remove commas from model 3 maths

Author: drbenvincent

examples/generalized_linear_models/GLM-simpsons-paradox.ipynb

@@ -1445,12 +1445,12 @@
     "\n",
     "$$\n",
     "\\begin{aligned}\n",
-    "\\beta_0 &\\sim \\text{Normal}(0, 5), \\\\\n",
-    "\\beta_1 &\\sim \\text{Normal}(0, 5), \\\\\n",
-    "p_{0\\sigma}, p_{1\\sigma} &\\sim \\text{Gamma}(2, 2), \\\\\n",
-    "\\vec{u_0} &\\sim \\text{Normal}(0, p_{0\\sigma}), \\\\ \n",
-    "\\vec{u_1} &\\sim \\text{Normal}(0, p_{1\\sigma}), \\\\ \n",
-    "\\sigma &\\sim \\text{Gamma}(2, 2), \\\\\n",
+    "\\beta_0 &\\sim \\text{Normal}(0, 5) \\\\\n",
+    "\\beta_1 &\\sim \\text{Normal}(0, 5) \\\\\n",
+    "p_{0\\sigma}, p_{1\\sigma} &\\sim \\text{Gamma}(2, 2) \\\\\n",
+    "\\vec{u_0} &\\sim \\text{Normal}(0, p_{0\\sigma}) \\\\ \n",
+    "\\vec{u_1} &\\sim \\text{Normal}(0, p_{1\\sigma}) \\\\ \n",
+    "\\sigma &\\sim \\text{Gamma}(2, 2) \\\\\n",
     "\\mu_i &= \\overbrace{\n",
     "            \\left( \n",
     "                \\underbrace{\\beta_0}_{\\text{pop}} \n",
@@ -1462,8 +1462,8 @@
     "                \\underbrace{\\beta_1 \\cdot x_i}_{\\text{pop}} \n",
     "                + \\underbrace{\\vec{u_1}[g_i] \\cdot x_i}_{\\text{group}} \n",
     "            \\right)\n",
-    "         }^{\\text{slope}}, \\\\\n",
-    "y_i &\\sim \\text{Normal}(\\mu_i, \\sigma).\n",
+    "         }^{\\text{slope}} \\\\\n",
+    "y_i &\\sim \\text{Normal}(\\mu_i, \\sigma)\n",
     "\\end{aligned}\n",
     "$$\n",
     "\n",

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

@@ -433,12 +433,12 @@ And we could describe this model mathematically as:
 
 $$
 \begin{aligned}
-\beta_0 &\sim \text{Normal}(0, 5), \\
-\beta_1 &\sim \text{Normal}(0, 5), \\
-p_{0\sigma}, p_{1\sigma} &\sim \text{Gamma}(2, 2), \\
-\vec{u_0} &\sim \text{Normal}(0, p_{0\sigma}), \\ 
-\vec{u_1} &\sim \text{Normal}(0, p_{1\sigma}), \\ 
-\sigma &\sim \text{Gamma}(2, 2), \\
+\beta_0 &\sim \text{Normal}(0, 5) \\
+\beta_1 &\sim \text{Normal}(0, 5) \\
+p_{0\sigma}, p_{1\sigma} &\sim \text{Gamma}(2, 2) \\
+\vec{u_0} &\sim \text{Normal}(0, p_{0\sigma}) \\ 
+\vec{u_1} &\sim \text{Normal}(0, p_{1\sigma}) \\ 
+\sigma &\sim \text{Gamma}(2, 2) \\
 \mu_i &= \overbrace{
             \left( 
                 \underbrace{\beta_0}_{\text{pop}} 
@@ -450,8 +450,8 @@ p_{0\sigma}, p_{1\sigma} &\sim \text{Gamma}(2, 2), \\
                 \underbrace{\beta_1 \cdot x_i}_{\text{pop}} 
                 + \underbrace{\vec{u_1}[g_i] \cdot x_i}_{\text{group}} 
             \right)
-         }^{\text{slope}}, \\
-y_i &\sim \text{Normal}(\mu_i, \sigma).
+         }^{\text{slope}} \\
+y_i &\sim \text{Normal}(\mu_i, \sigma)
 \end{aligned}
 $$