Question

ANOVA Source of Variation SS df MS F p-value Factor A 31,313.49 3 10,437.83 Factor B...

 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 Fcalc 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

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.

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