Question

The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: ,STT = 261, SSA=21, SSB=22, SSAB=165

Set up the ANOVA table and test for significance using a=.05 . Show entries to 2 decimals, if necessary. If the answer is zero enter “0”.

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Factor A
Factor B
Interaction
Error
Total

The -value for Factor A is - Select your answer -less than .01between .01 and .02between .02 and .05between .05 and .10greater than .10Item 21

What is your conclusion with respect to Factor A?

- Select your answer -Factor A is significantFactor A is not significantItem 22

The -value for Factor B is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 23

What is your conclusion with respect to Factor B?

- Select your answer -Factor B is significantFactor B is not significantItem 24

The p-value for the interaction of factors A and B is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 25

What is your conclusion with respect to the interaction of Factors A and B?

Answer 1

from given data

Source	SS	df	MS	F	p vlaue
sample	21.00	3	7.00	3.17	0.04
columns	22.00	2	11.00	4.98	0.02
interaction	165.00	6	27.50	12.45	0.00
error	53.00	24	2.21
total	261.00	35

p value for Factor A is between 0.02 and 0.05

Factor A is significant

p value for Factor B is between 0.01 and 0.02

Factor B is significant

p value for the interaction of factors A and B is less than 0.01

interaction of Factors A and B is significant