📊One-way ANOVA Calculator
e.g. 10,12,11 | 14,15,13 | 9,8,10
One-way ANOVA tests whether the means of three or more independent groups are statistically different, by comparing variance between groups to variance within groups.
- 1F = MS_between / MS_within
- 2MS_between = SS_between/(k−1)
- 3MS_within = SS_within/(N−k)
- 4Large F → group differences unlikely due to chance
- 5Follow up significant ANOVA with post-hoc tests
3 groups · F=5.2 · df=2,27=p < 0.05 → at least one group mean differsF critical at df(2,27), α=0.05 is 3.35
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Fun Fact
R.A. Fisher developed ANOVA in the 1920s at Rothamsted agricultural station to analyse crop yield data across multiple treatment conditions simultaneously.
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