TY - BOOK AU - Chattamvelli,Rajan ED - SpringerLink (Online service) TI - Correlation in Engineering and the Applied Sciences: Applications in R T2 - Synthesis Lectures on Mathematics & Statistics, SN - 9783031510151 AV - QA276-280 PY - 2024/// CY - Cham PB - Springer Nature Switzerland, Imprint: Springer KW - Statistics  KW - Statistics KW - Multivariate analysis KW - Measure theory KW - Quantitative research KW - Mathematical statistics KW - Applied Statistics KW - Statistical Theory and Methods KW - Multivariate Analysis KW - Measure and Integration KW - Data Analysis and Big Data KW - Mathematical Statistics N1 - Measures of Association -- Pearson’s Correlation -- Rank Correlation -- Distribution of Correlation -- Applications of Correlation N2 - 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 UR - https://doi.org/10.1007/978-3-031-51015-1 ER -