Question A:

A factorial experiment (2-way ANOVA) involving 3 levels of factor A and 3 levels of factor B resulted in the following partially completed 2-Way ANOVA table.

			Factor B
		Level 1	Level 2	Level 3
	Level 1	14	20	32
		16	18	26
		15	19	28
Factor A	Level 2	18	16	26
		20	14	25
		19	15	23
	Level 3	16	18	24
		18	17	22
		18	18	21

ANOVA
Source of Variation	SS	df	MS	F
Factor A	15.41
Factor B	389.41
Interaction(A*B)	95.26
Error
Total	539.41

1. What is the sum of squares due to Error? (10 points)

2. What are the degrees of freedom for FactorA and Error? (10 points)

3. How many treatment combinations are there in the experiment and how many replicates for each treatment combination? (10 points)

4. Perform the F- test on Factor 'B'. Is the Factor 'B' significant (use = 0.05)? Please show all the relevant calculations. (10 points)

5. Perform the F- test on Interaction(A*B). Is the Interaction(A*B) significant (use =0.05)? Please show all the relevant calculations. (10 points)