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One-way ANOVA Inference for one-way ANOVA - page 4 / 41

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Two-sample t statistic

A two sample t-test assuming equal variance and an ANOVA comparing only two groups will give you the exact same p-value (for a two-sided hypothesis).

H0: =

Ha:

t-test assuming equal variance

t-statistic

H0: =

Ha:

One-way ANOVA

F-statistic

F = t2 and both p-values are the same.

But the t-test is more flexible: You may choose a one-sided alternative instead, or you may want to run a t-test assuming unequal variance if you are not sure that your two populations have the same standard deviation .

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