Discussion
From the following Anova table, calculate the 'F' value and select the correct answer from the options given below :
| Sources of Variation | Sum of Squares | Degrees of Freedom |
|---|---|---|
| Between columns | 100 | 3 |
| Between rows | 24 | 16 |
| Total | 124 | 19 |
Answer: A
The F value is the mean square between columns divided by the mean square of the remaining variation, here the rows, with degrees of freedom 3 and 16.
\[ MS_{columns} = \frac{100}{3} = 33.33 \]
\[ MS_{rows} = \frac{24}{16} = 1.5 \]
\[ F = \frac{33.33}{1.5} = 22.2 \]
Option C, 33.3, is only the numerator mean square, and the other options do not arise from the table.
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