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examples/generalized_linear_models/GLM-simpsons-paradox.ipynb

Lines changed: 680 additions & 73 deletions
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examples/generalized_linear_models/GLM-simpsons-paradox.myst.md

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@@ -116,7 +116,7 @@ with pm.Model() as linear_regression:
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sigma = pm.HalfCauchy("sigma", beta=2)
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β0 = pm.Normal("β0", 0, sigma=5)
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β1 = pm.Normal("β1", 0, sigma=5)
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x = pm.MutableData("x", data.x, dims="obs_id")
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x = pm.Data("x", data.x, dims="obs_id")
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μ = pm.Deterministic("μ", β0 + β1 * x, dims="obs_id")
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pm.Normal("y", mu=μ, sigma=sigma, observed=data.y, dims="obs_id")
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```
@@ -238,8 +238,8 @@ with pm.Model(coords=coords) as ind_slope_intercept:
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β0 = pm.Normal("β0", 0, sigma=5, dims="group")
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β1 = pm.Normal("β1", 0, sigma=5, dims="group")
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# Data
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x = pm.MutableData("x", data.x, dims="obs_id")
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g = pm.MutableData("g", data.group_idx, dims="obs_id")
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x = pm.Data("x", data.x, dims="obs_id")
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g = pm.Data("g", data.group_idx, dims="obs_id")
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# Linear model
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μ = pm.Deterministic("μ", β0[g] + β1[g] * x, dims="obs_id")
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# Define likelihood
@@ -395,8 +395,8 @@ with pm.Model(coords=coords) as hierarchical:
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β1 = pm.Normal("β1", slope_mu, sigma=slope_sigma, dims="group")
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# Data
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x = pm.MutableData("x", data.x, dims="obs_id")
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g = pm.MutableData("g", data.group_idx, dims="obs_id")
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x = pm.Data("x", data.x, dims="obs_id")
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g = pm.Data("g", data.group_idx, dims="obs_id")
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# Linear model
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μ = pm.Deterministic("μ", β0[g] + β1[g] * x, dims="obs_id")
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# Define likelihood

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