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 | F_{calc} | 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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