Yes, a and b are arbitrary- but if they aren’t chosen well your model could be hugely inferior. I’d suggest making a few toy data sets and actually comparing the standard methods (Wilson Score, Jeffreys interval) to yours before suggesting everyone embrace it.
Edit for clarity: Just to be clear, the Jeffery’s interval (which is usually very close to the Wilson coeff) is essentially the same as your model but with the initial parameters 1⁄2,1/2.
Yes, a and b are arbitrary- but if they aren’t chosen well your model could be hugely inferior. I’d suggest making a few toy data sets and actually comparing the standard methods (Wilson Score, Jeffreys interval) to yours before suggesting everyone embrace it.
Edit for clarity: Just to be clear, the Jeffery’s interval (which is usually very close to the Wilson coeff) is essentially the same as your model but with the initial parameters 1⁄2,1/2.