多元应用统计第九章答案

1、用对应分析研究我国部分省份的农村居民人均消费支出结构X1=食品支出比重，X2=衣着支出比重，X3=居住支出比重，X4=家庭设备及服务支出比重，X5=医疗保健支出比重，X6=交通和通讯支出比重，X7=文教娱乐、用品及服务支出比重解：利用SPSS分析结果如下：对应表地区变量食品衣着居住家庭设备医疗山西.000.000.000.000.000内蒙古.584.111.092.050.038辽宁.581.081.112.042.043吉林.565.100.124.041.043黑龙江.531.106.117.045.044海南.555.097.143.038.052四川.655.048.095.048.022贵州.640.062.117.048.034甘肃.725.056.073.044.016青海.679.058.088.038.040有效边际5.515.719.963.395.333行简要表地区变量食品衣着居住家庭设备医疗山西.000.000.000.000.000内蒙古.599.114.095.051.039辽宁.591.083.114.043.044吉林.574.102.126.042.044黑龙江.544.108.120.046.045海南.564.098.146.038.053四川.666.049.097.049.023贵州.647.062.118.049.034甘肃.734.057.074.045.017青海.688.059.090.039.040质量.623.081.109.045.038列简要表地区变量食品衣着居住家庭设备医疗山西.000.000.000.000.000内蒙古.106.155.096.127.115辽宁.105.113.117.107.130吉林.102.139.129.104.131黑龙江.096.147.121.114.132海南.101.134.149.095.157四川.119.067.099.121.067贵州.116.086.121.123.101甘肃.132.078.076.112.049青海.123.081.092.096.120有效边际1.0001.0001.0001.0001.000列简要表地区变量交通通讯文教娱乐质量山西.000.000.000惯性值：等于各因子特征值的平方。“惯性比例解释”、“惯性比例累积”，解释因子的贡献率。“置信奇异值”即“置信特征值”，因为选择的是2维解，所以只给出两个因子的结果，标准差越小，说明点估计值越准确，因子的相关系数越小，则说明因子分解越稳定。概述行点a地区维中的得分贡献点对维惯量质量12惯量12山西.000.....内蒙古.110.147.528.002.017.597辽宁.111.217-.194.001.038.082吉林.111.323.020.002.085.001黑龙江.110.467.021.004.176.001海南.111.390-.137.003.123.041四川.111-.368-.243.003.110.128贵州.112-.187-.173.001.028.065甘肃.112-.628.197.007.321.085青海.111-.352-.014.003.101.000有效总计1.000.0261.0001.000a.对称标准化概述行点a地区贡献维对点惯量12总计山西...内蒙古.158.765.923辽宁.489.147.636吉林.960.001.962黑龙江.880.001.881海南.707.033.739四川.624.102.726贵州.495.160.655甘肃.916.034.950青海.752.000.752a.对称标准化概述列点a变量维中的得分贡献点对维惯量质量12惯量12食品.623-.259.019.006.305.005衣着.081.695.598.007.287.566居住.109.415-.361.004.137.276家庭设备.045-.045.148.000.001.019医疗.038.683-.123.003.128.011交通通讯.025.808-.407.004.119.081文教娱乐.080.200-.167.002.023.043有效总计1.000.0261.0001.000a.对称标准化从对应分析图分析，总体上看，把分析结果分左右成两部分，左边区域中甘肃、青海、四川、贵州为一类，与其对应的指标是食品和家庭设备；右边区域是内蒙古、吉林、黑龙江、南海、辽宁为一类，对应的指标是衣着、医疗、文教娱乐、居住、交通通讯。根据维数1置换的对应表地区变量食品家庭设备文教娱乐居住医疗甘肃.725.044.057.073.016四川.655.048.097.095.022青海.679.038.068.088.040贵州.640.048.072.117.034内蒙古.584.050.080.092.038辽宁.581.042.083.112.043吉林.565.041.079.124.043海南.555.038.073.143.052黑龙江.531.045.095.117.044山西.000.000.000.000.000有效边际5.515.395.704.963.333根据维数1置换的对应表地区变量衣着交通通讯有效边际甘肃.056.016.989四川.048.019.983青海.058.015.986贵州.062.017.990内蒙古.111.019.975辽宁.081.040.984吉林.100.031.984海南.097.026.984黑龙江.106.039.976山西.000.000.000有效边际.719.2228.8512、对全国31个省市自治区按各种经济类型资产占总资产比重（%），利用1997年数据作对应分析，X1=国有经济/总资产，X2=集体经济/总资产，X3=联营经济/总资产，X4=股份制经济/总资产，X5=外商投资经济/总资产，X6=港澳台经济/总资产，原始数据如下：解：对应表地区变量国有经济/总资产集体经济/总资产联营经济/总资产股份经济/总资产外商投资经济/总资产北京.649.100.009.031.154天津.546.081.012.049.243河北.656.170.002.057.061山西.797.139.001.030.019内蒙古.787.091.002.054.035辽宁.676.112.005.069.096吉林.775.089.001.066.051黑龙江.767.089.001.080.040上海.474.080.024.125.232江苏.380.316.016.070.128浙江.355.373.008.103.093安徽.548.182.003.184.051福建.337.092.011.066.155江西.759.139.003.026.055山东.558.239.002.067.094河南.644.178.003.091.033湖北.616.149.005.134.071湖南.734.165.001.035.041广东.290.143.011.076.161广西.655.161.004.070.079海南.510.027.009.184.132重庆.675.127.002.087.072四川.660.135.003.149.028贵州.828.087.008.041.019云南.765.111.003.074.026西藏.771.106.047.025.024陕西.802.087.002.041.034甘肃.827.099.001.045.014青海.895.040.001.052.003宁夏.764.082.002.079.061新疆.841.084.004.031.012有效边际20.3424.074.2062.2942.314行简要表地区变量国有经济/总资产集体经济/总资产联营经济/总资产股份经济/总资产外商投资经济/总资产北京.651.100.009.031.154天津.551.081.012.049.245河北.661.172.002.058.061山西.797.139.001.030.019内蒙古.792.092.002.054.035辽宁.683.114.005.069.097吉林.778.089.001.066.052黑龙江.769.089.001.081.040上海.474.080.024.125.232江苏.385.320.016.071.130浙江.360.378.008.104.094安徽.557.185.003.187.052福建.341.093.011.066.157江西.763.140.003.026.055山东.560.240.002.068.094河南.650.180.003.092.033湖北.618.149.006.135.071湖南.740.167.001.035.041广东.291.143.011.077.161广西.658.162.004.070.079海南.516.027.009.186.133重庆.681.128.002.088.072四川.667.136.003.151.028贵州.831.087.008.041.019云南.767.111.003.074.026西藏.775.107.047.025.024陕西.804.088.002.041.034甘肃.828.099.001.045.014青海.897.040.001.052.003宁夏.766.083.002.080.061新疆.844.084.004.032.012质量.660.132.007.074.075港澳台经济/总资产有效边际北京.0551.000天津.0621.000河北.0461.000山西.0131.000内蒙古.0251.000辽宁.0321.000吉林.0141.000黑龙江.0211.000上海.0641.000江苏.0791.000浙江.0551.000安徽.0161.000福建.3311.000江西.0131.000山东.0361.000河南.0431.000湖北.0231.000湖南.0161.000广东.3161.000广西.0271.000海南.1291.000重庆.0281.000四川.0151.000贵州.0131.000云南.0181.000西藏.0231.000陕西.0321.000甘肃.0131.000青海.0061.000宁夏.0091.000新疆.0251.000质量.051列简要表地区变量国有经济/总资产集体经济/总资产联营经济/总资产股份经济/总资产外商投资经济/总资产北京.032.024.044.014.066天津.027.020.056.021.105河北.032.042.011.025.026山西.039.034.006.013.008内蒙古.039.022.009.023.015辽宁.033.028.023.030.041吉林.038.022.005.029.022黑龙江.038.022.004.035.017上海.023.020.117.055.100江苏.019.078.076.031.055浙江.017.092.037.045.040安徽.027.045.013.080.022福建.017.023.055.029.067江西.037.034.015.011.024山东.027.059.010.029.041河南.032.044.013.040.014湖北.030.036.027.059.031湖南.036.041.004.015.018广东.014.035.053.033.069广西.032.040.017.030.034海南.025.007.044.080.057重庆.033.031.011.038.031四川.032.033.014.065.012贵州.041.021.040.018.008云南.038.027.013.032.011西藏.038.026.226.011.010陕西.039.021.012.018.015甘肃.041.024.005.020.006青海.044.010.005.023.001宁夏.038.020.010.035.026新疆.041.021.021.014.005有效边际1.0001.0001.0001.0001.000“质量”是基于边际频数的影响量，为行或列百分比的加权均数，值越大，对形心影响越大，即越靠近形心。降维数至6维（因子），是因为行列2变量中分类数最小的行变量的类数7减一个的结果。奇异值：即特征值，解释行与列因子分的相关性。惯性值：等于各因子特征值的平方。“惯性比例解释”、“惯性比例累积”，解释因子的贡献率。“置信奇异值”即“置信特征值”，因为选择的是2维解，所以只给出两个因子的结果，标准差越小，说明点估计值越准确，因子的相关系数越小，则说明因子分解越稳定。概述行点a地区维中的得分贡献点对维惯量质量12惯量12北京.032-.192-.166.004.003.004天津.032-.546-.061.014.024.001河北.032.069.158.001.000.004山西.032.492-.102.004.020.002内蒙古.032.388-.294.003.012.013辽宁.032.083-.030.001.001.000吉林.032.388-.217.002.012.007黑龙江.032.364-.216.002.011.007上海.032-.656.128.016.035.002江苏.032-.5911.086.014.028.170浙江.032-.4211.499.020.014.324安徽.032.084.669.008.001.064福建.032-1.970-.812.057.309.095江西.032.374-.038.003.011.000山东.032-.072.660.004.000.063河南.032.123.261.002.001.010湖北