因子分析作业

将15组数据带入spss进行信赖度分析，得出信赖度分析表。 根据以下分析得出，信赖度系数为0.778，因此数据可信。

Reliability Statistics Cronbach's Alpha .778 N of Items 18 二、因子分析 数据表中选取了十五个数据，分别是：食品，衣着，家庭设备及用品，国有经济，集体经济，城镇经济，农村经济，个体经济，出口总值，一般贸易，来料加工，进料加工，其他贸易。 假设：

利用SPSS中因子分析来提取公共因子，分析衡量发展因素的指标得出下表。

从KMO and Bartlett's Test表中得出，KMO值为0.779，表示适合做因子分析。Bartlett球形度检验的原假设为相关系数矩阵是单位阵，sig值为0.00远小于95%有益水准的sig值0.05，因此拒绝原假设，说明变量之间存在相关关系，适合做因子分析。

KMO and Bartlett's Test Kaiser-Meyer-Olkin Measure of Sampling Adequacy. Bartlett's Test of Sphericity Approx. Chi-Square df Sig. .779 1.788E3 105 .000

根据Rotated Component Matrixa可以得出旋转后的因子载荷值，其中旋转方法采用的是Kaiser标准化的正交旋转法。通过因子旋转，各个因子有了比较明确的含义。

Rotated Component Matrix a xiaofei shipin yizhuo juzhu jiatingyongpin guoyoujingji jitijingji chengzhen 1 .561 .458 .557 .673 .637 .525 .380 .828 Component 2 .661 .755 .698 .600 .677 .647 .657 .438 3 .495 .448 .431 .418 .358 .535 .537 .310 getijingji nongcun chukouzongzhi yibanmaoyi lailiaojiagong jinliaojiagong qitamaoyi .859 .811 .521 .608 .240 .413 .535 .360 .304 .486 .484 .641 .462 .320 .361 .448 .700 .624 .706 .783 .769 Extraction Method: Principal Component Analysis. Rotation Method: Varimax with Kaiser Normalization. a. Rotation converged in 13 iterations.

经分析得出下表

Rotated Component Matrix(a)Component123xiaofei0.5610.6610.495shipin0.4580.7550.448yizhuo0.5570.6980.431juzhu0.6730.60.418jiatingyong0.6370.6770.358guoyoujingj0.5250.6470.535jitijingji0.380.6570.537chengzhen0.8280.4380.31getijingji0.8590.360.361nongcun0.8110.3040.448chukouzongz0.5210.4860.7yibanmaoyi0.6080.4840.624lailiaojiag0.240.6410.706jinliaojiag0.4130.4620.783qitamaoyi0.5350.320.769Extraction Method: Principal Component Analysis. Rotation Method: Varimax with Kaiser Normalization.a. Rotation converged in 13 iterations. 分析后第一个因子是消费，第二个因子是投资，第三个因子是进出口。经转换后得到具体的因子数

三、对数据整理后，进行妥当性分析

对消费因子信赖度分析 Reliability Statistics Cronbach's Alpha .789 N of Items 3

对投资因子的信赖度分析 Reliability Statistics Cronbach's Alpha .807 N of Items 3

对进出口因子信赖度的分析 Reliability Statistics Cronbach's Alpha .801 N of Items 5 综上得出

Rotated Component Matrix(a)Component投资因子消费因子进出口因子信赖度值shipin0.4580.7550.448yizhuo0.5570.6980.431jiatingyong0.6370.6770.3580.789chengzhen0.8280.4380.310.807getijingji0.8590.360.361nongcun0.8110.3040.448chukouzongz0.5210.4860.70.801yibanmaoyi0.6080.4840.624lailiaojiag0.240.6410.706jinliaojiag0.4130.4620.783qitamaoyi0.5350.320.769Extraction Method: Principal Component Analysis. Rotation Method: Varimax with Kaiser Normalization.a. Rotation converged in 13 iterations.