ISSN: 2782-893X
eISSN: 2799-0664
ISSN: 2782- 893X
— This study develops a mathematical model to analyze how the Cities and Municipalities’ Competitive Index (CMCI) affects public and private school enrollments, utilizing quantile regression analysis. The findings reveal significant heterogeneity in the impact of CMCI across different school types and enrollment levels. At the lower and median quantiles (10th and 50th percentiles), CMCI does not significantly influence private school enrollment, with coefficients of 1,150.10 (p = 0.76446) and 2,920.70 (p = 0.72549), indicating limited effect at these levels. However, at the 90th percentile, the influence becomes statistically significant, with a coefficient of 16,747.09 (p = 0.02347), suggesting that socioeconomic factors captured by CMCI are more impactful when private school enrollments are high. Conversely, public school enrollment remains unaffected across all quantiles, implying lower sensitivity to socioeconomic changes. These results highlight the structural differences between private and public institutions, emphasizing the need for targeted policies that address disparities. Private schools exhibit greater responsiveness during high enrollment periods, while public institutions appear more resilient. Policymakers should focus on equitable funding, resource support, and policies that enhance the adaptability of public schools. Encouraging collaboration between sectors and implementing continuous evaluation mechanisms can further strengthen the education system’s responsiveness. Overall, understanding the differential impact of socioeconomic indices like CMCI is vital for designing inclusive and resilient education policies that adapt to economic fluctuations. Keywords — CMCI (Cities and Municipalities Competitive Index), school enrollment, public schools, private schools, quantile regression, socioeconomic impact, education policy, resource allocation, structural disparities, responsiveness