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Single Factor Analysis of Variance (ANOVA) - Louisiana Tech PDF

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TheSituation TestStatistic ComputingtheQuantities Single Factor Analysis of Variance (ANOVA) BerndSchro¨der logo1 BerndSchro¨der LouisianaTechUniversity,CollegeofEngineeringandScience SingleFactorAnalysisofVariance(ANOVA) 1. Dataissampledfrommultiplepopulationsorfrom experimentswithmultipletreatments. Multiplemeans “morethantwo.”Fortwo,wecanusehypothesistests(the exacttestsarenotcoveredinthiscourse). 2. Thecharacteristicthatdifferentiates populations/treatmentsiscalledthefactor. Thedifferent treatmentsorpopulationsarethelevelsofthefactor. 3. Examples. (cid:73) Testingdifferentlevelsofmedication/toxinsetc. foreffect. (cid:73) Testingdifferentsoilsamplesformineralcontent. (cid:73) Testingthefrequencyofagivenalleleindifferent races/ethnicgroups. TheSituation TestStatistic ComputingtheQuantities ANOVA Analyzes Responses from Several Experiments or Treatments logo1 BerndSchro¨der LouisianaTechUniversity,CollegeofEngineeringandScience SingleFactorAnalysisofVariance(ANOVA) Multiplemeans “morethantwo.”Fortwo,wecanusehypothesistests(the exacttestsarenotcoveredinthiscourse). 2. Thecharacteristicthatdifferentiates populations/treatmentsiscalledthefactor. Thedifferent treatmentsorpopulationsarethelevelsofthefactor. 3. Examples. (cid:73) Testingdifferentlevelsofmedication/toxinsetc. foreffect. (cid:73) Testingdifferentsoilsamplesformineralcontent. (cid:73) Testingthefrequencyofagivenalleleindifferent races/ethnicgroups. TheSituation TestStatistic ComputingtheQuantities ANOVA Analyzes Responses from Several Experiments or Treatments 1. Dataissampledfrommultiplepopulationsorfrom experimentswithmultipletreatments. logo1 BerndSchro¨der LouisianaTechUniversity,CollegeofEngineeringandScience SingleFactorAnalysisofVariance(ANOVA) Fortwo,wecanusehypothesistests(the exacttestsarenotcoveredinthiscourse). 2. Thecharacteristicthatdifferentiates populations/treatmentsiscalledthefactor. Thedifferent treatmentsorpopulationsarethelevelsofthefactor. 3. Examples. (cid:73) Testingdifferentlevelsofmedication/toxinsetc. foreffect. (cid:73) Testingdifferentsoilsamplesformineralcontent. (cid:73) Testingthefrequencyofagivenalleleindifferent races/ethnicgroups. TheSituation TestStatistic ComputingtheQuantities ANOVA Analyzes Responses from Several Experiments or Treatments 1. Dataissampledfrommultiplepopulationsorfrom experimentswithmultipletreatments. Multiplemeans “morethantwo.” logo1 BerndSchro¨der LouisianaTechUniversity,CollegeofEngineeringandScience SingleFactorAnalysisofVariance(ANOVA) 2. Thecharacteristicthatdifferentiates populations/treatmentsiscalledthefactor. Thedifferent treatmentsorpopulationsarethelevelsofthefactor. 3. Examples. (cid:73) Testingdifferentlevelsofmedication/toxinsetc. foreffect. (cid:73) Testingdifferentsoilsamplesformineralcontent. (cid:73) Testingthefrequencyofagivenalleleindifferent races/ethnicgroups. TheSituation TestStatistic ComputingtheQuantities ANOVA Analyzes Responses from Several Experiments or Treatments 1. Dataissampledfrommultiplepopulationsorfrom experimentswithmultipletreatments. Multiplemeans “morethantwo.”Fortwo,wecanusehypothesistests(the exacttestsarenotcoveredinthiscourse). logo1 BerndSchro¨der LouisianaTechUniversity,CollegeofEngineeringandScience SingleFactorAnalysisofVariance(ANOVA) Thedifferent treatmentsorpopulationsarethelevelsofthefactor. 3. Examples. (cid:73) Testingdifferentlevelsofmedication/toxinsetc. foreffect. (cid:73) Testingdifferentsoilsamplesformineralcontent. (cid:73) Testingthefrequencyofagivenalleleindifferent races/ethnicgroups. TheSituation TestStatistic ComputingtheQuantities ANOVA Analyzes Responses from Several Experiments or Treatments 1. Dataissampledfrommultiplepopulationsorfrom experimentswithmultipletreatments. Multiplemeans “morethantwo.”Fortwo,wecanusehypothesistests(the exacttestsarenotcoveredinthiscourse). 2. Thecharacteristicthatdifferentiates populations/treatmentsiscalledthefactor. logo1 BerndSchro¨der LouisianaTechUniversity,CollegeofEngineeringandScience SingleFactorAnalysisofVariance(ANOVA) 3. Examples. (cid:73) Testingdifferentlevelsofmedication/toxinsetc. foreffect. (cid:73) Testingdifferentsoilsamplesformineralcontent. (cid:73) Testingthefrequencyofagivenalleleindifferent races/ethnicgroups. TheSituation TestStatistic ComputingtheQuantities ANOVA Analyzes Responses from Several Experiments or Treatments 1. Dataissampledfrommultiplepopulationsorfrom experimentswithmultipletreatments. Multiplemeans “morethantwo.”Fortwo,wecanusehypothesistests(the exacttestsarenotcoveredinthiscourse). 2. Thecharacteristicthatdifferentiates populations/treatmentsiscalledthefactor. Thedifferent treatmentsorpopulationsarethelevelsofthefactor. logo1 BerndSchro¨der LouisianaTechUniversity,CollegeofEngineeringandScience SingleFactorAnalysisofVariance(ANOVA) (cid:73) Testingdifferentlevelsofmedication/toxinsetc. foreffect. (cid:73) Testingdifferentsoilsamplesformineralcontent. (cid:73) Testingthefrequencyofagivenalleleindifferent races/ethnicgroups. TheSituation TestStatistic ComputingtheQuantities ANOVA Analyzes Responses from Several Experiments or Treatments 1. Dataissampledfrommultiplepopulationsorfrom experimentswithmultipletreatments. Multiplemeans “morethantwo.”Fortwo,wecanusehypothesistests(the exacttestsarenotcoveredinthiscourse). 2. Thecharacteristicthatdifferentiates populations/treatmentsiscalledthefactor. Thedifferent treatmentsorpopulationsarethelevelsofthefactor. 3. Examples. logo1 BerndSchro¨der LouisianaTechUniversity,CollegeofEngineeringandScience SingleFactorAnalysisofVariance(ANOVA) (cid:73) Testingdifferentsoilsamplesformineralcontent. (cid:73) Testingthefrequencyofagivenalleleindifferent races/ethnicgroups. TheSituation TestStatistic ComputingtheQuantities ANOVA Analyzes Responses from Several Experiments or Treatments 1. Dataissampledfrommultiplepopulationsorfrom experimentswithmultipletreatments. Multiplemeans “morethantwo.”Fortwo,wecanusehypothesistests(the exacttestsarenotcoveredinthiscourse). 2. Thecharacteristicthatdifferentiates populations/treatmentsiscalledthefactor. Thedifferent treatmentsorpopulationsarethelevelsofthefactor. 3. Examples. (cid:73) Testingdifferentlevelsofmedication/toxinsetc. foreffect. logo1 BerndSchro¨der LouisianaTechUniversity,CollegeofEngineeringandScience SingleFactorAnalysisofVariance(ANOVA) (cid:73) Testingthefrequencyofagivenalleleindifferent races/ethnicgroups. TheSituation TestStatistic ComputingtheQuantities ANOVA Analyzes Responses from Several Experiments or Treatments 1. Dataissampledfrommultiplepopulationsorfrom experimentswithmultipletreatments. Multiplemeans “morethantwo.”Fortwo,wecanusehypothesistests(the exacttestsarenotcoveredinthiscourse). 2. Thecharacteristicthatdifferentiates populations/treatmentsiscalledthefactor. Thedifferent treatmentsorpopulationsarethelevelsofthefactor. 3. Examples. (cid:73) Testingdifferentlevelsofmedication/toxinsetc. foreffect. (cid:73) Testingdifferentsoilsamplesformineralcontent. logo1 BerndSchro¨der LouisianaTechUniversity,CollegeofEngineeringandScience SingleFactorAnalysisofVariance(ANOVA)

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experiments with multiple treatments. Bernd Schröder. Louisiana Tech University, College of Engineering and Science. Single Factor Analysis of Variance
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