Information Sum of Source DF Squares Mean Square F Value Pr greater than F Model
ID: 3054232 • Letter: I
Question
Information Sum of
Source DF Squares Mean Square F Value Pr greater than F
Model 2 1.765
Error 17.973
Corrected Total 19.738
1.How man groups are involved in the ANOVA A. 1 B. 2 C. 3 D. 4 2. What are the error degrees of fredom and corrected total degrees of freedom if N=73. Select one: a. 73,71 b. 70, 71 c. 70, 72 d. 71,73 3. What is F value? Select one: a. 3.53 b. 3.49 c. 3.44 d. 2.29 4. What is the critical F value if Alpha =0.05? By comparing the calculated F value with the critical F value, what is your conclusion about the significance?
Explanation / Answer
Ans:
1)Given that
df(model)=k-1=2
so,number of groups or treatments,k=3
Option C is correct.
2)N=73
df(error)=N-k=73-3=70
df(total)=N-1=73-1=72
option c is correct.
3)MS=SS/df
F=MS(model)/MS(error)=0.8825/0.2568=3.44
option c is correct.
4)critical F value=FINV(0.05,2,70)=3.13
p-value=FDIST(3.44,2,70)=0.0377
As,F=3.44>3.13 or p-value<0.05,we reject null hypothesis.
df SS MS F p-value model 2 1.765 0.8825 3.44 0.0377 error 70 17.973 0.2568 Total 72 19.738