improvements to current banks

Author: drbenvincent

docs/source/notebooks/did_pymc_banks.ipynb

@@ -539,6 +539,25 @@
     "The only change here compared to the classic 2$\\times$2 DiD model above is the addition of a main effect of `year`. Because this is coded numerically (not categorically) this can capture any linear changes in the outcome variable over time."
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "We will use the formula: `bib ~ 1 + year + district*post_treatment` which equates to the following model of expected values:\n",
+    "\n",
+    "$$\n",
+    "\\begin{aligned}\n",
+    "\\mu_i & = \\beta_0 \\\\\n",
+    " & \\quad + \\beta_{y} \\cdot year_i \\\\\n",
+    " & \\quad + \\beta_{d} \\cdot district_i \\\\\n",
+    " & \\quad + \\beta_{p} \\cdot post~treatment_i \\\\\n",
+    " & \\quad + \\beta_{\\Delta} \\cdot district_i \\cdot post~treatment_i\n",
+    "\\end{aligned}\n",
+    "$$\n",
+    "\n",
+    "The only change here compared to the classic 2$\\times$2 DiD model above is the addition of a main effect of `year`. Because this is coded numerically (not categorically) this can capture any linear changes in the outcome variable over time."
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 10,
@@ -725,7 +744,7 @@
   "kernelspec": {
    "display_name": "CausalPy",
    "language": "python",
-   "name": "python3"
+   "name": "causalpy"
   },
   "language_info": {
    "codemirror_mode": {