The calculations for a factorial experiment involving four levels of factor A, t

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 = 277, SSA = 22, SSB = 20, SSAB = 185. Set up the ANOVA table and test for significance using = .05. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your 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

b. The p-value for Factor A is ?

What is your conclusion with respect to Factor A?

c.The p-value for Factor B is?

What is your conclusion with respect to Factor B?

The p-value for the interaction of factors A and B is ?.

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

Explanation / Answer

from given data:

b)  p-value for Factor A is less than 0.05 level

conclusion with respect to Factor A at least two means are different

c)

p-value for Factor B is less than 0.05 level

conclusion with respect to Factor B at least two means are different

c)

p-value for the interaction of factors A and B is less than 0.05.

What is your conclusion with respect to the interaction of Factors A and B : sufficient evidence of ijnteraction

source SS df MS F p value factor A 22 3 7.33 3.52 0.0303 factor B 20 2 10.00 4.80 0.0176 interaction 185 6 30.83 14.80 0.0000 error 50 24 2.08 total 277 35

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.