如何计算One-Way ANOVA
learn.whatIsHeading
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.
分步指南
- 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
例题解析
输入
3 groups · F=5.2 · df=2,27
结果
p < 0.05 → at least one group mean differs
F critical at df(2,27), α=0.05 is 3.35
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