In this paper the binomial index of model fit is applied to four path-analytic or structural-equation models to demonstrate how this goodness-of-fit measure can be used and interpreted. In addition, the conclusions derived from the results of the binomial index of goodness of fit were compared to the statements presented by the authors of the reviewed articles regarding the goodness of fit of the models, which were based on traditional goodness-of-fit indexes. The goodness-of-fit statements derived from the binomial index of model fit were not always in agreement with the conclusions drawn from the traditional goodness-of-fit measures. The binomial index of model fit is heuristically different from the more traditional goodness-of-fit measures, and its use will provide additional information to a researcher regarding the degree to which the data support the theoretical model. (Contains 20 references.) (Author)