[0] Utilities 


Apply ksample tests for two univariate samples 

Apply ksample tests for two multivariate samples 

[1] Tests for Univariate Mean 

Onesample Student's ttest for Univariate Mean 

Twosample Student's ttest for Univariate Means 

Analysis of Variance for Equality of Means 

[2] Tests for Multivariate Mean 

Onesample Hotelling's Tsquared Test for Multivariate Mean 

Onesample Test for Mean Vector by Dempster (1958, 1960) 

Onesample Test for Mean Vector by Bai and Saranadasa (1996) 

Onesample Test for Mean Vector by Srivastava and Du (2008) 

Twosample Hotelling's Tsquared Test for Multivariate Means 

Twosample Test for HighDimensional Means by Dempster (1958, 1960) 

Twosample Test for Multivariate Means by Yao (1965) 

Twosample Test for Multivariate Means by Johansen (1980) 

Twosample Test for Multivariate Means by Nel and Van der Merwe (1986) 

Twosample Test for HighDimensional Means by Bai and Saranadasa (1996) 

Twosample Test for Multivariate Means by Krishnamoorthy and Yu (2004) 

Twosample Test for HighDimensional Means by Srivastava and Du (2008) 

Twosample Test for Multivariate Means by Lopes, Jacob, and Wainwright (2011) 

Twosample Test for HighDimensional Means by Cai, Liu, and Xia (2014) 

Twosample Test for Multivariate Means by Thulin (2014) 

Twosample Mean Test with Maximum Pairwise Bayes Factor 

Test for Equality of Means by Schott (2007) 

Test for Equality of Means by Zhang and Xu (2009) 

Test for Equality of Means by Cao, Park, and He (2019) 

[3] Tests for Variance 

OneSample ChiSquare Test for Variance 

TwoSample FTest for Variance 

Bartlett's Test for Homogeneity of Variance 

Levene's Test for Homogeneity of Variance 

BrownForsythe Test for Homogeneity of Variance 

[4] Tests for Covariance 

Onesample Test for Covariance Matrix by Fisher (2012) 

Onesample Test for Covariance Matrix by Wu and Li (2015) 

Twosample Test for HighDimensional Covariances by Li and Chen (2012) 

Twosample Test for Covariance Matrices by Cai, Liu, and Xia (2013) 

Twosample Test for Covariance Matrices by Wu and Li (2015) 

Test for Homogeneity of Covariances by Schott (2001) 

Test for Homogeneity of Covariances by Schott (2007) 

[5] Simultaneous Tests for Mean and Variance 

Onesample Simultaneous Test of Mean and Variance by Arnold and Shavelle (1998) 

Onesample Simultaneous Likelihood Ratio Test of Mean and Variance 

Twosample Simultaneous Test of Mean and Variance by Pearson and Neyman (1930) 

Twosample Simultaneous Test of Mean and Variance by Perng and Littell (1976) 

Twosample Simultaneous Test of Mean and Variance by Muirhead Approximation (1982) 

Twosample Simultaneous Test of Mean and Variance by Zhang, Xu, and Chen (2012) 

Twosample Simultaneous Likelihood Ratio Test of Mean and Variance 

[6] Simultaneous Tests for Mean and Covariance 

Onesample Simultaneous Test of Mean and Covariance by Liu et al. (2017) 

Onesample Simultaneous Likelihood Ratio Test of Mean and Covariance 

Twosample Simultaneous Test of Means and Covariances by Hyodo and Nishiyama (2018) 

[7] Tests for Equality of Distributions 

Test for Equality of Two Distributions by Biswas and Ghosh (2014) 

[8] GoodnessofFit : Normal Distribution 

Univariate Test of Normality by Shapiro and Wilk (1965) 

Univariate Test of Normality by Shapiro and Francia (1972) 

Univariate Test of Normality by Jarque and Bera (1980) 

Adjusted JarqueBera Test of Univariate Normality by Urzua (1996) 

Robust JarqueBera Test of Univariate Normality by Gel and Gastwirth (2008) 

[9] GoodnessofFit : Uniform Distribution 

Multivariate Test of Uniformity based on Interpoint Distances by Yang and Modarres (2017) 

Multivariate Test of Uniformity based on Normal Quantiles by Yang and Modarres (2017) 

[10] Tests on the Special Domains 

Probability Simplex 

Probability Simplex : Tests of Uniformity 