Question

A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data.

		Factor B
		Level 1	Level 2	Level 3
		125	100	65
	Level 1
		155	76	103
Factor A
		105	147	140
	Level 2
		95	125	156

Test for any significant main effects and any interaction. Use . Round Sum of Squares,  value, Mean Square to two decimals, if necessary and -value to four decimals.

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F value	p-value	Conclusion
Factor A						- Select your answer -SignificantNot significantItem 6
Factor B						- Select your answer -SignificantNot significantItem 12
Interaction						- Select your answer -SignificantNot significantItem 18
Error
Total

Answer 1

Output using Excel:

Anova: Two-Factor With Replication
SUMMARY	Level B1	Level B2	Level B3	Total
Level A1
Count	2	2	2	6
Sum	280	176	168	624
Average	140	88	84	104
Variance	450	288	722	1072.8
Level A2
Count	2	2	2	6
Sum	200	272	296	768
Average	100	136	148	128
Variance	50	242	128	583.2
Total
Count	4	4	4
Sum	480	448	464
Average	120	112	116
Variance	700	944.6667	1648.667
ANOVA
Source of Variation	SS	df	MS	F	P-value	Conclusion
Factor A	1728	1	1728	5.5149	0.0572	Not significant
Factor B	128	2	64	0.2043	0.8207	Not significant
Interaction	6272	2	3136	10.0085	0.0123	Significant
Error	1880	6	313.33
Total	10008	11