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

PART A: How many cells are there in the above design?

A. 2

B. 5

C. 3

D. 6

PART B:

What is the total number of subjects in this design?

A. 10

B. 60

C.55

D. 20

Answer 1

Part A) The degrees of freedom for the factor City_Size(A) are 2.

Therefore number of treatments for factor A are 2+1=3

The degrees of freedom for the Gender (B) is 1.

Therefore number of treatments for factor B are 1+1=2

Hence the number of cells for the above design are 3*2=6

Therefore D) is the correct choice.

Part B)

The total number of subjects in this study are 60.

Since Total degrees of freedom are 59

and we know that the total degrees of freedom is n-1, where n is the total number of observations(subjects).

Therefore B) is correct choice.