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+ reran again to ensure cell execution order even for markdown cells
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examples/generalized_linear_models/GLM-ordinal-features.ipynb

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"+ `chi_d450`: Non-linear response throughout the range\n",
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"+ `nu_d450`: The non-linear effect `beta * chi.csum()` is clear, in particular `c0` is far from the trend of `c1, c2, c3`\n",
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"\n",
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"Note in particular that the posterior distribution of `chi_d450 = c4` (and thus `nu_d450 = c4`) is almost exactly the \n",
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"Note in particular that the posterior distribution of `chi_d450 = c4` is almost exactly the \n",
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"same value as for its prior, because it hasn't been evidenced in the dataset. The constraint of the Dirichlet has in\n",
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"turn scaled the values for `c0` to `c3` and the scale of `beta_450`. \n",
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"turn scaled the values for `chi_d450 = c0 to c3`, the scale of `beta_450`, and downstream effects on `nu_d450 = c4`.\n",
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"\n",
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"For comparison you can try the inferior alternative by setting `COORDS['d450_nm']=list(df[d450].cat.categories)` in the\n",
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"model spec in Section 2.1 and re-running and seeing what happens"

examples/generalized_linear_models/GLM-ordinal-features.myst.md

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@@ -1454,9 +1454,9 @@ Interesting pattern:
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+ `chi_d450`: Non-linear response throughout the range
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+ `nu_d450`: The non-linear effect `beta * chi.csum()` is clear, in particular `c0` is far from the trend of `c1, c2, c3`
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Note in particular that the posterior distribution of `chi_d450 = c4` (and thus `nu_d450 = c4`) is almost exactly the
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Note in particular that the posterior distribution of `chi_d450 = c4` is almost exactly the
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same value as for its prior, because it hasn't been evidenced in the dataset. The constraint of the Dirichlet has in
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turn scaled the values for `c0` to `c3` and the scale of `beta_450`.
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turn scaled the values for `chi_d450 = c0 to c3`, the scale of `beta_450`, and downstream effects on `nu_d450 = c4`.
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For comparison you can try the inferior alternative by setting `COORDS['d450_nm']=list(df[d450].cat.categories)` in the
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model spec in Section 2.1 and re-running and seeing what happens

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