Group 1 | Group 2 | Group 3 | Total | |
Sum | 3 | 12 | 21 | 36 |
Count | 6 | 6 | 6 | 18 |
Mean, Sum/n | 0.5 | 2 | 3.5 | |
Sum of square, Ʃ(xᵢ-x̅)² | 7.5 | 4 | 3.5 |
12)
Number of treatment, k = 3
Total sample Size, N = 18
df(between) = k-1 = 2
df(within) = N-k = 15
df(total) = N-1 = 17
Answer: dfwn = 15; dfbn = 2
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Q13:
SS(between) = (Sum1)²/n1 + (Sum2)²/n2 + (Sum3)²/n3 - (Grand Sum)²/ N = 27
SS(within) = SS1 + SS2 + SS3 = 15
SS(total) = SS(between) + SS(within) = 42
MS(between) = SS(between)/df(between) = 13.5
MS(within) = SS(within)/df(within) = 1
Answer: MSbn = 13.5; MSwn = 1
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Q14:
F = MS(between)/MS(within) = 13.50
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Q15:
Critical value Fc = F.INV.RT(0.05, 2, 15) = 3.68
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Q16:
Reject Ho. result is significant.
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Q17:
Answer: Type I error
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Q18:
Answer: Yes
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Q19:
Answer: p < .05
Is there a difference among the 3 treatments in the table below? Test using a -...
Is there a difference among the 3 treatments in the table below? Test using α = .05 Complete the ANOVA table that follows as an aid (Recommend doing so on a separate sheet of paper, or separate document), then answer the questions that follow. Treatment A Treatment B Treatment C 0 2 4 ∑X2 = 114 0 3 2 G = 36 0 1 4 N = 18 3 3 3 k = 3 0 2 4 0 1 4...
Treatment A Treatment B Treatment C 0 2 4 x2 = 114 0 3 G= 36 N o 1 4 N = 18 3 3 k=3 3 4 0 N 0 1 1 4 SS1 = 7.5 SS2 = 4 SS3 = 3.5 df F Source Between Within Total Sums of Squares SSbn SSwn Mean Square MSbn F dfon dfwn MSwn SStot SStot SSwn SSon SStot-114; SSwn - 15; SSbn = 99 SStot-42; SSwn = 15; SSbn - 27 Stot-42:...
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The following data are from an independent-measures experiment comparing the effects insomnia treatments on the amount of sleep participants acquire. The data below show the number of hours a participant slept in a single night. Treatment 1 is the control condition, Treatment 2 is a behavioral therapy, and Treatment 3 is the administration of sleep aids. Treatment 1 Treatment 2 Treatment 3 ZX2 = 114 4 ss 7.5 T 12 SS 4 T= 21 SS 3.5 ESTION 21 Complete the...
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(1) A psychologist would like to examine the relative effectiveness of 3 treatments for mild phobias. A sample of N=12 individuals who display a moderate fear of spiders is obtained. These individuals are randomly assigned (with n=4) to each of the 3 treatments. The dependent variable is a measure of reported fear of spiders after treatment. The data are as follows: (Treatment 1) 0 4 0 4 (Treatment 2) 1 5 4 2 (Treatment 3) 8 5 6 9 a....
5. Hypothesis testing with ANOVA Aa Aa E Opinions about whether caffeine enhances test performance differ. You design a study to test the impact of drinks with different caffeine contents on students' test-taking abilities. You choose 21 students at random from your introductory psychology course to participate in your study. You randomly assign each student to one of three drinks, each with a different caffeine concentration, such that there are seven students assigned to each drink. You then give each...
Does training in study skills make a difference for student success? 8 students received training (M1= 85, SS1= 100) and 8 students did not (M2= 80, SS2= 124). Test using α = .05 s(M1-M2) = 8 2 4 1
The following data are from an independent-measures experiment comparing the effects insomnia treatments on the amount of sleep participants acquire. The data below show the number of hours a participant slept in a single night. Treatment 1 is the control condition, Treatment 2 is a behavioral therapy, and Treatment 3 is the administration of sleep aids reatment reatment reatment 4 T 12 SS 4 T 21 SS 3.5 SS 7.5 Use the ANOVA summary table below in answering the following...