Statistical Methods for Mediation, Confounding and Moderation Analysis Using R and SAS

Third-variable effect refers to the effect transmitted by third-variables that intervene in the relationship between an exposure and a response variable. Differentiating between the indirect effect of individual factors from multiple third-variables is a constant problem for modern researchers. Statistical Methods for Mediation, Confounding and Moderation Analysis Using R and SAS introduces general definitions of third-variable effects that are adaptable to all different types of response (categorical or continuous), exposure, or third-variables. Using this method, multiple third- variables of different types can be considered simultaneously, and the indirect effect carried by individual third-variables can be separated from the total effect. Readers of all disciplines familiar with introductory statistics will find this a valuable resource for analysis. Key Features: Parametric and nonparametric method in third variable analysis Multivariate and Multiple third-variable effect analysis Multilevel mediation/confounding analysis Third-variable effect analysis with high-dimensional data Moderation/Interaction effect analysis within the third-variable analysis R packages and SAS macros to implement methods proposed in the book

1 Introduction  2 A Review of Third-Variable Effect Inferences  3 Advanced Statistical Modeling and Machine Learning Methods Used in the Book  4 The General Third-Variable Effect Analysis Method  5 The Implementation of General Third-Variable Effect Analysis Method  6 Assumptions for the General Third-Variable Analysis  7 Multiple Exposures and Multivariate Responses  8 Regularized Third-Variable Effect Analysis for High-Dimensional Dataset  9 Interaction/Moderation Analysis with Third-Variable Effects  10 Third-Variable Effect Analysis with Multilevel Additive Models  11 Bayesian Third-Variable Effect Analysis  12 Other Issues

Qingzhao Yu is Professor in Biostatistics, Louisiana State University Health Sciences Center. Bin Li is Associate Professor in Statistics, Louisiana State University.