f1e375e6f60b849d6 NeedsCompilation: yes Packaged: 2026-07-03 23:20:26 UTC; root