Garnet H. answered • 08/14/14

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The F-ratio is a ratio of the variation

**between**your treatments to the variation**within**your treatments.Or, put algebraically, F = (variation

**between**treatments) / (variation**within**treatments).The within-treatment variation is the variation due to chance. So, obviously, the bigger the numerator, the bigger F. Also, the smaller the denominator the bigger F.

A larger F would therefore mean a larger variation (observed differences) between treatments compared to the variation due to chance, implying that it's less likely that a difference is due to chance.

answer: A