Book Image

Building Statistical Models in Python

By : Huy Hoang Nguyen, Paul N Adams, Stuart J Miller
Book Image

Building Statistical Models in Python

By: Huy Hoang Nguyen, Paul N Adams, Stuart J Miller

Overview of this book

The ability to proficiently perform statistical modeling is a fundamental skill for data scientists and essential for businesses reliant on data insights. Building Statistical Models with Python is a comprehensive guide that will empower you to leverage mathematical and statistical principles in data assessment, understanding, and inference generation. This book not only equips you with skills to navigate the complexities of statistical modeling, but also provides practical guidance for immediate implementation through illustrative examples. Through emphasis on application and code examples, you’ll understand the concepts while gaining hands-on experience. With the help of Python and its essential libraries, you’ll explore key statistical models, including hypothesis testing, regression, time series analysis, classification, and more. By the end of this book, you’ll gain fluency in statistical modeling while harnessing the full potential of Python's rich ecosystem for data analysis.
Table of Contents (22 chapters)
1
Part 1:Introduction to Statistics
7
Part 2:Regression Models
10
Part 3:Classification Models
13
Part 4:Time Series Models
17
Part 5:Survival Analysis

Kaplan-Meier model

The first model for survival analysis we will discuss is the Kaplan-Meier model (also called the Kaplan-Meier estimator). We will start this section with a discussion model definition and learn how it is built. Then, we will close this section with an example of how to use this model in Python using the lifelines library. Let’s get started.

Model definition

The Kaplan-Meier estimator is defined by the following formula:

 ˆ S (t) =  i:t it  n i d i _ n i 

Here, n i is the number of subjects at risk just before time t, d i is the number of death events at time t, and  ˆ S (t) (the survival function) is the probability that life is longer than t. The Π symbol used in the formula is like the symbol Σ; however, Π indicates multiplication. This means that the preceding formula will result in a multiplication...