The following is an incomplete ANOVA table.
Source of Variation | SS | df | MS | F | ||
Between groups | 2 | 11.8 | ||||
Within groups | ||||||
Total | 100 | 10 | ||||
The p-value of the test is
a) less than 0.14
b) between 0.01 and 0.038
c) between 0.025 and 0.18
d) greater tha
Solution:
The completed ANOVA is given as below:
Df within = total df - between df
Between SS = MS between * df between
Within SS = Total SS - Between SS
F = MS between / MS within
The completed ANOVA is given as below:
SV |
SS |
df |
MS |
F |
P |
Between groups |
23.6 |
2 |
11.8 |
1.235602 |
0.340701 |
Within groups |
76.4 |
8 |
9.55 |
||
Total |
100 |
10 |
F = 11.8/9.55 = 1.235602
Df1 = 2, df2 = 8
So, P-value by using F-table or excel is given as below:
P-value = 0.3407
Answer: d) greater than 0.10
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