analysis of variance tests教学课件英语.pptVIP

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CHAPTER12

AnalysisofVarianceTeststoaccompanyIntroductiontoBusinessStatisticsfourthedition,byRonaldM.WeiersPresentationbyPriscillaChaffe-Stengel DonaldN.Stengel ?2002TheWadsworthGroup

Chapter12-LearningObjectivesDescribetherelationshipbetweenanalysisofvariance,thedesignofexperiments,andthetypesofapplicationstowhichtheexperimentsareapplied.Differentiateone-way,randomizedblock,andtwo-wayanalysisofvariancetechniques.Arrangedataintoaformatthatfacilitatestheiranalysisbytheappropriateanalysisofvariancetechnique.Usetheappropriatemethodsintestinghypothesesrelativetotheexperimentaldata.?2002TheWadsworthGroup

Chapter12-KeyTermsFactorlevel,treatment,block,interactionWithin-groupvariationBetween-groupvariationCompletelyrandomizeddesignRandomizedblockdesignTwo-wayanalysisofvariance,factorialexperimentSumofsquares:TreatmentErrorBlockInteractionTotal?2002TheWadsworthGroup

Chapter12-KeyConceptsDifferencesinoutcomesonadependentvariablemaybeexplainedtosomedegreebydifferencesintheindependentvariables.Variationbetweentreatmentgroupscapturestheeffectofthetreatment.Variationwithintreatmentgroupsrepresentsrandomerrornotexplainedbytheexperimentaltreatments.?2002TheWadsworthGroup

One-WayANOVAPurpose:Examinestwoormorelevelsofanindependentvariabletodetermineiftheirpopulationmeanscouldbeequal.Hypotheses:H0:μ1=μ2=...=μt*H1:Atleastoneofthetreatmentgroupmeansdiffersfromtherest.ORAtleasttwoofthepopulationmeansarenotequal. *wheret=numberoftreatmentgroupsorlevels?2002TheWadsworthGroup

One-WayANOVA,cont.Formatfordata:Dataappearinseparatecolumnsorrows,organizedastreatmentgroups.Samplesizeofeachgroupmaydiffer.Calculations:SST=SSTR+SSE (definitionsfollow)Sumofsquarestotal(SST)=sumofsquareddifferencesbetweeneachindividual

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