Compared to traditional confirmatory factor analysis (CFA), exploratory structural equation modeling (ESEM) has been shown to result in less structural parameter bias when cross-loadings (CLs) are present. However, when model fit is reasonable for CFA (over ESEM), CFA should be preferred on the basis of parsimony. Using simulations, the current…

Vertical scales are widely used in educational assessment as a basis for considering grade-to-grade changes in student performance. Typically, the underlying construct is assumed to be essentially unidimensional; however, if there is a change in the measured construct across grades, this assumption may be untenable. Developing a multidimensional…

Von Davier, Naemi, and Roberts (this issue) present a nice summary of the statistical ambiguity often encountered in making distinctions between qualitative and quantitative constructs. In this commentary, the author begins with two broad points. The first is that the mixture/factor arguments are most intriguing when firmly embedded in a…