The following output was obtained from a computer program that performed a two-f
ID: 3182916 • Letter: T
Question
The following output was obtained from a computer program that performed a two-factor ANOVA on a factorial experiment.
Two-way ANOVA: y versus A, B
Source
DF
SS
MS
F
P
A
1
0.322
?
?
?
B
?
80.554
40.2771
4.59
?
Interaction
?
?
?
?
?
Error
12
105.327
8.7773
Total
17
231.551
(a) Fill in the blanks in the ANOVA table. You can use bounds on the P-values.
(b) How many levels were used for factor B?
(c) How many replicates of the experiment were performed?
(d) What conclusions would you draw about this experiment?
Two-way ANOVA: y versus A, B
Source
DF
SS
MS
F
P
A
1
0.322
?
?
?
B
?
80.554
40.2771
4.59
?
Interaction
?
?
?
?
?
Error
12
105.327
8.7773
Total
17
231.551
Explanation / Answer
b) levels used =2+1=3
c)replicates 9
d) we see that there is no mean difference due to A but difference in at least 2 from B, Also as p value is higher then 0.05 for interaction we can not conclude that there is interaction
Source DF SS MS F P A 1 0.32 0.32 0.04 0.851 B 2 80.55 40.28 4.59 0.033 Interaction 2 45.35 22.67 2.58 0.117 Error 12 105.33 8.78 Total 17 231.6Related Questions
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