Fundamental Inconsistency/Incompleteness i: Discovery of Causality based on Statistics !

Statistical based system e.g. regression might not be able to always deliver consistent and complete causal results even when instrumental variables included . This is because there seem to exist fundamental inconsistency/incompleteness in the statistical methods like regression etc. due to Simpson's type paradox where establishing correlations etc. between any variables based on statistical data could itself be incomplete/inconsistent! The reason also being the role of randomness all around ! 

So, definitely some statistical methods like your wonderful IVs and LATE could be better but I think that no statistical method would always lead to consistent /complete causal perspective because of above fundamental limitations

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