1. How do you know your determination of "ideological bias" isn't biased itself?
2. All experiments are flawed in one way or another to some degree. Are you saying one study is more methodologically flawed than another? How do you measure the degree of the flaws? How do you know your determination of flaws isn't biased?
3. Again, you've already decided the which study is "correct" based on your own biased interpretations. How do you prove the other person is wrong and it's not you that is biased?

I agree with the randomize and repeat bit though.

However, I would like to propose that this test methodology for rationality is deeply flawed.