Understanding Structural Equation Models Models Of Relationships Between Variables

The field of structural equation models (SEMs) is rapidly expanding. A researcher who wants to select and apply SEMs to their data faces several challenges: (1) They can often become extremely complex with many parameters to estimate. Small samples or those with relatively few variables often cannot support this complexity reliably leading to under-identified models poor power or unstable estimates; (2) Researchers must choose an appropriate measurement model and these choices are not often well understood in advance; (3) No single “correct” SEM exists although “better” ones do and the existence of competing plausible alternatives is often overlooked; and (4) Critical examination of model assumptions involving the linearity of parameters and the existence of influential or outlying observations is often overlooked. This book provides an overview of SEMs as a flexible skeptical and iterative scientific process. Key Features: Emphasis on multiverse analysis right-sizing statistical models to data and the generation of plausible skeptical alternatives Robust assumption checking (LOESS regression regression and SEM diagnostics) Detailed visual coverage of a variety of path diagrams their links to matrix-based specifications and data exploration using heat-map visualization and tests of dimensionality A variety of SEMs including mediational models psychometrics (e.g. parallel tau-equivalent congeneric measurement) growth curve models exploratory factor analysis multigroup categorical and exploratory structural equation modeling This text is designed for graduate students early-career researchers and advanced undergraduates who wish to move beyond plug-and-play SEMs to a deeper more philosophical and data-conscious understanding. Its careful balance of theory worked examples and emphasis on skepticism will help its audience build confidence in using SEMs flexibly and responsibly for a broad range of social and behavioral science research. |Understanding Structural Equation Models Models of Relationships Between Variables