Methods: A sample of 5th grade aggregated district-level reading comprehension (RC) scores (n = 37) in a southeastern state were used. Quantile regression allows for the estimation of coefficients for the relation between predictor(s) and the dependent variable along designated points along the conditional distribution of the dependent variable (Koenker & Hallock, 2001; Petscher, 2016). The strength of the relations of independent variables (reflecting the district-level presence of school nurses, school counselors and school social workers) to RC was estimated across 10 quantiles of RC. Quantile regression results were compared to OLS to understand the differences in estimates, conclusions, and implications of results given the choice of using a conditional means model (i.e., OLS) or a conditional tau model (i.e., quantile regression).
Results: Bivariate correlations showed weak relation between district-level factors and aggregated student RC (i.e., .16 < r < .26) with no statistically significant associations. OLS regressions of the associations of the presence of support staff with RC scores indicated no relation for school nurses, counselors, or school social workers. Quantile regression results indicated that availability of support staff were positively predictive of RC across all school districts. At the .90 and .95 quantiles of RC, the presence of school nurses was a significant predictor (β.90 = 0.21; p < .01 and β.95 = 0.25; p < .01), indicating that for districts with RC scores in the .90 and .95 quantiles, the presence of school nurses is a promotive factor for RC scores. OLS regression demonstrated no relation of school social workers RC scores. The quantile analysis indicated that for the .05 quantile of RC, school social workers within the district was a significant predictor (β = .37, p< 0.00), indicating that for districts with RC scores in the .05 quantile, the presence of school social workers was a promotive factor for RC scores.
Conclusions and Implications: Findings indicated that quantile regression analyses demonstrated nuances of district-level support staff factors associated with RC scores that OLS regression did not support. Availability of support staff, such as school social workers, was promotive of RC across quantiles, indicating that the presence of support staff matters for student learning. More importantly, the absence of school social workers is a risk factor for RC at the lower end of the distribution. Districts should consider policies that promote funding for additional support staff.