Abstract
Interpretations regarding the effects of exogenous and endogenous variables on endogenous variables in linear structural equation systems depend upon the convergence of a matrix power series. Convergence depends upon the eigenvalues of the structural coefficient matrix. The test for convergence developed by Jöreskog and Sörbom is shown to be only sufficient, not necessary and sufficient.
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Supported in part by USPHS grants DA01070 and DA00017. The assistance of several unknown reviewers is gratefully acknowledged.
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Bentler, P.M., Freeman, E.H. Tests for stability in linear structural equation systems. Psychometrika 48, 143–145 (1983). https://doi.org/10.1007/BF02314682
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DOI: https://doi.org/10.1007/BF02314682