Question

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

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