I was confused by this but think I've figured it out. I'm moderately numerate, but don't have great math intuition.
I was thrown off by the fact that we're talking about individual probabilities where we were talking about odds before. How can you just go to working with probabilities.
I realized that you can do this because log(X/Y) is log(X)-log(Y). So we're moving right based on X (P(e|H)) and left based on Y (P(e|!H)).
It may help those in my boat to call this out. It may be basic, but from my vantage it was a jump that took me a couple hours to figure out.
One more: "probability mass" = "probability" but with a metaphorical bent? If this is correct, it might be worth calling out as well. It came across as an undefined technical term and threw me for a bit as well.
This is an amazing and helpful resource, thank you!
The log used to determine number of bits should probably be consistent throughout or clarified each time. Here, the log 2 scale is used, when elsewhere there is usage of the log 10 scale.
I was confused by this but think I've figured it out. I'm moderately numerate, but don't have great math intuition.
I was thrown off by the fact that we're talking about individual probabilities where we were talking about odds before. How can you just go to working with probabilities.
I realized that you can do this because log(X/Y) is log(X)-log(Y). So we're moving right based on X (P(e|H)) and left based on Y (P(e|!H)).
It may help those in my boat to call this out. It may be basic, but from my vantage it was a jump that took me a couple hours to figure out.
One more: "probability mass" = "probability" but with a metaphorical bent? If this is correct, it might be worth calling out as well. It came across as an undefined technical term and threw me for a bit as well.
This is an amazing and helpful resource, thank you!
The log used to determine number of bits should probably be consistent throughout or clarified each time. Here, the log 2 scale is used, when elsewhere there is usage of the log 10 scale.