一组空气污染大数据地主成分分析报告

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1、实用文档一组空气污染数据的主成分分析【说明】下面的多元统计分析练习题摘自R.A.Johnson等编写的《应用多元统计分析（第五版）》，原书为：RichardA.JohnsonandDeanW.Wichern.AppliedMultivariateStatisticalAnalysis(5thEd).PearsonEducation,Inc.2003。我看的是中国统计出版社（ChinaStatisticsPress）2003年发行的影印本。第一题为原书第1.6题，即第1章的第6题，第二题为原书第8.12题，即第8章的第12

2、题。第二题用的是第一题的数据。1习题1.6.ThedatainTable1.5are42measurementsonair-pollutionvariablesrecordedat12:00noonintheLosAngelesareaondifferentdays.(a)Plotthemarginaldotdiagramsforallthevariables.(b)Constructthe,Sn,andRarrays,andinterprettheentriesinR.TABLE1.5AIR-POLLUTIONDATA

3、Wind(x1)Solarradiation(x2)CO(x3)NO(x4)NO2(x5)O3(x6)HC(x7)8987212827107439537103435631088528154691428103890521212498474121555726421144782511111386452139467154103369142127377274181031070421173107241810397741910387641773871531644967421323969339531062531444文案大全实用文档98

4、842763880421311453033523683511023488432763678421111387921710366243983103731723871411073752411284548658436754110243103541692885419102586316122586721318277974925377952862668621114384043652Source:DatacourtesyofProfessorG.C.Tiao.8.12.Considertheair-pollutiondataliste

5、dinTable1.5.Yourjobistosummarizethesedatainfewerthanp=7dimensionsifpossible.ConductaprincipalcomponentanalysisofthedatausingboththecovariancematrixSandthecorrelationmatrixR.Whathaveyoulearned?Doesitmakeanydifferencewhichmatrixischosenforanalysis?Canthedatabesumma

6、rizedinthreeorfewerdimensions?Canyouinterprettheprincipalcomponents?2部分解答2.1部分统计参数利用Excel计算的平均值（）和标准差　WindSolarradiationCONONO2O3HCAverage7.573.8571434.5476192.190476210.0476199.40476193.0952381Stdev1.581138817.3353881.23372091.08735743.37098375.56583450.6917466E

7、xcel给出的协方差矩阵S　WindSolarCONONO2O3HC文案大全实用文档radiationWind2.4404762Solarradiation-2.714286293.36054CO-0.3690483.81632651.4858277NO-0.452381-1.3537410.65759641.154195NO2-0.5714296.60204082.25963721.062358311.092971O3-2.17857130.0578232.7545351-0.7913833.052154230.240

8、93HC0.16666670.60884350.1383220.17233561.01927440.58049890.4671202Excel给出相关系数矩阵R　WindSolarradiationCONONO2O3HCWind1Solarradiation-0.1014421CO-0.1938030.1827934