Effect analysis and causation in linear structural equation models
 Michael E. Sobel
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This paper considers total and direct effects in linear structural equation models. Adopting a causal perspective that is implicit in much of the literature on the subject, the paper concludes that in many instances the effects do not admit the interpretations imparted in the literature. Drawing a distinction between concomitants and factors, the paper concludes that a concomitant has neither total nor direct effects on other variables. When a variable is a factor and one or more intervening variables are concomitants, the notion of a direct effect is not causally meaningful. Even when the notion of a direct effect is meaningful, the usual estimate of this quantity may be inappropriate. The total effect is usually interpreted as an equilibrium multiplier. In the case where there are simultaneity relations among the dependent variables in tghe model, the results in the literature for the total effects of dependent variables on other dependent variables are not equilibrium multipliers, and thus, the usual interpretation is incorrect. To remedy some of these deficiencies, a new effect, the total effect of a factorX on an outcomeY, holding a set of variablesF constant, is defined. When defined, the total and direct effects are a special case of this new effect, and the total effect of a dependent variable on a dependent variable is an equilibrium multiplier.
 Title
 Effect analysis and causation in linear structural equation models
 Journal

Psychometrika
Volume 55, Issue 3 , pp 495515
 Cover Date
 199009
 DOI
 10.1007/BF02294763
 Print ISSN
 00333123
 Online ISSN
 18600980
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Causal analysis
 covariance structure analysis
 direct effect
 indirect effect
 structural equation models
 total effect
 Industry Sectors
 Authors

 Michael E. Sobel ^{(1)}
 Author Affiliations

 1. Department of Sociology, University of Arizona, 85721, Tucson, AZ