Other statistical tests
The tests we have covered so far were mainly for testing the difference in means between groups. There are a huge number of other tests, and many of them have specific purposes. One set of tests we will not cover here are non-parametric tests, which are for small sample sizes and non-Gaussian distributions. Those tests also return p-values for a hypothesis test like the t- and z-test. Some of the common non-parametric tests are the sign test, the Wilcoxen signed-rank test, and the Mann-Whitney U test. Here, we will cover tests for checking if data comes from a specific distribution, an outlier test, and tests for relationships between variables.
Testing if data belongs to a distribution
The first set of tests we will examine test if data is from a normal distribution. The first way to test this is to simply plot a histogram and "eyeball" it. There are several other tests for checking if something comes from a normal distribution, however,...