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15 Math Concepts Every Data Scientist Should Know

You're reading from   15 Math Concepts Every Data Scientist Should Know Understand and learn how to apply the math behind data science algorithms

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Product type Paperback
Published in Aug 2024
Publisher Packt
ISBN-13 9781837634187
Length 510 pages
Edition 1st Edition
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Author (1):
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David Hoyle David Hoyle
Author Profile Icon David Hoyle
David Hoyle
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Table of Contents (21) Chapters Close

Preface 1. Part 1: Essential Concepts FREE CHAPTER
2. Chapter 1: Recap of Mathematical Notation and Terminology 3. Chapter 2: Random Variables and Probability Distributions 4. Chapter 3: Matrices and Linear Algebra 5. Chapter 4: Loss Functions and Optimization 6. Chapter 5: Probabilistic Modeling 7. Part 2: Intermediate Concepts
8. Chapter 6: Time Series and Forecasting 9. Chapter 7: Hypothesis Testing 10. Chapter 8: Model Complexity 11. Chapter 9: Function Decomposition 12. Chapter 10: Network Analysis 13. Part 3: Selected Advanced Concepts
14. Chapter 11: Dynamical Systems 15. Chapter 12: Kernel Methods 16. Chapter 13: Information Theory 17. Chapter 14: Non-Parametric Bayesian Methods 18. Chapter 15: Random Matrices 19. Index 20. Other Books You May Enjoy

Hypothesis Testing

Hypothesis tests are a ubiquitous part of classical statistics. They often have a very simple objective, such as testing whether two samples of data indicate there is a difference in the means of the underlying populations from which those samples were taken. Despite the simplicity of these aims and questions, hypothesis tests have very practical applications. The question of whether two populations have different means is precisely what we ask when running an A/B test to decide whether the A variant of an e-commerce site has a higher click-through rate, compared to the B variant. As such, hypothesis testing is an important skill to master for any data scientist working with real-world data. Despite the simplicity of the question that a hypothesis test asks, the mathematical machinery needed to run a hypothesis test is full of concepts and nuances that can trip up a new data scientist – concepts such as p-values, degrees of freedom, confidence intervals, Type...

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