For a 3 x 5 ANOVa with 9 subjects in each cell: a. Find the value...
For a 3 x 5 ANOVa with 9 subjects in each cell:
a. Find the value of each df component, and show that they sum to the df total
b. Find the critical value for F for each main effect and the interaction
Please show all work and how you found each main effect and the interaction.
Homework Answers
(a) df of factor A = 3 - 1 = 2
df of factor B = 5 - 1 = 4
df of the interaction = 2*4 = 8
df of the error = 3*5*(9 - 1) = 120
df of the total = 2 + 4 + 8 +120 = 134
(b)
| Critical value | |
| Factor A | 3.0717794 |
| Factor B | 2.4472365 |
| Interaction | 2.0164256 |
The formulas are:
| Critical value | |
| Factor A | =FINV(0.05,2,120) |
| Factor B | =FINV(0.05,4,120) |
| Interaction | =FINV(0.05,8,120) |
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