What is p adj in Tukey HSD?

What is p adj in Tukey HSD?

p adj is the p-value adjusted for multiple comparisons using the R function TukeyHSD() . For more information on why and how the p-value should be adjusted in those cases, see here and here. Yes you can interpret this like any other p-value, meaning that none of your comparisons are statistically significant.

What is adj p-value?

The adjusted P value is the smallest familywise significance level at which a particular comparison will be declared statistically significant as part of the multiple comparison testing. Here is a simple way to think about it. You perform multiple comparisons twice. Each comparison will have a unique adjusted P value.

Why do we adjust the p-value?

A p-value adjustment is necessary when one performs multiple comparisons or multiple testing in a more general sense: performing multiple tests of significance where only one significant result will lead to the rejection of an overall hypothesis.

Can you interpret Tukey HSD like any other p-value?

Yes you can interpret this like any other p-value, meaning that none of your comparisons are statistically significant. You can also check ?TukeyHSD and then under Value it says: A list of class c (“multicomp”, “TukeyHSD”), with one component for each term requested in which.

Is the F test the smallest p value?

The p-value for the F-test does not align with the smallest p-value for the Tukey HSD test.

What is the Q statistic in Tukey’s test?

The test statistic used in Tukey’s test is denoted q and is essentially a modified t-statistic that corrects for multiple comparisons. q can be found similarly to the t-statistic: The studentized range distribution of q is defined as:

Is the difference between Tukey and ANOVA significant?

But the largest distance (between the outside groups) is the same. That means the smallest p-value in Tukey HSD test will not be different for those two cases while the ANOVA p-value does differ. So for the experiments with the 5% largest significant differences, you do not get the 5% largest F-scores (or vice versa).