Covariance structure modeling (CSM) is increasingly being utilized in stres
s research. For this reason, a methodological review was undertaken to asse
ss how well applied researchers have recognized the shortcomings and recomm
endations commonly espoused in the mathematical and statistical CSM literat
ure. In reviewing a broad cross section of research (n = 50), many problems
were noted. For example, data sets were rarely checked for nonnormality ev
en though conventional CSM estimation procedures (e.g., maximum likelihood)
are based on the assumption that the data come from a multivariate normal
distribution, equivalent models were neither evaluated nor even acknowledge
d, and the majority of favored models were modified based on empirical rath
er than theoretical considerations. The results suggest that applied stress
researchers have inadequate knowledge of the technical CSM literature, whi
ch has potential ramifications for theory development.