标题:
砂基液化的因素筛选及预测模型The Model on Factors Selection and Prediction of Sand Liquefaction
作者:
崔栋利, 牟唯嫣
关键字:
砂基液化, 因子分析, 判别分析Sand Liquefaction, Factor Analysis, Discriminant Analysis
期刊名称:
《Statistics and Application》, Vol.4 No.4, 2015-12-30
摘要:
为降低数据维数，简化数据运算，我们采用因子分析和判别分析相结合的方法，运用方差累计贡献率在85%以上的前k个主成分代替原始砂基液化的有关因素，对砂基液化因素进行分析，这种方法并没有缩减样本量，只是对原始数据进行了浓缩和综合，通过对得到的因子得分数据进行判别分析，可得到一组判别结果。另外，利用因子分析的提取方法得到变量的共同度，变量共同度高的表示变量中的大部分信息均能够被因子所提取，选出变量共同度较高的对应的变量，利用这些变量再次进行判别分析，对两次判别分析得到的结果与原结果进行汇总对比，分析误判率。结果表明，这两种方法的结合在一定程度上用于筛选砂基液化的主要因素以及预测砂基液化可行性强，效果较好。
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.