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The Statistics and Machine Learning with R Workshop

You're reading from  The Statistics and Machine Learning with R Workshop

Product type Book
Published in Oct 2023
Publisher Packt
ISBN-13 9781803240305
Pages 516 pages
Edition 1st Edition
Languages
Author (1):
Liu Peng Liu Peng
Profile icon Liu Peng

Table of Contents (20) Chapters

Preface 1. Part 1:Statistics Essentials
2. Chapter 1: Getting Started with R 3. Chapter 2: Data Processing with dplyr 4. Chapter 3: Intermediate Data Processing 5. Chapter 4: Data Visualization with ggplot2 6. Chapter 5: Exploratory Data Analysis 7. Chapter 6: Effective Reporting with R Markdown 8. Part 2:Fundamentals of Linear Algebra and Calculus in R
9. Chapter 7: Linear Algebra in R 10. Chapter 8: Intermediate Linear Algebra in R 11. Chapter 9: Calculus in R 12. Part 3:Fundamentals of Mathematical Statistics in R
13. Chapter 10: Probability Basics 14. Chapter 11: Statistical Estimation 15. Chapter 12: Linear Regression in R 16. Chapter 13: Logistic Regression in R 17. Chapter 14: Bayesian Statistics 18. Index 19. Other Books You May Enjoy

Introducing principal component analysis

When building an ML model, the dataset that’s used to train the model may have redundant information in the predictors. The redundancy in the predictors/columns of the dataset arises from correlated features in the dataset and needs to be taken care of when using a certain class of models. In such cases, PCA is a popular technique to address such challenges as it reduces the feature dimension of the dataset and thus shrinks the redundancy. The problem of collinearity, which says that two or more predictors are linearly correlated in a model, could thus be relieved via dimension reduction using PCA.

Collinearity among the predictors is often considered a big problem when building an ML model. Using the Pearson correlation coefficient, it is a number between -1 and 1, where a coefficient near 0 indicates two variables are linearly independent, and a coefficient near -1 or 1 indicates that two variables are linearly related.

When two...

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