Question

why does a post-anova planned comparison use a pooled estimate of more groups than the number of groups whose means you are comparing?

Answer 1

In a post-anova planned comparison additional information increases the likelihood that the data may vary, leading to more degree of freedom.

Define the post-anova plan?

The ANOVA test determines whether there is a general difference between the groups, but does not identify the precise groups that varied—only post hoc analyses do that.

• Post hoc tests should only be conducted when you have demonstrated an overall statistically significant distinction in group averages since they are used to confirm where the differences between groups occurred (as statistically significant one-way ANOVA result).
• Similar to how one-way ANOVA was being used instead of numerous t-tests to control the find a different error rate (often alpha = 0.05), post hoc tests aim to do the same.
• A posteriori tests, or post hoc tests, are those that are carried out after the fact.

Thus, the post-anova planned comparison makes use of a pooled estimate of data from more groups than just the number of studies whose means you intend comparing because more data increases the degree of freedom and the possibility that the data may change.

To know more about the post-anova plan, here

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