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1、实验报告实验项目分层随机抽样实验日期实验地点实验目的掌握分层随机抽样及其简单估计嚼I翻:1、某调查员况,假设i1、掌握分层随机抽样的抽取方法及各层样本统计量的汇总方法2、掌握分层随机抽样总体均值、总体总量、总体比例的简单估计方法电队掌振萍唐随糕捅样椭赛蠲鹰是发茂物廖海雌就清契调皆传越经凫辕倬幅曾本并获得样本情况(见样本文件),请根据此样本分别按性别、家庭所在地分层,并计算各层的样本量、平均生活费支出、生活费支出的方差及标准差。(1)先对数据按照家庭所在地进行排序:【数据】一【排序】,选择“家庭所在地”再对数据进行分类汇总:【数据】f【分类汇总】,“分类字段”选择“家庭所在地”,“汇总方式”选择
2、“平均值”,“选定汇总项”选择“平均月生活费”,在对话框下方选择“汇总结果显示在数据下方”;再做两次分类汇总,“汇总方式”分别选择“计数”和“标准偏差”。最后得到表IT所示结果:大型城市平均值614.5348837大型城市计数86大型城市标准偏差300.0849173乡镇地区平均值529.4117647乡镇地区计数68乡镇地区标准偏差219.0950339中小城市平均值618.6440678中小城市计数118中小城市标准偏差202.5264159总计平均值595.0367647总计数272总计标准偏差243.4439223家庭所在地平均月生活费在SPSS软件中得出的计算结果:11二选择一I茨嗣
3、=S1窿话框中分别在Dependent1ist”框中选入“家庭所在地”,在“Independent1ist”框中选入“平均月生活费”,得到如表1-2所示结果:表1-2Report平均月生活费选择,在出现的对话框中选择unctionvI选择估计量,得到如图1-2所示结果:图IT图1-2I募庭所在I平均月J1平均月_2TEi161453300082乡镇地区52941219.102中小城市618.64202.53一所示对话框,并按照下图1-3中所选项进行操作:得到如下图表的结果:CaseProcessingSummaryCasesVa1idMissingTota1家庭所在PercenPercenPe
4、rcen地NtNtNt平均月生大型城市86100.0%00%86100.0%活费乡镇地区68100.0%0.0%68100.0%中小城市118100.0%00%118100.0%DescriptivesStatisStd.家庭所在地ticError平均月生活大型城市Mean614.5332.359费95%1owerBound550.20ConfidenceUpperBoundInterva1678.87forMean5%TrimmedMean592.51Median500.00Variance90050.958Std.Deviation300.085Minimum100Maximum2500R
5、ange2400Interquarti1eRange300.00Skewness3.116.260Kurtosis17.407.514乡镇地区Mean529.4126.56995%1owerBound476.38ConfidenceUpperBoundInterva1582.44forMean5%TrimmedMean518.46Median500.00Variance48002.634Std.Deviation219.095Minimum200Maximum1000Range800Interquarti1eRange200.00Skewness.996.291Kurtosis.172.574
6、中小城市Mean618.6418.64495%1owerBound581.72ConfidenceUpperBoundInterva1655.57forMean5%TrimmedMean612.34Median600.00SkewnessKurtosis.686.223.168.442平均月生活费Sten-and-1eafP1otfor家庭所在二大型城市FrequencyStem&1eaf1.000.18.000.2333333336.000.4444444445556555555555655555555555519.000.666666666666666677710.000.88888888
7、8810.001.00000000001.001.21.00Extremes(2500)Stewidth:1000Each1eaf:1CaSe(S)平均月生活费Steirand-1eafP1gtfcr冢庭所在二乡铉地区FriencyStem&1eaf2.002.0513.003.000000000000516.004.00000000000655516.OC5.00000000000000007.006.00000004.007.00003.008.0008.OCExtrB50=1000)Steikvdth100Each1eaf:1case(s)活货Sten-and-1eafPIMfor=中小
8、城市FrequenceStew11eaf1.008.OO10.0033.0027.008.0016.003.0010.00.002.00234567890120OOCOOQ55Doooooooos000000000000000000000000000000005000000090000000000000000000000000000000000000000000OOOoocoooooooOOStenwidth.:EaCh1eaf;1001CaSeG201000平均月生活费-100086681182、教材129页第33题层样本11010202010010302022035105004050102
9、02030200303050400300(1)数据结构、运用Exce1的计算步骤及结果如下:样本11010202010010302203510500405010203020030305040030NWyW2S2S1-fW2s2(1-f)nWS2Wshhhhhhhhhhhhhhh12560.303311.20.09294.49.7160.96090.83456885528.6331752.94724200.497625.50.248302.517.3930.97627.312630556150.533188.65531680.1991200.04355.618.8560.94051.324917
10、82970.7740923.753844156.70.379752.545.9652.87769.472117241249.9404415.35体均值估20.0678体均值估方差9.47212本均值估示准差3.07768)St1.0483MS2/Nhh0.29614总样本量列分配185.907更分配175.381比例分配奈曼分配奈曼分配层权56.388833.659w10.19292.512998.853w20.56437.005142.869w30.244185.907175.381第h层的层权:WhT第h层的样本均值:7=1hnhi=15/10%*20.06784V(yu)=()2=()2
11、=1.0483Stu1.962下面计算两种分配方法的样本量及每层要抽的样本量:1比例分配:比例分配的层权为:w=Whh故:n=Wn=56.3888取整得n=57121n=wXn=92.5129取整得n=93222n=wn=37.0051取整得n=383332.奈曼分配:(1WS)2奈曼分配的样本量为:nhJ卜=175.381r.Yx1V1.o)2+WS2UNhh2h=1奈曼分配的层权为:W=WS1WShhhhhh=1故:n=Wn=33.65912取整得n=341n=w-98.85322取整得n=992n=wn=42.86933取整得n=433(2)在SPSS中的计算均值与方差的结果如下:Descriptivesd.层or07211ower4.25Boundc18.15rimmedMean10.78Median10.00Interondtic11.20Variance94.400Std.Deviation9.MaximumRangeInterquarti1eRangeSkewnessKurtosis303018.50.668-.040.6871.3342样本Mean25.005.42695%1ower12.72ConfidenBoundceUpper