主成分与因子分析在体育教学评价应用中的统计学分析

通过文献资料、数理统计等方法，研究主成分与因子分析在体育教学应用中的现状及科学性。结果发现：主成分与因子分析在体育教学中应用较为普遍但只是机械地套用应用步骤，未能结合主成分与因子分析的基本思想及其在教学应用中可能存在的问题给予探讨。研究指出：初始数据的性质；协方差和相关矩阵导出的特征值一特征向量对；指标的个数及相关性强弱均影响主成分和因子的遴选。应用者须谨慎使用，方可提高主成分与因子分析在体育教学应用中的客观性。

On the Statistical Analysis of Fuzzy Comprehensive Evaluation in P.E. Teaching

By means of documents,the author finds out that the research of principal components and factors analysis evaluation in the teaching of Physical Education is far from being satisfactory,which only concentrates on the application of concrete steps of operation mechanically,leaving alone the problems of principal components and factors analysis evaluation in the evaluation.On the basis of the analysis of basic thoughts of principal components and factors analysis evaluation,the author first points out raw data acquisition characterize; covariance matrix and correlation matrix educed characteristic parameter and vector; the number of index and correlation impact the choice of principal components and factors. Only taking deliberate action to use,can manager improve objectivity for principal components and factors analysis in P.E. teaching.