{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Synthetic control with sci-kit learn models" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import LinearRegression\n", "\n", "import causalpy as cp" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Load data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "df = cp.load_data(\"sc\")\n", "treatment_time = 70" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Analyse with `WeightedProportion` model" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Note, we do not want an intercept in this model\n", "result = cp.SyntheticControl(\n", " df,\n", " treatment_time,\n", " formula=\"actual ~ 0 + a + b + c + d + e + f + g\",\n", " model=cp.skl_models.WeightedProportion(),\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/benjamv/opt/mambaforge/envs/CausalPy/lib/python3.11/site-packages/IPython/core/pylabtools.py:77: DeprecationWarning: backend2gui is deprecated since IPython 8.24, backends are managed in matplotlib and can be externally registered.\n", " warnings.warn(\n", "/Users/benjamv/opt/mambaforge/envs/CausalPy/lib/python3.11/site-packages/IPython/core/pylabtools.py:77: DeprecationWarning: backend2gui is deprecated since IPython 8.24, backends are managed in matplotlib and can be externally registered.\n", " warnings.warn(\n", "/Users/benjamv/opt/mambaforge/envs/CausalPy/lib/python3.11/site-packages/IPython/core/pylabtools.py:77: DeprecationWarning: backend2gui is deprecated since IPython 8.24, backends are managed in matplotlib and can be externally registered.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = result.plot(plot_predictors=True)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "==================================Pre-Post Fit==================================\n", "Formula: actual ~ 0 + a + b + c + d + e + f + g\n", "Model coefficients:\n", " a\t 0.385\n", " b\t 0.172\n", " c\t 0.443\n", " d\t 0\n", " e\t 5.39e-18\n", " f\t 0\n", " g\t 0\n" ] } ], "source": [ "result.summary(round_to=3)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "But we can see that (for this dataset) these estimates are quite bad. So we can lift the \"sum to 1\" assumption and instead use the `LinearRegression` model, but still constrain weights to be positive. Equally, you could experiment with the `Ridge` model (e.g. `Ridge(positive=True, alpha=100)`)." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Analyse with the `LinearRegression` model" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Note, we do not want an intercept in this model\n", "result = cp.SyntheticControl(\n", " df,\n", " treatment_time,\n", " formula=\"actual ~ 0 + a + b + c + d + e + f + g\",\n", " model=LinearRegression(positive=True),\n", ")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = result.plot(plot_predictors=True)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "==================================Pre-Post Fit==================================\n", "Formula: actual ~ 0 + a + b + c + d + e + f + g\n", "Model coefficients:\n", " a\t 0.322\n", " b\t 0.0581\n", " c\t 0.288\n", " d\t 0.0561\n", " e\t 0.00418\n", " f\t 0.229\n", " g\t 0.0378\n" ] } ], "source": [ "result.summary(round_to=3)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3.10.6 ('CausalPy')", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.9" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "46d31859cc45aa26a1223a391e7cf3023d69984b498bed11e66c690302b7e251" } } }, "nbformat": 4, "nbformat_minor": 2 }