Abstract
The study of this theoretical problem enables sparse or dense functional data, including educational information evaluation data. The choice of different weights is subjected to principal component analysis. The evaluation of music education informatization level mainly evaluates the status quo of music education informatization development, provides a basis for formulating and adjusting music education informatization development policies, and provides support for educational decision-making, to promote the sustainable and balanced development of music education informatization. The evaluation of music education informatization has become the key promotion work of music education informatization at this stage. This paper studies the convergence rate of functional principal components based on the local linear method under general weighting conditions. First, we introduce the related research on the estimation of mean and covariance function under general weighting. Secondly, for principal functional components under general weighting, namely, eigenvalues and eigen functions, the text gives the corresponding estimated values and derives its strong uniform convergence rate. Finally, the convergence rate was verified by simulation research. The estimation methods and conclusions of this article enrich the research of functional linear regression models and will help analyze the complex and changeable problems encountered in the application of music education information.
Highlights
Incorporate education informatization into the overall national informatization development strategy, and deploy educational information networks in advance [2]
From the review results of the research status of the empirical evaluation framework and indicator system of education informatization, the empirical evaluation of the education informatization level involves multiple indicator variables, and its evaluation and measurement must be determined and evaluated by means of comprehensive statistical analysis methods and models [8]. e index weight is calculated using a certain calculation method, and the education informatization level is comprehensively calculated according to the index weight. e education information evaluation models that have been put forward mainly include the Kaufman fivelevel evaluation model, the CIRO evaluation model, the CIPP evaluation model, the Phillips five-level return on investment model, and the CSE evaluation model [9]
Factor analysis is a common analytical method to test the validity of the facet. rough exploratory factor analysis, on the one hand, the facet validity of the questionnaire can be tested; on the other hand, the common factors of the observed variables can be clustered to achieve the purpose of compressing variables [26,27,28,29]. e factor analysis method first needs to determine the questionnaire items for the KMO test and Bartlett sphere test
Summary
From the review results of the research status of the empirical evaluation framework and indicator system of education informatization, the empirical evaluation of the education informatization level involves multiple indicator variables, and its evaluation and measurement must be determined and evaluated by means of comprehensive statistical analysis methods and models [8]. e index weight is calculated using a certain calculation method, and the education informatization level is comprehensively calculated according to the index weight. e education information evaluation models that have been put forward mainly include the Kaufman fivelevel evaluation model, the CIRO evaluation model, the CIPP evaluation model, the Phillips five-level return on investment model, and the CSE evaluation model [9]. Voet et al used the method of discussing and determining the evaluation index weight of students, teachers, and parents of different levels of schools by experts and applied the combined matrix analysis method to measure and compare the level of education informatization [11]. Domestic and foreign research institutions, experts, and scholars have discussed and proposed informatization evaluation index systems or scales from different angles Some of these evaluation tools are created using corresponding evaluation methods, and some are established based on corresponding evaluation models. E school informatization application evaluation model is based on the original CIPP evaluation model and combined with the characteristics of education informatization These evaluation models are suitable for evaluation in the field of education informatization, the evaluation of the development level of education informatization is not a true evaluation of education informatization, and there is a lack of attribution analysis of performance development and corresponding path optimization strategies. It is necessary to create a scientific and reasonable performance evaluation model in the field of music education informatization and create corresponding performance evaluation tools
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