How does selecting a Multiple Comparison Test done?
How does selecting a Multiple Comparison Test done?
Here's the explanation is as follows.
When the null hypothesis (Ho) is rejected after ANOVA, that is, in the case of three groups,
Ho : μ1 = μ2= μ3, we do not know how one group differs from a certain group.
The result of ANOVA does not provide detailed information regarding the differences among various combinations of groups.
Therefore, we usually perform additional analysis to clarify the differences between particular pairs of experimental groups.
If the null hypothesis (Ho) is rejected in the ANOVA for the three groups, the following cases are considered:
μ1 ≠ μ2 ≠ μ3 or μ1 ≠ μ2 = μ3 or μ1 = μ2 ≠ μ3 or μ1 ≠ μ2 = μ3.
Now the question comes in your mind is that , In which of these cases is the null hypothesis rejected?
The only way to answer this question is to apply the ‘multiple comparison test’ .
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