REF: implement groupby std, min, max as EA methods

[jbrockmendel]

xref #51003 does the same thing for quantile
xref #43682 asking for something similar (but not for these particular reductions)

Allows EA authors to implement performant implementations (including us for e.g. pyarrow dtypes).

[rhshadrach]

There any performance impact here?

[jbrockmendel]

There any performance impact here?

Not directly, but a big part of the idea is to make it easier to implement performant implementations for our pyarrow arrays (and in my daydreams, for 3rd party authors to do Distributed/GPU EA implementations)

[rhshadrach]

Both the direction this moves toward and the implementation look good to me. cc @mroeschke @jorisvandenbossche

[mroeschke]

Does any/all/std for sure need a different API then groupby_op in #51166?

[jbrockmendel]

Does any/all/std for sure need a different API then groupby_op in #51166?

No. #52053 moves std to use WrappedCythonOp, so it would no longer need a separate method here. #52043 is a step in the same direction for any/all

[mroeschke]

Okay so IIUC, _groupby_any_all and _groupby_std is a bridge to _groupby_op in #51166?

[jbrockmendel]

Okay so IIUC, _groupby_any_all and _groupby_std is a bridge to _groupby_op in #51166?

Yes. Though at this point I'm almost ready to close this.

[jbrockmendel]

Closing in favor of #52089