第8章 因子分析课件.pptVIP

第8章因子分析例：人均要素变量因子分析。对我国32个省市自治区的要素状况作因子分析。指标体系中有如下指标：X1：人口(万人)X2：面积(万平方公里)X3：GDP(亿元)X4：人均水资源(立方米/人)X5：人均生物量(吨/人)X6：万人拥有的大学生数(人)X7：万人拥有科学家、工程师数(人)RotatedFactorPattern(旋转后的因子结构)FACTOR1FACTOR2FACTOR3X1-0.21522-0.273970.89092X20.63973-0.28739-0.28755X3-0.157910.063340.94855X40.95898-0.01501-0.07556X50.97224-0.06778-0.17535X6-0.114160.98328-0.08300X7-0.110410.97851-0.07246第8章因子分析X1=-0.21522F1-0.27397F2+0.89092F3X2=0.63973F1-0.28739F2-0.28755F3X3=-0.15791F1+0.06334F2+0.94855F3X4=0.95898F1-0.01501F2-0.07556F3X5=0.97224F1-0.06778F2-0.17535F3X6=-0.11416F1+0.98328F2-0.08300F3X7=-0.11041F1+0.97851F2-0.07246F3第8章因子分析???高载荷指标?因子命名?因子1X2:面积(万平方公里)X4:人均水资源(立方米/人)X5:人均生物量(吨/人)自然资源因子?因子2X6:万人拥有的大学生数(人)X7:万人拥有的科学家、工程师数(人)?人力资源因子?因子3?X1:人口(万人)X3:GDP(亿元)经济发展总量因子?第8章因子分析StandardizedScoringCoefficients(标准化得分系数)FACTOR1FACTOR2FACTOR3X10.05764-0.060980.50391X20.22724-0.09901-0.07713X30.146350.129570.59715X40.479200.112280.17062X50.455830.074190.10129X60.054160.486290.04099X70.057900.485620.04822F1=0.05764X1+0.22724X2+0.14635X3+0.47920X4+0.45583X5+0.05416X6+0.05790X7F2=-0.06098X1-0.09901X2+0.12957X3+0.11228X4+0.07419X5+0.48629X6+0.48562X7F3=0.50391X1-0.07713X2+0.59715X3+0.17062X4+0.10129X5+0.04099X6+0.04822X7第8章因子分析前三个因子得分地区FACTOR1FACTOR2FACTOR3北京?-0.081694.