Book Image

Bayesian Analysis with Python - Third Edition

By : Osvaldo Martin
Book Image

Bayesian Analysis with Python - Third Edition

By: Osvaldo Martin

Overview of this book

The third edition of Bayesian Analysis with Python serves as an introduction to the main concepts of applied Bayesian modeling using PyMC, a state-of-the-art probabilistic programming library, and other libraries that support and facilitate modeling like ArviZ, for exploratory analysis of Bayesian models; Bambi, for flexible and easy hierarchical linear modeling; PreliZ, for prior elicitation; PyMC-BART, for flexible non-parametric regression; and Kulprit, for variable selection. In this updated edition, a brief and conceptual introduction to probability theory enhances your learning journey by introducing new topics like Bayesian additive regression trees (BART), featuring updated examples. Refined explanations, informed by feedback and experience from previous editions, underscore the book's emphasis on Bayesian statistics. You will explore various models, including hierarchical models, generalized linear models for regression and classification, mixture models, Gaussian processes, and BART, using synthetic and real datasets. By the end of this book, you will possess a functional understanding of probabilistic modeling, enabling you to design and implement Bayesian models for your data science challenges. You'll be well-prepared to delve into more advanced material or specialized statistical modeling if the need arises.
Table of Contents (15 chapters)
Preface
12
Bibliography
13
Other Books You May Enjoy
14
Index

6.8 Interpreting models with Bambi

We have been using bmb.interpret_plot_predictions a lot in this chapter. But that’s not the only tool that Bambi offers us to help us understand models. One of them is bmb.interpret_plot_comparisons. This tool helps us answer the question, ”What is the expected predictive difference when we compare two values of a given variable while keeping all the rest at constant values?”.

Let’s use model_int from the previous section, so we don’t need to fit a new model. We use the following code block to generate Figure 6.15:

Code 6.20

bmb.interpret.plot_comparisons(model_int, idata_int, 
                               contrast={"bill_depth":[1.4, 1.8]}, 
                ...