Exact Nonparametric Hypothesis Tests for the Mean, Variance and Stochastic Inequality
Nonparametric hypothesis tests
A test for the mean difference between two bounded random variables gi...
A test for the mean of a bounded random variable based on a single sam...
A test for comparing the means of two bounded random variables given t...
A test of a stochastic inequality given two independent samples
A test for the variance of a bounded random variable based on a single...
Provides several novel exact hypothesis tests with minimal assumptions on the errors. The tests are exact, meaning that their p-values are correct for the given sample sizes (the p-values are not derived from asymptotic analysis). The test for stochastic inequality is for ordinal comparisons based on two independent samples and requires no assumptions on the errors. The other tests include tests for the mean and variance of a single sample and comparing means in independent samples. All these tests only require that the data has known bounds (such as percentages that lie in [0,100]. These bounds are part of the input.