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1、实习五、聚类分析方法应用一、实习内容:根据附表所列若干台站累年平均气候指标值:1、选择并计算各站气候相似指标量,建立原始距离矩阵;2、根据系统聚类的思想,利用最长距离法或其他方法进行聚类;3、对聚类结果进行简单地气候分析。二、实习步骤:1、根据附表资料,进行标准化处理并计算欧氏距离:标准化处理公式:-X;一XX=—标准化后的资料:z,站名!年平_均气紅1气温¥较
2、差
3、相对浪度年降>重mm勉at(50557)-2.031.511.030.22齐齐哈尔(50745)-1.31.160.33-0.02痒车(5164
4、4)0.250.15-1.18-1.09喀什(51709)0.35-0.02-0.6-1.12和田(51828)0.5-0.12-1.64-1.21济南(548230.96-0.34-0.010.78兖州(54916)0.73-0.321.380.74丽江(56651)0.54-2.020.681.7欧氏距离公式:k=l2、建立距离矩阵D(0).D(0)G1G2G3G4G5G6G7G8G101.163.+73.534.273.7f]3.374.62G21.1602.542.413.122.912.894.16
5、G33.72.5400.610.62.373.224G43.532.410.6101.062.12.763.69G54.27ii20.61.0602.62i6i14.18G63.712.912.372.12.6201.41•:_2<08G73.372.893.222.763.611.4102.08G84.624.1643.694.182.082.0803、定义类间距离:最小距离法D(p,q)=mm{djk/jeGp,keGq}将最相似的两类合并,计算新类与各类的距离;逐次聚类,直到所有样本并为一类。故在D(0
6、},Da,5=0.6=min,则G3和G5最为相似,并为G9去掉3,5行和列,加上9行和列,得D(1》D(l)G1G2G4G6G7G8G9.G101.163.53J^71__3.374.623.7G21.1602.412,912.894.16二2.54G43.532.4102.373.2240.61G63.712.912.1ZZZZZo1.412.082.37G73.372.892.761.412.083.22G84.624163.692.082.080G93.72.540.612.373.224在D⑴中,D
7、4,9:0.61:min,则G4和G9最为相似,去掉4,9行和列,加上10行和列,得D(2)并为G10□D(2)G1G2G6G7G8GIOG101.163.713.374.623.531.1602.912^894.162^41G63.712.910i.4i2^082.37G73.372.891.4102.083.22G84.624.162,082.0804G1013.53急.412.373.2240在D(2》中,Di,2=1去掉1,2行和列,.16二min,则G1和G2最为相似,加上11行和列,得D(3)并为
8、G1100(3)G6G7G8GIOGilG601.412.082.372.91G71.4102.083.222.89G82.082.08044.16G102.373.22402.41G112.912.894.162.410在D(3)中,D6,7=1.41二min,则G6和G7最为相似,并为G12。去掉6,7行和列,加上12行和列,得D(4)D⑷G8G10G11G12$8044.162.08G10402.412.37G114.162.4102.89G122.082.372.890在D⑷中,D8,12=2.08二
9、min,则G8和G12最为相似,并为G13去掉8,12行和列,加上13行和列,得D(5)D⑸G10G11_G13G1002.412.37G112.41G2.89G13_2.372.890在D(5》中,Dio,13=2.37二min,则G10和G13最为相似,并为G14去掉10,13行和列,加上14行和列,得D(6)D(6)G11G14G1102.37G142.370最后所有的都并为了一类G14.4、最大距离法D(p,q)=jk/jeGp,k6Gq}D(0)G1G2G3G4G5G6•■G7G8G1二^01.16
10、3.73.534.273.713.374.62G21.1602.542.413.122.912.894.16G33.72.5400.610.62.373.224:G43.532.410.6101.062.12.763.69;G54.273.120.61.0602.623.614.18G63.712.912.372.12.6201.412.08
11、切3.372.893.222.763.611.4102.