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Graphical Tools for Linear Structural Equation Modeling

Graphical Tools for Linear Structural Equation ModelingBryant Chen and Judea PearlUniversity of California, Los AngelesComputer Science DepartmentLos Angeles, CA, 90095-1596, USA(310) 825-3243 This paper surveys Graphical Tools developed in the past three decades that are applicable tolinear Structural Equation models (SEMs). These Tools permit researchers to answer key re-search questions by simple path-tracing rules, even for highly complex models. They includeparameter identification, causal effect identification, regressor selection, selecting instrumentalvariables, finding testable implications of a given model, identifying equivalent models andestimating counterfactual :causal effects, counterfactuals, equivalent models, goodness of fit, graphicalmodels, identification, Linear regression, misspecification testIntroductionStructural Equation Models (SEMs) are the dominant re-search paradigm in the quantitative, data-intensive behav-ioral sciences.

Graphical Tools for Linear Structural Equation Modeling Bryant Chen and Judea Pearl University of California, Los Angeles ... As we mentioned in the Introduction, the pres- ... GRAPHICAL TOOLS FOR LINEAR STRUCTURAL EQUATION MODELING 3 (a) (b) Figure 2. …

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