Research on comprehensive evaluation & development of aesthetic education based on PCA and CEM model.

Aesthetic education, conveyed through public art courses, serves as a vital form of humanistic literacy education. It represents an effective approach to fostering innovative and creative thinking among college students. In order to effectively analyze the aesthetic education work of 46 universities, an aesthetic education index evaluation system is constructed, involving indicators including faculty strength, curriculum setting, teaching management, artistic practice, and teaching support. The secondary indicators corresponding to the five indicators are statistically analyzed, and a comprehensive evaluation analysis of the current development status of aesthetic education in 46 universities in Anhui Province is conducted by combining theoretical analysis with empirical analysis. Based on principal component analysis, an integrated evaluation model for the development of aesthetic education in universities in Anhui Province is further constructed. The model designed quantifies the influence weight of each aesthetic education index on the development of aesthetic education in Anhui Province, and forges a theoretical basis for determining the precursors of rapid development of aesthetic education in Anhui Province. Additionally, a novel approach is introduced to gauge the progression of aesthetic education within universities in Anhui Province, considering the dispersion of aesthetic education index data across the province. The comprehensive evaluation model for the development of aesthetic education in Anhui Province exhibits an overall declining trend. Hence, it is suggested to utilize the maximum value of the first derivative of the comprehensive evaluation model as an indicator of the imminent rapid development of aesthetic education in Anhui Province. On this basis, the probability equation of sustainable development of aesthetic education in Anhui Province is defined. Overall, the research results lay a theoretical foundation for the development of aesthetic education in Anhui Province.