Question

Refer to the following SAS output, which corresponds to an ANOVA.


Sum of
Source DF Squares Mean Square F Value

Model 2 1.76

Error

Total 19.74

This is all we are given, can you solve any parts of the question Please!!?

a. How many groups are involved in this one-way ANOVA?

b. What are the error degrees of freedom and corrected total degrees of freedom if N=63?

c. Calculate the F value.

d. 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 significance?

e. How many pair-wise comparisons are possible and what is the adjusted Bonforoni P-value?

Thank you so much!

Answer 1

(a) there are 3 groups involved in this one-way ANOVA

since model df=2, so number of groups=k=2+1

(b)error df=N-K=63-3=60

(c) F=2.903

error SS= Total SS- model SS=19.74-1.76=17.98

error MS=error SS/ error df=17.98/60=0.2997

model MS=model SS/model df=1.74/2=0.87

F=model MD/ error MS=0.87/0.2997=2.903

(d) not significant

critical F(0.05,2,60)=3.15

since the critical F is more than calculated F=2.903, so we fail to reject H0 or accept H0. and conclude tha model is not significant.

p-value=0.0626

(e) there are ³C₂=3 pair-wise comparison , adjusted p-value=0.0626/3=0.0209