﻿ 砂基液化的因素筛选及预测模型 The Model on Factors Selection and Prediction of Sand Liquefaction

Statistical and Application
Vol.04 No.04(2015), Article ID:16687,7 pages
10.12677/SA.2015.44035

The Model on Factors Selection and Prediction of Sand Liquefaction

Dongli Cui, Weiyan Mu

School of Science, Beijing University of Civil Engineering and Architecture, Beijing

Received: Dec. 10th, 2015; accepted: Dec. 27th, 2015; published: Dec. 30th, 2015

ABSTRACT

In order to reduce data dimension, simplify data operation, we adopted the method combining the factor analysis and discriminant analysis, and applied the cumulative variance contribution rate of k in front of more than 85% of the principal components instead of the original related factors of sand liquefaction to analyze, this method didn’t reduce sample size, just made the raw data enrich- ment and comprehensive, did the discriminant analysis based on the factor score data, a set of discriminant results can be obtained. In addition, the extraction methods of principle component analysis were used to get the variable joint degrees, high variable joint degrees indicated the most information can be extracted by factor, then found the corresponding variable, did the discriminant analysis using these variables again, the two discriminant analysis results were compared with the original results and analyzed the misjudgment rate. Results show that the combination of the two methods has strong feasibility in filtering the main factors of sandlique faction and the prediction of sand liquefaction to some extent, and the effect is better.

Keywords:Sand Liquefaction, Factor Analysis, Discriminant Analysis

1. 引言

2. 模型理论

2.1. 因子分析

2.2. 判别分析

2.3. 因子–判别分析

3. 模型实践

Table 1. Data of sand liquefaction

Table 2. Statistics description on factors of sand liquefaction

a存在多种方式。已显示最小值。

3.1. Bartlett球形度检验

Bartlett球形度检验的原假设为相关系数矩阵为单位阵，如果Sig值小于0.05，则表示变量之间存在相关关系，由此可否定相关矩阵为单位阵的原假设 [7] ，即此可认为各变量之间存在显著的相关性，Bartlett形度检验结果表3表明，Bartlett值 = 115.053，P = 0.000，因此适合做因子分析。

3.2. 砂基液化因素的筛选及预测

Table 3. Bartlett sphericity test

Table 4. The first four characteristic value in the sequence and variance contributive rate

Table 5. The data of factor score

Table 6. Variable degree of common

Table 7. Grouping contrast of sample prediction

3.3. 结论

The Model on Factors Selection and Prediction of Sand Liquefaction[J]. 统计学与应用, 2015, 04(04): 312-318. http://dx.doi.org/10.12677/SA.2015.44035

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