Refactor az.plot_bf to Separate Bayes Factor Plotting Logic into the arviz-plots Repository

[PiyushPanwarFST]

Currently, the logic for computing and plotting Bayes Factors resides within the main repository. To better align with a modular design and enhance code maintainability, I propose moving the functionality for Bayes Factor plotting to the arviz-plots repository. This separation will ensure better organization and maintainability by decoupling the core computation logic from the plotting logic.

Proposed Refactor Benefits

Separation of Concerns: Clearly separates the computation (az.bayes_factor) from the visualization az.plot_bf.
Focused Repositories: Makes the arviz-plots repository dedicated to visualization tasks.
Simplified Dependencies: Reduces dependencies for users who only require the visualization logic.

Progress

The computation logic has already been separated into the arviz-stats repository as discussed in [#46]
I am now working on the separation of the plotting functionality into the arviz-plots repository.

This issue was previously discussed in arviz Issue #2402, and I am continuing the work based on that discussion.

[PiyushPanwarFST]

To define the functionality for plotting the Bayes factor function, I need these functions, but they are not available in the arviz-plots repository. These functions are available in the main repository of arviz. Do I need to initialize them again in the arviz-plots repository? If not, how can I access that functionality?

from ..data.utils import extract
from .plot_utils import get_plotting_function
from ..stats import bayes_factor

[aloctavodia]

Import them from arviz-base or arviz-stats or arviz-plots itself. Also please become familiar with how arviz-plots works.