Equivalent Structural Equation Models: A Challenge and Responsibility

Relevant aspects of the example provided by Raykov and Marcoulides (2001) are emphasized, specifically the distinctiveness of infinitely many members of its sequence of equivalent structural equation models. This emphasis appears to be needed in light of recent statements by Markus (2002), whose intended counterexamples do not present a disconfirmation of any of the developments of Raykov and Marcoulides (2001). Issues pertaining to differentiation between equivalent models are also discussed.