We do ten experiments. A scientist observes the results, constructs a
theory consistent with them, and uses it to predict the results of the
next ten. We do them and the results fit his predictions. A second
scientist now constructs a theory consistent with the results of all
twenty experiments.
The two theories give different predictions for the next experiment. Which do we believe? Why?
One of the commenters links to Overcoming Bias, but as of 11PM on Sep 28th, David's blog's time, no one has given the exact answer that I would have given. It's interesting that a question so basic has received so many answers.
We know that the first researcher is able to successfully predict the results of experiment. We don't know that about the second researcher. Therefore I would bet on the first researcher prediction (but only assuming other things being equal).
David D. Friedman asks:
One of the commenters links to Overcoming Bias, but as of 11PM on Sep 28th, David's blog's time, no one has given the exact answer that I would have given. It's interesting that a question so basic has received so many answers.