change equals to sim in model 3 maths

Author: drbenvincent

examples/generalized_linear_models/GLM-simpsons-paradox.ipynb

@@ -1446,8 +1446,8 @@
     "\n",
     "$$\n",
     "\\begin{aligned}\n",
-    "p_{0\\mu}, p_{1\\mu} &= \\text{Normal}(0, 1) \\\\\n",
-    "p_{0\\sigma}, p_{1\\sigma} &= \\text{Gamma}(2, 2) \\\\\n",
+    "p_{0\\mu}, p_{1\\mu} &\\sim \\text{Normal}(0, 1) \\\\\n",
+    "p_{0\\sigma}, p_{1\\sigma} &\\sim \\text{Gamma}(2, 2) \\\\\n",
     "\\vec{\\beta_0} &\\sim \\text{Normal}(p_{0\\mu}, p_{0\\sigma}) \\\\\n",
     "\\vec{\\beta_1} &\\sim \\text{Normal}(p_{1\\mu}, p_{1\\sigma}) \\\\\n",
     "\\sigma &\\sim \\text{Gamma}(2, 2) \\\\\n",

examples/generalized_linear_models/GLM-simpsons-paradox.myst.md

@@ -439,8 +439,8 @@ And we could describe this model mathematically as:
 
 $$
 \begin{aligned}
-p_{0\mu}, p_{1\mu} &= \text{Normal}(0, 1) \\
-p_{0\sigma}, p_{1\sigma} &= \text{Gamma}(2, 2) \\
+p_{0\mu}, p_{1\mu} &\sim \text{Normal}(0, 1) \\
+p_{0\sigma}, p_{1\sigma} &\sim \text{Gamma}(2, 2) \\
 \vec{\beta_0} &\sim \text{Normal}(p_{0\mu}, p_{0\sigma}) \\
 \vec{\beta_1} &\sim \text{Normal}(p_{1\mu}, p_{1\sigma}) \\
 \sigma &\sim \text{Gamma}(2, 2) \\