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I think all of these articles are interesting but ultimately irrelevant. I respect what you are trying to do as I am a data person myself.
Better definition is required to get what you are after. What is the reason we have ratings? What makes a great vs good show? Who should get to decide that?
There is no such thing as a true show rating. Without objective guidelines for scoring you cannot have a true show rating. What we have is a popular opinion score based on subjective feelings. There is no right or wrong, there is only opinion. Certainly people will disagree on what is "true" or "right" but those are just opinions. My wife and I have completely different opinions on show ratings but it doensnt make her wrong. Deciding who's vote should count and those that should not is control.
Trying to control opinions is making yourself the arbiter of truth. That is ok I am fine with it. It is your site and you entitled to do what you want with it. Jam charts work this way and I accept it. I dont agree with Jam charts all the time and that is ok.
These articles are a justification for control. I really dont care if you control the scores. You dont need to justify your reasons either.
If we are after a democratic scoring system(I dont know what you are after with the "true value") then everyone should have their vote count as 1 regardless of their stance. Each person should get one vote, which should be achievable.
End of rant. Thank you for all of the information but I think you are missing the forest from the trees.