膨胀土判别与分类的Fisher判别分析方法

介绍了数理统计中常用的判别分析方法——Fisher判别分析法，结合合（肥）－六（安）－叶（集）高速公路工程，利用SPSS软件对沿线采集土样进行了Fisher判别分析，得出了适合该地区膨胀土判别与分类的判别方程。分析表明： (1)利用Fisher判别分析法仅需几项基本物理性质指标，参数的试验操作大众化、规范化，试验条件明确、设备简单、周期短。在统计意义的基础上可以对膨胀土正确分类；(2)判别函数中，塑性指数的系数最大，说明判别函数对塑性指数值敏感，塑性指数能较好反映土的膨胀潜势；(3)利用SPSS软件进行判别分析，简易方便，分类效率高，对膨胀潜势的划分结果统计意义明显，能够为膨胀土的分类提供依据。对该判别方程进行了检验，发现其适用性好，判别分析方法在膨胀土判别与分类中有较好的应用前景。

Fisher's discriminant analysis method for identification and classification of expansive soil

A usual discriminant analysis method-Fisher’s discriminant analysis is introduced. Based on Hefei-Liu’an-Yeji Expressway Project, sampling soil’s discriminant analysis of swelling potential ultilizing the software of SPSS is conducted, discriminant equation suiting for the district is obtained; and several conclusions are drawn as follows:(1) Only several basic physical indices are acquired in the analysis, the operation of which is popularization and standardization. Lots of advantages such as easy test condition, simple facility and short periodic time can be obtained and a correct classification can be done on the basis of statistics. (2) The value of coefficient of plastic index is maximum, which means that discriminant equation is sensitive to plastic index and that plastic index can reflect swelling potential to a well extent. (3) It is easy and efficient to do discriminant analysis making use of SPSS, statistic significance of classifying is explicit and it can provide grounds for the discriminant of expansive soil. Tests for the equation are carried out and from which we can see that it has good prospect for the identification and classification of expansive soil.