The following results are from an independent-measures, two-factor study with n = 5 participants in each treatment condition. Factor A: Factor B: B₁ B₂ B₃ n = 5 n = 5 n = 5 A₁ M = 5 M = 8 M = 14 T = 25 T = 40 T = 70 SS = 30 SS = 38 SS = 46 n = 5 n = 5 n = 5 A₂ M = 3 M = 4 M = 8 T = 15 T = 20 T = 40 SS = 22 SS = 26 SS = 30 ∑X² = 2,062 A. Use a two-factor ANOVA with α = .05 to evaluate the main effects and interactions. Source SS df MS F Between treatments - - A B A x B Within treatments _ Total B. Use the Distribution tool to find critical F values. (Use three decimal places.) F-criticalAA = F-criticalBB = F-criticalAxBAxB = C. Is there a significant main effect for factor A? Yes or No Is there a significant main effect for factor B? Yes or No Is there a significant interaction? Yes or No
The following results are from an independent-measures, two-factor study with n = 5 participants in each treatment condition. Factor A: Factor B: B₁ B₂ B₃ n = 5 n = 5 n = 5 A₁ M = 5 M = 8 M = 14 T = 25 T = 40 T = 70 SS = 30 SS = 38 SS = 46 n = 5 n = 5 n = 5 A₂ M = 3 M = 4 M = 8 T = 15 T = 20 T = 40 SS = 22 SS = 26 SS = 30 ∑X² = 2,062 A. Use a two-factor ANOVA with α = .05 to evaluate the main effects and interactions. Source SS df MS F Between treatments - - A B A x B Within treatments _ Total B. Use the Distribution tool to find critical F values. (Use three decimal places.) F-criticalAA = F-criticalBB = F-criticalAxBAxB = C. Is there a significant main effect for factor A? Yes or No Is there a significant main effect for factor B? Yes or No Is there a significant interaction? Yes or No
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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The following results are from an independent-measures, two-factor study with n = 5 participants in each treatment condition.
Factor A:
|
Factor B:
|
||
---|---|---|---|
B₁ | B₂ | B₃ | |
n = 5 | n = 5 | n = 5 | |
A₁ | M = 5 | M = 8 | M = 14 |
T = 25 | T = 40 | T = 70 | |
SS = 30 | SS = 38 | SS = 46 | |
n = 5 | n = 5 | n = 5 | |
A₂ | M = 3 | M = 4 | M = 8 |
T = 15 | T = 20 | T = 40 | |
SS = 22 | SS = 26 | SS = 30 | |
∑X² = 2,062 |
A. Use a two-factor ANOVA with α = .05 to evaluate the main effects and interactions.
Source
|
SS
|
df
|
MS
|
F
|
---|---|---|---|---|
Between treatments |
|
|
- | - |
A |
|
|
|
|
B |
|
|
|
|
A x B |
|
|
|
|
Within treatments |
|
|
|
_ |
Total |
|
|
B. Use the Distribution tool to find critical F values. (Use three decimal places.)
F-criticalAA | = |
|
F-criticalBB | = |
|
F-criticalAxBAxB | = |
|
C.
Is there a significant main effect for factor A? Yes or No
Is there a significant main effect for factor B? Yes or No
Is there a significant interaction? Yes or No
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