Consider the following computer output for an experiment. The factor was tested

Question

Consider the following computer output for an experiment. The factor was tested over four levels that were specifically chosen. 2. Source DF SS MS F P-Value Factor330.4716 442 0.012 Eror7 Total 31 Solve this problem by hand a. (6 pts) Fill in the missing information in the ANOVA table. b. (I pts) How many replicates did the experimenter use? c. (5 pts) Interpret the results of this Analysis of Variance (ANOVA). Specifically i. What is our parameter of interest? (What were we testing when we did this ANOVA?) ii. What are the null and alternate hypothesis? ii What is your rejection criteria? v. What conclusions can you draw about differences in the factor-level means?

Explanation / Answer

Ans:

a)

b)total df=31

N=31+1=32

32/4=8

8 replicates used each level

c)population means of each factor

d)

H0:All means are same

Ha:Atleast two of the means are different.

iii)say alpha=0.05

Fcritical=FINV(0.05,3,28)=2.95

Reject H0,if F statistic>2.95

iv)As,F=4.42>2.95,we reject null hypothesis.

or p-value<0.05,we reject null hypothesis.

There is enough evidence to conclude that atlest two of the factor level means are different.

source DF SS MS F p-value factor 3 991.415 330.472 4.42 0.012 error 28 2093.485 74.767 Total 31

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

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