3-24 Two Factor ANOVA.xlsx - 3-hour review 1-day program...

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BusinessEngineeringArts & SciencesFactorsPreparation Program; Undergraduate College3-hour review500540480Treatments of Factor 13-hour, 1-day, and 10-week580460400Treatments of Factor 2Business, Engineering, and Arts & Sciences1-day program460560420Experimental UnitsStudents540620480Response VariableGMAT Score10-week course560600480600580410# of replications = 2(i.e., Rows per sample)Step 1Develop HypothesesPut the data analysis output here (I12)Main Effect - 1st FactorPreparation ProgramAnova: Two-Factor With Replicationmu(3H)=mu(1D)=mu(10W)mu(3H)=/=mu(1D), or mu(3H)=/=mu(10W), or mu(1D)=/=mu(10W)SUMMARYBusinessEngineeringArts and ScieTotalMain Effect - 2nd FactorUndergraduate College3-hour reviewmu(Bus)=mu(Eng)=mu(AS)Count2226mu(Bus)=/=mu(Eng), or mu(Bus)=/=mu(AS), or mu(Eng)=/=mu(AS)Sum108010008802960Interaction EffectProgram*CollegeAverage540500440493.3Interaction(Program*College)=0Variance3200320032003946.7Interaction(Program*College)=/=01-day programStep 2Count22260.05Sum100011809003080Average500590450513.3Variance3200180018005386.7Step 3Compute the Test Statistic (F)1st Main Effect2nd Main EffectInteraction Effect10-week courseTest Statistic =1.38310.2701.270Count2226Sum116011808903230Average580590445538.3Step 4Determine the Critical ValueVariance80020024505936.71st Main Effect2nd Main EffectInteraction EffectCritical Value =4.2564.2563.633TotalCount666Sum324033602670Step 5Compute the p-valueAverage5405604451st Main Effect2nd Main EffectInteraction EffectVariance272032001510p-value0.2990.0050.350ANOVAStep 6Source of Variation

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Term
Fall
Professor
NoProfessor
Tags
Statistics, Statistical hypothesis testing, Graduate Management Admission Test, main effect, 2nd Factor Undergraduate College

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