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Tukeys Honest Significant Difference (HSD) is a multiple comparison method based on the studentized range distribution.

1 vote

One-way ANOVA, clustering levels using Tukey Kramer HSD

Are you just trying to display the results as a compact letter display? Where, means sharing a letter are not significantly different. If so, this can be accomplished with the multcompLetters functio …
Sal Mangiafico's user avatar
0 votes

Understanding the difference between linear and interactive terms in Tukey HSD

It may be helpful if you leave the levels of f1 as 0 and 1 and change the levels of f2 to a and b. As you have the data set up, to answer the question in simplified notation, $f1 is like 1:(1&0) - 0(1 …
Sal Mangiafico's user avatar
2 votes
Accepted

Checking ANOVA for unbalanced data

(Partially from comments.) There is no indication in the results of the Tukey HSD test that group A is different than the other groups. The p values for each comparison are greater than 0.24. [e.g. …
Sal Mangiafico's user avatar
1 vote

Tukey HSD Post Hoc test with the Anova() Command (Car-package)

As to the use of emmeans here, this is really a programming question. The code just needs to be updated a little: A = rep(c("I","II","III"), each=5) Y = c(1,2,3,4,5,3,4,5,6,7,9,10,11,12,13) m1 = lm(Y …
Sal Mangiafico's user avatar
1 vote

Easiest way to run an unbalanced 2-way ANOVA

My best advice is, if by "medical paper" you mean something that will be published and valuable for others, that you consult someone a little better versed in analyzing experiments. It's absolutely …
Sal Mangiafico's user avatar
1 vote
Accepted

Interpreting ANOVA, Tukey, Linear Mixed-Effects Results

Your concern in 1) is correct. The p-value results do not match those in the compact letter display. Without having the original data and code, it's not known how this happened. It's possible that …
Sal Mangiafico's user avatar
4 votes
Accepted

Why is one mean not significantly greater if every element is greater than the other group?

The data are arranged in complete block design. Because the values between any two groups are paired, Tukey's HSD test isn't appropriate. Instead you want to use something like a paired t test or ot …
Sal Mangiafico's user avatar
4 votes
Accepted

Does R use Tukey or Tukey-Kramer test corrected for unequal sample size and does it use the ...

In glht, "tukey" doesn't refer to Tukey's HSD. It just means "do all pairwise comparisons". By default, ghlt uses a "single-step" correction method, but other correction methods could be used. As far …
Sal Mangiafico's user avatar
1 vote

R Tukey Anova: Can non-overlapping boxplots share the same letter of significance in Anova /...

The simple answer is that Tukey's HSD isn't a test of overlapping plots. If it were, we would just look at the plots and not worry about conducting the HSD test. Note also that LFa and LK have overla …
Sal Mangiafico's user avatar
3 votes

What are the (practical) differences between Tukey's HSD and the Dunn-Sidak correction proce...

Tukey HSD, Dunn-Sidak correction, and Dunn test are all different things, and aren't really alternatives to one another. Tukey HSD is a method to compare among means of multiple groups, as would be c …
Sal Mangiafico's user avatar
2 votes
Accepted

Post-tests for mixed-model ANOVA in R? (Without installing packages?)

There's probably no need to apologize. Despite the large amount of educational material free on the web for learning statistics in R, the vast majority don't address situations that users of other pa …
Sal Mangiafico's user avatar
1 vote

ANOVA: life after rejecting the null hypothesis

I'll try to answer one piece of the question. There is an established protocol for distinguishing similar groups from dissimilar groups which results in a compact letter display. A series of pairwis …
Sal Mangiafico's user avatar