## Which is more conservative Tukey or Bonferroni?

The detailed answer is that the Tukey HSD is a proper “post hoc” test whereas the Bonferroni test is for planned comparisons. The Bonferroni test also tends to be overly conservative, which reduces its statistical power.

## Is Tukey or Scheffe more conservative?

Scheffe and Bonferroni: most conservative of the tests. Tukey: (HSD-Honestly Significant Difference). This calculates a number that represents the minimum difference between mean values in order to identify a significant difference.

How does Tukey HSD differ from Bonferroni?

Bonferroni has more power when the number of comparisons is small, whereas Tukey is more powerful when testing large numbers of means.

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### Should I use Tukey or Scheffe?

If you only want to make pairwise comparisons, run the Tukey procedure because it will have a narrower confidence interval. If you want to compare all possible simple and complex pairs of means, run the Scheffe test as it will have a narrower confidence interval.

### What does Bonferroni test do?

The Bonferroni test is a type of multiple comparison test used in statistical analysis. The Bonferroni test attempts to prevent data from incorrectly appearing to be statistically significant like this by making an adjustment during comparison testing.

What is the difference between Bonferroni and Scheffe?

Scheffé’s procedure is better, that is, produces shorter intervals, than the Bonferroni’s procedure. For more than two degrees of freedom for error. Bonferroni is better than Scheffé for standard levels of confidence, but the reverse can be true for nonstandard confidence levels.

#### Does Tukey HSD correct multiple comparisons?

1 Answer. It is not necessary to correct for multiple comparisons when using Tukey’s HSD. The procedure was developed specifically to account for multiple comparison and maintains experiment-wise alpha at the specified level (conventionally .

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#### What does the Tukey HSD tell you?

The Tukey’s honestly significant difference test (Tukey’s HSD) is used to test differences among sample means for significance. The Tukey’s HSD tests all pairwise differences while controlling the probability of making one or more Type I errors.

Why is Scheffe test conservative?

Scheffé’s Method provides protection for all possible contrasts – especially useful when we don’t really know how many contrasts we will have in advance. This test is quite conservative because this test is valid for all possible contrasts of the means.

## Why is the Bonferroni correction conservative?

With respect to FWER control, the Bonferroni correction can be conservative if there are a large number of tests and/or the test statistics are positively correlated. The correction comes at the cost of increasing the probability of producing false negatives, i.e., reducing statistical power.

## When should Bonferroni be used?

The Bonferroni correction is appropriate when a single false positive in a set of tests would be a problem. It is mainly useful when there are a fairly small number of multiple comparisons and you’re looking for one or two that might be significant.

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What is the difference between Tukey and Fisher test?

The Fisher LSD is used to compare the individual error rate and number of comparisons to calculate the simultaneous confidence level for all confidence intervals. On the other hand, the Tukey test was designed to allow one to make all of the pairwise comparisons.