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Right and giving them Giving them equal ability scores will not give them equal initiative rolls, an equal number of hits, equal damage done by them and it will not result in them taking the same damage. They will still be unbalanced at the table. You mention initiative - For example, if you...

Balance means balanced results for two players. If one player swings a sword and does 9 damage and another player swings a sword and does 7 damage that is not balanced. If one has an 8 strength and one has a 20 it is not balanced If both of them have a 16 strength it still is not balanced...

Halflings, Goblins and Kobolds. I lean into them, particularly the specific racial traits for Halflings and Kobolds.

Are you considering racial and origin feat options in this? For example a fighter (or Paladin or Ranger or Monk) level 1-4 with Truestrike from elf or Magic Initiate is substantially better than one without truestrike due to the ability to change to radiant damage. If you are only relying on...

Dissonant Whispers, Command, Tasha's Hideous Laughter, Misty Step, Mirror Image and Invisibility would all be awesome on a Ranger. I should say are all awesome as I usually have some of these on Ranger's I play. Then there is rituals like Identify, Comprehend Languages ...

Ok you have the either-or wrong. I am talking about balance here. We can have a party A - with two average barbarians and party B - with one kick ass Barbarian and one pathetic Barbarian. It is extremely unlikely either set of barbarians will be balanced in play and the Barbarians in party A...

But it does not mean or indicate that it skews the results. It does not provide evidence the survey results would be different with a different sample, especially when both groups of people would have the same goals in broad terms (improving the game). Your hypothesis rests on the idea that...

As I said before equal or equivalent ability scores do not increase the likelihood of balance in play. If people want to talk about reasons to have equal ability scores that is fine, but balance should not be what they hang their hat on if they are rolling dice for results in play, because...

"Not trusting" the results is fundamentally different than "plenty of reasons to believe a sample is not representative"

I don't think you understand that a biased sample does not by itself mean or indicate the results are skewed. A biased sample, by itself, provides no evidence at all that the results are skewed.

It depends on level and what sources are allowed. If we are looking at a 1-20 game and we allow 2014 feats then the answer for me is a character that ends play as a Dragonborn Monk 1/Fey Wanderer Ranger 13/Druid 1/Glamour Bard 5 with the Dragonfear feat and Shadow Touched with Wrathful Smite...

I don't think Rangers need new spells, what they need are more spell options. The problem would be solved if Rangers had access to the entire Bard and Wizard spell lists, in addition to the current Ranger spells.

This is not true in play. You act like this is deterministic and it is not. It is a random process. Comparing 1st level characters; when B swings his sword, the most common damage done is 0, that is the mode average. 0 is also the mode average for A. Against any AC over 10 zero damage is...

It is the example that was used in the post I replied to. That said compared to other metrics it is more straightforward mathematically (although still not particularly straightforward without a bunch of assumptions that are typically untrue in play).

If you played 100 different sessions with characters using those two arrays and 200 different players each playing a PC of their own design for a session with that arry: PC A would outperform PC B in a substantial number of those sessions and as a matter of fact if they knew the ability scores...

Sure and we have wide variances of opinion on the rules of the game. This further illustrates the point that being "dedicated" is not evidence of a bias in preference.

The chance is higher than that because not all of those combinations have an equal chance of occuring.

No they won't. Not in play they won't. They may be "balanced" on your character sheet when you are not playing the game; but when you start playing you can throw that out the window. No it won't. Not usually. Generally your abilities have little affect on overall game balance when...

Point Buy absolutely will not give results that are identical in play and usually won't give results that are even close in play. You have to remove dice from the game completely if you want to even approach balance just from a math perspective, and even if you did that you will still have...

Different perspectives is not the same as different preferences, nor does it imply they will have different preferences. If we know there are differences provide an example - dedicated players prefer A, while casual players prefer B. You some evidence to draw that inference and we have none...