When comparing two groups, you are most likely going to be using a t-test (or non-parametric alternative) or a chi-square test. Below are links with details on how to use these tests. If your data ...

The Wilcoxon Rank Sum Test is a non-parametric means of comparing data between two sets. It operates as a useful alternative ...

The test statistic admits an asymptotic normal distribution under the null hypothesis, and the test is consistent under global alternatives ... Specification Test, Nonparametric Regression, ...

In cases where transformations do not resolve assumption violations, non-parametric tests offer an alternative. These tests do not rely on the assumptions required by parametric tests, although ...