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: SST = 256. SSA = 21, SSB = 23, SSAB a. Set up the ANOVA table and test for significance using a Show entries to 2 decimals, if necessary. Round p value to our decimal places. If your ars er s zero enter- . 160 Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Factor A Factor B Interaction Error Total b. The p-value for Factor A is Select What is your conclusion with respect to Factor A? Select c. The p-value for Factor B is Select What is your conclusion with respect to Factor B? Select d. The p-value for the interaction of factors A and B is Select What is your conclusion with respect to the interaction of Factors A and B? Select

Answer 1

Solution:-

a)

Source of variations	Sum of squares	Degree of freedom	Mean Square	F	p-value
Factor A	21	3	7.0	56.54	0
Factor B	23	2	11.5	92.88	0
Interaction	160	6	26.667	215.39	0
Error	52	420	0.12381
Total	256	431

b) The p-value for the factor A is almost 0.

Reject null hypothesis, we can conclude that the means are different within factor A.

c) The p-value for the factor B is almost 0.

Reject null hypothesis, we can conclude that the means are different within factor B.

d) The p-value for the factor A and B is almost 0.

Reject null hypothesis, we can conclude that there is interaction between factor A and factor B.