Is it possible to have a negative f value for the ANOVA result? a) true b) false

The answer is b) false.

In ANOVA (Analysis of Variance), the F value is a ratio of variances and is calculated as the variance between the group means divided by the variance within the groups. Since variances are always non-negative, the resulting F value can never be negative.

To elaborate, the F statistic measures how much the group means differ from each other (between-group variance) relative to the variability within each group (within-group variance). If the between-group variance is less than the within-group variance, the F value will be close to zero but still positive. Therefore, it’s impossible for the F value to take on a negative value.

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