{ "cells": [ { "cell_type": "markdown", "id": "258ff2e5", "metadata": {}, "source": [ "(mmm_lift_test)=\n", "\n", "# Lift Test Calibration\n", "\n", "## Introduction\n", "\n", "You may have heard of the phrase \"all models are wrong; some models are useful.\" This is true in many areas, and it's likely that after the first attempt, you haven't yet created a model that can accurately determine your true attribution. Even if you have, how can you be sure? We create models to understand the attribution of our marketing channels, but it appears that even then, we can't always rely on what the models tell us.\n", "\n", "In order to ensure that our models are decomposing correctly, we can use various testing methods to gather real-world data and compare it with our models. This will help us to identify any discrepancies and improve the decomposition accuracy of our models. \n", "\n", "Today, we will explore a new way to integrate experiments into **pymc-marketing**. This will bring us closer to accurate representations of real-world values and improve the estimates generated by our models.\n", "\n", "## Requirements\n", "\n", "Today, we won't be discussing how to conduct various tests, but instead, we will focus on their utilization. If you wish to acquire knowledge on how to generate results that are compatible with your MMM models, you can check out [CausalPy](https://causalpy.readthedocs.io/en/latest/) for conducting experiments.\n", "\n", "## Goal\n", "\n", "After reading this notebook, you will have gained the necessary expertise to incorporate the results (detected uplift from your experiments) into our regressive model.\n", "\n", "This notebook will display using the `add_lift_test_measurements` method of `DelayedSaturatedMMM` and its workflow:\n", "\n", "1. Build model: `mmm.build_model(X, y)`\n", "2. Add lift measurements: `mmm.add_lift_test_measurements(df_lift_test)`\n", "2. Sample posterior: `mmm.fit(X, y)`\n", "\n", "This is a case study of two correlated channels to see how lift tests help distinguish the channel effects." ] }, { "cell_type": "code", "execution_count": 1, "id": "3c60cf7f", "metadata": {}, "outputs": [], "source": [ "from functools import partial\n", "\n", "import arviz as az\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import pymc as pm\n", "\n", "from pymc_marketing.mmm import DelayedSaturatedMMM\n", "from pymc_marketing.mmm.transformers import logistic_saturation" ] }, { "cell_type": "code", "execution_count": 2, "id": "f2ba181a-642f-4def-9eb9-c90235352f1d", "metadata": {}, "outputs": [], "source": [ "az.style.use(\"arviz-darkgrid\")\n", "plt.rcParams[\"figure.figsize\"] = [12, 7]\n", "plt.rcParams[\"figure.dpi\"] = 100\n", "\n", "%config InlineBacken.figure_format = \"retina\"" ] }, { "cell_type": "markdown", "id": "540a1f69", "metadata": {}, "source": [ "## Generate Correlated Spends and Model Target\n", "\n", "Spend data for two channels with completely correlated spends\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "f0422388", "metadata": {}, "outputs": [], "source": [ "seed = sum(map(ord, \"Lift tests help distinguish channel effects\"))\n", "rng = np.random.default_rng(seed)" ] }, { "cell_type": "code", "execution_count": 4, "id": "9c1a00d6", "metadata": { "tags": [ "hide-cell" ] }, "outputs": [], "source": [ "n_dates = 52\n", "dates = pd.date_range(start=\"2024-01-01\", periods=n_dates, freq=\"W-MON\")\n", "\n", "spend_rv = pm.Uniform.dist(lower=0, upper=1, size=n_dates)\n", "\n", "spend = pm.draw(spend_rv, random_seed=rng)\n", "\n", "spend /= spend.max()" ] }, { "cell_type": "code", "execution_count": 5, "id": "f4d99da0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df = pd.DataFrame(\n", " {\n", " \"date\": dates,\n", " \"channel 1\": spend,\n", " \"channel 2\": spend,\n", " }\n", ")\n", "\n", "ax = df.set_index(\"date\").plot(ylabel=\"channel spend\");" ] }, { "cell_type": "markdown", "id": "6d74c015", "metadata": {}, "source": [ "Perfectly correlated data" ] }, { "cell_type": "code", "execution_count": 6, "id": "f8f86a8c", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
channel 1channel 2
channel 11.01.0
channel 21.01.0
\n", "
" ], "text/plain": [ " channel 1 channel 2\n", "channel 1 1.0 1.0\n", "channel 2 1.0 1.0" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.filter(regex=\"channel\").corr()" ] }, { "cell_type": "markdown", "id": "eb9ea5d3-ed18-48ad-9bfe-2ba395c90a11", "metadata": {}, "source": [ "We use the `DelayedSaturatedMMM` class to specify our model just as usual. " ] }, { "cell_type": "code", "execution_count": 7, "id": "06ad9b9c", "metadata": {}, "outputs": [], "source": [ "mmm = DelayedSaturatedMMM(\n", " date_column=\"date\",\n", " channel_columns=[\"channel 1\", \"channel 2\"],\n", " adstock_max_lag=6,\n", ")" ] }, { "cell_type": "markdown", "id": "3a0d5149", "metadata": {}, "source": [ "For this constructed example, we will set parameter of the model with the `pm.do` operator and take a random sample of the target variable. The fixed parameters are below which we will try to recover.\n", "\n", "At this point, a model has not been fit. However, we have created our data set to fit our model on.\n", "\n", "Note: The max value of each spend column was set to 1 in order to account for model prepreprocessing" ] }, { "cell_type": "code", "execution_count": 8, "id": "8dbadef5", "metadata": {}, "outputs": [], "source": [ "true_lam_c1 = 10\n", "true_beta_c1 = 0.55\n", "\n", "true_lam_c2 = 1.5\n", "true_beta_c2 = 1.0\n", "\n", "true_params = {\n", " \"alpha\": [0.5, 0.5],\n", " \"lam\": [true_lam_c1, true_lam_c2],\n", " \"beta_channel\": [true_beta_c1, true_beta_c2],\n", " \"intercept\": 0.5,\n", " \"likelihood_sigma\": 0.25,\n", "}" ] }, { "cell_type": "code", "execution_count": 9, "id": "d5c4dd48", "metadata": { "tags": [ "hide-cell" ] }, "outputs": [], "source": [ "mmm.build_model(df.reset_index(), y=np.ones(n_dates))\n", "fixed_model = pm.do(mmm.model, true_params)\n", "df[\"y\"] = pm.draw(fixed_model[\"y\"], random_seed=rng)\n", "mmm.model = None" ] }, { "cell_type": "code", "execution_count": 10, "id": "e6ec436c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = df.set_index(\"date\").plot(ylabel=\"\", title=\"Channel spends and target variable\")\n", "ax.legend(bbox_to_anchor=(1.0, 1.05), title=\"column\");" ] }, { "cell_type": "code", "execution_count": 11, "id": "8e33d023", "metadata": {}, "outputs": [], "source": [ "X = df.reset_index().drop(\"y\", axis=1)\n", "y = df[\"y\"]" ] }, { "cell_type": "markdown", "id": "c23a0fff-08d9-48de-bc3a-76538d0f0c5d", "metadata": {}, "source": [ "## Indistinguishable Parameter Estimates\n", "\n", "In order to show the trouble that completely correlated channels provides, let's fit the model" ] }, { "cell_type": "code", "execution_count": 12, "id": "45eede02", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Compiling...\n", "An NVIDIA GPU may be present on this machine, but a CUDA-enabled jaxlib is not installed. Falling back to cpu.\n", "Compilation time = 0:00:04.523585\n", "Sampling...\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e0c49a3844da42c3b29c5ea39eee9671", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/2000 [00:00 plt.Axes:\n", " top = 2 * split\n", " ymin, ymax = (0, split) if channel == \"channel 2\" else (split, top)\n", " ax.axvline(value, ymin=ymin, ymax=ymax, color=\"black\", linestyle=\"dashed\")\n", " return ax" ] }, { "cell_type": "code", "execution_count": 14, "id": "b939122d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = az.plot_forest(idata_without, var_names=[\"lam\"], combined=True)[0]\n", "\n", "plot_true_value(true_lam_c1, \"channel 1\", ax=ax, split=0.4)\n", "plot_true_value(true_lam_c2, \"channel 2\", ax=ax, split=0.4);" ] }, { "cell_type": "code", "execution_count": 15, "id": "ef7cc996", "metadata": {}, "outputs": [ { "data": { "image/png": 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SkurVqyeJ2yHB8fFTAQAAwCDCGAAAgEGEMQAAAIMIYwAAAAYRxgAAAAwijAEAABjE1BYAgGLHzc1NvXv3tj0GHBmfUABAsePp6amxY8eaLgPIEYYpAQAADKJnDABQ7FitVsXExEiSAgICZLFYDFcE3B5hDABQ7CQmJiooKEgSt0OC42OYEgAAwCDCGAAAgEGEMQAAAIMIYwAAAAYRxgAAAAwijAEAABjE1BYAgGLHzc1N3bp1sz0GHBmfUABAsePp6anPP//cdBlAjjBMCQAAYBA9YwCAYsdqtSoxMVGS5O3tze2Q4NDoGQMAFDuJiYmqXLmyKleubAtlgKMijAEAABhEGAMAADCIMAYAAGAQYQwAAMAgwhgAAIBBhDEAAACDmGcMAFDsuLq66qmnnrI9BhwZYQwAUOx4eXlp9uzZpssAcoRhSgAAAIMIYwAAAAYRxgAAxU5CQoL8/f3l7++vhIQE0+UAd0QYAwAAMIgwBgAAYBBhDAAAwCDCGAAAgEGEMQAAAIMIYwAAAAYxAz8AoNhxdXVVu3btbI8BR0YYAwAUO15eXlq4cKHpMoAcYZgSAADAoFyFsR07dig4OFiTJ08urHocXo8ePRQcHGy6jCIVHBysHj162C3LPA6Z/23atClPbS9ZskTBwcFasmRJQZR6TxgxYoSCg4MVHR1dKO0PGzbM7r1xpmMLAPcihxumbN26tSRp/fr1hitBTgwYMECSVKVKFcOVFF/r16/Xli1bFBkZqSNHjigpKUkDBgzQwIEDs90+LCxMVapU0eHDh7Vu3boirhZwDAkJCbYfzkePHpWPj4/hioDbc7gwhnvL7QIBCs6sWbMUEREhX19flS9fXmfOnLnj9mFhYQoLC9OSJUsIY3BqiYmJpksAcoRzxgAH9+abb+qnn37SL7/8ojfffNN0OSggp05bFb7FqlOnraZLAWBYnnvGdu7cqYkTJyoyMlLu7u569NFH9dZbb6lixYpZto2JidG0adO0YcMGnT9/Xj4+PmrcuLEGDhyooKAgSVJ0dLTatGlje86t52VlDsmkpKRo4cKF2rhxo3799VfFxMSoZMmSatCggfr166datWrl9eXIarXqu+++06JFi3T06FGlpqaqQoUKatq0qfr06aNKlSrZbZ+WlqZp06Zp8eLFunjxogIDA/XSSy/phRdesNvuwoULWrhwocLDwxUVFaVr166pfPnyatGihQYOHKiAgAC77UeMGKGlS5dq3bp1+vnnnzVv3jxFR0erbNmy6ty5s/r16ycXlz8y9JIlS/T222/ro48+0n333adJkybp8OHD8vT0VMuWLTVixAiVKVMmy+s9cuSIpk2bpp07d+rKlSsqV66cWrdurQEDBmS7fV4cOXJE06dPV0REhGJjY+Xn56fg4GC98MILtuHoW23bti1H9S9atEjr1q3T0aNHdenSJZUoUUJ16tTR//zP/6hp06Z22+7YsUMvvfSSBgwYoNatW2vcuHHavXu3XFxc1LRpU7399tu6//777Z4THBysxo0ba+LEiRo7dqw2btyohIQEPfTQQxo6dKiaNGmSpfbr169r5syZ+umnnxQVFSUPDw+FhISob9++atiwYb6OY36f72zirjhuuLFaM3QmKkOffCrt3ffH8nohVg0bKpUuZTFXXBEr4+c8rxW4mzyFsb1792ratGlq2bKlevToocjISC1fvly7du3SokWLVLZsWdu2Z8+eVY8ePXThwgU1a9ZMbdu2VUxMjFavXq3w8HDNnj1bISEhKlWqlAYMGKAvv/xSkvTyyy/b2mjcuLEkKT4+Xh9++KEaNmyoxx57TKVKlVJUVJTWr1+vTZs2ad68eapbt26uX4/VatWQIUO0cuVKVahQQe3bt5evr6/OnTunVatWqUWLFlnC2JAhQ7R//361aNFCLi4uWrVqlUaPHi13d3c999xztu1++eUXzZo1S02bNlXdunXl7u6uQ4cOacGCBQoPD9fSpUtVsmTJLDWNGTNGERERatWqlZo1a6Z169Zp8uTJSk1N1eDBg7Nsv2HDBm3YsEGtW7dWvXr1tHPnTn333Xc6e/asFixYYLftunXrNGjQILm6uqp169aqWLGiTpw4oXnz5ik8PFzffPONSpcunevjeKs1a9ZoyJAhslqtatWqlapVq6aYmBjt379fixYtyhLGclP/6NGj9dBDDyk0NFT+/v66cOGC1q5dq169emny5Mlq27ZtlnoOHjyoGTNmqHHjxnr++ed16NAhrV27VseOHdPy5cvl6elpt/3Vq1fVrVs3+fj4qEOHDoqJidGqVavUu3dvLVmyxPYjQpKuXLmiF198UcePH1fDhg3VvHlzXbt2TevWrdPLL7+siRMnZlvTvS4x0aqkJMcLPh2ecbya/hAnFxfJx0ca/Z5FIXWkfQeksZ9a9VJPKSPDkWsvWGtW5XxbT8/cf9aSk612j11cnOfYSnk7Zs7u1mNWokTR/ljIUxgLDw/Xv/71Lz377LO2ZZ999pkmT56scePG6cMPP7QtHz58uC5fvqwZM2aoWbNmtuV9+/ZV586d9e677+qHH35QqVKlNHDgQC1dulRS9ucilS5dWhs3blSFChXslh8/flzPPfecxo8fr1mzZuX69cyfP18rV65UaGiopk6dKi8vL9u65ORkJScnZ3nO77//ruXLl8vX11eS9NJLL6lDhw6aOXOmXRhr2rSpwsPDs5w8+t133+kf//iH5s2bp759+2ZpPzIyUt9//73Kly8vSerXr58ef/xxzZ07V/3795eHh4fd9uvXr9ecOXPUoEEDSVJ6erp69uypiIgI7d27V/Xq1ZMkxcXFafjw4fL399eCBQvsQuby5cs1dOhQTZo0SSNHjszNIbQTExOj4cOHy83NTV999VWWHsvff/89y3NyWr8krVixQpUrV7Z7/sWLF9W5c2eNHTs22+CzceNGjR8/Xk888YRt2fDhw7Vs2TKtXbtW7du3t9v+yJEj6t69u0aOHGnriWzatKneffddzZs3T6NHj7Zt+8EHH+j48eP68MMP1blzZ9vyy5cvq0uXLho5cqQeffTRLIHvXtcoNNZ0CfekjAzpraEWtW5588u+dUvJapVGve9c/3C2+3tuXm/uP2u3BtsOHZ0vjOXlmOGPYxa+sWjDWJ7OGatWrZq6dOlit+zVV1+Vv7+/VqxYoZSUFEnSoUOHtGfPHj3zzDN2QSyzjeeee07Hjh3TsWPHcrRfDw+PLEFMkmrUqKEmTZpo586dSk1NzfXrmT9/vlxdXfXee+/ZBTHp5sSBfn5+WZ4zZMgQWxCTpAceeED169fXqVOndP36ddvygICAbK/iefrpp+Xr66utW7dmW1O/fv1sQUyS/P391aZNGyUkJOjUqVNZtn/yySdtQUa6OeN0x44dJUkHDhywLV+2bJmuX7+uIUOGZOnte/LJJ1W7dm2tWLEi25pyaunSpUpMTFSvXr2yHTrObig7p/VLyhLEJKl8+fJ6/PHHdfr0aZ07dy7L+kaNGtkFMUm24PTn9iXJ29tbw4YNsxsS7tixo9zc3HTw4EHbstjYWK1atUqhoaF2QUySypYtq969eys2Nva27zOcU0gd+z/Xy32HPoBiJE89Y/Xr15fFYp8avby8VLt2bW3evFmnT59WUFCQ9u7dK+lmD0F2c5OdPHnS9v9bh33u5PDhw5o+fbp27dqly5cvZwlfcXFxdiHmbhITE/Xrr7+qSpUqqlq1ao6fV7t27SzLMoPitWvX7ILa6tWrtXDhQkVGRurq1atKT0+3rbt48WKe2v+zO4Weq1ev2pZlvif79u3T2bNnszznxo0biouLU2xsrPz9/bOt7W72798vSVkC+J3ktH5JioqK0rRp07R9+3ZduHDBFv4zZZ7Dl9f2pZtTdfw5RLu5uSkgIMBu+wMHDig9PV03btzI9jN++vRpSTc/461atcqy/l62c5u/rlyJM11GFrnrcTFj34GbPWKZ9u43Vooxa1blvOfBz69Mrj9rSUmu6tHj5nfQ3LmuRT7sZFpejpmzM3nM8hTG/nzSeabMc8Uyw0J8fLykm0NEGzduvG17SUlJOdrv7t27beeSNWvWTFWrVpW3t7csFovWrl2rI0eOZPmH+W4ya82ux+1OsjvPy83t5uG8NWzNnDlTH3/8sfz9/dWsWTNVrFjR1vv25Zdf3rYn79Ywd6f271RP5v3YMjIybMsy35Ovvvoq+xf2/+X0PclOXo5pTus/c+aMnn32WV2/fl1NmjRRq1at5OvrKxcXF0VERCgiIiLbz0BO27/T9tLN9yC747l7927t3r37tq8vP8fTUXl7W3TjhuP9A/fDd6YruD2/0n4aOChO4yZYZbXe7BHbu18aP9GqeiHSB+873vEsLLkJR3n5rJUo4a0VK37IbVnFhqP+/XRkJo9ZnsJYTExMtssvX74s6Y9/yDIDxciRI/Xiiy/mZVd2pk6dqpSUFM2fP99uSEv6o8cntzJrvHDhQn7LyyItLU1TpkxR+fLltWzZMrueJqvVqunTpxf4Pu8m8/X+8MMPOe6NzK3M9//ChQtZrlTMr9mzZys+Pl5jx47VU089Zbfun//8pyIiIgp0f3eTeTxfeeUV/eMf/yjSfSN7jnyVXpkyLvrX+xa9/y+r3TlijRpKo961yM+BawdQePJ0ztju3btltdoPBSQnJysyMlJeXl624b6QkBBJ0p49e3JekItLtj0/0s0rM/38/LIEsaSkJB06dCgXr+APPj4+ql69uqKjo21DSgUlLi5O165dU7169bIM+R04cCDbCwMKW+bVpnkNr7nZx5YtWwq87cyh1T9fjZmRkZGrz1lBqVOnjiwWi5F9497k52fR+E9cNHe2Rf/5t0VzZ9/8M0EMcF55CmOnTp3SokWL7JZNnz5dsbGxat++ve1Kv7p16yokJEQrVqzQypUrs7STkZGRpSejdOnSiouL040bN7JsHxgYqPj4eB0/fty2LD09XR9//LFiY/N+5Uj37t2Vnp6u999/P0tAunHjhq5cuZKndgMCAuTl5aXIyEi7Yar4+Hj961//ynO9+dG5c2f5+Pho/PjxdscxU1JSUr6DWseOHeXt7a1Zs2bp8OHDWdbnpxcy81ywXbt22S3/4osvcnwhSEEqV66c/v73v2vPnj2aPn16lh8p0s3z84rjMCXyp1pVi5o3s6haVUJYYUhISFCNGjVUo0YNJSQkmC4HuKM8DVM2b95c77//vn7++Wc98MADioyMVHh4uO677z4NGTLEbttPP/1UL7/8sgYPHqwvv/xStWvXlqenp3777Tft3btXsbGxdlezNW3aVAcPHlSfPn3UoEEDeXh4qH79+mrYsKFefPFFhYeHq3v37vr73/8uDw8PRURE6MKFC2rcuHGeh6i6d++unTt3atWqVQoLC1Pr1q3l6+ur8+fPKzw8XP/+97/zNE+Ui4uLunfvrpkzZ+rpp59Wq1atdP36dW3atEmBgYG5utCgoPj7+2vcuHF688039fTTT+vRRx/VAw88oBs3bui3335TRESEHnnkEc2YMSPP+wgICNCYMWM0ePBgPfvss2rdurWqVaumuLg47du3T4GBgZoyZUqe2n7++ee1ZMkSDRw4UE888YT8/Py0d+9eHTp0SC1btrzjuYmFZdSoUTp16pTGjh2rZcuW6ZFHHpGvr69+//13RUZG6vTp0woPD1eJEiXy1P7atWu1du1aSbLdXHzt2rW2q0YbNGhgN80MgJtud0oN4GjyFMbq1aunPn36aMKECZozZ47c3d3Vvn17vfXWW3YTvko3pyFYunSpZs2apXXr1mnx4sVycXFR+fLl1bBhQ/3tb3+z275fv366evWqNmzYoO3btysjI0MDBgxQw4YN1apVK02aNEnTpk3T999/Ly8vLzVt2lSff/65Pv/88zwfBIvFovHjx6tZs2ZatGiRli1bJqvVqgoVKuhvf/tbtlc25tSQIUNUunRpLV26VPPnz1fZsmXVvn17DRw4UB06dMhzu/nRsmVLLV26VDNmzNC2bdu0ZcsWeXt7q0KFCurUqVOWc7Hyol27dvr2229ts/yvX79efn5+qlmzpt08bLlVq1YtzZgxQxMmTNDq1avl6uqqRx55RAsWLND69euNhDE/Pz99/fXXmjdvnlauXKkffvhBGRkZKlu2rB566CH17ds3X3c1OHz4sG3+vUxHjhzRkSNHbH8mjAHAvctizW5cBbiLHj16KCIiQkePHjVdCm7j1ltlderUKdtt4uLyfhl3mTJl8vV8Z8Qxy5u8HLeEhATbnIRRUVHZzvdYnPFZy72COmZ5+fGd53tTAtIf9xD94osv1KJFC8PVQJKGDRumH35w3kv6AeBeQxhDnnTs2NF2z1Dp5iSpcAxhYWF270fNmjUNVgMAuJtiGcaio6OznGOTnZIlS6pnz56FX1AxdLthL5gXFhamsLAw02UAAHKoWIaxc+fO6bPPPrvrdoGBgYQxACiGXFxc9Mgjj9geA46sWIaxJk2acGI5ADixEiVKaN26dabLAHKEnwsAAAAGEcYAAAAMIowBAIqdxMREhYSEKCQkRImJiabLAe6oWJ4zBgBwblarVVFRUbbHgCOjZwwAAMAgwhgAAIBBhDEAAACDCGMAAAAGEcYAAAAM4mpKAECxY7FYFBwcbHsMODLCGACg2PH29ta2bdtMlwHkCMOUAAAABhHGAAAADCKMAQCKncTERIWGhio0NJTbIcHhcc4YAKDYsVqtOnr0qO0x4MjoGQMAADCIMAYAAGAQYQwAAMAgwhgAAIBBhDEAAACDuJoSAFDsWCwWVa5c2fYYcGSEMQBAsePt7a19+/aZLgPIEYYpAQAADCKMAQAAGEQYAwAUO0lJSWrTpo3atGmjpKQk0+UAd8Q5YwCAYicjI0N79uyxPQYcGT1jAAAABhHGAAAADCKMAQAAGEQYAwAAMIgwBgAAYBBXUwIAiqWAgADTJQA5QhgDABQ7Pj4+On78uOkygBxhmBIAAMAgwhgAAIBBhDEAQLGTlJSkDh06qEOHDtwOCQ6Pc8YAAMVORkaGtmzZYnsMODJ6xgAAAAwijAEAABhEGAMAADCIMAYAAGAQYQwAAMAgrqYEABRL3t7epksAcoQwBgAodnx8fBQdHW26DCBHGKYEAAAwiDAGAABgEGEMAFDsJCcnq2vXruratauSk5NNlwPcEeeMAQCKnfT0dK1Zs8b2GHBk9IwBAAAYRBgDAAAwiDAGAABgEGEMAADAIMIYAACAQYQxAAAAg5jaAgBQ7Pj4+Cg2NtZ0GbgHpKSkaOrUqfL29tZLL70kDw+PIq+BMAYAAJyWh4eH3njjDZUpU0ZxcXFGamCYEgAAwCB6xgAAgNNKT0/Xvn37VKpUKVWrVk2urq5FXgNhDAAAOK3k5GS1bdtWkhQVFSUfH58ir4FhSgAAAIMIYwAAAAYRxgAAAAwijAEAABhEGAMAADCIMAYAAGAQU1sAAACn5e7uruHDh6tEiRJyd3c3UgNhDAAAOC0PDw+NGDGC2yEBAAA4K3rGAACA08rIyNDRo0dVunRpVaxYUS4uRd9PRRgDAABOKykpSc2aNZPE7ZAAAACcEmEMAADAIMIYAACAQYQxAAAAgwhjAAAABhHGAAAADGJqCwAA4LTc3d01YMAAeXl5cTskAACAoubh4aHRo0dzOyQAAABnRc8YAABwWhkZGYqOjlZ8fLxKlizJ7ZAAAACKUlJSkurVqyeJ2yEBAAA4JcIYAACAQYQxAAAAgwhjAAAABhHGAAAADCKMAQAAGMTUFgAAwGm5ubmpd+/e8vT0lJubmVhEGAMAAE7L09NTY8eO5XZIAAAAzoqeMQAA4LSsVqtiYmKUlpYmV1dXWSyWIq+BnjEAAOC0EhMTFRQUpPLlyysxMdFIDYQxAAAAgwhjAAAABhHGAAAADCKMAQAAGEQYAwAAMIgwBgAAYBDzjAEAAKfl5uambt26ycPDg9shAQAAFDVPT099/vnn3A4JAADAWdEzBgAAnJbValViYqI8PDxktVq5HRIAAEBRSkxMVOXKleXr68vtkAAAAJwRYQwAAMAgwhgAAIBBhDEAAACDCGMAAAAGEcYAAAAMYp4xAADgtFxdXfXUU0/Jw8NDrq6uRmogjAEAAKfl5eWl2bNnczskAAAAZ0UYAwAAMIgwBgAAnFZCQoL8/f1lsViUkJBgpAbCGAAAgEGEMQAAAIMIYwAAAAYRxpAnS5YsUXBwsO2/wYMH57mt4OBg9ejRowCrc2w7duxQcHCwJk+eXCjtb9261e69caZjCwD3IuYZQ760adNGNWvWVI0aNUyXUixZrVZt2rRJ69ev1+7du/Xbb78pLS1NVapU0RNPPKFevXrJ09PT7jmVK1fWgAEDJEmfffaZibIBALlAGEO+tG3bVp06dTJdRrGVkpKi1157TR4eHmrcuLGaN2+ulJQUhYeHa/z48Vq7dq3mzZsnLy8v23MqV66sgQMHSiKMObpTp606d04KDJSqVbWYLgeAIYQxwIG5uLho8ODB6t69u0qVKmVbnpqaqoEDB2rDhg2aN2+eXn31VYNVOpa4K1bTJdyW1ZqhK/FWxV+16pNPpb37/lhXL8SqYUOl0qWcK5SV8XOu1wvH4+rqqnbt2snd3Z3bIaH4uX79umbPnq2ffvpJUVFRcnV1VeXKldWyZUv1799f7u7udtvHxsZq7Nix2rhxoxISEvTQQw9p6NChatKkid12Bw8e1JIlSxQREaHz588rNTVVVapUUYcOHdSrV68s7bZu3VqStHz5ck2cOFErV65UXFycqlWrpv79++tvf/ub3fYjRozQ0qVLtW7dOv3888+aN2+eoqOjVbZsWXXu3Fn9+vWTi0vW0y3Xrl2ruXPn6tChQ0pOTlaVKlXUsWNH9ezZM89/wd3d3dWnT59sl7/++uvasGGDdu7caSyMJSU5XvDp8Izj1fSHm7dacXGRfHyk0e9ZFFJH2ndAGvupVS/1lDIyHLn+grdm1d238fS0OuRnzZFxzOyVKHH70O/l5aWFCxcavR0SYQyFIjY2Vj169NCvv/6qmjVr6vnnn1dGRoZOnjyp6dOn65VXXrELTVevXlW3bt3k4+OjDh06KCYmRqtWrVLv3r21ZMkSBQUF2bb95ptvtGHDBjVq1EgtWrRQcnKyIiIi9Omnn+rAgQPZnhifmpqqV155RfHx8QoLC1NSUpJWrlypQYMGafr06WrevHmW54wZM0YRERFq1aqVmjVrpnXr1mny5MlKTU3NcsHCuHHjNG3aNFWsWFFhYWHy9fXVzp07NWbMGO3bt0+TJk0qwKN7k5vbzb++pn7JSVK7v/NlnxcZGdJbQy1q3fLmPxCtW0pWqzTqfec7njn7DMUWeh3FD8fsVuEbHbsHljCGQvH+++/r119/VZ8+fbIEl8uXL8vb29tu2ZEjR9S9e3eNHDnS1uvUtGlTvfvuu5o3b55Gjx5t2/b111/XqFGj7EKI1WrVO++8o8WLF2vXrl1q0KCBXfsXL15UnTp1NGfOHHl4eEiSOnTooJ49e2rWrFnZhrHIyEh9//33Kl++vCSpX79+evzxxzV37lz179/f1s6WLVs0bdo0tWjRQpMmTVKJEiVsNb333nv6+uuv9dNPP+nxxx/P07G8ncWLF0uSmjVrVqDtomiE1LH/c726ZuoAYB5hDAXu8uXL+umnn/SXv/zFdlXfrcqWLZtlmbe3t4YNG2Y3/NexY0e99957OnjwoN22gYGBWZ5vsVj0wgsvaPHixdq2bVuWMCZJb7/9ti1ASVJoaKgCAwOztJ+pX79+tiAmSf7+/mrTpo2WLl2qU6dOKTg4WJI0b948SdLo0aNtQSyzpmHDhmnhwoVasWJFgYaxTZs2aeHChXrwwQf17LPPFli7ubVmleP92rxXeuv2HbjZI5Zp735jpRiVk8+Qn18ZXbliZvjoXsUxy7mEhATb9/nRo0fl4+NT5DUQxlDgDh48KKvVqiZNmmQ5f+t2qlSpkuUvgJubmwICAnT16lW75SkpKfrqq6+0YsUKnTx5UomJibJa//gH+OLFi1naL1WqlCpXrpxleYUKFbR3795sa6pdu3a220vStWvXbMv27dsnb29vLVq0KNt2vLy8dPLkyWzX5cWBAwc0ePBglSxZUhMnTrQLmEXtTudhmPLDd6YruD2/0n66En9FI0dZNW6CVVbrzR6xvful8ROtqhciffC+4x3TwpSTz5C3t0U3bjjXcckvjlnuJCYmGt0/YQwFLjM8ZQaXnChZsmS2y93c3JSRkWG37I033tCGDRtUtWpVPfHEEwoICJCbm5uuXr2qOXPmKCUlJV/tZ/L19c12e0lKT0+3LYuPj1daWtodp5EoqL/ohw4dUu/evWWxWDR9+nTmd8uGI1+dV6aMiywWi/71vvT+v6x254g1aiiNetciPweuH0DhIIyhwGVOwXDhwoUCb3v//v3asGGDmjdvrv/+9792543t3btXc+bMKfB93k1maNuxY0eh7icyMlKvvPKK0tPTNXPmTNWty0lG9yo/P4vGf2JhnjEAkrgdEgrBww8/LBcXF+3YsUOpqakF2nZUVJQkqWXLllmuIvzll18KdF85VbduXV25ckWnT58utH1ERkaqV69eSk1N1fTp0xUSElJo+0LRqVbVoubNLAQxwMkRxlDgypYtq7CwMJ09ezbbobuYmBilpaXlqe1KlSpJknbt2mW3/Pjx4/rvf/+bpzbzK/Pej//7v/+b7Rw1ly5d0okTJ/Lc/q1B7IsvvtAjjzyS57YAAI6HYUoUilGjRun48eOaOnWqNm3apKZNm8pqter06dMKDw/X1q1b7WaUz6m6deuqbt26WrVqlS5duqSQkBCdP39e69ev12OPPaaffvqpEF7NnbVo0UL9+vXTlClTFBYWpkcffVSVKlXSlStXdObMGe3atUuDBg3Sgw8+mOu2r1y5ol69eik+Pl6PPvqotm7dqq1bt9ptU7JkSfXs2bOAXg0AoKgRxlAo/P399c0332jGjBn68ccfNW/ePHl6eur+++/Xa6+9ZjcFRG64urpq2rRp+uSTT7R582YdOHBAVapU0fDhw9WiRQsjYUyS3nzzTTVq1Ehz5szRtm3bdO3aNfn5+en+++/XgAED1KFDhzy1e/36dcXHx0uSNm/erM2bN2fZJjAwkDAGAHnk4uKiZs2ayc3NLdu7qxQFi/XWOQGAHFqyZInefvttffTRR9wo3IEFBwercePGmjt3brbr83PrD5O3DrlXcczyhuOWexyz3CuoY1amTJlcP4dzxpAvb7/9toKDg7PMsg9ztm7dquDgYNskhgAAx8YwJfKkZs2adrPrM9+V46hcubLde5PdHQsAAI6DYUrAiTFMWbQ4ZnnDccs9jlnOJSQkqF69erJYLNqzZ0++b4eUl2FKesYAAIBTi4mJMbp/zhkDAAAwiDAGAABgEGEMAADAIMIYAACAQYQxAAAAg7iaEgAAOC0XFxc98sgjcnV1NXY7JMIYAABwWiVKlNC6deuMzs3GMCUAAIBBhDEAAACDCGMAAMBpJSYmKiQkRFWrVlViYqKRGjhnDAAAOC2r1aqoqCjbYxPoGQMAADCIMAYAAGAQYQwAAMAgwhgAAIBBhDEAAACDuJoSAAA4LYvFouDgYLm6uspisRipgTAGAACclre3t7Zt28btkAAAAJwVYQwAAMAgwhgAAHBaiYmJCg0NVe3atbkdEgAAQFGzWq06evSo7bEJ9IwBAAAYRBgDAAAwiDAGAABgEGEMAADAIMIYAACAQVxNCQAAnJbFYlHlypXl4uLC7ZAAAACKmre3t/bt28ftkAAAAJwVYQwAAMAgwhgAAHBaSUlJatOmjRo1aqSkpCQjNXDOGAAAcFoZGRnas2eP7bEJ9IwBAAAYRBgDAAAwiDAGAABgEGEMAADAIMIYAACAQVxNCQAAnFpAQICxWyFJ9IwBAAAn5uPjo+PHj+vSpUvy8fExUgNhDAAAwCDCGAAAgEGEMQAA4LSSkpLUoUMHtWzZktshAQAAFLWMjAxt2bLF9tgEesYAAAAMIowBAAAYRBgDAAAwiDAGAABgEGEMAADAIK6mBAAATs3b29vo/ukZAwAATsvHx0fR0dFKSEjgdkgAAADOiDAGAABgEGEMAAA4reTkZHXt2lXt27dXcnKykRo4gR8AADit9PR0rVmzxvbYBHrGAAAADCKMAQAAGEQYAwAAMIgwBgAAYBBhDAAAwCDCGAAAgEEWq9VqNV0EAACAs6JnDAAAwCDCGAAAgEGEMQAAAIMIYwAAAAYRxgAAAAwijAEAABjkZroAAEVr//79mjx5svbu3avU1FRVr15dL7/8sjp06JDjNjIyMjR//nwtXLhQZ86ckbe3t5o0aaLBgweratWqhbZfU/Jb+y+//KK1a9cqIiJC586dU2JiogIDA9WmTRu9/vrrKlWqVJbntG7dWufOncu2va5du2r06NH5ek2FLb/HbMeOHXrppZduu37hwoWqV69ege/XpPzW3qNHD0VERNxxm48//ljPPPOM7c/38uds2bJl2rVrlw4ePKhjx44pNTVVH330kTp16pSrdhzh+4wwBjiRHTt2qHfv3nJ3d1f79u1VsmRJrV69WsOGDdO5c+fUp0+fHLUzatQoffPNN6pevbpefPFFxcTEaOXKldqyZYu+/vprVa9evVD2a0JB1P7mm28qLi5ODRo00NNPPy2LxaKIiAhNnz5dq1ev1tdff62AgIAszytZsqRefvnlLMsffvjhAnlthaUg3+/GjRurcePGWZZXrFixUPdb1Aqi9o4dO2Z7rNLS0jRt2jS5uLgoNDQ0y/p79XM2ceJEnTt3TmXKlFH58uVvGyrvxiG+z6wAnEJqaqq1bdu21ocfftgaGRlpW37t2jVr+/btrbVq1bKeOnXqru1s27bNGhQUZO3evbv1xo0btuVbt261BgcHW1944YVC2a8JBVX7tGnTrBcuXLBblpGRYR01apQ1KCjI+t5772V5TqtWraytWrXK92soagV1zLZv324NCgqyTpo0qUj3a0Jh1/7jjz9ag4KCrK+//nqWdffq58xqtVq3bNlijY6OtlqtN/+OBQUFWRcvXpyrNhzl+4xzxgAnsX37dp09e1ZPPvmkatWqZVvu6+urfv36KS0tTUuWLLlrO99++60kadCgQfLw8LAtDw0NVfPmzbVz506dOnWqwPdrQkHV/tprr6l8+fJ2yywWi/r16ydJ2rlzZ8EWbpCp95vP2e1l/p3t0qVLvmt1JH/9618VGBiYrzYc5fuMYUrASWSeS9K8efMs65o1a2a3zZ3s2LFD3t7eql+/fpZ1zZs31+bNm7Vz505Vq1atQPdrQmHX7uZ28yvY1dU12/UpKSlaunSpLly4oFKlSql+/fp66KGH8ry/olDQx+z06dOaM2eOkpOTValSJf31r3+Vv79/oe+3KBVm7b///ru2bNmicuXKqWXLltlucy9+zgqKo3yfEcYAJ3H69GlJUpUqVbKsK126tMqUKaMzZ87csY3ExERdunRJQUFB2QaIzJNdM/dVUPs1pbBrX7x4saQ/vsT/7NKlSxoxYoTdskcffVRjxozJNpA4goI+ZsuXL9fy5cttf/by8tLAgQP16quvFup+i1Jh1r548WJlZGSoY8eOtvD/Z/fi56wgONL3GcOUgJO4fv26pJsn62bH19dX165du2Mbmet9fX1v28at+yqo/ZpSmLUfPnxYn3/+uQICArIEC0nq1KmT5s6dq23btmnXrl365ptv1KJFC23evFn9+vWT1WrN034LW0EdM39/fw0fPlwrV67U3r17tWnTJo0dO1alS5fW2LFj9fXXXxfKfk0orNqtVqttyOx2Q5T36uesIDjS9xlhDACKWFRUlF5//XWlp6dr3Lhx2fY+DBgwQI0bN5a/v798fX0VEhKiadOmqUGDBtqzZ49+/vlnA5UXnRo1aqh379568MEHVaJECVWoUEFPPfWUpk+fLnd3d02ePFkZGRmmy3Ro27dvV3R0tBo3bpxtT47E58xREMYAJ5H5K+92v9quX79+2197mTLX3/pL8c9t3LqvgtqvKYVR+7lz5/Tyyy8rNjZWkyZNUtOmTXP8XBcXF9scSrt3787VfotKYb/fQUFBCgkJ0eXLl+2Gg/icZZXXE/fvhc9ZQXCk7zPCGOAkMs9/yO58hvj4eMXFxd3213Mmb29vlStXTtHR0UpPT8+yPvN8ilsnSiyI/ZpS0LVHR0erR48eunjxoiZMmKBWrVrluqYyZcpIkpKSknL93KJQFO935jFITk4u0v0WlsKoPT4+XmvWrFGpUqX0+OOP57omR/+cFQRH+j4jjAFOolGjRpKk8PDwLOu2bNkiSdlOGPlnjRs3VmJiYra/mDPbztxXQe7XhIKsPTo6Wi+99JIuXryo8ePHq23btnmqaf/+/ZKU70v6C0thv99paWk6dOiQLBaL7rvvviLbb2EqjNq///57paSkqEOHDvLy8sp1TY7+OSsojvJ9RhgDnERoaKgqV66s5cuX6/Dhw7bl169f15QpU+Tm5qaOHTvalsfGxurEiROKjY21a+e5556TJE2YMEEpKSm25du2bVN4eLgaNWpkuww8L/t1JAV1zDKD2IULFzRu3Di1a9fujvv99ddfdfXq1SzLf/nlF82aNUseHh4KCwvL56srHAV1zPbs2ZPl5PG0tDSNGTNG586dU/PmzeXn55fn/TqSgjpmt1q0aJGkOw9R3sufs9xy9O8zi7U4XyoBwM727dv16quvyt3dXU8++aR8fX21evVqRUdHa9CgQerbt69t28mTJ+uzzz7TgAEDNHDgQLt23n33XX377beqXr26HnvsMdvtQzw9PbO9fUhu9utoCuKYZd7/r169etnOTyTJbvvJkydr+vTpCg0NVWBgoDw8PHTs2DFt2bJFLi4uev/99/Xss88W3ovOp4I6ZpL0yCOPqEKFCrp27ZptAs5KlSpp3rx5WXptnP1zlungwYPq3LmzateufccJSO/1z9m3336rXbt2SZKOHTumyMhI1a9f3zZM2LZtW1sPtKN/nzHPGOBEmjZtqvnz52vSpElatWqV7Qa3b775pp566qkctzN69GgFBwdr4cKFmjt3rry9vdWqVSsNHjzY7ldkQe/XhIKoPfOeeXv37tXevXuz3ebWfyCaNGmiEydO6NChQ4qIiFBKSooCAgL0xBNPqGfPnqpbt26+X1dhKohj9vzzz2vz5s2KiIhQXFyc3Nzc9Je//EV9+vTRK6+8otKlSxfKfk0pyNpz0ism3fufs127dmnp0qV2y3bv3m0bcgwMDMzR6QCO8H1GzxgAAIBBnDMGAABgEGEMAADAIMIYAACAQYQxAAAAgwhjAAAABhHGAAAADCKMAQAAGEQYAwAAMIgwBgAAYBBhDAAAwCDCGAAAgEGEMQAAAIP+H98+pdUl8g8/AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = az.plot_forest(idata_without, var_names=[\"beta_channel\"], combined=True)[0]\n", "\n", "plot_true_value(true_beta_c1, \"channel 1\", ax=ax, split=0.4)\n", "plot_true_value(true_beta_c2, \"channel 2\", ax=ax, split=0.4);" ] }, { "cell_type": "markdown", "id": "49db6b5e-0a6d-469d-b8d2-72b96312eb72", "metadata": {}, "source": [ "And that the direct response curve created from these parameters are completely overlapping." ] }, { "cell_type": "code", "execution_count": 16, "id": "043353b5", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mmm.plot_direct_contribution_curves(same_axes=True);" ] }, { "cell_type": "markdown", "id": "13907300-7ebb-4942-aefb-dd953ab0861a", "metadata": {}, "source": [ "## Unobserved Saturation Curves\n", "\n", "These are the true saturation curve from our model internals. We don't observe them.\n", "\n", "There is a difference between channels. However, it is not possible to tell with just the MMM alone." ] }, { "cell_type": "code", "execution_count": 17, "id": "1972d1f8", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def saturation_function(x, lam, beta):\n", " return (beta * logistic_saturation(x, lam)).eval()\n", "\n", "\n", "step_size = 0.05\n", "xx = np.arange(0, spend.max() * 1.1, step_size)\n", "\n", "c1_curve_fn = partial(saturation_function, lam=true_lam_c1, beta=true_beta_c1)\n", "c2_curve_fn = partial(saturation_function, lam=true_lam_c2, beta=true_beta_c2)\n", "\n", "c1_curve = c1_curve_fn(xx)\n", "c2_curve = c2_curve_fn(xx)\n", "\n", "\n", "def plot_actual_curves(ax: plt.Axes, linestyle: str | None = None) -> plt.Axes:\n", " ax.plot(xx, c1_curve, label=\"channel 1\", color=\"C0\", linestyle=linestyle)\n", " ax.plot(xx, c2_curve, label=\"channel 2\", color=\"C1\", linestyle=linestyle)\n", "\n", " return ax\n", "\n", "\n", "def plot_reference(ax: plt.Axes) -> plt.Axes:\n", " ax.plot(xx, xx, label=\"y=x\", color=\"black\", linestyle=\"--\")\n", "\n", " return ax\n", "\n", "\n", "ax = plt.gca()\n", "plot_actual_curves(ax)\n", "plot_reference(ax)\n", "ax.set(\n", " xlabel=\"channel spend\",\n", " ylabel=\"channel contribution\",\n", " title=\"Actual Saturation Curves (Unobserved)\",\n", ")\n", "ax.legend();" ] }, { "cell_type": "markdown", "id": "632022b0", "metadata": {}, "source": [ "## About Lift Tests\n", "\n", "In a lift study, one temporarily changes the budget of a channel for a fixed period of time, and then uses some method (for example CausalPy) to make inference about the change in sales directly caused by the adjustment.\n", "\n", "A lift test is characterized by:\n", "\n", "- `channel`: the channel that was tested\n", "- `x`: pre-test channel spend\n", "- `delta_x`: change made to x\n", "- `delta_y`: inferred change in sales due to delta_x\n", "- `sigma`: standard deviation of delta_y\n", "\n", "An experiment characterized in this way can be viewed as two points on the saturation curve for the channel. Accordingly, lift test calibration is implemented by adding a term to the model likelihood, that makes the channel saturation curve (the contribution as a function of spend) align with the test observation." ] }, { "cell_type": "code", "execution_count": 18, "id": "6c15c788", "metadata": {}, "outputs": [], "source": [ "def create_lift_test_from_actual_curve(\n", " channel: str, x: float, delta_x: float, sigma: float\n", ") -> dict[str, float]:\n", " curve_fn = c1_curve_fn if channel == \"channel 1\" else c2_curve_fn\n", "\n", " delta_y = curve_fn(x + delta_x) - curve_fn(x)\n", "\n", " return {\n", " \"channel\": channel,\n", " \"x\": x,\n", " \"delta_x\": delta_x,\n", " \"delta_y\": delta_y,\n", " \"sigma\": sigma,\n", " }" ] }, { "cell_type": "code", "execution_count": 19, "id": "907a624d-c3b5-4b37-9812-d772a3e1c1bd", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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channelxdelta_xdelta_ysigma
0channel 10.000.050.1347050.05
1channel 10.150.050.0695450.05
2channel 10.300.050.0199250.05
3channel 20.500.050.0322360.10
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" ], "text/plain": [ " channel x delta_x delta_y sigma\n", "0 channel 1 0.00 0.05 0.134705 0.05\n", "1 channel 1 0.15 0.05 0.069545 0.05\n", "2 channel 1 0.30 0.05 0.019925 0.05\n", "3 channel 2 0.50 0.05 0.032236 0.10" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_lift_test = pd.DataFrame(\n", " [\n", " # Channel x1\n", " create_lift_test_from_actual_curve(\"channel 1\", 0.0, 0.05, 0.05),\n", " create_lift_test_from_actual_curve(\"channel 1\", 0.15, 0.05, 0.05),\n", " create_lift_test_from_actual_curve(\"channel 1\", 0.3, 0.05, 0.05),\n", " # Channel x2\n", " create_lift_test_from_actual_curve(\"channel 2\", 0.5, 0.05, 0.10),\n", " ]\n", ")\n", "\n", "df_lift_test" ] }, { "cell_type": "code", "execution_count": 20, "id": "255ae1ac-c005-4c71-8bfa-1e33bf3b0d4f", "metadata": { "tags": [ "hide-cell" ] }, "outputs": [], "source": [ "def plot_triangle(\n", " x,\n", " delta_x,\n", " delta_y,\n", " color: str,\n", " ax: plt.Axes,\n", " offset: float = 0,\n", " label: str | None = None,\n", ") -> plt.Axes:\n", " x_after = x + delta_x\n", "\n", " y = offset\n", " y_after = y + delta_y\n", "\n", " ax.plot([x, x_after], [y, y], color=color, label=label)\n", " ax.plot([x_after, x_after], [y, y_after], color=color)\n", " ax.plot([x, x_after], [y, y_after], color=color, linestyle=\"dashed\")\n", "\n", " return ax\n", "\n", "\n", "def plot_channel_triangles(\n", " df: pd.DataFrame, color: str, ax: plt.Axes, label: str\n", ") -> plt.Axes:\n", " kwargs = {\"label\": label}\n", " for _, row in df.iterrows():\n", " plot_triangle(\n", " row[\"x\"], row[\"delta_x\"], row[\"delta_y\"], ax=ax, color=color, **kwargs\n", " )\n", " if \"label\" in kwargs:\n", " kwargs.pop(\"label\")\n", " return ax\n", "\n", "\n", "def plot_lift_test_triangles(df: pd.DataFrame, ax: plt.Axes) -> plt.Axes:\n", " idx = df[\"channel\"] == \"channel 1\"\n", " plot_channel_triangles(df.loc[idx], color=\"C0\", ax=ax, label=\"channel 1\")\n", " plot_channel_triangles(df.loc[~idx], color=\"C1\", ax=ax, label=\"channel 2\")\n", " return ax" ] }, { "cell_type": "markdown", "id": "2e9a6838-fca4-4185-83de-f331f8f2d8e0", "metadata": {}, "source": [ "Below we are visualizing each lift test observation as a triangle. The base of the triangle shows the change in the spend and height of triangle is change in contribution. Each base is at y=0 since only the change in contribution is observed.\n", "\n", "Even though these are not the saturation curve, they can be used to better estimate the saturation curve. We can see that channel 2 is slower to saturation since the change in y is larger for higher x values." ] }, { "cell_type": "code", "execution_count": 21, "id": "53b8e360-4825-4728-ba43-62053985ac1c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.gca()\n", "plot_lift_test_triangles(df_lift_test, ax=ax)\n", "ax.legend()\n", "ax.set(\n", " xlim=(-0.01, 1.01),\n", " xlabel=\"x\",\n", " ylabel=\"change in channel contribution\",\n", " title=\"Lift tests show different diminishing returns\",\n", ");" ] }, { "cell_type": "markdown", "id": "c197fbc8-2271-4f98-acd7-8026f7d64cf7", "metadata": {}, "source": [ "## Add Lift Tests to Model\n", "\n", "Having created a `DelayedSaturatedMMM` model instance, `mmm` and built it using the `build_model` method or fit with `fit` method, we can add lift test results to the model using the `add_lift_test_measurments` method." ] }, { "cell_type": "code", "execution_count": 22, "id": "b68062b1", "metadata": {}, "outputs": [], "source": [ "mmm.add_lift_test_measurements(df_lift_test)" ] }, { "cell_type": "markdown", "id": "4473c7d9-89ce-4210-9ead-c98efd1a8c1f", "metadata": {}, "source": [ "We can see the model graph is modified with new observation for our lift measurements. \n", "\n", "The observation distribution is assumed to be `Gamma` as each saturation curve is monotonically increasing given a set of parameters." ] }, { "cell_type": "code", "execution_count": 23, "id": "32d58d4b", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "clusterdate (52) x channel (2)\n", "\n", "date (52) x channel (2)\n", "\n", "\n", "clusterdate (52)\n", "\n", "date (52)\n", "\n", "\n", "clusterchannel (2)\n", "\n", "channel (2)\n", "\n", "\n", "cluster4\n", "\n", "4\n", "\n", "\n", "\n", "channel_adstock_saturated\n", "\n", "channel_adstock_saturated\n", "~\n", "Deterministic\n", "\n", "\n", "\n", "channel_contributions\n", "\n", "channel_contributions\n", "~\n", "Deterministic\n", "\n", "\n", "\n", "channel_adstock_saturated->channel_contributions\n", "\n", "\n", "\n", "\n", "\n", "mu\n", "\n", "mu\n", "~\n", "Deterministic\n", "\n", "\n", "\n", "channel_contributions->mu\n", "\n", "\n", "\n", "\n", "\n", "channel_data\n", "\n", "channel_data\n", "~\n", "MutableData\n", "\n", "\n", "\n", "channel_adstock\n", "\n", "channel_adstock\n", "~\n", "Deterministic\n", "\n", "\n", "\n", "channel_data->channel_adstock\n", "\n", "\n", "\n", "\n", "\n", "channel_adstock->channel_adstock_saturated\n", "\n", "\n", "\n", "\n", "\n", "y\n", "\n", "y\n", "~\n", "Normal\n", "\n", "\n", "\n", "mu->y\n", "\n", "\n", "\n", "\n", "\n", "target\n", "\n", "target\n", "~\n", "MutableData\n", "\n", "\n", "\n", "y->target\n", "\n", "\n", "\n", "\n", "\n", "likelihood_sigma\n", "\n", "likelihood_sigma\n", "~\n", "HalfNormal\n", "\n", "\n", "\n", "likelihood_sigma->y\n", "\n", "\n", "\n", "\n", "\n", "intercept\n", "\n", "intercept\n", "~\n", "Normal\n", "\n", "\n", "\n", "intercept->mu\n", "\n", "\n", "\n", "\n", "\n", "lam\n", "\n", "lam\n", "~\n", "Gamma\n", "\n", "\n", "\n", "lam->channel_adstock_saturated\n", "\n", "\n", "\n", "\n", "\n", "lift_measurements\n", "\n", "lift_measurements\n", "~\n", "Gamma\n", "\n", "\n", "\n", "lam->lift_measurements\n", "\n", "\n", "\n", "\n", "\n", "alpha\n", "\n", "alpha\n", "~\n", "Beta\n", "\n", "\n", "\n", "alpha->channel_adstock\n", "\n", "\n", "\n", "\n", "\n", "beta_channel\n", "\n", "beta_channel\n", "~\n", "HalfNormal\n", "\n", "\n", "\n", "beta_channel->channel_contributions\n", "\n", "\n", "\n", "\n", "\n", "beta_channel->lift_measurements\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pm.model_to_graphviz(mmm.model)" ] }, { "cell_type": "markdown", "id": "52945ee4", "metadata": {}, "source": [ "We can refit the model but with the lift tests included" ] }, { "cell_type": "code", "execution_count": 24, "id": "611feff6", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Compiling...\n", "Compilation time = 0:00:05.530146\n", "Sampling...\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "b7ef9839af7a482fad8ace9229a42ed4", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/2000 [00:00 plt.Axes:\n", " for x in df[\"x\"].to_numpy():\n", " ax.axvline(x, ymin=0, ymax=height, color=color)\n", " return ax\n", "\n", "\n", "def plot_lift_test_rug(df, ax, height: float = 0.05) -> plt.Axes:\n", " idx = df[\"channel\"] == \"channel 1\"\n", " plot_channel_rug(df.loc[idx], color=\"C0\", ax=ax, height=height)\n", " plot_channel_rug(df.loc[~idx], color=\"C1\", ax=ax, height=height)\n", "\n", " return ax" ] }, { "cell_type": "code", "execution_count": 26, "id": "c528dd2f-55d0-4c4c-adb9-1491eaea4071", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = mmm.plot_direct_contribution_curves(same_axes=True)\n", "ax = fig.axes[0]\n", "plot_actual_curves(ax=ax, linestyle=\"dashed\")\n", "plot_lift_test_rug(df_lift_test, ax);" ] }, { "cell_type": "markdown", "id": "2af2d1b7", "metadata": {}, "source": [ "This can be seen in the parameter estimates that make up this response curve" ] }, { "cell_type": "code", "execution_count": 27, "id": "f13f446a", "metadata": { "tags": [ "hide-cell" ] }, "outputs": [], "source": [ "def plot_comparison(data, model_names, var_name: str) -> plt.Axes:\n", " return az.plot_forest(\n", " data,\n", " model_names=model_names,\n", " var_names=[var_name],\n", " combined=True,\n", " )[0]" ] }, { "cell_type": "code", "execution_count": 28, "id": "0cd102a9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = [idata_without, idata_with]\n", "model_names = [\"without lift tests\", \"with lift tests\"]\n", "\n", "ax = plot_comparison(data, model_names, \"lam\")\n", "plot_true_value(true_lam_c1, \"channel 1\", ax)\n", "plot_true_value(true_lam_c2, \"channel 2\", ax);" ] }, { "cell_type": "code", "execution_count": 29, "id": "eaf4473a", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_comparison(data, model_names, \"beta_channel\")\n", "plot_true_value(true_beta_c1, \"channel 1\", ax)\n", "plot_true_value(true_beta_c2, \"channel 2\", ax);" ] }, { "cell_type": "markdown", "id": "dc99ff28", "metadata": {}, "source": [ "## Add Additional Lift Tests\n", "\n", "We can add even more lift tests.\n", "\n", "They can either all be added at one time or separately. Use the `name` parameter in order to separate the two sets of observations in the model graph." ] }, { "cell_type": "code", "execution_count": 30, "id": "dfb30705-46ec-4419-aeff-a430b3ae2d62", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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channelxdelta_xdelta_ysigma
0channel 10.10.050.0951670.01
1channel 10.50.050.0028850.01
2channel 20.30.050.0353540.01
\n", "
" ], "text/plain": [ " channel x delta_x delta_y sigma\n", "0 channel 1 0.1 0.05 0.095167 0.01\n", "1 channel 1 0.5 0.05 0.002885 0.01\n", "2 channel 2 0.3 0.05 0.035354 0.01" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_additional_lift_test = pd.DataFrame(\n", " [\n", " # More for Channel x1\n", " create_lift_test_from_actual_curve(\"channel 1\", 0.1, 0.05, sigma=0.01),\n", " create_lift_test_from_actual_curve(\"channel 1\", 0.5, 0.05, sigma=0.01),\n", " # More for channel x2\n", " create_lift_test_from_actual_curve(\"channel 2\", 0.3, 0.05, sigma=0.01),\n", " ]\n", ")\n", "\n", "df_additional_lift_test" ] }, { "cell_type": "code", "execution_count": 31, "id": "a88687fd", "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "clusterdate (52) x channel (2)\n", "\n", "date (52) x channel (2)\n", "\n", "\n", "clusterdate (52)\n", "\n", "date (52)\n", "\n", "\n", "clusterchannel (2)\n", "\n", "channel (2)\n", "\n", "\n", "cluster4\n", "\n", "4\n", "\n", "\n", "cluster3\n", "\n", "3\n", "\n", "\n", "\n", "channel_adstock_saturated\n", "\n", "channel_adstock_saturated\n", "~\n", "Deterministic\n", "\n", "\n", "\n", "channel_contributions\n", "\n", "channel_contributions\n", "~\n", "Deterministic\n", "\n", "\n", "\n", "channel_adstock_saturated->channel_contributions\n", "\n", "\n", "\n", "\n", "\n", "mu\n", "\n", "mu\n", "~\n", "Deterministic\n", "\n", "\n", "\n", "channel_contributions->mu\n", "\n", "\n", "\n", "\n", "\n", "channel_data\n", "\n", "channel_data\n", "~\n", "MutableData\n", "\n", "\n", "\n", "channel_adstock\n", "\n", "channel_adstock\n", "~\n", "Deterministic\n", "\n", "\n", "\n", "channel_data->channel_adstock\n", "\n", "\n", "\n", "\n", "\n", "channel_adstock->channel_adstock_saturated\n", "\n", "\n", "\n", "\n", "\n", "y\n", "\n", "y\n", "~\n", "Normal\n", "\n", "\n", "\n", "mu->y\n", "\n", "\n", "\n", "\n", "\n", "target\n", "\n", "target\n", "~\n", "MutableData\n", "\n", "\n", "\n", "y->target\n", "\n", "\n", "\n", "\n", "\n", "likelihood_sigma\n", "\n", "likelihood_sigma\n", "~\n", "HalfNormal\n", "\n", "\n", "\n", "likelihood_sigma->y\n", "\n", "\n", "\n", "\n", "\n", "intercept\n", "\n", "intercept\n", "~\n", "Normal\n", "\n", "\n", "\n", "intercept->mu\n", "\n", "\n", "\n", "\n", "\n", "lam\n", "\n", "lam\n", "~\n", "Gamma\n", "\n", "\n", "\n", "lam->channel_adstock_saturated\n", "\n", "\n", "\n", "\n", "\n", "lift_measurements\n", "\n", "lift_measurements\n", "~\n", "Gamma\n", "\n", "\n", "\n", "lam->lift_measurements\n", "\n", "\n", "\n", "\n", "\n", "more_lift_measurements\n", "\n", "more_lift_measurements\n", "~\n", "Gamma\n", "\n", "\n", "\n", "lam->more_lift_measurements\n", "\n", "\n", "\n", "\n", "\n", "alpha\n", "\n", "alpha\n", "~\n", "Beta\n", "\n", "\n", "\n", "alpha->channel_adstock\n", "\n", "\n", "\n", "\n", "\n", "beta_channel\n", "\n", "beta_channel\n", "~\n", "HalfNormal\n", "\n", "\n", "\n", "beta_channel->channel_contributions\n", "\n", "\n", "\n", "\n", "\n", "beta_channel->lift_measurements\n", "\n", "\n", "\n", "\n", "\n", "beta_channel->more_lift_measurements\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mmm.add_lift_test_measurements(df_additional_lift_test, name=\"more_lift_measurements\")\n", "\n", "pm.model_to_graphviz(mmm.model)" ] }, { "cell_type": "code", "execution_count": 32, "id": "06c2eb0f", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Compiling...\n", "Compilation time = 0:00:06.384169\n", "Sampling...\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "7bfde36f77b74946bc4ac91830bddb46", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/2000 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_all_lift_tests = pd.concat([df_lift_test, df_additional_lift_test])\n", "\n", "fig = mmm.plot_direct_contribution_curves(same_axes=True)\n", "ax = fig.axes[0]\n", "plot_actual_curves(ax=ax, linestyle=\"dashed\")\n", "plot_lift_test_rug(df_all_lift_tests, ax);" ] }, { "cell_type": "code", "execution_count": 34, "id": "1de3aabe", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = [idata_without, idata_with, idata_with_more]\n", "model_names = [\"without lift tests\", \"with lift tests\", \"with more lift tests\"]\n", "\n", "ax = plot_comparison(data, model_names, \"lam\")\n", "plot_true_value(true_lam_c1, \"channel 1\", ax, split=0.435)\n", "plot_true_value(true_lam_c2, \"channel 2\", ax, split=0.435);" ] }, { "cell_type": "code", "execution_count": 35, "id": "7b66cb92", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_comparison(data, model_names, \"beta_channel\")\n", "plot_true_value(true_beta_c1, \"channel 1\", ax, split=0.435)\n", "plot_true_value(true_beta_c2, \"channel 2\", ax, split=0.435);" ] }, { "cell_type": "markdown", "id": "3689ba42-ec1a-4154-be91-274cd5ef0237", "metadata": {}, "source": [ "## Conclusion\n", "\n", "The `add_lift_test_measurements` method can be used in order to incorporate experiments into our model likelihood and nudge the model parameters closer to the actuals in this example.\n", "\n", "Conducting various experiments for each channel at various spends will bring the best results." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 5 }