Research on the Health level of higher Education based on the quantification of Entropy weight Index system

The diversity in higher education system calls for a reliable way to evaluate the health and sustainability of those systems. First of all, this paper quantifies the indicators to evaluate the health of the higher education system from three different dimensions: equity, resource access and cost-effectiveness. For the equity dimension, we designed public/private equity scores, gender equity scores and registration levels to capture different aspects of unfairness. At the same time, we use the entropy method to set the weight for each index and generate the weighted average score and equity score. In addition, we design the Wealth Equity Index (WEI) as a supplementary index. For the dimension of resource access, we use per capita accessibility index to capture the richness of higher education resources. For the cost-effective dimension, we first use a fixed-effect model to test the correlation between "output" and "input". Then we designed the average higher education output to weigh the benefits of higher education.