[0] Utilities |
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Apply k-sample tests for two univariate samples |
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Apply k-sample tests for two multivariate samples |
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[1] Tests for Univariate Mean |
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One-sample Student's t-test for Univariate Mean |
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Two-sample Student's t-test for Univariate Means |
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Analysis of Variance for Equality of Means |
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[2] Tests for Multivariate Mean |
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One-sample Hotelling's T-squared Test for Multivariate Mean |
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One-sample Test for Mean Vector by Dempster (1958, 1960) |
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One-sample Test for Mean Vector by Bai and Saranadasa (1996) |
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One-sample Test for Mean Vector by Srivastava and Du (2008) |
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Two-sample Hotelling's T-squared Test for Multivariate Means |
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Two-sample Test for High-Dimensional Means by Dempster (1958, 1960) |
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Two-sample Test for Multivariate Means by Yao (1965) |
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Two-sample Test for Multivariate Means by Johansen (1980) |
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Two-sample Test for Multivariate Means by Nel and Van der Merwe (1986) |
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Two-sample Test for High-Dimensional Means by Bai and Saranadasa (1996) |
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Two-sample Test for Multivariate Means by Krishnamoorthy and Yu (2004) |
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Two-sample Test for High-Dimensional Means by Srivastava and Du (2008) |
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Two-sample Test for Multivariate Means by Lopes, Jacob, and Wainwright (2011) |
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Two-sample Test for High-Dimensional Means by Cai, Liu, and Xia (2014) |
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Two-sample Test for Multivariate Means by Thulin (2014) |
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Two-sample Mean Test with Maximum Pairwise Bayes Factor |
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Test for Equality of Means by Schott (2007) |
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Test for Equality of Means by Zhang and Xu (2009) |
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Test for Equality of Means by Cao, Park, and He (2019) |
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[3] Tests for Variance |
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One-Sample Chi-Square Test for Variance |
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Two-Sample F-Test for Variance |
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Bartlett's Test for Homogeneity of Variance |
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Levene's Test for Homogeneity of Variance |
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Brown-Forsythe Test for Homogeneity of Variance |
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[4] Tests for Covariance |
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One-sample Test for Covariance Matrix by Fisher (2012) |
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One-sample Test for Covariance Matrix by Wu and Li (2015) |
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Two-sample Test for High-Dimensional Covariances by Li and Chen (2012) |
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Two-sample Test for Covariance Matrices by Cai, Liu, and Xia (2013) |
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Two-sample Test for Covariance Matrices by Wu and Li (2015) |
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Test for Homogeneity of Covariances by Schott (2001) |
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Test for Homogeneity of Covariances by Schott (2007) |
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[5] Simultaneous Tests for Mean and Variance |
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One-sample Simultaneous Test of Mean and Variance by Arnold and Shavelle (1998) |
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One-sample Simultaneous Likelihood Ratio Test of Mean and Variance |
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Two-sample Simultaneous Test of Mean and Variance by Pearson and Neyman (1930) |
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Two-sample Simultaneous Test of Mean and Variance by Perng and Littell (1976) |
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Two-sample Simultaneous Test of Mean and Variance by Muirhead Approximation (1982) |
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Two-sample Simultaneous Test of Mean and Variance by Zhang, Xu, and Chen (2012) |
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Two-sample Simultaneous Likelihood Ratio Test of Mean and Variance |
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[6] Simultaneous Tests for Mean and Covariance |
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One-sample Simultaneous Test of Mean and Covariance by Liu et al. (2017) |
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One-sample Simultaneous Likelihood Ratio Test of Mean and Covariance |
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Two-sample Simultaneous Test of Means and Covariances by Hyodo and Nishiyama (2018) |
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[7] Tests for Equality of Distributions |
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Test for Equality of Two Distributions by Biswas and Ghosh (2014) |
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[8] Goodness-of-Fit : Normal Distribution |
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Univariate Test of Normality by Shapiro and Wilk (1965) |
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Univariate Test of Normality by Shapiro and Francia (1972) |
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Univariate Test of Normality by Jarque and Bera (1980) |
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Adjusted Jarque-Bera Test of Univariate Normality by Urzua (1996) |
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Robust Jarque-Bera Test of Univariate Normality by Gel and Gastwirth (2008) |
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[9] Goodness-of-Fit : Uniform Distribution |
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Multivariate Test of Uniformity based on Interpoint Distances by Yang and Modarres (2017) |
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Multivariate Test of Uniformity based on Normal Quantiles by Yang and Modarres (2017) |
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[10] Tests on the Special Domains |
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Probability Simplex |
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Probability Simplex : Tests of Uniformity |
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