The Black Box Brain Problem

If I found a black box with a number keypad and a printer tape, I could make tables of all the inputs I tested and the outputs.  I put in a 1 and get a 3.  A  7 gets me 127.  Non-integers return 'ERROR.'  Depending on what ends up in my table, I might be able to make some reasonably confident guesses about what was going on inside the box.  Provided I had been careful to watch out for positive bias.  (Go ahead, read the linked article, it's really good and I'll be here when you get … [Read more...]

Upon this ROC I will build…

Real data is noisier than this

I was considering writing an April Fools day post, but life's too short to not blog about epidemiology and epistemology. As is often the case when I go back to Yale for alumni debates, I ended up in some extended theological debates.  In a conversation with one friend, we ended up on thse topic that used to form the core of my about section: what evidence would persuade me that Christianity (or another religion) is true? I think it's possible that I've set the bar for proof so high … [Read more...]

Making Book on God

A reader of Marginal Revolution posed a theological thought experiment this week, and a friend challenged me to answer.  Here's the pitch: In this thought experiment you are a contestant on a gameshow. The host of the gameshow (let’s call him Alex) has a notecard that says whether or not god exists and to what extent he is involved in the affairs of mankind. You start with $1,000,000 that you must allocate across five possible categories: Scriptural literalism. Bet into this category if … [Read more...]