Answer:
option (b) df = 1, 24
Step-by-step explanation:
Data provided in the question:
levels of factor A, a = 2
levels of factor B, b = 3
Subjects in each Sample, s = 5
n = 5 × 3 × 2 = 30
Now
df for Factor A = a - 1
= 2 - 1
= 1
df for Factor B = b - 1
= 3 - 1
= 2
df for Interaction AB = ( a - 1 ) × ( b - 1 )
= 1 × 2
= 2
df for Total = n - 1
= 30 - 1
= 29
df for error = 29 - 5
= 24
Hence,
df values for the F-ratio evaluating the main effect of factor A is 1, 24
The correct answer is option (b) df = 1, 24
