In the previous chapter we learned about comparing samples or groups using structural equation modeling applications. In this chapter we present additional applications that expand our understanding of SEM models, but now related to measurement models. Please be aware that our discussion will only scratch the surface of the many exciting new developments in structural equation modeling related to measurement models. Some of these new applications have been included in chapters of books (Marcoulides & Schumacker, 1996; Marcoulides & Schumacker, 2001; and Schumacker & Marcoulides, 1998) and journal articles. In addition, the newest version of LISREL has included these capabilities with software examples and further explanations. Our intention is to provide a basic understanding of these topics to further your interest in the structural equation modeling approach. We have included computer program examples to better illustrate each type of SEM model.