Path Analysis and Path Diagrams

Steven M. Boker

Steven M. Boker

University of Notre Dame, Notre Dame, IN, USA

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John J. McArdle

John J. McArdle

The University of Virginia, Virginia, VA, USA

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This article was originally published online in 2005 in Encyclopedia of Statistics in Behavioral Science, © John Wiley & Sons, Ltd and republished in Wiley StatsRef: Statistics Reference Online, 2014.

Abstract

Path analysis refers to the calculation of moment structures within and between variables, for example, covariances or correlations, implied by a set of simultaneous linear regression equations – one type of structural equation model. Path diagrams of structural equation models offer a graphical representation with exact one-to-one mapping to the simultaneous linear regression equations. Path analysis allows one to decompose the covariance between two variables in a structural equation model into additive components, thus helping to understand how the interrelationships between many variables in a model predict the covariance between two selected variables. By performing path analysis calculations on all variables and pairs of variables in a model, one may calculate the expected moment structure implied by that model. Path analysis preceded and led to the development of modern structural equation modeling methods of parameter estimation.

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