聚类分析-城分类

1、江苏省13个城市分类表1-1江苏省各市要素信息城市常住人口万人GDP乙元 面积平方公里第一产业比重第二产业比重第二产业比重南京771.314230.2665823.05%45.64%51.31%无锡619.574991.7247881.88%56.82%41.30%徐州868.192390.161125810.46%52.26%37.29%常州445.182519.9343853.64%56.74%39.62%苏州936.957740.2084881.85%58.75%39.41%南通713.372872.8080018.23%55.96%35.81%连玄港444.65941.13750016

2、.41%46.29%37.30%淮安481.491121.751007215.24%48.27%36.49%盐城748.181917.001697217.24%48.19%34.58%扬州449.551856.3966347.80%56.13%36.06%镇江306.941672.0838474.49%58.20%37.32%泰州466.611660.9257978.05%56.78%35.17%宿迁472.51826.85855519.30%46.30%34.39%注：数据来源为江苏统计局网站2021年各市数据，常住人口是根据2021年人口变动情况抽样调查数据推算的。一、史密斯法1.1计算根

3、据各市第二产业、第三产业所占GDP的比重，做出散点图。然后算出13个市第二、三产业比重的平均数，分别向Y轴和X轴做辅助线。分类成果如图：bW州山 林安rt 1 |J响成I/专皿巾 与州市彳衬述市募卅市A1 1牌rtf州IV擒捕巾 拥州m精江市6Q.DO%-朝口口蛤-55.0Q%-SOOOflt-48.00%-40.00%-35 DO%40 W %4S.OO%50.00%笫二产业21.2分类徐州、盐城、宿迁、连云港分为一类扬州、南通、泰州、镇江分为一类苏州、无锡、常州分为一类南京为一类1.3局限性本方法过于机械，分类精度较粗，比方徐州和其他苏北城市有一定的差异，但是还被分在同一类。二、纳尔逊法2

4、.1计算计算出江苏省13个城市三次产业的平均数和标准差。表2-1第一产业比重第二产业比重第二产业比重平均数0.09050.52790.3816标准差0.06190.05090.0445力差0.00380.00260.0020观测数1313132.2分类对每个城市分类，第一产业超过超过全省平均值一个标准差，为第一级，超出两个标准差，为第二级,以此类推。表2-2城市第一产第二产第二产业等级业等级业等级南京0-12无锡-100徐州000常州000苏州-110南通000连玄港1-10淮安100盐城100扬州000镇江010泰州000宿迁1-102.3局限性受到样本容量的限制，容易受到异常值的影响。三、

5、聚类分析将南京、无锡、徐州、常州、苏州、南通、连云港、淮安、盐城、扬州、镇江、泰州、宿迁分别表示 为：G1、G2、G3、G4、G5、G6、G7、G8、G9、G1、0G11、G12、G13。3第一步：将所有6项指标标准化。结果如下：表3-1人口标准化面积GDP标准化第-重标-产业比:准化第二产业比重标准化第三产业比重标准化G10.73710.20840.49230.06880.00001.0000G20.49620.07170.60240.00170.85280.4080G30.89090.56470.22610.49280.50500.1709G40.21940.04100.24490.102

6、60.84670.3087G51.00000.35361.00000.00001.00000.2957G60.64510.31650.29590.36560.78720.0834G70.21860.27830.01650.83440.04960.1715G80.27710.47430.04270.76730.20060.1236G90.70041.00000.15770.88140.19450.0106G100.22640.21230.14890.34150.80020.0982G110.00000.00000.12230.15130.95800.1721G120.25340.14860.12

7、060.35530.84970.0455G130.26280.35870.00001.00000.05030.0000第三步，采用最远距离法归类。可以看出G10和G12之间距离的值最小，将G10扬州和G12泰州分为一类，并划去相应的行列，下表述中不在重复，新类别类别号为G14.然后求出其中两个元素对应的其它的距离，求其中的最大值。公式为：d14=maxd1o,d12,然后依次照这种方法计算，最后归处类别。G1G2G3G4G5G6G7G8G9G10G11G12 G13G10G2 1.99950G3 2.53442.340G4 2.50430.87142.0837013*13一G5 2.68891

8、.44462.20672.11720G6 2.39711.45441.06071.30011.88680G7 2.70792.94261.96572.1313.74922.03860G8 2.95122.88381.51382.18913.53981.80760.5470.0000G9 3.15943.51261.55353.25623.76022.05821.6971.29710G10 2.83281.56641.61320.77032.50490.72171.5231.46972.5030G113.1841.53892.35290.67972.54821.60922.1952.25293.

9、3910.88740G12 3.00581.52061.76670.78482.58670.84561.6741.56652.5520.23510.8430G13 3.09853.33172.19282.60853.98762.17510.4790.67901.511.83822.6721.80D=( dij)第二步：求相应个点对应的距离，其中的距离为绝对值距离。4将G10和G12归类后图表如下：5将G8淮安和G15归并为G16,得图表如下:G1G2G3G4G5G6G9G11G14G16G10G21.99950G32.53442.340G42.50430.87142.08370D=(dj)i0

10、*i0=G52.68891.44462.20672.11720G62.39711.45441.06071.30011.88680G93.15943.51261.55353.25623.76022.05820G113.1841.53892.35290.67972.54821.60923.3909 0G143.00581.56641.76670.78482.58670.84562.55160.88740G163.09853.33172.19282.60853.98762.17511.69742.6723 1.8380G1G2G3G4G5G6G7G8G9G11G13G10G21.99950G32.5

11、3442.340G42.50430.87142.08370G52 68891.44462.20672.11720D=(dij)12*12=G62.39711.45441.06071.30011.88680=G72.70792.94261.96572.1313.74922.03860G82.95122.88381.51382.18913.53981.80760.5470.0000G93.15943.51261.55353.25623.76022.05821.6971.29710G113.1841.53892.35290.67972.54821.60922.1952.25293.3910G133.

12、09853.33172.19282.60853.98762.17510.4790.67901.512.67230G143.00581.56641.76670.78482.58670.84561.6741.56652.5520.88741.838重复上诉步骤，将G7连云港和G13宿迁归并为一类G15,得表如下G140G1G10G21.9995G32.5344G42.5043G52.6889D=(dij)ii*ii=G62.3971G82.9512G93.1594G113.184G143.0058G153.0985G2G3G4G5G6G8G9G11G1402.3400.87142.083701.4

13、4462.20672.117201.45441.06071.30011.886802.88381.51382.18913.53981.807603.51261.55353.25623.76022.05821.297101.53892.35290.67972.54821.60922.25293.390901.56641.76670.78482.58670.84561.56652.55160.88703.33172.19282.60853.98762.17510.6791.69742.6721.8382G1506D=(dij)9*9=G1G2G3G5G6G9G14G16G10G21.99950G3

14、2.53442.340G52.68891.44462.20670G62.39711.45441.06071.88680G93.15943.51261.55353.76022.05820G143.00581.56641.76672.58670.84562.55160G163.09853.33172.19283.98762.17511.69741.83820G173.1841.53892.35292.54821.60923.39090.88742.6723将G4常州和G11 镇江归并为G17,得图如下:G170D=(dij)8*8=G1G2G3G5G9G16G17G10G21.99950G32.5

15、3442.340G52.68891.44462.20670G93.15943.51261.55353.76020G163.09853.33172.19283.98761.69740G173.1841.53892.35292.54823.3909 2.67230G183.00581.56641.76672.58673.76022.17511.6092将G6南通和G14归并为G18,得图表如下:G180.0000D=(dij)7*7G1G3G9G16G17G18G19G10G32.53440G93.15941.55350G163.09852.19281.69740G173.1842.35293.3

16、9092.67230G183.00581.76673.76022.17511.60920G192.68892.343.76023.98762.54822.58670将G2无锡和G5苏州合并为G19得表如下:D=(dij)6*6G1G16G17G18G19G20G10G163.09850G173.1842.67230G183.00582.17511.60920G192.68893.98762.54822.58670G203.15942.19283.39093.76023.76020将G3盐城和G9徐州归并为G20,得表如下78将G17和G18归并为G21 ,得表如下:G1G1 0G16G19G20G21D=(dij)5*5=G163.09850G192.68893.98760G203.15942.19283.76020G213.1842.67232.58673.76020将G16和G20归并为G22,得表如下:G1G19G21G22G10D=(dij)4*4=G