One Way ANOVA Post Hoc Tests in Excel - QI Macros

Post Hoc Tests · LSD - Fisher's Least Significant Difference · HSD - Tukey's Honestly Significant Difference reduces Type 1 error. · Scheffe's is the most ... SixSigma&SPCExcelAdd-in QIMacros30-DayTrial Questions?ContactUs Cart0 888-468-1537 CLOSE StatisticalAnalysisinQIMacros FREEQIMacros30-DayTrial StatisticsWizard DataNormality NormalProbabilityPlot AndersonDarlingtest HypothesisTests WhatisHypothesisTesting? NullvsAlternateHypothesis TypeiandiiRisk pvalues TestofMeans ANOVA OneWayANOVA OneWayANOVAPostHoc TwoWayANOVAWithoutReplication TwoWayANOVAWithReplication TwoWayANOVANestedWithReplication ANCOVA t-tests OneSamplettest Pairedttest-TwoSampleforMeans TwoSamplettest: EqualVariancesUnequalVariances z-tests z-testTwoSampleforMeans EquivalenceTests EquivalenceTest TwoOneSidedTestforEquivalence TestofVariances f-testTwoSample LevenesTest Variance-Test:one-sample TestofProportion TestofaProportion TestofTwoProportions TestRelationship Autocorrelation Chi-squareContingencyTable Chi-squareGoodnessofFit Correlation Covariance DescriptiveStatistics FisherExactTest RegressionAnalysis MultipleRegressionAnalysis LogisticRegression(Binary) AdjustedRSquared BoxCoxTransformation Non-parametrictests WhentoUseNon-parametrictests 1-samplesigntest Friedmantest Kolmogorov-Smirnovtest Kruskal-Wallistest Mann-Whitneytest Mood'sMedianTest Signtest Spearmantest TukeyQuicktest WilcoxonRankSumtest WilcoxonSignedRanktest Sampling AQLSamplingTables SampleSizeCalculator HypothesisTestingCheatSheet KnowledgeBase|OnlineUserGuide CLOSE CLOSE Free30-DayTrial WhyQIMacros? PowerfulSPCSoftwareforExcel WhoUsesQIMacros? WhatDoOurCustomersSay? QIMacrosSPCSoftwareReviews SPCSoftwareComparison KeyImprovementTools ControlChart HistogramwithCpCpk ParetoChart FishboneDiagram GageR&RMSA DataMiningTools StatisticalAnalysis SmartWizards LeanSixSigmaTools Support TechnicalSupport QIMacrosFAQs UpgradeHistory SubmitEnhancementRequest DataAnalysisServices FreeTraining FreeQIMacrosWebinar FreeQIMacrosVideoTutorials HowtoSetupExcelforQIMacros FreeLeanSixSigmaWebinars AnimatedLeanSixSigmaVideoTutorials FreeAgileLeanSixSigmaTrainerTraining FreeWhiteBeltTraining FreeYellowBeltTraining FREEResources QIMacrosResources QIMacrosKnowledgeBase|UserGuide ExcelTipsandTricks LeanSixSigmaResources QIMacrosMonthlyNewsletter ImprovementInsightsBlog ShopNow BuyQIMacros QuantityDiscountsandW9 HassleFreeGuarantee StatisticalAnalysisinQIMacros FREEQIMacros30-DayTrial StatisticsWizard DataNormality NormalProbabilityPlot AndersonDarlingtest HypothesisTests WhatisHypothesisTesting? NullvsAlternateHypothesis TypeiandiiRisk pvalues TestofMeans ANOVA OneWayANOVA OneWayANOVAPostHoc TwoWayANOVAWithoutReplication TwoWayANOVAWithReplication TwoWayANOVANestedWithReplication ANCOVA t-tests OneSamplettest Pairedttest-TwoSampleforMeans TwoSamplettest: EqualVariancesUnequalVariances z-tests z-testTwoSampleforMeans EquivalenceTests EquivalenceTest TwoOneSidedTestforEquivalence TestofVariances f-testTwoSample LevenesTest Variance-Test:one-sample TestofProportion TestofaProportion TestofTwoProportions TestRelationship Autocorrelation Chi-squareContingencyTable Chi-squareGoodnessofFit Correlation Covariance DescriptiveStatistics FisherExactTest RegressionAnalysis MultipleRegressionAnalysis LogisticRegression(Binary) AdjustedRSquared BoxCoxTransformation Non-parametrictests WhentoUseNon-parametrictests 1-samplesigntest Friedmantest Kolmogorov-Smirnovtest Kruskal-Wallistest Mann-Whitneytest Mood'sMedianTest Signtest Spearmantest TukeyQuicktest WilcoxonRankSumtest WilcoxonSignedRanktest Sampling AQLSamplingTables SampleSizeCalculator HypothesisTestingCheatSheet KnowledgeBase|OnlineUserGuide QIMacrosReviewsCNETFiveStarReviewIndustryLeadersOurCustomers Home » StatisticalAnalysisExcel »OneWayANOVAPostHoc One-WayANOVAPostHocTestsinExcel EvenNon-StatisticiansCanPerformANOVAPostHocTests Afteraone-wayANOVAfindsasignificantdifferenceinmeans,PostHoctestinghelpsidentifywhichofthedifferencesaresignificant. PostHocTests  PostHoctestscomparethedifferencesbetweenthemeanswithvariousfactorstoidentifysignificantdifferences.Thereareanumberofwaysthatthesefactorsaredetermined,butLSD,HSDandScheffe'sarethreeofthemorecommonones: LSD-Fisher'sLeastSignificantDifference HSD-Tukey'sHonestlySignificantDifferencereducesType1error. Scheffe'sisthemostconservativeofthethree   Note:Exceldoesnotdoposthoctests;QIMacrosaddsthisfunctionality. ExampleUsingQIMacrosAdd-inandDataFromMontgomery'sIntrotoSPCbook UsingthetensilestrengthdataincolumnsAtoF,QIMacroscalculationsareshownincolumnsGtoP.ThePostHoctestsareincellsM2:P8. InterpretationofResults Sincethep-valueislessthan0.05,theMeansareconsideredDifferent.IfthemeandifferenceisgreaterthanLSD,HSDorScheffe's,thedifferenceisconsideredsignificant. SinceScheffe>HSD>LSD,QIMacrosidentifiessignificantdifferencesbyshadingtheresultsasfollows: greaterthanScheffe'sitisshowninred lessthanScheffebutgreaterthanHSDitisshowninrose lessthanHSDbutgreaterthanLSD,itisshowninyellow lessthanLSD,noshading Intheexamplebelowthedifferencebetweenthesetensilestrengthsis: greaterthanScheffe(5.797)sotheyareshadedinred:5%and15%,5%and20% lessthanScheffe(5.797)butgreaterthanHSD(4.122)sotheyareshadedinrose:5%and10%,10%and20%,15%and20% lessthanHSD(4.122)butgreaterthanLSD(3.072)sotheyareshadedinyellow:none lessthanLSD(3.072)sotheyarenotshadedatall:10%and15% What'sCoolAboutQIMacrosOne-WayANOVAPostHocTests?  Unlikeotherstatisticalsoftware,QIMacrosistheonlySPCsoftwarethatcomparesthep-value(0.000)tothesignificance(0.05)andtellsyouto"RejecttheNullHypothesisbecausep<0.05"andthatthe"MeansareDifferent/MeansarenottheSame". ThenthePostHocteststellyouwhichdifferencesaresignificant. WhyChooseQIMacrosStatisticalSoftwareforExcel? 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