Book Image

Applying Math with Python - Second Edition

By : Sam Morley
Book Image

Applying Math with Python - Second Edition

By: Sam Morley

Overview of this book

The updated edition of Applying Math with Python will help you solve complex problems in a wide variety of mathematical fields in simple and efficient ways. Old recipes have been revised for new libraries and several recipes have been added to demonstrate new tools such as JAX. You'll start by refreshing your knowledge of several core mathematical fields and learn about packages covered in Python's scientific stack, including NumPy, SciPy, and Matplotlib. As you progress, you'll gradually get to grips with more advanced topics of calculus, probability, and networks (graph theory). Once you’ve developed a solid base in these topics, you’ll have the confidence to set out on math adventures with Python as you explore Python's applications in data science and statistics, forecasting, geometry, and optimization. The final chapters will take you through a collection of miscellaneous problems, including working with specific data formats and accelerating code. By the end of this book, you'll have an arsenal of practical coding solutions that can be used and modified to solve a wide range of practical problems in computational mathematics and data science.
Table of Contents (13 chapters)

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...