Adrian Olszewski :
EDIT: find the answer here: tinyurl.com/yc4m5lxx )

Dear Data Scientists. ANOVA is a powerful method. You often mention it in your posts. Sadly, I noticed, that you treat it mostly in the simplest way, while it's far beyond that! Well, Fisher didn't invent it with all those applications in mind, but it turned out, over time, that the procedure can be generalized greatly, constituting one of the most important methods in statistics.

You think you know all about it? ANOVA may surprise you.

You might have wondered, why:
- is ANOVA called in so many contexts: to compare means, models, testing contrasts?
- why is it called with either F or chi2 test (yes, it's about limiting distribution, but how?)
- why is it important to call it with appropriate type of sum of squares (when)?
- what is the relationship with LS-Means
- what does "joint test" actually means.

You might believe that the Tukey HSD method must agree with the result of F test in ANOVA. / No, it doesn't. Scheffe's does. /

If you pick the right answer, then do a research, you will understand how deep is the rabbit hole.

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