Book Image

Statistical Application Development with R and Python - Second Edition

Book Image

Statistical Application Development with R and Python - Second Edition

Overview of this book

Statistical Analysis involves collecting and examining data to describe the nature of data that needs to be analyzed. It helps you explore the relation of data and build models to make better decisions. This book explores statistical concepts along with R and Python, which are well integrated from the word go. Almost every concept has an R code going with it which exemplifies the strength of R and applications. The R code and programs have been further strengthened with equivalent Python programs. Thus, you will first understand the data characteristics, descriptive statistics and the exploratory attitude, which will give you firm footing of data analysis. Statistical inference will complete the technical footing of statistical methods. Regression, linear, logistic modeling, and CART, builds the essential toolkit. This will help you complete complex problems in the real world. You will begin with a brief understanding of the nature of data and end with modern and advanced statistical models like CART. Every step is taken with DATA and R code, and further enhanced by Python. The data analysis journey begins with exploratory analysis, which is more than simple, descriptive, data summaries. You will then apply linear regression modeling, and end with logistic regression, CART, and spatial statistics. By the end of this book you will be able to apply your statistical learning in major domains at work or in your projects.
Table of Contents (19 chapters)
Statistical Application Development with R and Python - Second Edition
Credits
About the Author
Acknowledgment
About the Reviewers
www.PacktPub.com
Customer Feedback
Preface
Index

Ridge regression for linear models


In the figure Regression coefficients of polynomial regression models, we saw that the magnitude of the regression coefficients increase in a drastic manner as the polynomial degree increases. The right tweaking of the linear regression model, as seen in the previous section, gives us the right results.

However, the models considered in the previous section had just one covariate and the problem of identifying the knots in the multiple regression model becomes an overtly complex issue. That is, if we have a problem where there are large numbers of covariates, there may naturally be some dependency among them, which cannot be investigated for certain reasons.

In such problems, it may happen that certain covariates dominate other covariates in terms of the magnitude of their regression coefficients, and this may mar the overall usefulness of the model. Furthermore, even in the univariate case, we have the problem that the choice of the number of knots, their...