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What Is a Nomogram and Why Would It Interest Me?

lefakkomies.github.io

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Re: What Is a Nomogram and Why Would It Interest Me?

#4

Post by senkora »

cscheid wrote: post #3

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.

Re: What Is a Nomogram and Why Would It Interest Me?

#5

Post by kqr »

cscheid wrote: post #3

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...

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

Re: What Is a Nomogram and Why Would It Interest Me?

#6

Post by riedel »

kqr wrote: post #5
cscheid wrote: post #3

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...

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).

Re: What Is a Nomogram and Why Would It Interest Me?

#7

Post by alnwlsn »

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

Re: What Is a Nomogram and Why Would It Interest Me?

#8

Post by tgv »

riedel wrote: post #6
kqr wrote: post #5

Earlier quoted context omitted.

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.

Re: What Is a Nomogram and Why Would It Interest Me?

#10

Post by speff »

cscheid wrote: post #3

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 was a bit small on my screen. Found an interactive one here that's scalable - https://www.medcalc.org/en/calc/fagans-nomogram.php
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