chapter  10
36 Pages

Inference Problems With Equivalent Models

Researchers in the social and behavioral science areas have become increasingly interested in using structural equation models (SEM) to address substantive questions. The steps a researcher typically takes in conducting SEM applications are: (a) the researcher translates the proposed theoretical processes into a path diagram; (b) the structural equations represented by the diagram are developed; (c) data are collected and the resulting covari­ ance matrix prepared; (d) the parameters in the structural equations are estimated using one of the available software packages; and (e) the re­ searcher judges the adequacy of the model, via the use of goodness-of-fit indices, by comparing the difference between the sample covariance matrix and a corresponding reproduced covariance matrix based on the parame­ ter estimates.