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1、最短聚类法分析自然对数变换标准差标准化省、自治区京津冀山曲内蒙古辽宁吉林黑龙江首位城市规模(万人)6.5506516725.1899523424.7107006875.9651205725.3534682115.556828062城指四市数基尼系数63O.060943O.724997o11475115562436700O78989268707569965776283700337878606城市规模中位值(万人)2.3869262412.4664031782.8777929763.2703291062.9808724113.1561489951.55
2、7229197-0.569778238-1.3189311260.641943229-0.3141747690.003711707城市四城首位市指度数-1.110.47523420264294510.3790.630454968497777-1.18-0.28406825099777310.2590.435422166424520.058834220.809157788城市规模中位基尼值(万系数人)1.77390908-1.3024979430.23348170-1.081988916-0.46595230.059314661230.1331.14
3、831033816294-1.12183630.345285460341.422-1.89-0.554786800143263590.8315579080139第一步:将原始数据经标准化处理后,以欧氏距离作为分类统计量,得初始距离矩证图,如图所示内蒙古京津冀(G1)山西(G2)(G3)辽宁(G4)吉林(G5)山西1.35612376(G2)1内蒙古1.77353109(G3)31.061751782辽宁1.547867151.28916(G4)11.1483672422593吉林0.923530.845975(G5)1.793657990.9026
4、711549241663黑龙江2.209079881.531211.1464501.4006297(G6)71.552492115473539第2步:在初始距离矩证图中,最小元素为G45=0.8460,将G4和G5合为一新类G7,然后再计算新类G7与其他各类间的距离D7,l=min(l.547867151,1.79365799)=1.547867151G7,2=min(l.148367242,0.902671154)=0.902671154G7,3=min(l・289162593,0.923539241)=0.923539241G7,6=min(l
5、.146450735,1.400629739)=1.146450735经过第一步得到下表,删掉了G4,G5所在行列的元素。然后再把新计算出来的G7与其他各类的距离填到初始距离矩证图中,得下表京津冀(G1)山西(G2)内蒙古(G3)黑龙江(G6)山西(G2)1.356123761内蒙古(G3)1.7735310931.061751782黑龙江(G6)2.2090798871.5524921151.531214G71.5478671510.9026711540.9235392411.14645073从上表得知,最小元素为G2,7=0.9026,再将G2
6、和G7合并为G8,然后再计算G8与其他类间的距离。G&l=min(l.356123761,1.547867151)=1.356123761G8,3=min(0.923539241,1.061751782)=0.923539241G8,6=min(l.552492115,1.14645073)=1.14645073经过第二步计算,合并了G2和G7,于是再把G2和G7删掉,增加了G&得到了下表京津冀(G1)内蒙古(G3)黑龙江(G6)内蒙古(G3)1.773531093黑龙江(G6)2.2090798871.531214G81.3561237610.9
7、235392411.14645073最小元素为G3,8=0.9235,再将G3和G8合并为G9然后再计算G9与其他类间的距离。G9,l=min(l.773531093,1.356123761)=1.356123761G9,6=min(l.14645073)=1.14645073经过第三步计算,增加了G9黑龙江(G6)京津冀(G1)黑龙江(G6)2.209079887G91.3561237611.14645073最小元素为G9,6=1.14645073合并G6和G9为G10,计算G10与其他类间的距离。GIO,l=min(2.209079887,1.
8、356123761)=1.356123761经过第四步计算,得到下表。G10乐津冀(G1)1.356123761G10和G