Are post hoc tests necessary following a significant ANOVA testing one independe

Question

Are post hoc tests necessary following a significant ANOVA testing one independent variable with two levels (k = 2)? Explain.

Yes. When a variable has only two levels, then those two levels must be checked to determine if they are significantly different following a significant ANOVA. A post hoc test is necessary.

No. When a variable has only two levels, then those two levels must be significantly different following a significant ANOVA. There are no multiple comparisons to make, so a post hoc test is not necessary.  

Explanation / Answer

No. When a variable has only two levels, then those two levels must be significantly different following a significant ANOVA. There are no multiple comparisons to make, so a post hoc test is not necessary.

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