Complete the following ANOVA table to answer the question
Source |
df |
MS |
f |
F CRIT |
City_Size (A) |
2 |
380 |
||
Gender (B) |
1 |
20 |
||
AxB |
70 |
|||
Error |
100 |
|||
Total |
59 |
The partial eta-squared due to interaction is
A..583 |
B. Insufficient data. It cannot be estimated from the data |
C. .206 |
D. .185 |
df A x B = df A x df B = 2 x 1 = 2
df Error = df Total - df AxB - df A - df B = 59 - 2 - 1 - 2 = 54
FA = MS A / MS Error = 380/100 = 3.8
FB = MS B / MS Error = 20/100 = 0.2
F AB = MS AB/ MS error = 70/100 = 0.7
At alpha = 0.05, F Critical A, dfA = 2, and df error = 54 is 3.168
At alpha = 0.05, F Critical B, dfB = 1, and df error = 54 is 4.019
At alpha = 0.05, F Critical AB, dfAB = 2, and df error = 54 is 3.168
df | MS | F | F critical | |
A | 2 | 380 | 3.8 | 3.168 |
B | 1 | 20 | 0.2 | 4.019 |
AxB | 2 | 70 | 0.7 | 3.168 |
Error | 54 | 100 | ||
Total | 59 |
The partial eta squared cannot be estimated from the given data
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