多元统计分析实验报告

./1.实验目的：〔1掌握均值向量及协方差阵的检验方法。〔2能够用SPSS软件或R软件实现均值及协方差阵的检验,并正确理解输出结果。2.实验容均值向量检验和协方差阵检验3.实验步骤〔1在进行比较分析之前,首先要对数据是否遵从多元正态分布进行检验。对数据进行以下操作"Analyze-descriptivestatistics-explore"。图一图二单击plots,选择正态分布检验,单击continue,ok得出结果。图三〔2多元正态分布有关均值与方差的检验,单击"Analyze-generallinearmodel-multivariate",得到下图。图4Options打开,将省份导入displaymeansfor中,如图5,continue继续,ok运行。图54.实验结果〔或心得体会TestsofNormalityKolmogorov-SmirnovaShapiro-WilkStatisticdfSig.StatisticdfSig.年末总户数〔户.11694.003.94294.000年末总人口〔万人.40694.000.65994.000地方财政一般预算收入〔万元.17494.000.84294.000行政区域土地面积.17794.000.83794.000其中：乡村户数.14194.000.92494.000地方财政一般预算支出.25894.000.77794.000城乡居民储蓄存款余额.23094.000.60394.000规模以上工业企业个数.16794.000.85494.000普通中学在校学生数.33694.000.58894.000a.LillieforsSignificanceCorrection表一正态分布检验Kolmogorov-SmirnovaShapiro-WilkStatisticdfSig.StatisticdfSig.行政区域土地面积/平方万公里.15976.000.85376.000乡<镇>个数/个.09876.066.96576.033村民委员会个数/个.06776.200*.96076.017年末总户数/户.08376.200*.95876.014其中：乡村户数/户.11376.017.94976.004年末总人口/万人.08976.200*.96376.026乡村人口/万人.13076.003.95676.010年末单位从业人员数/人.15376.000.87276.000乡村从业人员数/人.10176.054.96276.023其中：农林牧渔业/人.09976.062.96076.018农业机械总动力/万千瓦特.12176.007.86576.000本地年末用户/户.15176.000.84176.000第一产业增加值/万元.13476.002.91076.000第二产业增加值/万元.17476.000.76376.000地方财政一般预算收入/万元.20776.000.76476.000地方财政一般预算支出/万元.12276.007.93576.001城乡居民储蓄存款余额/万元.19976.000.71476.000年末金融机构各项贷款余额/万元.21476.000.64676.000粮食总产量/吨.20476.000.81776.000油料产量/吨.32576.000.50276.000肉类总产量/吨.15076.000.82676.000规模以上工业企业个数/个.20576.000.71976.000规模以上工业总产值<现价>/万元.23076.000.72176.000城镇固定资产投资完成额/万元.18876.000.75576.000普通中学在校学生数/人.15076.000.88676.000小学在校学生数/人.09176.187.94876.004医院、卫生院床位数/床.15676.000.86576.000各种社会福利收养性单位数/个.11576.014.94476.002各种社会福利收养性单位床位数/床.17176.000.84576.000根据p值检验可以看到,这些变量都服从多元正态分布。表二多变量检验表EffectValueFHypothesisdfErrordfSig.Pillai'sTrace.96949.046a29.00046.000.000Wilks'Lambda.03149.046a29.00046.000.000Hotelling'sTrace30.92049.046a29.00046.000.000Roy'sLargestRoot30.92049.046a29.00046.000.000省份Pillai'sTrace1.6206.90158.00094.000.000Wilks'Lambda.0356.932a58.00092.000.000Hotelling'sTrace8.9696.95958.00090.000.000Roy'sLargestRoot5.5999.074b29.00047.000.000通过表二可以看出,无论从哪个统计变量来看,三个省的总体水平是有明显差别的,从第一个检验可以得到的线性模型：。表明三个省份对指标的取值是有影响的,行业取之不同,通过拟合得到三个省值是有差异。如果x的系数是零,则无差异。表三EstimatesDependentVariable省份MeanStd.Error95%ConfidenceIntervalLowerBoundUpperBound行政区域土地面积/平方万公里省4.800E3400.3644002.3735597.858省4.313E3416.7123482.3505142.984省3.149E3392.8802366.0213931.682乡<镇>个数/个省12.9231.05810.81515.031省14.4581.10112.26416.652省18.1481.03816.08020.217村民委员会个数/个省133.73114.612104.615162.846省223.20815.209192.904253.513省220.11114.339191.540248.682年末总户数/户省1.562E51.532E4125649.025186703.514省1.802E51.595E4148402.195211949.722省1.852E51.503E4155209.779215122.962其中：乡村户数/户省8.102E41.104E459028.511103012.566省1.025E51.149E479646.430125426.486省1.373E51.083E4115692.519158854.370年末总人口/万人省45.9234.81136.33855.509省53.7925.00743.81563.769省55.4814.72146.07564.888乡村人口/万人省30.9624.03322.92538.998省37.8754.19829.51046.240省44.7783.95836.89152.664年末单位从业人员数/人省2.187E42512.38216863.12426875.183省2.839E42614.97023179.80933600.691省2.231E42465.41717397.47527222.377乡村从业人员数/人省1.664E51.980E4126987.118205877.190省1.867E52.060E4145658.930227770.320省2.353E51.943E4196591.986274007.347其中：农林牧渔业/人省1.153E51.306E489241.322141285.909省1.336E51.359E4106525.055160694.778省1.382E51.282E4112619.074163690.778农业机械总动力/万千瓦特省49.0006.42436.20061.800省60.5006.68647.17873.822省50.9636.30438.40263.523本地年末用户/户省6.493E41.434E436353.24293515.989省9.895E41.493E469204.064128700.936省1.508E51.408E4122723.498178817.687第一产业增加值/万元省2.498E54.002E4170005.803329508.043省3.235E54.166E4240464.652406479.848省3.457E53.928E4267458.501423979.128第二产业增加值/万元省2.831E51.341E515830.732550370.422省6.908E51.396E5412612.850968979.400省1.255E61.316E5993045.2191517592.633地方财政一般预算收入/万元省2.677E41.043E45991.70947553.060省4.765E41.086E426025.32969283.755省1.243E51.023E4103931.671144716.107地方财政一般预算支出/万元省1.162E51.267E490989.000141461.077省1.897E51.318E4163441.831215974.835省2.004E51.243E4175586.519225115.110城乡居民储蓄存款余额/万元省3.591E59.517E4169500.282548755.564省5.565E59.905E4359109.293753850.707省8.932E59.339E4707082.4091079248.183年末金融机构各项贷款余额/万元省2.834E58.424E4115531.782451250.603省5.000E58.768E4325290.595674717.822省7.213E58.267E4556538.129885981.278粮食总产量/吨省1.047E61.237E5800676.3031293792.851省9.874E51.288E5730767.0951244019.072省4.225E51.214E5180539.883664438.487油料产量/吨省4.176E37802.098-11370.25019721.789省2.597E48120.6819793.10642154.727省2.518E47656.2529922.84540433.673肉类总产量/吨省5.631E41.722E422003.72390607.815省1.303E51.792E494608.048166013.452省1.175E51.689E483815.355151137.015规模以上工业企业个数/个省35.38527.625-19.66090.429省104.20828.75346.916161.500省316.81527.109262.800370.830规模以上工业总产值<现价>/万元省4.277E53.408E5-251450.1991106862.738省1.280E63.548E5573022.0771986799.006省3.532E63.345E52865402.1284198323.798城镇固定资产投资完成额/万元省4.614E51.555E5151495.469771249.377省1.045E61.619E5722666.6741367726.993省1.293E61.526E5988780.4641596949.166普通中学在校学生数/人省1.936E42550.27414276.35324439.416省2.487E42654.40919583.59930161.651省2.157E42502.60116586.94026560.023小学在校学生数/人省2.254E42607.02517347.58227736.803省3.025E42713.47724847.40335660.847省2.924E42558.29124144.23534339.247医院、卫生院床位数/床省891.692150.316592.1811191.204省1.598E3156.4541286.0081909.492省1.526E3147.5061232.4951820.320各种社会福利收养