{ "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.skl_experiments.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": [ { "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": "stderr", "output_type": "stream", "text": [ "/Users/benjamv/git/CausalPy/causalpy/skl_experiments.py:232: FutureWarning: \n", "\n", "Passing `palette` without assigning `hue` is deprecated and will be removed in v0.14.0. Assign the `y` variable to `hue` and set `legend=False` for the same effect.\n", "\n", " sns.barplot(\n", "/Users/benjamv/git/CausalPy/causalpy/skl_experiments.py:232: UserWarning: \n", "The palette list has fewer values (6) than needed (7) and will cycle, which may produce an uninterpretable plot.\n", " sns.barplot(\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "result.plot_coeffs()" ] }, { "cell_type": "code", "execution_count": 6, "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", "\ta\t\t0.385\n", "\tb\t\t0.172\n", "\tc\t\t0.443\n", "\td\t\t0\n", "\te\t\t5.39e-18\n", "\tf\t\t0\n", "\tg\t\t0\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": 7, "metadata": {}, "outputs": [], "source": [ "# Note, we do not want an intercept in this model\n", "result = cp.skl_experiments.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": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = result.plot()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/benjamv/git/CausalPy/causalpy/skl_experiments.py:232: FutureWarning: \n", "\n", "Passing `palette` without assigning `hue` is deprecated and will be removed in v0.14.0. Assign the `y` variable to `hue` and set `legend=False` for the same effect.\n", "\n", " sns.barplot(\n", "/Users/benjamv/git/CausalPy/causalpy/skl_experiments.py:232: UserWarning: \n", "The palette list has fewer values (6) than needed (7) and will cycle, which may produce an uninterpretable plot.\n", " sns.barplot(\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "result.plot_coeffs()" ] }, { "cell_type": "code", "execution_count": 10, "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", "\ta\t\t0.322\n", "\tb\t\t0.0581\n", "\tc\t\t0.288\n", "\td\t\t0.0561\n", "\te\t\t0.00418\n", "\tf\t\t0.229\n", "\tg\t\t0.0378\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 }