> The field of statistics is not organized around concepts relating to "order" or "ordering".
Sure but reduced to the simplest form, statistics are used to predict things, the most basic thing in the Universe being "is this particle gonna stay put or move a little in a given direction", which is related to entropy, so to me intuitively these two things seem very related. The fact that in statistics we don't use the words "order" and "disorder" doesn't mean it doesn't reduce to that.
Btw I'm an electrical engineer that isn't amazing at statistics or thermodynamics so beware I might just be talking nonsense.
> ... reduced to the simplest form, statistics are used to predict things
Inferential statistics is not the simplest kind of statistics. Descriptive statistics are both simpler and foundational for inference.
P.S. I should say that I am a bit of a stickler regarding discussions along the lines of e.g. "these things are related". Yes, many things are related, but it is really nice when we can clearly tease things apart and specify what depends on what.
Sure but reduced to the simplest form, statistics are used to predict things, the most basic thing in the Universe being "is this particle gonna stay put or move a little in a given direction", which is related to entropy, so to me intuitively these two things seem very related. The fact that in statistics we don't use the words "order" and "disorder" doesn't mean it doesn't reduce to that.
Btw I'm an electrical engineer that isn't amazing at statistics or thermodynamics so beware I might just be talking nonsense.