PSY520 – Module 6 Answer Sheet/ GCU PSY 520

PSY520 – Module 6 Answer SheetPSY520 – Module 6 Answer Sheet Submit your answers in the boxes provided. No credit will be given for responses not found in the correct answer area. Chapter 16: 16.9 Given the aggression scores below for Outcome A of the sleep deprivation experiment, verify that, as suggested earlier, these mean differences shouldn’t be taken seriously by testing the null hypothesis at the .05 level of significance. Use the computation formulas for the various sums of squares and summarize results with an ANOVA table. Zero Twenty-Four Forty-Eight 3 4 2 5 8 4 7 6 6 Group Mean: 5 6 4 Grand Mean: 5 Question: Steps: Calculations or Logic: Answer: Use the computation formulas for the various sums of squares and summarize results with an ANOVA table. What is the research hypothesis? H1:H0 = false What is the null hypothesis? H0:M0 = M24 = M48 What are the degrees of freedom? 9 – 1 = 8 8 What is the calculated SSbetween ? SS ∑ T 2 G 2 between = n - N (15 )2 (18 )2 (12) 2 3 + 3 + 3 ] - (45) 2 9 225 324 144 [ 3 + 3 + 3 ] - 2025 9 [75 + 108 + 48] – 225 = 231 – 225 = 6 6 What is the calculated SSwithin ? SS ∑ x2 - ∑ T 2 within = n (3)2 + (5)2 + (7)2 + (4)2 + (8)2 + (6)2 + (2)2 (15 )2 (18 )2 + (4)2 + (6)2 – [ + 3 3 (12) 2 + 3 ] 9+25+49+16+64+36+4+16+36 – 24 [75+108+48] 255-231=24 What is the calculated SS total = ∑ x2 - G 2 N 30 SStotal ? 255-225=30 What is the calculated MSbetween ? 3 What is the calculated MSerror ? 4 What is the F? 0.75 Complete the ANOVA table: Source SS df MS F Ratio Treatment (between) 6 2 3 0.75 Error (within) 24 6 4 Total 30 8 16.10 Another psychologist conducts a sleep deprivation experiment. For reasons beyond his control, unequal numbers of subjects occupy the different groups. (Therefore, when calculating in SS between and SS within , you must adjust the denominator term, n , to reflect the unequal numbers of subjects in the group totals.) Zero Twenty-Four Forty-Eight 1 4 7 3 7 12 6 5 10 2 9 1 Summarize the results with an ANOVA table. You need not do a step-by-step hypothesis test procedure: Source SS df MS F Treatment (between) 106.05 2 53.03 13.69 Error (within) 34.87 9 3.87 Total 140.92 11 ANOVA Source of Variation SS df MS F P-value F crit 0. 4. Between Groups 106.05 2 53.025 13. 0 9 34. 3. Within Groups 7 9 4 140. Total 7 11 Question: Calculations or Logic: Answer: Are the results statistically significant? Yes or no? No If appropriate, estimate the effect size with η2 0.