Book Image

Applying Math with Python

By : Sam Morley
Book Image

Applying Math with Python

By: Sam Morley

Overview of this book

Python, one of the world's most popular programming languages, has a number of powerful packages to help you tackle complex mathematical problems in a simple and efficient way. These core capabilities help programmers pave the way for building exciting applications in various domains, such as machine learning and data science, using knowledge in the computational mathematics domain. The book teaches you how to solve problems faced in a wide variety of mathematical fields, including calculus, probability, statistics and data science, graph theory, optimization, and geometry. You'll start by developing core skills and learning about packages covered in Python’s scientific stack, including NumPy, SciPy, and Matplotlib. As you advance, you'll get to grips with more advanced topics of calculus, probability, and networks (graph theory). After you gain a solid understanding of these topics, you'll discover 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 (12 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 see 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 a default random number generator instance created using the following commands:

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

How to do it...

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