Nonparametric statistics are a useful tool for comparing different groups when traditional methods can't be used. Researchers have identified five main categories of nonparametric tests, including tests for randomness, chi-square tests, and tests for comparing independent populations. By using statistical software like MINITAB, researchers can easily apply these techniques. Examples of nonparametric tests include the Mann-Whitney Test and the Kruskal-Wallis H Test. These methods are widely used in various fields to analyze data and draw meaningful conclusions.