基于Box-Cox变换的多元分层课堂教学评估模型

Multivariate Hierarchical Model for the Classroom Teaching Assessment Based on Box-Cox Transformation

对课堂教学评估问卷的数据进行Box-Cox非线性变换;对变换后的数据进行指标聚类,建立多层指标体系;在每一指标类内实施主成分分析,建立了一种基于Box-Cox变换的多元分层课堂教学评估模型.将分析结果与未作Box-Cox变换的结果进行比较.结果表明:Box-Cox变换后的主成分分析给出的指标分类意义更明显,并且能够将原始数据中无法分开的高分数据更好地加以区分.

Firstly, all questionnaire data of classroom teaching assessment is carried on the Box-Cox nonlinear transformation. Secondly, the transformed data is carried on the target cluster analysis and the multi-factor system is established. Principal component analysis is carried on in each index. The multivariate hierarchical model for the classroom teaching assessment based on Box-Cox transformation is established. Finally, the results is compared with the one that is not used the Box-Cox transformation, and the conclusion shows that the significance of index classification which is given by principal component analysis using the Box-Cox transformation is more obvious, and at the same time the higher cases which can not be seperated in original data can be seperated better.