Testing hypotheses using ANOVA

Suppose we have designed an experiment that tests two new processes against the current process and we want to test whether the results of these new processes are different from the current process. In this case, we can use Analysis of Variance (ANOVA) to help us determine whether there are any differences between the mean values of the three sets of results (for this, we need to assume that each sample is drawn from a normal distribution with a common variance).

In this recipe, we will learn how to use ANOVA to compare multiple samples with one another.

Getting ready

For this recipe, we need the SciPy stats module. We will also need to create a default random number generator instance using the following commands:

from numpy.random import default_rng
rng = default_rng(12345)

How to do it...

Follow these steps to perform a (one-way) ANOVA test to test for differences between three different processes:

1. First, we will create some...