To add to your point: I ran some experiments a while back with curved coins. The coins have to be absurdly shaped before the shape affects the outcomes:
Falling below the noise floor is different from proving no correlation. Negative results for a given experiment simply mean it’s below an the experiments ability to detect.
Aka, you need to pick a threshold for bias that’s interesting before designing the experiment. A casino might care a great deal about say 0.5% bias which would take a lot of trials to detect.
Aka, you need to pick a threshold for bias that’s interesting before designing the experiment. A casino might care a great deal about say 0.5% bias which would take a lot of trials to detect.