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1、家庭人均收入与支出指标的典型相关分析家庭人均收入与支出指标的典型相关分析2013-09-24 星期二一、一、 问题表述问题表述1、 请利用互联网获取 2012 年我国某省及直辖市各地区的城市居民家庭人均收入和支出数 据。收入和支出支出数据要包含下面指标： 收入指标：工薪，经营，财产，转移 支出指标：食品，衣着，居住，家庭设备用品，交通和通信，文教娱乐用品及服务， 医疗和保健，杂项和服务，社会保障，其他2、 对上述指标作典型相关分析：（包括计算相关系数，求典型变量，典型相关系数的显 著性检验，典型变量的信息解释能力，典型变量得分，典型冗余分析等） 。二、二、 实验过程与结果（含程序代码）实验过程
2、与结果（含程序代码）地区工薪经营财产转移食品衣着居住家庭设 备 北京25161.21191.3696.610075.26905.52265.91923.71562.6 天津18794.11059.3462.39600.46663.317551763.41174.6 河北11686.61836.5318.45750.43927.314261372.3809.9 山西13146.5875.2274.15370.335581461.91327.8832.7 内蒙14779.12320.4513.44277.44962.42514.11418.61162.9 辽宁13093.92285.4333.67
3、16752551854.61385.6929.4 吉林12217.11860.3235.348994252.91769.51468.3839.3 黑龙江102351529.1141.35213.14348.51681.91186723.6 上海28550.81994.1633.19354.389062053.82225.71826.2 江苏17761.63026.6667.17516.86060.91772.11187.71193.8 浙江20334.34383.91572.37973.97066.221391518.11109.4 安徽129161874.55705390.75246.813
4、711501.4690.7 福建174378.82991.71752.85194.86534.914951661.81179.8 江西11654.41721.8471.74808.64675.21272.91114.5914.9 山东17629.42294.9615.74349.94827.62008.81510.81013.8 河南12039.22264.42864937.34214.81706.91087.1977.5 湖北12622.41906.7357.253075363.71677.91172.1814.8 湖南11550.12674.2770.750894943.914991292
5、.6940.8 广东21092.13035.312434848.47471.91404.62005.21370.3 广西13550.31699.8844.94751.25074.51019.31237.9884.9 海南12876.92158.6715.44343.25673.7780.11342.3729.9 重庆13827.71779.4433.75753.45847.92056.81205.71079.3 四川12687.31670.5523.24807.15571.71483.51226.11020.2 贵州10754.51614.7356.44873.34565.91209.9110
6、3857.6 云南12416.21785.612744779.44802.31587.2827.8570.5 西藏15855486.9358.11415.85184.21261.3781.1428 陕西14051.3771.8214.25032.75040.51673.21193.8914.3 甘肃11195.3914.3161.73996.24182.51470.31139.9660.5 青海114041054.678.65257.84260.31394.31055.2723.2 宁夏12396.72367.5198.54691.94483.41701.71247.1885.4 新疆1265
7、3.41412.3149.13416.44537.51715.9888.2791.4地区医疗保 健交通通 信文教娱 乐其他 北京1523.33521.23306.8975.4 天津1415.42699.52116836.8 河北9561526.61204387.4 山西851.31487.71419.4415.4内蒙1239.42003.51812.1765.1 辽宁1208.31899.11614.5643.2 吉林1108.51541.41468.3562.5 黑龙江10831363.61190.9476.9 上海1140.83808.43746.41394.9 江苏962.52262.2
8、2695.5647.1 浙江1248.93728.22816.1811.5 安徽907.613651631.3467.8 福建773.32470.21879667 江西641.21310.21429.3389.1 山东938.922041538.4518.3 河南919.81573.61373.9484.8 湖北915.71382.21489.7347.7 湖南790.81975.51526.1434.3 广东948.23630.62647.9773.2 广西779.12000.61502.7349.5 海南783.31830.81141.8360.9 重庆1050.61718.71474.9
9、540.6 四川735.31757.51369.5532.5 贵州578.31395.31331.4311.6 云南822.41905.91350.7381.4 西藏424.11278514.4527.7 陕西1100.51502.41857.6500.4 甘肃874.11289.81158.3413.4 青海854.31293.5967.9406.9 宁夏978.11637.61441.2521.5 新疆9131377.71122.2493.6解：在 SPSS 中输入数据，如下图，打开文件，新建，语法。在语法编辑器中输入程序 include c:Program FilesIBMSPSSSta
10、tistics19SamplesEnglishCanonical correlation.sps. cancorr set1=x1 x2 x3 x4/ set2=y1 y2 y3 y4 y5 y6 y7 y8运行全部得到典型相关分析的结果第一组收入指标的变量间的相关系数Correlations for Set-1x1 x2 x3 x4x1 1.0000 .2840 .5895 .0662x2 .2840 1.0000 .6705 .2165x3 .5895 .6705 1.0000 .2031x4 .0662 .2165 .2031 1.0000第二组支出指标的变量间的简单相关系数Correl
11、ations for Set-2y1 y2 y3 y4 y5 y6 y7 y8y1 1.0000 .3006 .7352 .7841 .3829 .8744 .8271 .8257y2 .3006 1.0000 .3491 .5465 .7491 .4302 .5260 .6213y3 .7352 .3491 1.0000 .8294 .5831 .8066 .8021 .7835y4 .7841 .5465 .8294 1.0000 .5700 .8300 .9041 .8539y5 .3829 .7491 .5831 .5700 1.0000 .5372 .6230 .6235y6 .87
12、44 .4302 .8066 .8300 .5372 1.0000 .8919 .8280y7 .8271 .5260 .8021 .9041 .6230 .8919 1.0000 .8532y8 .8257 .6213 .7835 .8539 .6235 .8280 .8532 1.0000Correlations Between Set-1 and Set-2y1 y2 y3 y4 y5 y6 y7 y8x1 .3198 .0026 .2972 .2666 -.0652 .2551 .1819 .2204x2 .3963 .2410 .3240 .3663 .1569 .5197 .424
13、4 .2445x3 .5757 .0282 .3732 .3407 .0122 .6483 .4461 .2870x4 .6138 .4723 .6731 .7225 .7516 .6795 .8033 .6840Canonical Correlations1 .9362 .8773 .4704 .393第一典型相关系数为CR1=0.936，第二典型相关系数为CR2=0.877，第三典型相关系数为CR3=0.470.第四典型相关系数为CR4=0.393Test that remaining correlations are zero:Wilks Chi-SQ DF Sig.1 .019 93.
14、310 32.000 .0002 .152 44.218 21.000 .0023 .659 9.807 12.000 .6334 .846 3.938 5.000 .558这是检验相关系数是否显著的检验，原假设：相关系数为0.每行的检验都是对此行及以后各行所对应的典型相关系数是不是为0的，相关性显著。由图看出，第一第二这两个典型相关系数显著，第三第四两个典型相关变量在5显著性水平下不显著。Standardized Canonical Coefficients for Set-11 2 3 4x1 .436 .275 -1.125 -.245x2 -.035 .081 -.547 1.262x3 -.995 -.760 .642 -.834x4 -.388 .938 .057 -.159Raw Canonical Coefficients for Set-11 2 3 4x1 .000 .000 .000 .000x2 .000 .000 -.001 .002x3 -.002 -.002 .002 -.002x4 .000 .001 .000 .000第一个典型相关变量的标准化典型系数为0.436、-0.035、-0.995和-0.388.第二个典型相关变量的标准
