MCAR Test implementation

[adriencrtr]

Why ?

There are 3 types of missing data : MCAR, MAR and MNAR. In the imputer selection process, we must choose a holes generator. It would be suitable to select a holes generator that reflects the holes present in the dataset. The aim is to provide a tool for characterizing the user's hole type.

Current situation :

No tool available today in Qolmat.

Improvement sought :

Provide a tool to characterize the user's hole present in his/her dataset. We should first to test if data are MCAR or not.

================== Tasks ==================

• Implement the Little's Test in case of two variables iid where only one is missing.
• Implement the Little's test with multiple variable variables and missing patterns and known parameters.
• Implement the Little's test with multiple variable variables and missing patterns and unknown parameters.