The equal odds baseline is a parsimonious model that describes the relationship between quantity and quality of output in scientific creativity. Specifically, it is posited that quality is a linear function of quantity, and therefore, strong positive correlations between these two variables are expected. Strong positive correlations also play a crucial role in a recurring issue in divergent thinking research: the fluency contamination effect. This effect refers to the problem that any other summative scoring of divergent thinking tests such as the number of original responses (i.e., quality of responses) is confounded by fluency (i.e., quantity of responses). The current work sheds further light into the conceptual overlap between the equal odds baseline, and the fluency contamination effect by demonstrating that a recent formalization of the fluency contamination effect can be used to derive the equal odds baseline. This result is then utilized within a structural equation modeling approach with simulated datasets to thoroughly examine the equal odds baseline. The findings of the structural equation modeling approach are discussed with respect to their potential to better understand the relationship between quantity and quality of productions in creativity research.