Question

Complete the following ANOVA table to answer the question Source df MS f F CRIT City_Size...

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

Homework Answers

Answer #1

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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