Direction Dependence in Statistical Modeling (eBook)

WOLFGANG WIEDERMANN is Associate Professor at the University of Missouri-Columbia. He received his Ph.D. in Quantitative Psychology from the University of Klagenfurt, Austria. His primary research interests include the development of methods for causal inference, methods to determine the causal direction of dependence in observational data, and methods for person-oriented research settings. He has edited books on advances in statistical methods for causal inference (with von Eye, Wiley) and new developments in statistical methods for dependent data analysis in the social and behavioral sciences (with Stemmler and von Eye). DAEYOUNG KIM is Associate Professor of Mathematics and Statistics at the University of Massachusetts, Amherst. He received his Ph.D. from the Pennsylvania State University in Statistics. His original research interests were in likelihood inference in finite mixture modelling including empirical identifiability and multimodality, development of geometric and computational methods to delineate multidimensional inference functions, and likelihood inference in incompletely observed categorical data, followed by a focus on the analysis of asymmetric association in multivariate data using (sub)copula regression. ENGIN A. SUNGUR has a B.A. in City and Regional Planning (Middle East Technical University, METU, Turkey), M.S. in Applied Statistics, METU, M.S. in Statistics (Carnegie-Mellon University, CMU) and Ph.D. in Statistics (CMU). He taught at Carnegie-Mellon University, University of Pittsburg, Middle East Technical University, and University of Iowa. Currently, he is a Morse-Alumni distinguished professor of statistics at University of Minnesota Morris. He is teaching statistics for more than 38 years, 29 years of which is at the University of Minnesota Morris. His research areas are dependence modeling with emphasis on directional dependence, modern multivariate statistics, extreme value theory, and statistical education. ALEXANDER VON EYE is Professor Emeritus of Psychology at Michigan State University (MSU). He received his Ph.D. in Psychology from the University of Trier, Germany. He received his accreditation as Professional Statistician from the American Statistical Association (PSTATTM). His research focuses (1) on the development and testing of statistical methods for the analysis of categorical and longitudinal data, and for the analysis of direction dependence hypotheses. In addition (2), he is member of a research team at MSU (with Bogat, Levendosky, and Lonstein) that investigates the effects of violence on women and their newborn children. His third area of interest (3) concerns theoretical developments and applied analysis of person-orientation in empirical research.

ABOUT THE EDITORS

NOTES ON CONTRIBUTORS

ACKNOWLEDGMENTS

PREFACE

PART I: FUNDAMENTAL CONCEPTS OF DIRECTION DEPENDENCE

1. From Correlation to Direction Dependence Analysis: 1888-2018

Yadolah Dodge and Valentin Rousson

2. Direction Dependence Analysis: Statistical Foundations and Applications

Wolfgang Wiedermann, Xintong Li, and Alexander von Eye

3. The Use of Copulas for Directional Dependence Modeling

Engin Sungur

PART II: DIRECTION DEPENDENCE IN CONTINUOUS VARIABLES

4. Asymmetry Properties of the Partial Correlation Coefficient: Foundations for Covariate-Adjustment in Distribution-based Direction Dependence Analysis

Wolfgang Wiedermann

5. Recent Advances in Semi-Parametric Methods for Causal Discovery

Shohei Shimizu and Patrick Blöbaum

6. Assumption Checking for Directional Causality Analyses

Phillip K. Wood

7. Complete Dependence: A survey

Santi Tasena

PART III: DIRECTION DEPENDENCE IN CATEGORICAL VARIABLES

8. Locating Direction Dependence using Log-Linear Modeling, Configural Frequency Analysis, and Prediction Analysis

Alexander von Eye and Wolfgang Wiedermann

9. Recent Development on Asymmetric Association Measures for Contingency Tables

Xiaonan Zhu, Zheng Wei and Tonghui Wang

10. Analysis of asymmetric dependence for three-way contingency tables using the subcopula approach

Daeyoung Kim and Zheng Wei

PART IV: APPLICATIONS AND SOFTWARE

11. Distribution-based Causal Inference: A Review and Practical Guidance for Epidemiologists

Tom Rosenström and Regina García-Velázquez

12. Determining causality in relation to early risk factors for ADHD: The case of breastfeeding duration

Joel T. Nigg, Diane D. Stadler, Alexander von Eye and Wolfgang Wiedermann

13. Direction of Effect between Intimate Partner Violence and Mood Lability: A Granger Causality Model

G. Anne Bogat, Alytia A. Levendosky, Jade Kobayashi and Alexander von Eye

14. On the Causal Relation of Academic Achievement and Intrinsic Motivation: An Application of Direction Dependence Analysis using SPSS Custom Dialogs

Xintong Li and Wolfgang Wiedermann

Index