关键词: 主成分分析, 综合评价, 条件, 简单结构

Abstract: The principal component analysis is widely used in comprehensive evaluation, but sometimes, the results of the principal component analysis evaluation index is unreasonable and even wrong. Therefore, the construction conditions of the principal component analysis evaluation index needs to be further studied. Applying the simple structure of factor loading matrix in factor analysis method and the rationality of weighted arithmetic mean, we get the construction conditions for the principal component analysis evaluation index: the indicators are positive and standardized; the principle component loading matrix gets a better simple structure; the principle component is positive; the principle components and variables are significantly related. Also, we propose some suggestions through empirical study.

Key words: Principal Component Analysis, Comprehensive Evaluation, Conditions, Simple Structure