03605nam a22005895i 4500 978-3-031-51015-1 DE-He213 20251030111505.0 cr nn 008mamaa 240308s2024 sz | s |||| 0|eng d 9783031510151 978-3-031-51015-1 10.1007/978-3-031-51015-1 doi QA276-280 PBT bicssc MAT029000 bisacsh PBT thema Chattamvelli, Rajan. author. aut http://id.loc.gov/vocabulary/relators/aut 72609 Correlation in Engineering and the Applied Sciences [electronic resource] : Applications in R / by Rajan Chattamvelli. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XVI, 179 p. 10 illus., 8 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Synthesis Lectures on Mathematics & Statistics, 1938-1751 Measures of Association -- Pearson’s Correlation -- Rank Correlation -- Distribution of Correlation -- Applications of Correlation. 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. Statistics . 65982 Statistics. 65982 Multivariate analysis. 72610 Measure theory. 71216 Quantitative research. Mathematical statistics. 67233 Applied Statistics. 65986 Statistical Theory and Methods. 72611 Multivariate Analysis. 72612 Measure and Integration. 71219 Data Analysis and Big Data. Mathematical Statistics. 67233 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031510144 Printed edition: 9783031510168 Printed edition: 9783031510175 Synthesis Lectures on Mathematics & Statistics, 1938-1751 https://doi.org/10.1007/978-3-031-51015-1 ZDB-2-SXSC 58174 58174