Correlation in Engineering and the Applied Sciences: Applications in R (Synthesis Lectures on Mathematics & Statistics) - Softcover

Chattamvelli, Rajan

Softcover

ISBN 10: 3031510178 ISBN 13: 9783031510175

Publisher: Springer, 2025

Synopsis

This book focuses on correlation coefficients and its applications in applied science fields. The book begins by describing the historical development and various types of correlations.  Rank correlation methods including Pearson’s, Spearman’s, and Kendall’s correlation are discussed at length. The book also discusses sampling distribution of correlation coefficients and applications of correlations in various fields. The book presents novel topics such as (i) a quick analytical method to approximate Pearson's correlation, (ii) single-variable correlation, (iii) fractional co-skewness and co-kurtosis, and (iv) the fallacy on correlation between the sample mean and sample variance.  This book is ideal for courses on mathematical statistics, engineering statistics, and exploratory data analysis and is primarily aimed at upper-undergraduate and graduate level students.  The book is also useful for researchers and professionals in various fields who are interested in data analysis.

About this title

About the Author

Rajan Chattamvelli, Ph.D., is a Professor in the School of Computer Science and Engineering at Amrita University, India.  He has published more than 20 research articles in international journals, and his research interests include computational statistics, design of algorithms, parallel computing, data mining, machine learning, blockchain, combinatorics, and big data analytics.

From the Back Cover

This book focuses on correlation coefficients and its applications in applied science fields. The book begins by describing the historical development and various types of correlations.  Rank correlation methods including Pearson’s, Spearman’s, and Kendall’s correlation are discussed at length. The book also discusses sampling distribution of correlation coefficients and applications of correlations in various fields. The book presents novel topics such as (i) a quick analytical method to approximate Pearson's correlation, (ii) single-variable correlation, (iii) fractional co-skewness and co-kurtosis, and (iv) the fallacy on correlation between the sample mean and sample variance.  This book is ideal for courses on mathematical statistics, engineering statistics, and exploratory data analysis and is primarily aimed at upper-undergraduate and graduate level students.  The book is also useful for researchers and professionals in various fields who are interested in data analysis.

In addition, this book:

• Combines theory with numerical examples and includes the latest developments in the field
• Presents computer code in R software and features plentiful exercises throughout
• Features discussions on measures of association, rank correlation, and the distribution

Edition details

• Publisher: Springer
• Publication date: 2025
• Language: English
• ISBN 10: 3031510178
• ISBN 13: 9783031510175
• Binding: Paperback
• Number of pages: 195