因子分析作业

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1、今有20个盐泉,盐泉的水化学特征系数值见下表,试对盐泉水化学分析资料作因子分析。X1X2X3X4X5X6X7111.8350.4814.3625.2125.210.810.98245.5960.52613.8524.0426.010.910.9633.5250.08624.4049.311.36.820.8543.6810.3713.5725.1226.00.821.01548.2870.38614.525.923.322.180.93617.9560.289.7517.0537.20.4640.9877.370.50613.634.2810.698.80.5684.2230.343.87.1

2、88.21.110.9796.4420.194.79.173.20.741.031016.2340.393.15.4121.50.421.01110.5850.422.44.7135.60.870.981223.5350.232.64.6151.80.311.02135.3980.122.86.2111.21.141.0714283.1490.1481.7632.968215.860.140.9815316.6040.3171.4532.432263.410.2490.9816307.310.1731.6272.729235.70.2140.9917322.5150.3121.3822.322

3、82.210.0241.0018254.580.2970.8991.476410.30.2390.9319304.0920.2830.7891.357438.360.1931.0120202.4460.0420.7411.266309.770.290.99Component Matrix(a) Component12X1-.715.564X2.413-.134X3.910-.065X4.945.048X5-.836.467X6.826.497X7-.681-.664Extraction Method: Principal Component Analysis.a 2 components ex

4、tracted. Component Transformation MatrixComponent121.755.6562-.656.755Extraction Method: Principal Component Analysis. Rotation Method: Varimax with Kaiser Normalization.因子载荷:X1=-0.715f1+0.564f2X2=0.413 f1-0.134 f2X3=0.910 f1-0.065 f2X4=0.945 f1+0.048 f2X5=-0.836 f1+0.467 f2X6=0.826 f1+0.497 f2X7=-0

5、.681 f1-0.664 f2Rotated Component Matrix(a) Component12X1-.909-.044X2.400.169X3.729.548X4.682.656X5-.937-.196X6.297.917X7-.078-.948Extraction Method: Principal Component Analysis. Rotation Method: Varimax with Kaiser Normalization.a Rotation converged in 3 iterations. 因子得分F1=-0.909X1+0.400X2+0.729X3

6、+0。682X4-0.937X5+0.297X6-0.078X7F2=-0.044X1-0.169X2-0.548X3+0.656X4-0.196 X5+0.917X6-0.948X7Total Variance ExplainedComponentInitial EigenvaluesExtraction Sums of Squared LoadingsRotation Sums of Squared LoadingsTotal% of VarianceCumulative %Total% of VarianceCumulative %Total% of VarianceCumulative

7、 %14.24760.67160.6714.24760.67160.6712.95642.23042.23021.24917.83978.5101.24917.83978.5102.54036.28078.5103.92013.14491.653 4.4386.25297.905 5.1151.63699.541 6.031.44999.990 7.001.010100.000 Extraction Method: Principal Component Analysis.Component Transformation MatrixComponent121.755.6562-.656.755Extraction Method: Principal Component Analysis. Rotation Method: Varimax with Kaiser Normalization.

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