Revision 1 00Date June2001 6西格玛绿带培训MaterialsTWO 第二天 TestsofHypothesesWeek1recapofStatisticsTerminologyIntroductiontoStudentTdistributionExampleinusingStudentTdistributionSummaryofformulaforConfidenceLimitsIntroductiontoHypothesisTestingTheelementsofHypothesisTesting Break LargesampleTestofHypothesisaboutapopulationmeanp Values theobservedsignificancelevelsSmallsampleTestofHypothesisaboutapopulationmeanMeasuringthepowerofhypothesistestingCalculatingTypeIIErrorprobabilitiesHypothesisExerciseI Lunch HypothesisExerciseIPresentationComparing2populationMeans IndependentSamplingComparing2populationMeans PairedDifferenceExperimentsComparing2populationProportions F Test Break HypothesisTestingExerciseII paperclip HypothesisTestingPresentation第一天wrapup 第二天 Analysisofvariance和simplelinearregressionChi square AtestofindependenceChi square InferencesaboutapopulationvarianceChi squareexerciseANOVA AnalysisofvarianceANOVA Analysisofvariancecasestudy Break TestingthefittnessofaprobabilitydistributionChi square agoodnessoffittestTheKolmogorov SmirnovTestGoodnessoffitexerciseusingdiceResult和discussiononexercise Lunch Probabilistic关系hipofaregressionmodelFittingmodelwithleastsquareapproachAssumptions和varianceestimatorMakinginferenceabouttheslopeCoefficientofCorrelation和DeterminationExampleofsimplelinearregressionSimplelinearregressionexercise usingstatapult Break Simplelinearregressionexercise con t Presentationofresults第二天wrapup Day3 Multipleregression和modelbuildingIntroductiontomultipleregressionmodelBuildingamodelFittingthemodelwithleastsquaresapproachAssumptionsformodelUsefulnessofamodelAnalysisofvarianceUsingthemodelforestimation和predictionPitfallsinpredictionmodel Break Multipleregressionexercise statapult Presentationformultipleregressionexercise Lunch Qualitativedata和dummyvariablesModelswith2ormorequantitativeindependentvariablesTestingthemodelModelswithonequalitativeindependentvariableComparingslopes和responsecurve Break ModelbuildingexampleStepwiseregression anapproachtoscreenoutfactorsDay3wrapup Day4 设计ofExperimentOverviewofExperimentalDesignWhatisadesignedexperimentObjectiveofexperimental设计和itscapabilityinidentifyingtheeffectoffactorsOnefactoratatime OFAT versus设计ofexperiment DOE formodellingOrthogonality和itsimportancetoDOEH和calculationforbuildingsimplelinearmodelType和usesofDOE i e linearscreening linearmodelling 和non linearmodelling OFATversusDOE和itsimpactinascreeningexperimentTypesofscreeningDOEs Break PointstonotewhenconductingDOEScreeningDOEexerciseusingstatapultInterpretatingthescreeningDOE sresult Lunch ModellingDOE Fullfactoriawithinteractions InterpretinginteractionoffactorsParetooffactorssignificanceGraphicalinterpretationofDOEresults某些rulesofthumbinDOE实例ofModellingDOE和itsanalysis Break ModellingDOEexercisewithstatapultTargetpractice和confirmationrunDay4wrapup Day5 Statistical流程ControlWhatisStatistical流程ControlControlchart thevoiceofthe流程流程controlversus流程capabilityTypesofcontrolchartavailable和itsapplicationObservingtrendsforcontrolchartOutofControlreactionIntroductiontoXbarRChartXbarRChartexampleAssignable和ChancecausesinSPCRuleofthumbforSPCruntest Break XbarRChartexercise usingDice IntroductiontoXbarSChartImplementingXbarSChart为什么XbarSChart IntroductiontoIndividualMovingRangeChartImplementingIndividualMovingRangeChart为什么XbarSChart Lunch Choosingthesub groupChoosingthecorrectsamplesizeSamplingfrequencyIntroductiontocontrolchartsforattributedatanpCharts pCharts cCharts uCharts Break Attributecontrolchartexercise paperclip OutofcontrolnotnecessarilyisbadDay5wrapup RecapofStatisticalTerminology AreaunderaNormalDistribution 流程capabilitypotential CpBasedontheassumptionsthat 流程isnormal Itisa2 sidedspecification 流程meaniscenteredtothedevicespecification Spreadinspecification Naturaltolerance 流程CapabilityIndex Cpk Basedontheassumptionthatthe流程isnormal和incontrol2 Anindexthatcomparethe流程centerwithspecificationcenter Thereforewhen Cpk Cp then流程isnotcentered Cpk Cp then流程iscentered The流程ofcollecting presenting和describingsampledata usinggraphical工具和numbers ParetoChartPopulationmeanHistogramPopulation标准偏差 DescriptiveStatistics ProbabilityTheory Probabilityisthechanceforaneventtooccur Statisticaldependence independencePosteriorprobabilityRelativefrequencyMakedecisionthroughprobabilitydistributions i e Binomial Poisson Normal InferentialStatistics The流程ofinterpretingthesampledatatodrawconclusionsaboutthepopulationfromwhichthesamplewastaken ConfidenceInterval Determineconfidencelevelforasamplingmeantofluctuate T Test和F Test Determineiftheunderlyingpopulationsissignificantlydifferentintermsofthemeans和variations Chi SquareTestofIndependence Testifthesampleproportionsaresignificantlydifferent Correlation和Regression Determineif关系hipbetweenvariablesexists 和generatemodelequationtopredicttheoutcomeofasingleoutputvariable CentralLimitTheorem 某些takeawaysforsamplesize和samplingdistribution PercentilesofthetDistribution Whereby df Degreeoffreedom n samplesize 1Shadedarea one tailedprobabilityofoccurencea 1 ShadedareaApplicablewhen Samples