Understanding correlation matrices
Correlation (Statistics) Statistics
SAGE Publications, Inc.
2021
EISBN 1071878611
COVER.
TITLE PAGE.
COPYRIGHT PAGE.
TABLE OF CONTENTS.
SERIES EDITOR'S INTRODUCTION.
PREFACE.
ACKNOWLEDGMENTS.
ABOUT THE AUTHORS.
CHAPTER 1 - INTRODUCTION.
CHAPTER 2 - THE MATHEMATICS OF CORRELATION MATRICES.
CHAPTER 3 - STATISTICAL HYPOTHESIS TESTING ON CORRELATION MATRICES.
CHAPTER 4 - METHODS FOR CORRELATION/COVARIANCE MATRICES AS THE INPUT DATA.
CHAPTER 5 - GRAPHING CORRELATION MATRICES.
CHAPTER 6 - THE GEOMETRY OF CORRELATION MATRICES.
CHAPTER 7 - CONCLUSION.
REFERENCES.
INDEX.
Correlation matrices (along with their unstandardized counterparts, covariance matrices) underlie the majority the statistical methods that researchers use today. A correlation matrix is more than a matrix filled with correlation coefficients. The value of one correlation in the matrix puts constraints on the values of the others, and the multivariate implications of this statement is a major theme of the volume. Alexandria Hadd and Joseph Lee Rodgers cover many features of correlations matrices including statistical hypothesis tests, their role in factor analysis and structural equation modeling, and graphical approaches. They illustrate the discussion with a wide range of lively examples including correlations between intelligence measured at different ages through adolescence; correlations between country characteristics such as public health expenditures, health life expectancy, and adult mortality; correlations between well-being and state-level vital statistics; correlations between the racial composition of cities and professional sports teams; and correlations between childbearing intentions and childbearing outcomes over the reproductive life course. This volume may be used effectively across a number of disciplines in both undergraduate and graduate statistics classrooms, and also in the research laboratory.
TITLE PAGE.
COPYRIGHT PAGE.
TABLE OF CONTENTS.
SERIES EDITOR'S INTRODUCTION.
PREFACE.
ACKNOWLEDGMENTS.
ABOUT THE AUTHORS.
CHAPTER 1 - INTRODUCTION.
CHAPTER 2 - THE MATHEMATICS OF CORRELATION MATRICES.
CHAPTER 3 - STATISTICAL HYPOTHESIS TESTING ON CORRELATION MATRICES.
CHAPTER 4 - METHODS FOR CORRELATION/COVARIANCE MATRICES AS THE INPUT DATA.
CHAPTER 5 - GRAPHING CORRELATION MATRICES.
CHAPTER 6 - THE GEOMETRY OF CORRELATION MATRICES.
CHAPTER 7 - CONCLUSION.
REFERENCES.
INDEX.
Correlation matrices (along with their unstandardized counterparts, covariance matrices) underlie the majority the statistical methods that researchers use today. A correlation matrix is more than a matrix filled with correlation coefficients. The value of one correlation in the matrix puts constraints on the values of the others, and the multivariate implications of this statement is a major theme of the volume. Alexandria Hadd and Joseph Lee Rodgers cover many features of correlations matrices including statistical hypothesis tests, their role in factor analysis and structural equation modeling, and graphical approaches. They illustrate the discussion with a wide range of lively examples including correlations between intelligence measured at different ages through adolescence; correlations between country characteristics such as public health expenditures, health life expectancy, and adult mortality; correlations between well-being and state-level vital statistics; correlations between the racial composition of cities and professional sports teams; and correlations between childbearing intentions and childbearing outcomes over the reproductive life course. This volume may be used effectively across a number of disciplines in both undergraduate and graduate statistics classrooms, and also in the research laboratory.
