3 ms·
Like Tumors are higher dimensional objects than what human brains are trained to perceive.
by Narhem 2y ago
Like Tumors are higher dimensional objects than what human brains are trained to perceive.
- oh_my_goodness 2y agoIf the previous comment is right, then this one is plainly also true in some sense. I'm disappointed to see downvotes.
- TheMrZZ 2y ago> If the previous comment is right I actually coded a Z3 program to prove it! The 3-variables version takes too long to resolve, but I got results for the 2-variables version (tumor size + gender): Results can be found in this GSheet: https://docs.google.com/spreadsheets/d/1tsBhElTgXjVTeas8quarGE7Go4n9DZ1aTUomnvUeIKs/edit?usp=sharing https://docs.google.com/spreadsheets/d/1tsBhElTgXjVTeas8quar... Code is here: https://gist.github.com/TheMrZZ/c33927ca2cc917997a67d7f84b8205c9 https://gist.github.com/TheMrZZ/c33927ca2cc917997a67d7f84b82... I'm currently running the 3-variables version, hopefully I'll get results this afternoon. We can clearly see the same problems that arise in the 1-variable Simpson's paradox (widely different population sizes).
- gradschoolfail 2y agoFor pedagogues and practitioners alike: there is a subtle connection between Simpson’s paradox and the wild geometry of relative entropy. This might be partly why effect sizes are also contentious. Besides Ellenberg’s mind-altering discussion of that link[1], see hints on the second page of: https://www.qeios.com/read/XB1N2A/pdf https://www.qeios.com/read/XB1N2A/pdf [1] "[the point of Simpson’s paradox] isn't really to tell us which viewpoint to take but to insist that we keep both the parts and the whole in mind at once." Ellenberg, from Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else (2021)