Seriously, though, there's one nomogram you (yes you) should know about and have it well-enough engraved in your mind's eye that you can use it with eyes closed. A nomogram for Bayes' theorem: https://www.ovid.com/journals/nejm/abstract/10.1056/nejm1975...
That is cool, although it took me awhile to understand it because the posterior probability is on the left and the prior probability is on the right, and because it uses D=Disease and T=Test when I am used to seeing D=Data.
If you like things like this I can recommend you check out the Chris Staecker youtube channel. He covers all sorts of tools people used to use to do math before computers and calculators, and there are a lot of them. Some of the things people came up with to do what today would be considered relatively simple math are pretty clever, pretty complex, or both.
Seriously, though, there's one nomogram you (yes you) should know about and have it well-enough engraved in your mind's eye that you can use it with eyes closed. A nomogram for Bayes' theorem: https://www.ovid.com/journals/nejm/abstract/10.1056/nejm1975...
That is cool, although it took me awhile to understand it because the posterior probability is on the left and the prior probability is on the right, and because it uses D=Disease and T=Test when I am used to seeing D=Data.
Neat. This is based on Bayes' rule in its odds form[1], or more specifically in log-odds form, where evidence is additive[2].
[1]: https://entropicthoughts.com/bayes-rule-odds-form
[2]: https://entropicthoughts.com/sensitivity-counts-against-you
Actually I find nomograms in log form really cool for making naive bayes classifiers 'explainable'. One can even add density for continuous values.
IMHO this is so much nicer than e.g. decisions tree visualizations (which everyone quotes for the most explainable AI models).
It is indeed a great tool for visualizing Bayesian relations. You can even "feel" the sensitivity.
That was a bit small on my screen. Found an interactive one here that's scalable - https://www.medcalc.org/en/calc/fagans-nomogram.php
Can you use actually use it eyes closed? Never heard of that level of precision in the mind's eye
The Smith chart is the electrical engineer's favorite: https://en.wikipedia.org/wiki/Smith_chart
You either love it or hate it, depending on how well your electromagnetics class was taught.
If you like things like this I can recommend you check out the Chris Staecker youtube channel. He covers all sorts of tools people used to use to do math before computers and calculators, and there are a lot of them. Some of the things people came up with to do what today would be considered relatively simple math are pretty clever, pretty complex, or both.
https://www.youtube.com/@ChrisStaecker
I read the title as "Nonogram" (Picross) at first !
video explaining what a Nomogram is and how to make them by hand https://www.youtube.com/watch?v=GCd9hANNLsw
The US Navy still uses nomograms for chemistry control on nuclear reactors!
There's an old paper about the mathematics of nomograms that I found interested when I stumbled across it: https://doi.org/10.1016/0001-8708(65)90042-3
I think the Numogram is more interesting, highly relevant today due to AI happenings