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  "Title": "Statistical Hypothesis Testing Toolbox",
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  "Authors@R": "c(person(\"Kyoungjae\",\"Lee\",role=\"aut\",email=\"leekjstat@gmail.com\"),person(\"Lizhen\", \"Lin\", role = \"aut\", email=\"lizhen.lin@nd.edu\"),person(\"Kisung\", \"You\", role = c(\"aut\", \"cre\"),email = \"kisung.you@outlook.com\",comment=c(ORCID=\"0000-0002-8584-459X\")))",
  "Description": "We provide a collection of statistical hypothesis testing\nprocedures ranging from classical to modern methods for\nnon-trivial settings such as high-dimensional scenario. For the\ngeneral treatment of statistical hypothesis testing, see the\nbook by Lehmann and Romano (2005) <doi:10.1007/0-387-27605-X>.",
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  "Repository": "https://kisungyou.r-universe.dev",
  "Date/Publication": "2025-02-25 22:19:56 UTC",
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  "Author": "Kyoungjae Lee [aut],\nLizhen Lin [aut],\nKisung You [aut, cre] (ORCID: <https://orcid.org/0000-0002-8584-459X>)",
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    "cov2.2012LC",
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    "cov2.2015WL",
    "cov2.mxPBF",
    "covk.2001Schott",
    "covk.2007Schott",
    "eqdist.2014BG",
    "mean1.1931Hotelling",
    "mean1.1958Dempster",
    "mean1.1996BS",
    "mean1.2008SD",
    "mean1.ttest",
    "mean2.1931Hotelling",
    "mean2.1958Dempster",
    "mean2.1965Yao",
    "mean2.1980Johansen",
    "mean2.1986NVM",
    "mean2.1996BS",
    "mean2.2004KY",
    "mean2.2008SD",
    "mean2.2011LJW",
    "mean2.2014CLX",
    "mean2.2014Thulin",
    "mean2.mxPBF",
    "mean2.ttest",
    "meank.2007Schott",
    "meank.2009ZX",
    "meank.2019CPH",
    "meank.anova",
    "mvar1.1998AS",
    "mvar1.LRT",
    "mvar2.1930PN",
    "mvar2.1976PL",
    "mvar2.1982Muirhead",
    "mvar2.2012ZXC",
    "mvar2.LRT",
    "norm.1965SW",
    "norm.1972SF",
    "norm.1980JB",
    "norm.1996AJB",
    "norm.2008RJB",
    "sim1.2017Liu",
    "sim1.LRT",
    "sim2.2018HN",
    "simplex.uniform",
    "unif.2017YMi",
    "unif.2017YMq",
    "usek1d",
    "useknd",
    "var1.chisq",
    "var2.F",
    "vark.1937Bartlett",
    "vark.1960Levene",
    "vark.1974BF"
  ],
  "_help": [
    {
      "page": "cov1.2012Fisher",
      "title": "One-sample Test for Covariance Matrix by Fisher (2012)",
      "concept": [
        "covariance"
      ],
      "topics": [
        "cov1.2012Fisher"
      ]
    },
    {
      "page": "cov1.2015WL",
      "title": "One-sample Test for Covariance Matrix by Wu and Li (2015)",
      "concept": [
        "covariance"
      ],
      "topics": [
        "cov1.2015WL"
      ]
    },
    {
      "page": "cov2.2012LC",
      "title": "Two-sample Test for High-Dimensional Covariances by Li and Chen (2012)",
      "concept": [
        "covariance"
      ],
      "topics": [
        "cov2.2012LC"
      ]
    },
    {
      "page": "cov2.2013CLX",
      "title": "Two-sample Test for Covariance Matrices by Cai, Liu, and Xia (2013)",
      "concept": [
        "covariance"
      ],
      "topics": [
        "cov2.2013CLX"
      ]
    },
    {
      "page": "cov2.2015WL",
      "title": "Two-sample Test for Covariance Matrices by Wu and Li (2015)",
      "concept": [
        "covariance"
      ],
      "topics": [
        "cov2.2015WL"
      ]
    },
    {
      "page": "covk.2001Schott",
      "title": "Test for Homogeneity of Covariances by Schott (2001)",
      "concept": [
        "covariance"
      ],
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        "covk.2001Schott"
      ]
    },
    {
      "page": "covk.2007Schott",
      "title": "Test for Homogeneity of Covariances by Schott (2007)",
      "concept": [
        "covariance"
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      "topics": [
        "covk.2007Schott"
      ]
    },
    {
      "page": "eqdist.2014BG",
      "title": "Test for Equality of Two Distributions by Biswas and Ghosh (2014)",
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        "eqdist.2014BG"
      ]
    },
    {
      "page": "mean1.1931Hotelling",
      "title": "One-sample Hotelling's T-squared Test for Multivariate Mean",
      "concept": [
        "mean_multivariate"
      ],
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        "mean1.1931Hotelling"
      ]
    },
    {
      "page": "mean1.1958Dempster",
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      "page": "mean1.1996BS",
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    },
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      "title": "One-sample Test for Mean Vector by Srivastava and Du (2008)",
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    },
    {
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        "mean1.ttest"
      ]
    },
    {
      "page": "mean2.1931Hotelling",
      "title": "Two-sample Hotelling's T-squared Test for Multivariate Means",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "mean2.1931Hotelling"
      ]
    },
    {
      "page": "mean2.1958Dempster",
      "title": "Two-sample Test for High-Dimensional Means by Dempster (1958, 1960)",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "mean2.1958Dempster"
      ]
    },
    {
      "page": "mean2.1965Yao",
      "title": "Two-sample Test for Multivariate Means by Yao (1965)",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "mean2.1965Yao"
      ]
    },
    {
      "page": "mean2.1980Johansen",
      "title": "Two-sample Test for Multivariate Means by Johansen (1980)",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "mean2.1980Johansen"
      ]
    },
    {
      "page": "mean2.1986NVM",
      "title": "Two-sample Test for Multivariate Means by Nel and Van der Merwe (1986)",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "mean2.1986NVM"
      ]
    },
    {
      "page": "mean2.1996BS",
      "title": "Two-sample Test for High-Dimensional Means by Bai and Saranadasa (1996)",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "mean2.1996BS"
      ]
    },
    {
      "page": "mean2.2004KY",
      "title": "Two-sample Test for Multivariate Means by Krishnamoorthy and Yu (2004)",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "mean2.2004KY"
      ]
    },
    {
      "page": "mean2.2008SD",
      "title": "Two-sample Test for High-Dimensional Means by Srivastava and Du (2008)",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "mean2.2008SD"
      ]
    },
    {
      "page": "mean2.2011LJW",
      "title": "Two-sample Test for Multivariate Means by Lopes, Jacob, and Wainwright (2011)",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "mean2.2011LJW"
      ]
    },
    {
      "page": "mean2.2014CLX",
      "title": "Two-sample Test for High-Dimensional Means by Cai, Liu, and Xia (2014)",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "mean2.2014CLX"
      ]
    },
    {
      "page": "mean2.2014Thulin",
      "title": "Two-sample Test for Multivariate Means by Thulin (2014)",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "mean2.2014Thulin"
      ]
    },
    {
      "page": "mean2.mxPBF",
      "title": "Two-sample Mean Test with Maximum Pairwise Bayes Factor",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "mean2.mxPBF"
      ]
    },
    {
      "page": "mean2.ttest",
      "title": "Two-sample Student's t-test for Univariate Means",
      "concept": [
        "mean_univariate"
      ],
      "topics": [
        "mean2.ttest"
      ]
    },
    {
      "page": "meank.2007Schott",
      "title": "Test for Equality of Means by Schott (2007)",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "meank.2007Schott"
      ]
    },
    {
      "page": "meank.2009ZX",
      "title": "Test for Equality of Means by Zhang and Xu (2009)",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "meank.2009ZX"
      ]
    },
    {
      "page": "meank.2019CPH",
      "title": "Test for Equality of Means by Cao, Park, and He (2019)",
      "concept": [
        "mean_multivariate"
      ],
      "topics": [
        "meank.2019CPH"
      ]
    },
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      "page": "meank.anova",
      "title": "Analysis of Variance for Equality of Means",
      "concept": [
        "mean_univariate"
      ],
      "topics": [
        "meank.anova"
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    },
    {
      "page": "mvar1.1998AS",
      "title": "One-sample Simultaneous Test of Mean and Variance by Arnold and Shavelle (1998)",
      "concept": [
        "mvar"
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      "topics": [
        "mvar1.1998AS"
      ]
    },
    {
      "page": "mvar1.LRT",
      "title": "One-sample Simultaneous Likelihood Ratio Test of Mean and Variance",
      "concept": [
        "mvar"
      ],
      "topics": [
        "mvar1.LRT"
      ]
    },
    {
      "page": "mvar2.1930PN",
      "title": "Two-sample Simultaneous Test of Mean and Variance by Pearson and Neyman (1930)",
      "concept": [
        "mvar"
      ],
      "topics": [
        "mvar2.1930PN"
      ]
    },
    {
      "page": "mvar2.1976PL",
      "title": "Two-sample Simultaneous Test of Mean and Variance by Perng and Littell (1976)",
      "concept": [
        "mvar"
      ],
      "topics": [
        "mvar2.1976PL"
      ]
    },
    {
      "page": "mvar2.1982Muirhead",
      "title": "Two-sample Simultaneous Test of Mean and Variance by Muirhead Approximation (1982)",
      "concept": [
        "mvar"
      ],
      "topics": [
        "mvar2.1982Muirhead"
      ]
    },
    {
      "page": "mvar2.2012ZXC",
      "title": "Two-sample Simultaneous Test of Mean and Variance by Zhang, Xu, and Chen (2012)",
      "concept": [
        "mvar"
      ],
      "topics": [
        "mvar2.2012ZXC"
      ]
    },
    {
      "page": "mvar2.LRT",
      "title": "Two-sample Simultaneous Likelihood Ratio Test of Mean and Variance",
      "concept": [
        "mvar"
      ],
      "topics": [
        "mvar2.LRT"
      ]
    },
    {
      "page": "norm.1965SW",
      "title": "Univariate Test of Normality by Shapiro and Wilk (1965)",
      "concept": [
        "gof_normal"
      ],
      "topics": [
        "norm.1965SW"
      ]
    },
    {
      "page": "norm.1972SF",
      "title": "Univariate Test of Normality by Shapiro and Francia (1972)",
      "concept": [
        "gof_normal"
      ],
      "topics": [
        "norm.1972SF"
      ]
    },
    {
      "page": "norm.1980JB",
      "title": "Univariate Test of Normality by Jarque and Bera (1980)",
      "concept": [
        "gof_normal"
      ],
      "topics": [
        "norm.1980JB"
      ]
    },
    {
      "page": "norm.1996AJB",
      "title": "Adjusted Jarque-Bera Test of Univariate Normality by Urzua (1996)",
      "concept": [
        "gof_normal"
      ],
      "topics": [
        "norm.1996AJB"
      ]
    },
    {
      "page": "norm.2008RJB",
      "title": "Robust Jarque-Bera Test of Univariate Normality by Gel and Gastwirth (2008)",
      "concept": [
        "gof_normal"
      ],
      "topics": [
        "norm.2008RJB"
      ]
    },
    {
      "page": "sim1.2017Liu",
      "title": "One-sample Simultaneous Test of Mean and Covariance by Liu et al. (2017)",
      "concept": [
        "simtest"
      ],
      "topics": [
        "sim1.2017Liu"
      ]
    },
    {
      "page": "sim1.LRT",
      "title": "One-sample Simultaneous Likelihood Ratio Test of Mean and Covariance",
      "concept": [
        "simtest"
      ],
      "topics": [
        "sim1.LRT"
      ]
    },
    {
      "page": "sim2.2018HN",
      "title": "Two-sample Simultaneous Test of Means and Covariances by Hyodo and Nishiyama (2018)",
      "concept": [
        "simtest"
      ],
      "topics": [
        "sim2.2018HN"
      ]
    },
    {
      "page": "simplex.uniform",
      "title": "Probability Simplex : Tests of Uniformity",
      "concept": [
        "simplex"
      ],
      "topics": [
        "simplex.uniform"
      ]
    },
    {
      "page": "unif.2017YMi",
      "title": "Multivariate Test of Uniformity based on Interpoint Distances by Yang and Modarres (2017)",
      "concept": [
        "gof_uniform"
      ],
      "topics": [
        "unif.2017YMi"
      ]
    },
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