多元统计分析(期末试题)聚类分析主成分分析因子分析.pdf

2011-2012学年第一学期多元统计分析上机考试试卷班级：金融工程2009 级学号：2009310283 姓名：田睿电脑序号：考试说明：1、打开本试卷的WORD 文件后，首先将本 WORD 文档“另存”，将文件名设为你的“学号+姓名”（注意，学号在前），并在本试卷中再次填好班级、姓名、学号、电脑序号，再根据题目要求将必要的结果复制到本文件中并进行必要的分析。考试结束时，提交该WORD 文档，请不要提交SPSS的结果文件。2、考试时间120 分钟，16:00 18:00。考试结束后，将本试卷上传至ftp:/（用户名和密码：mengjie2010）的“多元统计期末考试提交”子目录。注意，请务必到教师工作台向监考教师确认你的试卷已经上传成功后，再离开教室。上机操作题：1、（32 分）为了从1 张心电图的5 项不同指标（X1X5）中找出区分健康人（group=1）、硬化症患者（group=2）和冠心病患者（group=3）这 3 类人的方法，对3 类人分别取容量为 n1=11、n2=7、n3=5 的 3 个样本，原始数据见表1。请对此案例进行判别分析，并回答以下问题：（1）简述 Fisher 判别分析的基本原理。（2）本题中，请分析三组人群在各项指标的取值上是否有显著差异。（显著性水平取0.1）（3）请写出贝叶斯判别函数的表达式。（先验概率按各组的样本容量比重确定）（4）请写出未标准化的Fisher 判别函数的表达式。（5）分析三组人群被错判的情况。（6）画出表示三组人群的两个Fisher 判别式得分的散点图，用不同颜色的符号区别表示不同的人群。（7）新测得某人的5 项指标值为（9.11，231.99，12.62，5.73，6.49），请给出其贝叶斯判别的后验概率值，以及Fisher 判别函数的得分值，则他属于哪类？（8）贝叶斯判别方法的判别准则并不唯一，请说明在SPSS软件中，所输出的Bayes 判别函数的结果是在怎样的假设条件以及准则下计算得到的。答：1.Fisher 判别分析的基本原理是：通过投影，用 p 维变量的少数几个线性组合（即判别函数），来代替原始的p 维变量，以达到降维的目的，再根据样品在这些判别函数上的取值，对样品的归属做出判别。2.由 SPSS输出表格：组均值的均等性的检验Wilks 的 Lambda F df1 df2 Sig.X1.853 1.729 2 20.203 X2.598 6.713 2 20.006 X3.773 2.939 2 20.076 X4.751 3.310 2 20.057 X5.701 4.272 2 20.029 看各个总体在均值等指标上除了x1 均小于 0.1，说明 x2 到 x5之间有显著的差异，而 x1的检验值大于0.1，拒绝原假设，说明其总体之间指标差异不大3.由SPSS输出表格分类函数系数group 1 2 3 X1 8.005 7.446 7.284 X2-.463-.401-.434 X3.091.121.365 X4 108.180 103.481 103.183 X5 30.148 28.316 29.247(常量)-388.026-361.993-361.866 Fisher 的线性判别式函数通过上表写出 Bayes判别函数分别为：F1=-388.026+8.005x1-0.463x2+0.091x3+108.180 x4+30.148x5 F2=-361.993+7.446x1-0.401x2+0.121x3+103.481x4+28.316x5 F3=-361.866+7.284x1-0.434x2+0.365x3+103.183x4+29.247x5 4.由SPSS输出表格：典型判别式函数系数文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3函数1 2 X1.299.110 X2-.024.016 X3-.060-.137 X4 2.319.329 X5.710-.456(常量)-12.716-1.091 非标准化系数F1=-12.716+0.299x1-0.024x2-0.06x3+2.319x4+0.710 x5 F2=-1.091+0.110 x1+0.016x2-0.137x3+0.329x4-0.456x5 5.由SPSS输出表格分类结果agroup 预测组成员合计1 2 3 初始计数1 11 0 0 11 2 0 6 1 7 3 1 0 4 5%1 100.0.0.0 100.0 2.0 85.7 14.3 100.0 3 20.0.0 80.0 100.0 a.已对初始分组案例中的 91.3%个进行了正确分类。由上图可知，第一组成员全部判断正确；第二组错判为第一组的概率是14.3%；第三组错判成第一组的概率是20%6.由SPSS输出表格文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y37.某人的 5 项指标值为（9.11，231.99，12.62，5.73，6.49）将各样品的自变量值代入上述三个Bayes判别函数：F1=-388.026+8.005x1-0.463x2+0.091x3+108.180 x4+30.148x5 F2=-361.993+7.446x1-0.401x2+0.121x3+103.481x4+28.316x5 F3=-361.866+7.284x1-0.434x2+0.365x3+103.183x4+29.247x5 得到：F1=F2=F3=两个 Fisher判别函数分别为：F1=-12.716+0.299x1-0.024x2-0.06x3+2.319x4+0.710 x5 F2=-1.091+0.110 x1+0.016x2-0.137x3+0.329x4-0.456x5 F1=1.567 F2=0.9058.距离判别法虽然简单、便于使用，但是该方法也有它明显的不足之处。一，把总体等同看待，没有考虑到各总体会以不同的概率（先验概率）出现，也即判别方法与总体各自出现的概率的大小无关。第二，判别方法与错判之后所造成的损失无关，没有考虑误判之后所造成的损失的差异文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3因此，我们对研究的对象已有一定的认识，常用先验概率分布来描述这种认识，然后我们取得一个样本（即事件A），用样本来修正已有的认识（先验概率分布），得到后验概率分布，各种统计推断都通过后验概率分布来进行，将贝叶斯思想用于判别分析，就得到贝叶斯判别。2、（24 分）根据 1999 年全国 31 个省、直辖市和自治区的城镇居民家庭平均每人全年消费性支出的八个主要变量数据，见表2，变量如下：x1：食品x5：交通和通讯x2：衣着x6：娱乐教育文化服务x3：家庭设备用品及服务x7：居住x4：医疗保健x8：杂项商品和服务（1）请说明聚类分析和判别分析的根本区别。（2）本题中，分别采用系统聚类方法的最短距离法、重心法和离差平方和法对各地区作聚类分析，给出谱系图。（注意：由于变量的量纲差异，需要使用中心标准化后的变量进行建模求解。）（3）通过比较不同的方法，你认为哪种方法的结果更好。（4）根据你的选择，在相应的系统聚类谱系图上表示出划分为三类的结果。（5）对各类的特征进行解释。（6）再采用 K 均值聚类方法，给出分成三类的结果，以及各类的类重心值。答：1.判别分析和聚类分析是两种不同目的的分类方法，它们所起的作用是不同的。判别分析方法假定组（或类）已事先分好，判别新样品应归属哪一组，对组的事先划分有时也可以通过聚类分析得到。聚类分析：将分类对象分成若干类，相似的归为同一类，不相似的归为不同的类。2.最短距离法、重心法和离差平方和法作谱系图最短距离法下的谱系图*H I E R A R C H I C A L C L U S T E R A N A L Y S I S*文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3 Dendrogram using Complete Linkage Rescaled Distance Cluster Combine C A S E 0 5 10 15 20 25 Label Num +-+-+-+-+-+山西 4 -+甘肃 28 -+内蒙古 5 -+辽宁 6 -+黑龙江 8 -+-+吉林 7 -+|青海 29 -+-+宁夏 30 -+|河南 16 -+-+|陕西 27 -+-+江苏 10 -+-+|云南 25 -+|重庆 22 -+|湖北 17 -+-+|四川 23 -+-+|湖南 18 -+|+-+河北 3 -+|新疆 31 -+-+|山东 15 -+|安徽 12 -+-+|贵州 24 -+-+|+-+江西 14 -+-+|福建 13 -+-+|广西 20 -+|海南 21 -+|西藏 26 -+|天津 2 -+-+|浙江 11 -+-+|北京 1 -+-+-+上海 9 -+|广东 19 -+重心法下的谱系图*H I E R A R C H I C A L C L U S T E R A N A L Y S I S*文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3 Dendrogram using Centroid Method Rescaled Distance Cluster Combine C A S E 0 5 10 15 20 25 Label Num +-+-+-+-+-+山西 4 -+甘肃 28 -+内蒙古 5 -+辽宁 6 -+黑龙江 8 -+吉林 7 -+青海 29 -+-+宁夏 30 -+|河北 3 -+|新疆 31 -+|河南 16 -+安徽 12 -+贵州 24 -+陕西 27 -+-+湖北 17 -+|四川 23 -+-+|湖南 18 -+-+江苏 10 -+|云南 25 -+-+重庆 22 -+|山东 15 -+|+-+福建 13 -+-+|广西 20 -+|+-+江西 14 -+|+-+海南 21 -+|西藏 26 -+|天津 2 -+-+|浙江 11 -+-+|北京 1 -+-+上海 9 -+|广东 19 -+离差平方和法下的谱系图*H I E R A R C H I C A L C L U S T E R A N A L Y S I S*文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2 HC7I8Z2I4J5 ZW10U3U5J8Y3文档编码:CX10T1Y4M3J2