Question

1) If F = 8.99 and the critical value = 3.160, then.

A. Reject the null hypothesis, F exceeds the critical value

B. Accept the null hypothesis, F is more than two times the critical value

2) The Analysis of Variance for 5 groups has how many degrees of freedom?

A. 4

B. 5

3) If MS between = 296 and MS within = 31, F approximately equals.

A. 9

B.  need additional information

4) An ANOVA model with 4 groups and 10 subjects in each group has a total SS equal to 400, and within SS equal to 300, The MS between and the F value are equal to?

A.  8.57, 11.66

B. 11/66, 30.00

5) For an ANOVA model with 3 groups and total of 27 subjects, the critical value for rejecting the null hypothesis at the 0.05 level of significance is.

A. 99.50

B.  3.40

Answer 1

Question 1

Since critical value=3.16 is is less than F=8.99, we do not reject null hypothesis

A: Accept the null hypothesis, F is more than two times the critical value

Question 2

Degress of freedom = n-1 =5-1=4 (A)

Question 3

F= MS between/ MS within = 296 /31 =9.5

A) 9

Question 4

	df	SS	MS	F
Between Groups	3	100	3.33	0.667
Within Groups	6	300	50
Total	9	400

Total df =10-1=9

Between groups df =4-1=3

Within groups df=9-3=6

SS between groups = 400-300=100

MS between = SS between/df between = 100/3=33.33

MS within = SS within/df within = 300/6=50

F = MS between/ MS within = 33.33/50 =0.667

Question 4

F-critical value can be calculated using excel function F.INV

Total df = 27-1=26

Between df = 3-1 =2

Within df =26-2=24

Critical value = F.INV(0.05,2,24) = 0.05