multiple range and multiple f tests

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时间:2018-02-10

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1、MultipleRangeandMultipleFTestsAuthor(s):DavidB.DuncanSource:Biometrics,Vol.11,No.1(Mar.,1955),pp.1-42Publishedby:InternationalBiometricSocietyStableURL:http://www.jstor.org/stable/3001478.Accessed:18/05/201305:26YouruseoftheJSTORarchiveindicatesyouracceptanceoftheTerms&ConditionsofUse,a

2、vailableat.http://www.jstor.org/page/info/about/policies/terms.jsp.JSTORisanot-for-profitservicethathelpsscholars,researchers,andstudentsdiscover,use,andbuilduponawiderangeofcontentinatrusteddigitalarchive.Weuseinformationtechnologyandtoolstoincreaseproductivityandfacilitatenewformsofsc

3、holarship.FormoreinformationaboutJSTOR,pleasecontactsupport@jstor.org..InternationalBiometricSocietyiscollaboratingwithJSTORtodigitize,preserveandextendaccesstoBiometrics.http://www.jstor.orgThiscontentdownloadedfrom158.182.12.55onSat,18May201305:26:04AMAllusesubjecttoJSTORTermsandCondi

4、tionsMULTIPLERANGEANDMULTIPLEFTESTS*DAVIDB.DUNCAN**VirginiaPolytechnicInstituteBlacksbhrg,Virginia1.INTRODUC'FIONThecommonpracticefortestingthehomogenieityofasetofntreatmentmeansinananalysisofvariainceistouiseanF(orz)test.Thisprocedurehasspecialdesirablepropertiesfortestingthehomo-genei

5、tyhypothesisthatthenpopulationmeansconcernedareequal.AnFtestalone,however,generallyfallsshortofsatisfyingallofthepracticalrequirementsinvolved.Whenitrejectsthehomogeneityhypothesis,itgivesnodecisionsastowhichofthedifferencesamongthetreatmentmeansmaybeconsideredsiginificantandwhichmaynot

6、.Toillustrate,TableIshowsresultsofabarleygrainyieldexperimentconductedbyE.ShulkcumofthisInstituteatAccomac,Virginia,in1951.Sevenvarieties,A,B,.,G,werereplicatedsixtimesinarandomizedblockdesign.TheFratio(insectionb)fortestingthehomogeneityofthevarietalmeansishighlysignificant.Thisindicat

7、esthatoneormoreofthedifferencesamongthemeansaresignificantbutitdoesnotspecifywhichones.TABLEI.BARLEYGRAINYIELDSINBUSHELSPERACREa)VarietalMeansRankedinOrderAFGDCBE49.658.161.061.567.671.271.3b)AnalysisofVarianceSourced.f.m1s.FBetweenvarieties6366.974.61**BetweeInblocks5141.95Err

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《multiple range and multiple f tests》由会员上传分享,免费在线阅读,更多相关内容在工程资料-天天文库

1、MultipleRangeandMultipleFTestsAuthor(s):DavidB.DuncanSource:Biometrics,Vol.11,No.1(Mar.,1955),pp.1-42Publishedby:InternationalBiometricSocietyStableURL:http://www.jstor.org/stable/3001478.Accessed:18/05/201305:26YouruseoftheJSTORarchiveindicatesyouracceptanceoftheTerms&ConditionsofUse,a

2、vailableat.http://www.jstor.org/page/info/about/policies/terms.jsp.JSTORisanot-for-profitservicethathelpsscholars,researchers,andstudentsdiscover,use,andbuilduponawiderangeofcontentinatrusteddigitalarchive.Weuseinformationtechnologyandtoolstoincreaseproductivityandfacilitatenewformsofsc

3、holarship.FormoreinformationaboutJSTOR,pleasecontactsupport@jstor.org..InternationalBiometricSocietyiscollaboratingwithJSTORtodigitize,preserveandextendaccesstoBiometrics.http://www.jstor.orgThiscontentdownloadedfrom158.182.12.55onSat,18May201305:26:04AMAllusesubjecttoJSTORTermsandCondi

4、tionsMULTIPLERANGEANDMULTIPLEFTESTS*DAVIDB.DUNCAN**VirginiaPolytechnicInstituteBlacksbhrg,Virginia1.INTRODUC'FIONThecommonpracticefortestingthehomogenieityofasetofntreatmentmeansinananalysisofvariainceistouiseanF(orz)test.Thisprocedurehasspecialdesirablepropertiesfortestingthehomo-genei

5、tyhypothesisthatthenpopulationmeansconcernedareequal.AnFtestalone,however,generallyfallsshortofsatisfyingallofthepracticalrequirementsinvolved.Whenitrejectsthehomogeneityhypothesis,itgivesnodecisionsastowhichofthedifferencesamongthetreatmentmeansmaybeconsideredsiginificantandwhichmaynot

6、.Toillustrate,TableIshowsresultsofabarleygrainyieldexperimentconductedbyE.ShulkcumofthisInstituteatAccomac,Virginia,in1951.Sevenvarieties,A,B,.,G,werereplicatedsixtimesinarandomizedblockdesign.TheFratio(insectionb)fortestingthehomogeneityofthevarietalmeansishighlysignificant.Thisindicat

7、esthatoneormoreofthedifferencesamongthemeansaresignificantbutitdoesnotspecifywhichones.TABLEI.BARLEYGRAINYIELDSINBUSHELSPERACREa)VarietalMeansRankedinOrderAFGDCBE49.658.161.061.567.671.271.3b)AnalysisofVarianceSourced.f.m1s.FBetweenvarieties6366.974.61**BetweeInblocks5141.95Err

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