Revised multilevel modeling notebook

[ghost]

This is an update to the multilevel modeling notebook that makes two main changes:

1. Removes the independent floor vs basement parameterization from the current notebook. Expressing the floor and basement measurements as entirely independent is not a great starting point, given that they are measuring the exact same phenomenon, just from a different location. This reverts to the covariate model that simply uses floor as an offset. I think this is less confusing overall.
2. Adds the non-centered parameterization. While perhaps redundant with another notebook, its an important component of modeling this problem correctly.

I am also removing the GLM-hierarchical notebook, as it is almost completely redundant with this one, now that it no longer uses the extinct glm submodule.

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[twiecki]

So far I only skimmed but this looks excellent. Still need to solve pre-commit issues with the myst files.

[fonnesbeck]

Pre-commit issues fixed.

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twiecki commented on 2022-11-25T14:46:17Z
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Can we add axis labels?

fonnesbeck commented on 2022-11-25T22:56:19Z
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Added.

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twiecki commented on 2022-11-25T14:46:18Z
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Curious why these look so different from before.

fonnesbeck commented on 2022-11-25T16:29:36Z
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Probably a function of the odd parameterization that is in the current version (assuming floor and basement are independent). This revision matches what you see in Gelman.

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twiecki commented on 2022-11-25T14:46:19Z
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You could link to my blog post where I go into more detail: https://twiecki.io/blog/2017/02/08/bayesian-hierchical-non-centered/

fonnesbeck commented on 2022-11-25T22:58:56Z
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Added a link.

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twiecki commented on 2022-11-25T14:46:20Z
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You could also mention somewhere that instead of a hierchical model, we can place geospatial distribution over the counties radon levels like here: https://www.pymc-labs.io/blog-posts/spatial-gaussian-process-01/

fonnesbeck commented on 2022-11-25T23:02:36Z
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Added a link.

[fonnesbeck]

Probably a function of the odd parameterization that is in the current version (assuming floor and basement are independent). This revision matches what you see in Gelman.

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[fonnesbeck]

Added.

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[fonnesbeck]

Added a link.

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[fonnesbeck]

Added a link.

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[twiecki]

Great stuff, this classic is in great shape now!