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因子分析作业

2021-04-08 来源:年旅网
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。 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

X1 11.835 45.596 3.525 3.681 48.287 17.956 7.37 4.223 6.442 16.234 10.585 23.535 5.398 X2 0.48 0.526 0.086 0.37 0.386 0.28 0.506 0.34 0.19 0.39 0.42 0.23 0.12 X3 14.36 13.85 24.40 13.57 14.5 9.75 13.6 3.8 4.7 3.1 2.4 2.6 2.8 1.763 1.453 1.627 1.382 0.899 0.789 0.741 X4 25.21 24.04 49.3 25.12 25.9 17.05 34.28 7.1 9.1 5.4 4.7 4.6 6.2 2.968 2.432 2.729 2.32 1.476 1.357 1.266 X5 25.21 26.01 11.3 26.0 23.32 37.2 10.69 88.2 73.2 121.5 135.6 151.8 111.2 215.86 263.41 235.7 282.21 410.3 438.36 309.77 X6 0.81 0.91 6.82 0.82 2.18 0.464 8.8 1.11 0.74 0.42 0.87 0.31 1.14 0.14 0.249 0.214 0.024 0.239 0.193 0.29 X7 0.98 0.96 0.85 1.01 0.93 0.98 0.56 0.97 1.03 1.0 0.98 1.02 1.07 0.98 0.98 0.99 1.00 0.93 1.01 0.99 283.149 0.148 316.604 0.317 307.31 0.173 322.515 0.312 254.58 0.297 304.092 0.283 202.446 0.042 Component Matrix(a)

Component X1 X2 X3 X4 X5 X6 X7 1 -.715 .413 .910 .945 -.836 .826 -.681 2 .564 -.134 -.065 .048 .467 .497 -.664 Extraction Method: Principal Component Analysis. a 2 components extracted.

Component 1 2 1 .755 -.656 2 .656 .755 Component Transformation Matrix

Extraction Method: Principal Component Analysis.

因子载荷:

Rotation Method: Varimax with Kaiser Normalization.

X1=-0.715f1+0.564f2 X2=0.413 f1-0.134 f2 X3=0.910 f1-0.065 f2 X4=0.945 f1+0.048 f2 X5=-0.836 f1+0.467 f2 X6=0.826 f1+0.497 f2 X7=-0.681 f1-0.664 f2

Component X1 X2 1 -.909 .400 2 -.044 .169 Rotated Component Matrix(a)

X3 X4 X5 X6 X7

.729 .682 -.937 .297 -.078

.548 .656 -.196 .917 -.948

Extraction 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+0。682X4-0.937X5+0.297X6-0.078X7 F2=-0.044X1-0.169X2-0.548X3+0.656X4-0.196 X5+0.917X6-0.948X7

Component Plot in Rotated Space1.0X6X4X30.5Component 2X2X10.0X5-0.5X7-1.0-1.0-0.50.00.51.0Component 1

Initial Eigenvalues Component 1 2 3 4 Total 4.247 1.249 .920 .438 % of Variance 60.671 17.839 13.144 6.252 Cumulative % 60.671 78.510 91.653 97.905 Extraction Sums of Squared Loadings Total 4.247 1.249 % of Variance 60.671 17.839 Cumulative % 60.671 78.510 Total Variance Explained

RotatiTotal 2.956 2.540 5 6 7

.115 .031 .001

1.636 .449 .010

99.541 99.990 100.000

Extraction Method: Principal Component Analysis.

Scree Plot54Eigenvalue32101234567Component Number

Component 1 2

Component Transformation Matrix

1 .755 -.656

2 .656 .755

Extraction Method: Principal Component Analysis.

Rotation Method: Varimax with Kaiser Normalization.

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