This paper observes the relationship between variables that cannot be explained through the structure of variable explanatory variance-covariance and explores the method of applying the theoretical model of principal component analysis and factor analysis by using the method of hypothesis. After studying the scope of application of the principal component analysis method and factor analysis method, both of which can be used in the general model of comprehensive evaluation of variables, the scientific management approach of planned behavior for student management in the classroom of college and university civic education is proposed. By empirically analyzing the Civics learning management and education evaluation of students and teachers in L colleges and universities, the experimental results show that the cumulative contribution rate of the three principal components, namely, high moral character, perfect personality and good communication, is 87.4% as the main observed variables. In the cluster analysis of the Civics performance, the best Civics performance was found in the category 2 and category 1 students in college L, with a total of 9 students conforming to it. The four principal component factors of the first-ranked teachers did not differ much, respectively 1.6485, 0.4653, 1.7463, −0.645, except for the teacher numbered 1, who had a big difference in the ranking place under the two evaluation methods, and the rest of the teachers did not have any difference, and on the whole, the quality of Civic and Political education in College L was better, and the harmonization with the student management was good.