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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
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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
