Domenica DiStasio Exercise 4 241Interpreting ANOVA Summary Tables1) Use the information in this ANOVA Summary Table to answer the questions below:Source Sum of Squaresdf MS F Sig.Sex 456.411 1 456.411 4.54 .0211Presentation 678.034 1 678.034 6.74 .0164Sex*Presentation 378.623 1 378.623 3.76 .0399Error 3620.143 36 100.559 Total 16612.712 39 20.414 a) Give the statistical statement for the main effect of Sex [F(df) ratio, p-value]: a). F(1,36)=4.54, P=0.0211b) Is there a significant main effect of Sex? Yes Nob). Yes ( p value < 0.05 level of significance)c) Give the statistical statement for the main effect of Presentation [F(df) ratio, p-value]:c). F(1,36)=6.74, P=0.0164d) Is there a significant main effect of Presentation? Yes No d). yes ( p value < 0.05 level of significance)e) Give the statistical statement for the interaction of Sex and Presentation [F(df) ratio, p-value]:e). F(1,36)=3.76, P=0.0399Domenica DiStasio Exercise 4 241f) Is there a significant interaction of Sex and Presentation? Yes Nof). yes ( p value < 0.05 level of significance)g) Given the information in the table above, how many levels of Presentation werethere? How many levels of Sex were there?g.) Presentation: 2 levelsSex: 2 levelsh) Given the information in the table above, what design was used in this study?h) 2x2 (2 by 2) factorial design used, repeated measures Use the information in the ANOVA printouts to answer the questions on the next page:Source SS df MS F-ratio Sig.Grade 64.445 1 64.445 2.05 .0311Organization 456.411 1 456.411 14.53 .0264Grade*Organization 342.572 1 342.572 10.90 .0199Error 1256.711 40 31.420 Total 2120.139 43 49.306 IV: Grade Dependent Variable: RecallDomenica DiStasio Exercise 4 241Grade Mean Std. ErrorSecondSixth8.5141.48941.4894IV: Organization Dependent Variable: Recall Organization Mean Std. ErrorOrderedRandom14.583.58053.5805Interaction of Grade * OrganizationGrade Organization Mean Std. ErrorSecond Ordered Random1345.25361.6949Sixth Ordered Random16121.78891.20602) Use the information in the ANOVA printouts on the previous page to answer thequestions below:a) Give the statistical statement for the main effect of Grade (use APA style):F (1,40) = 2.05, p = 0.0311b) If the effect is statistically significant, describe the main effect of Grade based on the means:Domenica DiStasio Exercise 4 241The sixth graders performed better on the task (M=14) than the second graders (M=8.5)c) Give the statistical statement for the main effect of Organization:F = (1,40) = 14.53, p = 0.0264d) If the effect is statistically significant, describe the main effect of Organization based on the means:The students performed better on the organized tasks (m=14.50 than the randomized tasks (M=8)e) Give the statistical information for the interaction of Grade and Organization:F = (1,40) = 10.9, p = 0.0199f) Generate a graph of the interaction means:024681012141618Ordere d RandomGrade LevelScoreg) If this is a significant interaction then describe the interaction in words:This is a significant interaction because the lines are not parallel (they would end up intersecting) and p < 0.05Source Sum of Squaresdf Mean SquareF ratio SigInitial Stress 273.067 1 273.067 22.14 .0000Error (b.s.) 222.000 18 12.33Hours 2000.833 2 1000.417 242.69 .0000Init * Hours 75.433 2 37.717 9.15 .001Error (w.s.) 148.400 36 4.122Domenica DiStasio Exercise 4 241Total 2719.733 59Measure: Stress ScoreInitial Stress Hours Mean Std ErrorHighModerate12312341.733.125.436.027.123.4.723.881.871.723.881.8713) Use the information in the ANOVA printouts on the previous page to answer the questions below:a) Give the statistical statement for the main effect of Initial Stress (use APA style):F = 22.14, p = 0.000b) If the effect is statistically significant, describe the main effect of Initial Stress based on the means:People with high initial stress after one hour of training have the highest stress score (M=41.7) out of the three groups (M=33.1 after two hours, and M=25.4 after three hours). It is evident that stress score decreases as initial stress decreases and hours of training increase. Individuals with moderate initial stress after one hour of training had higher stress scores (M=36.0) than individuals after two hours of training (M=27.1) and three hours of training (M=23.4).c) Give the statistical statement for the main effect of Hours of Training:F = (2,36) = 242.69, p = 0.000d) If the effect is statistically significant, describe the main effect of Hours of training based on the means:Those with more hours of training had lower stress scores: (M= 25.4 for high initial stress and M=23.4 for moderate initial stress)e) Give the statistical information for the interaction of Initial Stress and Hours of Training:F = (2,36) = 9.15, p = 0.001Domenica DiStasio Exercise 4 241f) Draw a graph of the interaction means:0.5 1 1.5 2 2.5 3 3.5051015202530354045High Mode rateHoursStress Scoreg) If this is a significant interaction then describe the interaction in words:There is a significant interaction because the lines are not parallel (they would meet and intersect around 3.2 hours) and p <