应用多元统计分析实验报告

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1、应用多元统计分析实验报告学院：统计学院班级：风险管理与精算姓名：张冉学号：201102030125一、研究目的下表1是2010年各地区6项重要指标的数据，这6项指标分别是：X1—城市用水普及率（%）X2—城市燃气普及率（%）X3—每万人拥有公共交通车辆（标台）X4—人均城市道路面积（平方米）X5—人均公园绿地面积（平方米）X6—每万人拥有公共厕所（座）表1各地区城市设施水平指标地区X1X2X3X4X5X6北京100.00100.0014.245.5711.283.54河北100.00100.0012.051

2、4.898.562.01天津99.9799.079.5317.3514.234.22山西97.2689.946.8310.669.363.32内蒙古87.9779.266.8914.8912.364.73辽宁97.4494.199.3511.1910.212.99吉林89.6085.649.7512.3910.274.53黑龙江88.4384.6710.0010.0011.276.56上海100.00100.008.824.046.972.62江苏99.5699.1210.9121.2613.293.75浙

3、江99.7999.0711.8716.7011.054.01安徽96.0690.527.7316.0110.952.55福建99.5098.9210.3212.5810.992.64江西97.4392.367.6113.7713.042.17山东99.5799.3010.1822.2315.842.05河南91.0373.437.5810.258.653.32湖北97.5991.759.4714.089.622.91湖南95.1786.5010.0112.958.892.35广东98.3795.759.53

4、12.6913.292.06广西94.6592.358.0714.319.831.76海南89.4382.448.6113.8111.221.73重庆94.0592.027.239.3713.241.55四川90.8084.399.6511.8410.192.93贵州94.1069.728.466.657.332.21云南96.5076.409.7410.909.302.26西藏97.4279.8320.9113.255.784.16陕西99.3990.3912.6413.3810.673.13甘肃91.5

5、774.298.1012.208.122.17青海99.8790.7918.3011.428.534.65宁夏98.2388.0110.6317.3516.184.18新疆99.1795.8011.6613.198.613.23本次实验的研究目的是根据这些指标用主成分分析法对各地区城市设施水平进行综合评价和排序，得出结论并提出建议。二、研究过程从标准化数据出发，首先计算这些指标的主成分，然后通过主成分的大小进行排序。1.利用SPSS进行因子分析表2和表3分别是特征根（方差贡献率）和因子载荷阵的信息。表2特征

6、根和方差贡献率表TotalVarianceExplainedComponentInitialEigenvaluesExtractionSumsofSquaredLoadingsTotal%ofVarianceCumulative%Total%ofVarianceCumulative%12.15535.91735.9172.15535.91735.91721.56626.09362.0101.56626.09362.01031.23020.50782.5171.23020.50782.5174.61710.2

7、8092.797.61710.28092.7975.2584.29997.096.2584.29997.0966.1742.904100.000.1742.904100.000ExtractionMethod:PrincipalComponentAnalysis.表3因子载荷阵ComponentMatrixaComponent123456X1.770.444-.349-1.476E-5.039.293X2.857.113-.208.356-.186-.219X3.246.839.291-.282.210-.

8、164X4.633-.396.359-.519-.210.012X5.605-.642.275.164.345-.005X6-.019.286.881.337-.120.115ExtractionMethod:PrincipalComponentAnalysis.a.6componentsextracted.2.利用因子分析结果进行主成分分析⑴．表4是特征向量的信息表4特征向量矩阵z1z2z3z4z5z6x10.