spss多因素方差分析報(bào)告例子

1、文案大全作業(yè)8：多因素方差分析1,data0806-height是從三個(gè)樣方中測(cè)量的八種草的高度，問(wèn)高度在三個(gè)取樣地點(diǎn)，以及八種草之間有無(wú)差異？具體怎么差異的？打開(kāi)spss軟件，打開(kāi)data0806-height數(shù)據(jù)，點(diǎn)擊Analyze->GeneralLinearModel->Univariate打開(kāi)：扌把plot和species送入FixedFactor(s)，扌把height送入DependentVariable，點(diǎn)擊Model打開(kāi)：選擇Fullfactorial.TypeIIISumofsquares,Includeinterceptinmodel（即全部默認(rèn)選項(xiàng)），點(diǎn)擊C

2、ontinue回到Univariate主對(duì)話框，對(duì)其他選項(xiàng)卡不做任何選擇，結(jié)果輸出:*UnivariateAnalysisofVarianceBetwen-SubiiectsTactoraNWE6：dspecies12345678plat123333333330S呂TeslsofBetween-SubiiectsEffectsDep已ndenlViariable:weedh己ight(cm)sourceTypeIIISumofSquaresdfMeanSquiargFSixcoiecteaMadnite日時(shí)23343DIntrcgpl3234.03213234.0B2311667J.736pi

3、er24.261212.130卑眈1眈*plDt21.72141.634Error.0000iDtal3312.S9024CorrectedTotal7B.BQB23呂.RSquared二1.000(AdjustedRSquared.)因無(wú)法計(jì)算口口仃0，即無(wú)法分開(kāi)口intercept和口error,無(wú)法檢測(cè)interaction的影響，無(wú)法進(jìn)行方差分析，重新Analyze->GeneralLinearModel->Univariate打開(kāi)：選擇好DependentVariable和FixedFactor(s),點(diǎn)擊ModeI打開(kāi):點(diǎn)擊Custom，把主效應(yīng)變量species和pl

4、ot送入Model框，點(diǎn)擊Continue回到Univariate主對(duì)話框，點(diǎn)擊Plots：扌把date送入HorizontalAxis，扌把depth送入SeparateLines，點(diǎn)擊Add，點(diǎn)擊Continue回到Univariate對(duì)話框，點(diǎn)擊Options：把OVERALL,species,plot送入DisplayMeansfor框，選擇Comparemaineffects.Bonferroni，點(diǎn)擊Continue回到Univariate對(duì)話框,輸出結(jié)果:I&ssorEeriveen-Si切ecteFirectsjp3ndQrtV!ari2hi?wesdnpim(cm)S

5、ourceTypeIIISumfSquaresdfMoanSquareFSig.CorrectedUodel57126Jg6.3S11.160.003Intercept3234.0B213234.0822iaa.an.OOC33.16574.7393.089.03dpot24.2B1212.1307.909.005Error21.472141.534Total3312.9B024CorrectedTotal7S.SB823a.Rsquared=.728(WjusteaRsquarea=553可以看到：SSspecies=33.165,dfspecies=7,MSspecies=4.738；SS

6、plot=33.165,dfplot=7,MSplot=4.738；SSerror=21.472,dferror=14,MSerror=1.534；Fspecies=3.089，p=0.034<0.05;Fplot=12.130,p=0.005<0.01;所以故認(rèn)為在5%的置信水平上，不同樣地，不同物種之間的草高度是存在差異的。EstimatedMarginalMeans1.GrandMeanDependentVariable:weedheight(cm)MeanStd.Error95%ConfidenceIntervalLowerBoundUpperBound11.603.253

7、11.06612.151weedspeciesEstimatesJe卩enentVariable:weedheghl(cn)wpRdsppriesMeanStd.Error95%ConfidenceIntervalLcwepBoundUppeiBound111933.71594A012167212.367.71510.S3313.900311.367.7159.S3312.90r49.967.7150433n.sor511167.7151263315.70r611833.715930012.367711.867.7151033313inrS11.367.7159.S3312.900Univar

8、iateT-estsDr卩endentVariable:weedheightcmSumofSquaresdfMeanSquareFSig.Contrast3316574.7383.089.034Error21.472141.534TheFteststheeffectofweedspecies.Thistestisbasedonthelinearlyindependentpairwisecomparisonsamongtheestimatedmarginalmeans.該表說(shuō)明：SSspecies=33.165,dfspecies=7,MSspecies=4.738；SSerror=21.472

9、,dferror=14,MSerror=1.534；Fspecies=3.089,p=0.034<0.05;物種間存在差異：3.plotFstimErtesDApRrdentVariahiA-weedheight(cmiputMeanGta.Crior95%confidenceliterealLowerBou門討UpperBound110.388.4389.44811.327211.50343810.54812<27312.85043811.91113.789PairwiseComparisonsuperdentVanablt:weedheichticnn(1)Pot(J)plot

10、MeanDiTlersrceI-)Sid.ErrorSiQ.b95%ConfidenceInternalforDinerencebLowerSoundUpperSound12-1.20U.619.219-2.6B3,4d33-2.462".610.0D4-4.145-.700211.200.Eia.219-.4B22.QB33-1262.619.12-2.945.420312.462.619.034.7304.1越21.262.6101匕-4?02.915basedonEBtlrnatedmarginalmeans*.Tncn'eandiffcrcneessignifican

11、tatth,0tlevel.hidi11ctmdntfnrm11ItinlqrnmnricnncRnnfarrnniUiirvariateTestsD已卩endentVariable:weedheight(cm)SumofSquaresdfMeanSquareFSig.Contrast24.261212.1307.909.005Eiror21.472141.534TheFteststheeffectofplot.ThistestisbasedanthelinearlyindependentpairwiseconiparisoriEamangtheestimatedmarginalmears.S

12、Splot=33.165,dfplot=7,MSplot=4.738；SSerror=21.472,dferror=14,MSerror=1.534；Fplot=12.130,p=0.005<0.01;不同的物種間在差異：firEtili*nn«4M*nt那vwfcim咱E(cKNft-a-d1fra-citsProfilePlotsJr由邊際分布圖可知：類似結(jié)論：草的高度在不同樣地的條件之間有差異(Fplot=12.130,p=0.005<0.01),具體是，樣地一和樣地三之間存在的差異最大；八種不同草的高度也存在差異(Fspecies=3.089,p=0.034<

13、;0.05)，具體是第四種草和第五種草的差異最大。再次檢驗(yàn)不同種類草的高度差異：重新進(jìn)行方差分析，Analyze->GeneralLinearModel->Univariate：扌把species送入FixedFactor(s),扌把high送入DependentVariable,點(diǎn)擊Plots:把species送入HorizontalAxis，點(diǎn)擊Add，點(diǎn)擊Continue回到Univariate，點(diǎn)擊PostHoc（因?yàn)槲覀円呀?jīng)知道species效應(yīng)顯著）：把species送入PostHocTestsfor框，選擇Tukey,自旦EJPfiditEiJCDult£&

14、gt;CiftpAFlJ!OE:JfOF0l».曹醫(yī)噹H鶴圖jailPi-DuncanSWK星Tuln：,匚Tuways-flQuncsn1Ek?atae>4kJ-IBS5PS3?tatirticE：>vtiifiditvi-E«u3iVanan«sHstBBunwaTamhaic'sT2I2ZDimalftT3匚amas-HDADlDunncH-s匚;fm&iiiswQaiaIqnsiwm溯砂Dn&ci也命機(jī)叩如帕*扇業(yè)EwtjflpFoilHxT£l5-FaiEiiudiwahansSp9d8&LOBnrE

15、：naniBBt0ekScaffeR-E-G-k¥4=Hactd4N'sGTZR-E-G-A'-Oi魚ahfialCDunnsh.307211.fi41曲曲訛弭vanaUeMe*(BL4為F3E陰ItsIhtFracwsar5r«出IuiikkJe.ON工19輸出結(jié)果:TestsofBetween-SubjectsEffectsDe卩已nd已nt廿ai;atil已：訓(xùn)已已dh已ight(cm)SourceTypeIIISumofSquaresdfMeanSquareFSig.CorrectedModel33.165"14.7301.65B.190I

16、ntercept3234.03213234.0821131.457.000species33.16514.7381.658.190Error45.733162.853Total3312.93024CorrectedTotal70.89823a.RSquared=.420(AdjustedRSquared=.167)HomcgeneouaSLibeete卅電edlti電刨hHcit伸TukeyweedspeciesIISubset1i39967S31D.3331310.333311J6733112671311867j312.3675314.167Sig1D7M$an$TorgroupsInlia

17、mogeneauhiiutis-etsarediplard.Basedonotiservedmeans.TheerrortermisMeanSquareCErrar=朋釀日.UsesHarmonicMisanSize二J.ODO.h.phB=.D5.各組均值從小到大向下排列。最大的是第五組，最小的是第四組，其中有些種類草的高度存在差異，有些不存在。Proffl*Plots百匚苣包至p3n<.iE苗再次檢驗(yàn)不同樣地草的高度差異：過(guò)程和上相似：結(jié)果如下TestsoiEfrctisDependerutVariabIs:weedheight(cm)SourceTypeIIISunofSquare

18、sdfManSquareFSiq.corrsctsdModsl夢(mèng).氐L212.1JO<Q62.021Intercept3234.(1S213234QBS1243.024.nopl0124.261212.1304.662.021Error5463S212602Total3312.9UU24Double-clicktoarthjateCorrectedTotal7S.S9S233.RSquared.307(AdjustedRSquared=242)PostHocTestsHomogeneousSubsetsweedheight(cm)Tut時(shí)旳砧putNSubsei121E10.303201

19、1.56711.5B73E12.350Sig.317.2B2MeansfuigitupsirhoirugereiusSLbSdtsarydi沖時(shí)d.basedonobsen'ecnneans.IheerroitermisMeanSquaie(trror；=2.302.aUsesHapmonicMeanSampleSize-9.0GO.b.Alpha=.05.不同樣地的草高度存在差異，其中一樣地的草高度最短，3樣地的草高度最高，且三組之間都存在差異。FrofilaPlots2,data0807-flower，某種草的開(kāi)花初期高度在兩種溫度和兩個(gè)海拔之間有無(wú)差異？具體怎么差異的？多因素單因

20、變量方差分析通過(guò)Analyze->GeneralLinearModel->Univariate實(shí)現(xiàn)，把因變量height送入DependentVariable欄，把因素變量temperature和attitude送入FixedFactor(s)欄點(diǎn)擊Model選項(xiàng)卡，打開(kāi)：選著fullfactorial,type3,點(diǎn)擊）Includeinterceptinmodel。擊Plots對(duì)話框，打開(kāi)：可選擇attitude到HorizontalAxis,然后選擇temperature到HorizontalAxis，再選擇attitude到SeparateLines，Plots彳匡顯示at

21、titude,temperature,attitude*temperature，EstimatedMarginalMeans選擇OVERALL,產(chǎn)生邊際均值的均值Display框選擇要輸出的統(tǒng)計(jì)量，Descriptivestatistics描述統(tǒng)計(jì)量，Homogeneitytests方差齊性檢驗(yàn)。結(jié)果輸出:UnivariateAnalysisofVarianceBetween-SubjectsFactorsValueLabelNaltitude13200rri4423400m43temperaturelevel1T1472T240主效應(yīng)各因素各水平以及樣本量,DepgndenlVariable

22、:Descnuthstatisticsheighl(mm)tofloweraltitudetEmperaturelevelMean31d.DeviationN32DDmT11J6.7193065127T2135.D53.8734-7ToIhI142.211G.2431如34J0inT1137.5505.3582C21344612467625Tolal136.8984.313S43TolalT1142.81761776T21347131.9579町Toiai139D916217387各水平的均值和標(biāo)準(zhǔn)差。Levine'sTestofEqualityofErrorVariancesaDep

23、endentVariable:height(mm)toflowerFdf1df2Sig.9.5253S3.000T已ststh已nullhypothesisthatth已已itovarianceofthedu卩endentvariableisequalacrossgroups.a.D&sigri：Iritercept+altitude+temperature+altitude*temperature把樣本分為四組，進(jìn)行方差齊性檢驗(yàn)，方差不一致。TestsofBetween-SubjectsEffectsDopenclentWarimble:heighthtih)tjflowerSour

24、ceTypaIIISumofSquaresdfMeanSquareFSia.CorrectedModel2388.605a37G6.20270.622.000Intercept1619714.62611619714.626143667.239.000altitude503.1671503.16744.630000temperature1149.79811149.79S101.9B5000altilude*temperatupe388.106138b.40634.430.00JError935.743B311.274Total168648.270B7CorrededTalal3324.353B6

25、a.RSquared=.719(AdjustedRSquared=.708'可以看到：SSaltitude=503.167,dfaltitude=1,MSaltitude=503.167；SStemperature=1149.798，dftemperature=1，MStemperature=1149.798；SSinteraction=338.486,dfinteraction=1,MSinteraction=338.486；SSerror=935.748,dferror=83,MSerror=935.748；Faltitude=44.63，p=0.034<0.001;Ftem

26、perature=101.986,p=0.005<0.001;Ftemperature=101.986,<0.001;Finteraction=34.458，p<0.001;所以故認(rèn)為在0.1%的置信水平上，不同溫度，不同海拔之間的草高度是存在差異的。EstimatedMarginalMeans1.GrandMeanDependentvariable:height(mm)toflowerMeanStd.Enor95%ConfidenceIntervalLowerBoundUpperBound138.446.365137719139.172在四個(gè)樣本總體中，在95%的置信區(qū)間，

27、花的平均高度范圍為137.719到139.172之間。ZaltitudeEstimatesDependentVariable:height(mm3tofloweraltiiudeMeanStd.Error95%ConfidenceIntervalLowerBoundUpperBound3200m140.886.520139.852141.9203400m136.005.513134.985137.026在海拔為3200米處在95%的置信區(qū)間花的平均高度范圍為139.852到141.920之間，在海拔為3400米處在95%的置信區(qū)間花的平均高度范圍為134.985到137.036之|'間

28、PairwiseCamuarisonsDependentVariable:heqhtmn,)tolower0)allitud(J)altitudeMeanDifference(1J)Std.ErrorSig.h95ftConfidenceInlervalforDirerencebLowerboundupperEiourd3200m34001114.88.731.0003.4276.3333400m3200n-1-4.880X.731.000-6.3333.427Basedonestimatedmarginameans*Themeandifferenceissignificantstthe.05

29、level.b.Adjustmentformutiplecomparisons:LeastSignificantDifference(&quialerttonoadjustments).aititude各水平的邊際均值的多重比較在本試驗(yàn)中事實(shí)上口0:平均aititude(3200)=aititude(3400)；但是平均aititude(3200)花高度一平均aititude(3400)花高度，在95%置信區(qū)間為3.427到6.333.故均值存在差異。UnivariateTestsDependentVariable:height(mmtoflowerSumofSquaresdfMean

30、SquareFSig.ContrastError5Q3.167935748183503.10711.27444.63Q.ODQTheFteststheeffectofaltitude.Thistestisbasedonthelinearlyindependentpairwisecorridarisonsamongtheestimatedmarginalmeans.SSaltitude=503.167,dfaltitude=1,MSaltitude=503.167；SSerror=935.748,dferror=83,MSerror=935.748；Faltitude=44.63,P<0.

31、001.不同海拔的花高度不存在差異的的概率V0.001.3temperaturelevelEstimatesDe卩eridentVariable:height(mm)toflowertemperaturelevelMeanStd.Error95%ConfidenceIntervalLowerBoundUpperBoundT1142.134.495141.149143.119T2134.757.53?133.589135.825在溫度為T1處，在95%的置信區(qū)間，花的平均高度范圍為141.149到143.119之間。在溫度為T2處，在95%的置信區(qū)間，花的平均高度范圍為133.689到135.8

32、25之間。Pairwisecom|jarlsonsDgpgndantVariabls:h&ighi(mm)toflower(I)ternporaturGlevsI(J)tampgraturaI陽(yáng)IMeanDifferencie(1J)Std=IOiSlgh95%ConfidenceintervalTorDifference13LcvrerBoundUpperBound-T2f.377、.7310005.9248.8302T1377'.731.000-8.930-l.924Bassdonestimatedmarginalmasn占RThemeandlireranceissigni

33、ficantatthe.05b.Mjustmentformumplatorriparisons'Leastsignmcantlirerence(quNalenttonoaijustme-nts).溫度各水平的邊際均值的多重比較，在本試驗(yàn)中，事實(shí)上口）：（T1時(shí)，平均花高度）二（T2時(shí)，平均花高度）；但是（T1時(shí)，平均花高度）一（T2時(shí)，平均花高度），在95%置信區(qū)間為5.924到8.830,故均值存在差異，不接受H0假設(shè)。UnivariateTestsDependentVariable:height(mm)toflowerSumofSquaresdfMeanSquareFSig.ContrastError1149798935.7481831149.79811.274101.986.000TheFteststheeffectoftemperaturelevs.Thistestisbasedonthe