Question

ANOVA
Source of Variation	SS	df	MS	F	p-value
Factor A	30,865.45	3	10,288.48
Factor B	22,557.30	2	11,278.65
Interaction	119,155.58	6	19,859.26
Error	90,553.57	36	2,515.38
Total	263,131.90	47

(a) What kind of ANOVA is this?

• One-factor ANOVA

• Two-factor ANOVA with replication

• Two-factor ANOVA without replication

(b) Calculate each F test statistic and the p-value for each F test using Excel's function =F.DIST.RT(F,DF1,DF2). (Round your F_calcvalues to 3 decimal places and p-values to 4 decimal places.)

Source of Variation	Fcalc	p-value
Factor A
Factor B
Interaction

(c-1) There is a significant effect due to Factor A.

• True

• False

(c-2) There is a significant effect due to Factor B.

• True

• False

(c-3) There is a significant interaction between the two factors.

• True

• False

Answer 1

a)

Two-factor ANOVA with replication

b)

since F calc =MS(factor)/MS(error)

from above

Source	F	p vlaue
factor A	4.090	0.0135
factor B	4.484	0.0182
interaction	7.895	0.0000

c-1)here level of significance is not given, considering it to be 0.05

true since p value <0.05

c-2)

true

c-3)

true

(if level of signfiicance is 0.01 ; c1 and c2 are false while c3 is true)