统计研究

本文应用因子分析模型L及其解,求出了经典因子分析模型中公因子载荷、公因子、特殊因子的精确解,解决了经典因子分析模型和理论存在的9个问题,进一步,指出了经典因子分析模型及其解根本的局限性问题:公因子解没有排除观测误差的干扰,不能达到降维的目的等。而理论和实证上,因子分析模型L及其解解决了这些问题,即因子分析模型L及其解是更好的,其为因子分析正确模型、理论和方法的使用,为因子分析法的发展建立了精确解的理论基础。同时,本文给出了因子分析法的应用建议,提出了需要进一步研究的一些相关问题。

In many fields,such as society,economy,business and physical science,factor analysis models is applied in the multi-index system of these fields,but factor analysis models and theory is not complete,which cumbers the application and development of factor analysis.This paper uses standardization,factor sorting,special factor and special component to prove that factor analysis models is equivalent to factor analysis models L,and what's more,gives the precise solutions of factor analysis models.In this paper,the author resolves the nine shortcomings of factor analysis and establishes the theory base for the application and development of factor analysis methods.