part3_AB_tests.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A/B tests (3 / 3 part)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from config import connection\n",
    "from scipy.stats import ttest_ind\n",
    "from scipy.stats import mannwhitneyu\n",
    "from ab_functions import run_ab_test_ctr\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import pandahouse as ph\n",
    "import seaborn as sns\n",
    "sns.set(rc={'figure.figsize':(6, 18)})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.1 Get the data, when the experiment was lasting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>user_id</th>\n",
       "      <th>exp_group</th>\n",
       "      <th>likes</th>\n",
       "      <th>views</th>\n",
       "      <th>ctr</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>115383</td>\n",
       "      <td>3</td>\n",
       "      <td>9</td>\n",
       "      <td>30</td>\n",
       "      <td>0.300000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>123580</td>\n",
       "      <td>3</td>\n",
       "      <td>13</td>\n",
       "      <td>48</td>\n",
       "      <td>0.270833</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>131473</td>\n",
       "      <td>2</td>\n",
       "      <td>14</td>\n",
       "      <td>134</td>\n",
       "      <td>0.104478</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>23985</td>\n",
       "      <td>2</td>\n",
       "      <td>7</td>\n",
       "      <td>87</td>\n",
       "      <td>0.080460</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>24523</td>\n",
       "      <td>2</td>\n",
       "      <td>11</td>\n",
       "      <td>101</td>\n",
       "      <td>0.108911</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   user_id  exp_group  likes  views       ctr\n",
       "0   115383          3      9     30  0.300000\n",
       "1   123580          3     13     48  0.270833\n",
       "2   131473          2     14    134  0.104478\n",
       "3    23985          2      7     87  0.080460\n",
       "4    24523          2     11    101  0.108911"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get data for the time the experiment lasted with the same groups (2 and 3)\n",
    "first_date = \"2022-07-13\"\n",
    "last_date = \"2022-07-19\"\n",
    "exp_groups = [2, 3]\n",
    "\n",
    "metric = f\"\"\"\n",
    "    SELECT\n",
    "        user_id,\n",
    "        exp_group,\n",
    "        countIf(action='like') as likes,\n",
    "        countIf(action='view') as views,\n",
    "        likes / views as ctr\n",
    "    FROM\n",
    "        simulator_20220820.feed_actions\n",
    "    WHERE\n",
    "        toDate(time) between '{first_date}' and '{last_date}' AND\n",
    "        exp_group IN {exp_groups}\n",
    "    GROUP BY\n",
    "        user_id, exp_group\n",
    "\"\"\"\n",
    "experiment_data = ph.read_clickhouse(metric, connection=connection)\n",
    "experiment_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "bucket_metric = f\"\"\"\n",
    "        SELECT \n",
    "            exp_group, \n",
    "            bucket,\n",
    "            sum(likes)/sum(views) as bucket_ctr,\n",
    "            quantileExact(0.9)(ctr) as ctr9\n",
    "        FROM(\n",
    "                SELECT exp_group, \n",
    "                    xxHash64(user_id)%50 as bucket,\n",
    "                    user_id,\n",
    "                    sum(action = 'like') as likes,\n",
    "                    sum(action = 'view') as views,\n",
    "                    likes/views as ctr\n",
    "                FROM \n",
    "                    simulator_20220820.feed_actions \n",
    "                WHERE \n",
    "                    toDate(time) between '{first_date}' and '{last_date}' AND\n",
    "                    exp_group IN {exp_groups}\n",
    "                GROUP BY \n",
    "                    exp_group, bucket, user_id\n",
    "            )\n",
    "        GROUP BY \n",
    "            exp_group, bucket\n",
    "        \"\"\"\n",
    "        \n",
    "bucket_exp_data = ph.read_clickhouse(bucket_metric, connection=connection)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.2 Check distribution data during experiment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[INFO] Run standard tests: T-test & Mann Whitneyu\n",
      "[INFO] Complete\n",
      "[INFO] Run standard tests on Smoothed CTR metric:\n",
      "[INFO] Complete\n",
      "[INFO] Run tests with many views:\n",
      "[INFO] Complete\n",
      "[INFO] Run tests on bootstraped CTR metric:\n",
      "[INFO] Complete\n",
      "[INFO] Run tests with bucket split:\n",
      "[INFO] Complete\n",
      "[INFO] Run tests with bucket quantile split:\n",
      "[INFO] Complete\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x1800 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>T-test P value</th>\n",
       "      <th>Mann Whitneyu P value</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Standard tests</th>\n",
       "      <td>3.303996e-27</td>\n",
       "      <td>1.403385e-106</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Smoothed CTR tests</th>\n",
       "      <td>1.320679e-33</td>\n",
       "      <td>1.083360e-130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>CTR with many views tests</th>\n",
       "      <td>2.324678e-49</td>\n",
       "      <td>2.834391e-124</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bootstrap</th>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bucket CTR</th>\n",
       "      <td>4.089170e-23</td>\n",
       "      <td>5.037909e-16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bucket Quantile CTR</th>\n",
       "      <td>9.428416e-31</td>\n",
       "      <td>7.329733e-18</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                           T-test P value  Mann Whitneyu P value\n",
       "Standard tests               3.303996e-27          1.403385e-106\n",
       "Smoothed CTR tests           1.320679e-33          1.083360e-130\n",
       "CTR with many views tests    2.324678e-49          2.834391e-124\n",
       "Bootstrap                    0.000000e+00           0.000000e+00\n",
       "Bucket CTR                   4.089170e-23           5.037909e-16\n",
       "Bucket Quantile CTR          9.428416e-31           7.329733e-18"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "run_ab_test_ctr(data=experiment_data, \n",
    "                first_group=2,\n",
    "                second_group=3, \n",
    "                bucket_data=bucket_exp_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.3 Check additional method (linearized CTR metric)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from linearized_method import test_compare\n",
    "sns.set(rc={'figure.figsize':(6, 4)})\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Simple T-test</th>\n",
       "      <th>Linearized T-test</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Comparing</th>\n",
       "      <td>3.303996e-27</td>\n",
       "      <td>1.709413e-59</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           Simple T-test  Linearized T-test\n",
       "Comparing   3.303996e-27       1.709413e-59"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_compare(experiment_data, 2, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3.8.13 ('analyst')",
   "language": "python",
   "name": "python3"
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