Statistical inference for data science
Statistical inference for data science
A companion to the Coursera Statistical Inference Course
About the Book
The ideal reader for this book will be quantitatively literate and has a basic understanding of statistical concepts and R programming. The book gives a rigorous treatment of the elementary concepts in statistical inference from a classical frequentist perspective. After reading this book and performing the exercises, the student will understand the basics of hypothesis testing, confidence intervals and probability. Check out the status of the book at github https://github.com/bcaffo/LittleInferenceBook
License
About the Author
Packages
The Book
PDF
EPUB
MOBI
WEB
English
The Book + Videos
This is the book plus all of the videos in MP4 format. Not necessary if you just want to watch the videos on YouTube or Coursera.
Includes:
Videos
Video lectures associated with the book.
PDF
EPUB
MOBI
WEB
English
The book + videos + homework videos + github repos
This contains the book, the videos for the course, the homework solutions and the course repositories. Not necessary if you want to get the videos on YouTube or Coursera and the repos from github.
Includes:
Videos
Video lectures associated with the book.
Homework Videos
This is all of the homework videos downloadable. The filename contains the problem numbers. These are all available on YouTube as well.
Github repos
This contains the github repo for the Coursera Class and the homework.
PDF
EPUB
MOBI
WEB
English
Table of Contents
-
- About this book
- About the picture on the cover
-
1. Introduction
- Before beginning
- Statistical inference defined
- Summary notes
- The goals of inference
- The tools of the trade
- Different thinking about probability leads to different styles of inference
- Exercises
-
2. Probability
- Where to get a more thorough treatment of probability
- Kolmogorov’s Three Rules
- Consequences of The Three Rules
- Random variables
- Probability mass functions
- Probability density functions
- CDF and survival function
- Quantiles
- Exercises
-
3. Conditional probability
- Conditional probability, motivation
- Conditional probability, definition
- Bayes’ rule
- Diagnostic Likelihood Ratios
- Independence
- IID random variables
- Exercises
-
4. Expected values
- The population mean for discrete random variables
- The sample mean
- Continuous random variables
- Simulation experiments
- Summary notes
- Exercises
-
5. Variation
- The variance
- The sample variance
- Simulation experiments
- The standard error of the mean
- Data example
- Summary notes
- Exercises
-
6. Some common distributions
- The Bernoulli distribution
- Binomial trials
- The normal distribution
- The Poisson distribution
- Exercises
-
7. Asymptopia
- Asymptotics
- Limits of random variables
- The Central Limit Theorem
- CLT simulation experiments
- Confidence intervals
- Simulation of confidence intervals
- Poisson interval
- Summary notes
- Exercises
-
8. t Confidence intervals
- Small sample confidence intervals
- Gosset’s t distribution
- The data
- Independent group t confidence intervals
- Confidence interval
- Mistakenly treating the sleep data as grouped
- Unequal variances
- Summary notes
- Exercises
-
9. Hypothesis testing
- Hypothesis testing
- Types of errors in hypothesis testing
- Discussion relative to court cases
- Building up a standard of evidence
- General rules
- Two sided tests
- T test in R
- Connections with confidence intervals
- Two group intervals
- Exact binomial test
- Exercises
-
10. P-values
- Introduction to P-values
- What is a P-value?
- The attained significance level
- Binomial P-value example
- Poisson example
- Exercises
-
11. Power
- Power
- Question
- Notes
- T-test power
- Exercises
-
12. The bootstrap and resampling
- The bootstrap
- The bootstrap principle
- Group comparisons via permutation tests
- Permutation tests
- Variations on permutation testing
- Permutation test B v C
- Exercises
The Leanpub 60-day 100% Happiness Guarantee
Within 60 days of purchase you can get a 100% refund on any Leanpub purchase, in two clicks.
See full terms
Do Well. Do Good.
Authors have earned$11,714,583writing, publishing and selling on Leanpub, earning 80% royalties while saving up to 25 million pounds of CO2 and up to 46,000 trees.
Learn more about writing on Leanpub
Free Updates. DRM Free.
If you buy a Leanpub book, you get free updates for as long as the author updates the book! Many authors use Leanpub to publish their books in-progress, while they are writing them. All readers get free updates, regardless of when they bought the book or how much they paid (including free).
Most Leanpub books are available in PDF (for computers), EPUB (for phones and tablets) and MOBI (for Kindle). The formats that a book includes are shown at the top right corner of this page.
Finally, Leanpub books don't have any DRM copy-protection nonsense, so you can easily read them on any supported device.
Learn more about Leanpub's ebook formats and where to read them
Top Books
- #1
Recipes for Decoupling
Matthias NobackWrite software that survives
- #2
OpenIntro Statistics
David Diez, Christopher Barr, Mine Cetinkaya-Rundel, and OpenIntroA complete foundation for Statistics, also serving as a foundation for Data Science.
Leanpub revenue supports OpenIntro (US-based nonprofit) so we can provide free desk copies to teachers interested in using OpenIntro Statistics in the classroom and expand the project to support free textbooks in other subjects.
More resources: openintro.org.
- #3
C++20 - The Complete Guide
Nicolai M. JosuttisAll new language and library features of C++20 (for those who know previous C++ versions).
The book presents all new language and library features of C++20. Learn how this impacts day-to-day programming, to benefit in practice, to combine new features, and to avoid all new traps.
Buy early, pay less, free updates.
Other books:
- #4
CQRS by Example
Carlos Buenosvinos, Christian Soronellas, and Keyvan Akbary- Leverage your Software Architecture skills by learning everything about CQRS in detail with lots of examples
- Develop faster applications by applying CQRS and fostering Read Models and Projections
- Learn how to apply CQRS into a brownfield project from a pragmatic approach
- #5
Ansible for DevOps
Jeff GeerlingAnsible is a simple, but powerful, server and configuration management tool. Learn to use Ansible effectively, whether you manage one server—or thousands.
- #6
Maîtriser Apache JMeter
Philippe Mouawad, Bruno Demion (Milamber), and Antonio Gomes RodriguesToute la puissance d'Apache JMeter expliquée par ses commiteurs et utilisateurs experts. De l'intégration continue en passant par le Cloud, vous découvrirez comment intégrer JMeter à vos processus "Agile" et Devops.
If you're looking for the newer english version of this book, go to Master JMeter : From load testing to DevOps
- #7
Jetpack Compose internals
Jorge CastilloJetpack Compose is the future of Android UI. Master how it works internally and become a more efficient developer with it. You'll also find it valuable if you are not an Android dev. This book provides all the details to understand how the Compose compiler & runtime work, and how to create a client library using them.
- #8
The PowerShell Scripting and Toolmaking Book
Don Jones and Jeff HicksLearn the patterns, practices, and details of PowerShell Scripting and Toolmaking from the industry's two most recognized experts on the subject.
- #9
Mastering STM32 - Second Edition
Carmine NovielloWith more than 1200 microcontrollers, STM32 is probably the most complete ARM Cortex-M platform on the market. This book aims to be the most complete guide around introducing the reader to this exciting MCU portfolio from ST Microelectronics and its official CubeHAL and STM32CubeIDE development environment.
- #10
Introduction to Data Science
Rafael A IrizarryThe demand for skilled data science practitioners in industry, academia, and government is rapidly growing. This book introduces concepts from probability, statistical inference, linear regression and machine learning and R programming skills. Throughout the book we demonstrate how these can help you tackle real-world data analysis challenges.
Top Bundles
- #1
Software Architecture
2 Books
"Software Architecture for Developers" is a practical and pragmatic guide to modern, lightweight software architecture, specifically aimed at developers. You'll learn:The essence of software architecture.Why the software architecture role should include coding, coaching and collaboration.The things that you really need to think about before... - #2
CCIE Service Provider Ultimate Study Bundle
2 Books
Piotr Jablonski, Lukasz Bromirski, and Nick Russo have joined forces to deliver the only CCIE Service Provider training resource you'll ever need. This bundle contains a detailed and challenging collection of workbook labs, plus an extensively detailed technical reference guide. All of us have earned the CCIE Service Provider certification... - #4
Pattern-Oriented Memory Forensics and Malware Detection
2 Books
This training bundle for security engineers and researchers, malware and memory forensics analysts includes two accelerated training courses for Windows memory dump analysis using WinDbg. It is also useful for technical support and escalation engineers who analyze memory dumps from complex software environments and need to check for possible... - #6
All the Books of The Medical Futurist
6 Books
We put together the most popular books from The Medical Futurist to provide a clear picture about the major trends shaping the future of medicine and healthcare. Digital health technologies, artificial intelligence, the future of 20 medical specialties, big pharma, data privacy, digital health investments and how technology giants such as Amazon...
