In our previous blog post, we introduced the concept of using location quotient (LQ) scores, which serve as a measure of demographic similarity of faculty to students, as a predictor of six-year graduation rates within race/ethnicity groups. In general, we saw that a higher representation of Black or African American faculty when compared to student representation on campus is positively correlated with higher graduation rates for Black or African American students. In this post, we further explore data for Black or African American students/faculty to see whether the same patterns found in the overall data exist within institutional types as defined by Carnegie Classification groups. There is also a discussion of other factors which contribute to successful student outcomes in addition to the student-faculty similarity index.
By way of review, the LQ scores on the x-axis in the two visualizations below show how closely the representation of Black or African American faculty at a campus mirrors that of the student body. An LQ score of 1.0 represents a perfect match, with LQ scores below 1.0 showing underrepresentation of faculty, while scores above 1.0 show overrepresentation of faculty. Almost 90-percent of the public universities in the IPEDS dataset have LQ scores below 1.0. In the two visualizations below, the size of each mark is based on the total undergraduate enrollment in fall 2019. The color-coding scheme is associated with the institutional levels in the Carnegie Classification system. The vertical line at the 1.0 mark on the x-axis shows where there is a perfect match between demographic representation of students and faculty. The lines running left-to-right across the scatterplot shows the relationship between LQ Score and Graduation Rate for African American students. Texas universities are labeled for easier identification.
The use of LQ scores provides a succinct way to compare demographic similarity between faculty and students across institutional types and contexts. However, as with any univariate analysis, there are limitations, especially when viewing an outcome as complex as graduating from college. In order to better understand the influence of demographic similarity in the context of other variables, we conducted a series of regression analyses that allowed us to estimate the effects of input variables on graduation rates for African American students, including institutional selectivity, level of preparation, underrepresented minority representation, percentage of Pell recipients, institutional resources for instruction, along with LQ Score.
When taking all of these variables into account, including the hierarchical structure of universities being nested within Carnegie Classification groups, demographic similarity has a positive influence on graduation rates for Black or African American students, but the effect was not at a level of significance. Other variables, such as institutional selectivity, student preparedness, and Pell status had greater effects on graduation outcomes for African American students at public universities in the US.
The regression analysis also serves as a way to measure where institutions are “predicted” to be in terms of 6-year graduation rates based on the combination of inputs in the statistical model. For the public universities with graduation rate data for African American students in the IPEDS dataset, the visualization below shows one example of how we could compare the “predicted” (gray box) graduation rate with the actual or “observed” (blue box) graduation rate at each institution.