赖映儒主成份分析

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1、实验六主成分分析赖映儒2011306200512土规1101为了了解影响我国耕地保护制度实施的外部原因，收集了冇可能会对耕地保护制度实施产生影响的1996——2008年的外因指标数据，试根据所给数据对我国耕地面积的影响因素做主成分分析，并试使用主成分冋归方法求取冋归方程（耕地面积为因变量），数据见“指标・xls”1）导入数据：Bdatasasuser・gengdimianji：Ainputxlx2x3x4x5x6x7x8x9從cards:130039.20.1312238930.48241.4139.43550.139.8700.412

2、9903.10.13512362631.91259.9641.77525.340.5766.4129642.10.1412476133.35263.2341.97483.339.851154.8129205.50.14812578634.78277.8242.47424.337.761085.8128243.10.15312674336.22304.8344.3240935.881231.5127615.810.18412762737.66313.0544.76421.6834.51456.7V2）进行主成分分析:122082.670.

3、35613075642.99390.9850.28503.3631.022450.3A121775.870.36813144843.9430.9747.26509.430.53173121735.20.38113212944.94435.9549.57603.6430.034318.3121715.890.39713280245.68429.9551.65688.7530.175955.5procprincoapdata=sasuser・gengd：Lmi.anjiout=work.score：varxl-x8;run;

4、v3）得到的结

5、果:相关矩阵xlx2x3x4x5x6x?x8xl1.0000-.8704-.9574-.9704-.9506-.9482-.42270.9561x2-.87041.00000.88760.89590.94940.77700.6355-.7903x3・.95740.88761.00000.99860.97110.93940.3787-.9598x4・.97040.89590.99861.00000.97560.94370.3976-.9847x5-.95060.94940.97110.97561.00000.88460.4778-.919

6、4x6・.94820.77700.93940.94370.88461.00000.3589-.931?x7-.42270.63550.37870.39760.47780.35891.0000-.2414x80.9561-.7903-•9598-.9647-.9194-.9317・.24141.0000相关矩阵的特征值特征值差值比例累稅16.769007525.835208060.84610.846120.933799460.748831930.11670.962930.184967530.136160160.02310.986040.0

7、48807370.010844330.00610.992150.037963040.023629530.00470.996860.014333510.003247110.00180.998670.011086400.011051210.00141.000080.000035180.00001.0000从相关矩阵中得知xl（耕地）与x4（城市化率）,有较强的负相关性,达到・0.9704,x4（城市化率）与x5（二产业产值/一产业产值）有较强的正相关性，达到了0.9711。另外根据特征值來看，第一主成分的方差贡献率为0.8461,第二主成分

8、的方差贡献率为0.1167,二者的累积贡献率达到了0.9629,及可以就选择这二者作为主成分分析。特征向里PrinlPrin2Prin3Prin4Prin5Prin6Prin7Prin8xi-.3767610.0788890.1851160.5195300.540564-.3117390.3829370.109216x20.3559760.2697660.5835430.166091-.399872-.517666-.059196-.031937x30.378920-.1178150.0820840.3273650.4206380.15

9、3420-.379454■•619820x40.381348-.1005530.0531380.1540080.2738910.101443-.3642070.774575x50.3781240.02333