A Necessary and Sufficient Identification Rule for Structural Models Estimated in Practice.

This article presents a straightforward classification system that is a necessary and sufficient condition for identification of the structural component of structural equation models of the type most commonly estimated - block-recursive models with no more than two equations per block. The technique is graphical and thus does not require actual estimation of the model in question. The article also reviews the limitations of other identification techniques, including econometric and information matrix techniques, when applied to these models.

[1]  Kwok-fai Ting,et al.  CONFIRMATORY TETRAD ANALYSIS , 1993 .

[2]  J. Jack.  Causal modeling applied to psychonomic systems simulation , 1980 .

[3]  Franklin M. Fisher,et al.  Uncorrelated Disturbances and Identifiability Criteria , 1963 .

[4]  W. R. Davis,et al.  The FC1 Rule of Identification for Confirmatory Factor Analysis , 1993 .

[5]  H. Theil.  Principles of econometrics , 1971 .

[6]  D. A. Kenny,et al.  Correlation and causality , 1979 .

[7]  E. Seneta,et al.  Path Analysis: An Exposition , 1980 .

[8]  I. Stelzl.  Changing a Causal Hypothesis without Changing the Fit: some Rules for Generating Equivalent Path Models. , 1986, Multivariate behavioral research.

[9]  S. Hershberger,et al.  A Simple Rule for Generating Equivalent Models in Covariance Structure Modeling. , 1990, Multivariate behavioral research.

[10]  D. Rindskopf,et al.  Some Theory and Applications of Confirmatory Second-Order Factor Analysis. , 1988, Multivariate behavioral research.

[11]  Roderick P. McDonald,et al.  A note on the investigation of local and global identifiability , 1982 .

[12]  R. P. McDonald,et al.  Some algebraic properties of the Reticular Action Model for moment structures. , 1984, The British journal of mathematical and statistical psychology.

[13]  J. S. Long,et al.  Testing Structural Equation Models , 1993 .

[14]  R. Lennox,et al.  Conventional wisdom on measurement: A structural equation perspective. , 1991 .

[15]  Steven A. Taylor,et al.  Measuring Service Quality: A Reexamination and Extension , 1992 .

[16]  Emery N. Castle,et al.  Identification of problems. , 1966 .

[17]  James G. Anderson.  Causal Models in Educational Research: Nonrecursive Models , 1974 .

[18]  William D. Berry.  Nonrecursive Causal Models , 1984 .