Factor Analysis RM ANOVA Between-Subjects Factors Value Label N Diet assigned to participant 1 None 60 2 Atkins 60 3 Vegetarian 60 Exercise level assigned to participant 1 None 60 2 30 minutes per day...

need a hypothesis and 2 way anova results output for the attached


Factor Analysis RM ANOVA Between-Subjects Factors Value Label N Diet assigned to participant 1 None 60 2 Atkins 60 3 Vegetarian 60 Exercise level assigned to participant 1 None 60 2 30 minutes per day 60 3 60 minutes per day 60 Tests of Between-Subjects Effects Dependent Variable: Observed weigth loss in kilos over last 2 months Source Type III Sum of Squares df Mean Square F Sig. Corrected Model 1905.037a 8 238.130 27.647 .000 Intercept 3624.868 1 3624.868 420.844 .000 diet 363.904 2 181.952 21.124 .000 exercise 1508.859 2 754.429 87.589 .000 diet * exercise 32.274 4 8.069 .937 .444 Error 1472.879 171 8.613 Total 7002.784 180 Corrected Total 3377.916 179 a. R Squared = .564 (Adjusted R Squared = .544) Post Hoc Tests Diet assigned to participant Multiple Comparisons Dependent Variable: Observed weigth loss in kilos over last 2 months Tukey HSD (I) Diet assigned to participant (J) Diet assigned to participant Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval Lower Bound Upper Bound None Atkins -1.469* .5358 .018 -2.736 -.202 Vegetarian -3.469* .5358 .000 -4.736 -2.202 Atkins None 1.469* .5358 .018 .202 2.736 Vegetarian -2.000* .5358 .001 -3.267 -.733 Vegetarian None 3.469* .5358 .000 2.202 4.736 Atkins 2.000* .5358 .001 .733 3.267 Based on observed means. The error term is Mean Square(Error) = 8.613. *. The mean difference is significant at the 0.05 level. Homogeneous Subsets Observed weigth loss in kilos over last 2 months Tukey HSDa,b Diet assigned to participant N Subset 1 2 3 None 60 2.841 Atkins 60 4.311 Vegetarian 60 6.311 Sig. 1.000 1.000 1.000 Means for groups in homogeneous subsets are displayed. Based on observed means. The error term is Mean Square(Error) = 8.613. a. Uses Harmonic Mean Sample Size = 60.000. b. Alpha = 0.05. Exercise level assigned to participant Multiple Comparisons Dependent Variable: Observed weigth loss in kilos over last 2 months Tukey HSD (I) Exercise level assigned to participant (J) Exercise level assigned to participant Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval Lower Bound Upper Bound None 30 minutes per day -.289 .5358 .852 -1.556 .978 60 minutes per day -6.281* .5358 .000 -7.548 -5.014 30 minutes per day None .289 .5358 .852 -.978 1.556 60 minutes per day -5.992* .5358 .000 -7.259 -4.725 60 minutes per day None 6.281* .5358 .000 5.014 7.548 30 minutes per day 5.992* .5358 .000 4.725 7.259 Based on observed means. The error term is Mean Square(Error) = 8.613. *. The mean difference is significant at the 0.05 level. Homogeneous Subsets Observed weigth loss in kilos over last 2 months Tukey HSDa,b Exercise level assigned to participant N Subset 1 2 None 60 2.297 30 minutes per day 60 2.587 60 minutes per day 60 8.579 Sig. .852 1.000 Means for groups in homogeneous subsets are displayed. Based on observed means. The error term is Mean Square(Error) = 8.613. a. Uses Harmonic Mean Sample Size = 60.000. b. Alpha = 0.05. 2 Way ANOVA