Tests for Stability in Linear Structural Equation Systems

1 March 1983

journal article
Published by Cambridge University Press (CUP) in Psychometrika

Vol. 48 (1) , 143-145
https://doi.org/10.1007/bf02314682

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.

Keywords

NONRECURSIVE MODELS
STRUCTURAL EQUATIONS
EFFECT DECOMPO- SITION.
LINEAR SYSTEM STABILITY
MATHEMATICAL MODELS
MULTIVARIATE ANALYSIS
PATH ANALYSIS
DATA ANALYSIS
LINEAR SYSTEM
MATRICES
POWER SERIES
MULTIPLE REGRESSION ANALYSIS

This publication has 2 references indexed in Scilit:

Effect Analysis in Structural Equation Models
Sociological Methods & Research, 1980
The characteristic equation of a matrix
Bulletin of the American Mathematical Society, 1928