Abstract

There are very few studies devoted to model equivalence in Covariance Structure Modeling. The present study introduces JID approach, in deriving equivalent models to a given model JID approach is based on the property of a just-identified block in a covariance structure model. As long as the just-identification is maintained in a block, the block can be modified in a number of ways to derive equivalent models. This is the logic of JID approach. The JID approach explains much of Lee and Hershberger's (1990) replacing rule and is applicable even to nonrecursive block and measurement model.