I really like the phrase “pre-scientific intuitions”. Also this: “OK, sure, sure, everybody knows about statistics and p-values and all that, but my impression is that researchers see these methods as a way to prove that an effect is real. That is, statistics is seen, not as a way to model variation, but as a way to remove uncertainty.”
Decimal to unary:
[1:4]'==3 % returns [0 0 1 0 ]
Unary to decimal:
max([0 0 1 0] .* (1:4)) % returns 3
Ever wondered why and ?
This is an excellent intuitive explanation:
This is an example of using a pivot to find a confidence interval.
1. Find a pivot:
2. Find its distribution:
3. Find an expression involving an upper and lower bound on the pivot:
This implies .
4. Substitute the expression for the pivot from Step 1, and set the RHS to .
Let . Then .
This gives us as a CI for .