Question

ANOVA
Source of Variation	SS	df	MS	F	p-value
Factor A	31,313.49	3	10,437.83
Factor B	23,456.13	2	11,728.07
Interaction	163,204.45	6	27,200.74
Error	90,156.59	36	2,504.35
Total	308,130.66	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_calc values 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)

ANOVA
Source of Variation	SS	df	MS	F	p-value
Factor A	31313.49	3	10437.83	4.168	0.0124
Factor B	23456.13	2	11728.07	4.683	0.0156
Interaction	163204.45	6	27200.74	10.861	0.0000
Error	90156.59	36	2504.35
Total	308130.66	47

Let alpha = 0.05

c1)

Factor A p value < 0.05

There is a significant effect due to Factor A.

c2)

Factor B p value < 0.05

There is a significant effect due to Factor B.

c3)

Interaction between the two factors p value < 0.05

There is a significant interaction between the two factors.