rebalance.png

upload.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 食べログ3.8問題に終止符を打つ"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "「評価3.8以上は年会費を払わなければ3.6に下げられる」という問題が最近バズっていますが、  \n",
    "\n",
    "* 食べログのスコアがどのように決まっているのか\n",
    "* 食べログは年会費を払わないとスコアを下げているのか\n",
    "\n",
    "の2点が混同されているなぁと感じました。  \n",
    "そこで、因果推論の手法を用いて  \n",
    "\n",
    "* 年会費を払う=有料会員になることは、お店のスコアをどれくらいあげるのか\n",
    "\n",
    "を明らかにします。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "参考(本家): https://clean-copy-of-onenote.hatenablog.com/entry/tabelog38_problem  \n",
    "参考(nardtreeさんのEDA): https://gist.github.com/GINK03/8826e84c2c7b8ccb4c26158f17d2eb4c  \n",
    "参考(考察): https://news.yahoo.co.jp/byline/inoueakito/20191012-00146614/"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "食べログは有料会員の中でもランクがあったり、非会員と無料会員などがありますが、説明の簡便性のため有料会員/無料会員に2分します"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# スクレイピング周り"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "東京都のお店をエリア別に計15476店舗取得しました。  \n",
    "コードは一番下に載せてあります。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# データの読み込みと前処理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 178,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import json\n",
    "import glob\n",
    "import math\n",
    "from pathlib import Path\n",
    "from collections import Counter\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.metrics import accuracy_score\n",
    "from sklearn.metrics import confusion_matrix\n",
    "from sklearn.metrics import roc_auc_score\n",
    "from sklearn.model_selection import StratifiedKFold\n",
    "import lightgbm\n",
    "import japanize_matplotlib\n",
    "from scipy import stats\n",
    "\n",
    "sns.set_style('darkgrid')\n",
    "pd.set_option('display.max_columns', None)\n",
    "pd.set_option('display.max_rows', 500)\n",
    "plt.rcParams['font.family'] = 'IPAexGothic'\n",
    "\n",
    "%matplotlib inline\n",
    "%config InlineBackend.figure_formats = {'png', 'retina'}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [],
   "source": [
    "def force_to_int(x):\n",
    "    try:\n",
    "        return int(x)\n",
    "    except:\n",
    "        return -1\n",
    "objs = []\n",
    "for fn in glob.glob('../input/*'):\n",
    "    try:\n",
    "        arr = json.loads(open(fn).read())\n",
    "    except Exception as exc:\n",
    "        print(exc)\n",
    "        continue\n",
    "    for obj in arr:\n",
    "        objs.append(obj)\n",
    "\n",
    "df = pd.DataFrame(objs)\n",
    "df.drop_duplicates(subset=['mise'], keep='last', inplace=True)\n",
    "df['score'] = df.score.apply(float)\n",
    "df['save_num'] = df.save_num.apply(force_to_int)\n",
    "df['review_num'] = df.review_num.apply(force_to_int)\n",
    "df['idv_score'] = df.idv_score.apply(lambda x: [float(i) for i in x if i != '-'])\n",
    "tmp = df.drop(['comments', 'idv_score', 'genres'], axis=1)\n",
    "# レビュー毎のスコアが3.5を超えたか,3.0を下回ったかを特徴量に加える\n",
    "tmp['idv_over35'] = df['idv_score'].apply(lambda x: sum([1 for i in x if i >= 3.5])/len(x) if len(x)>=1 else 0)\n",
    "tmp['idv_under30'] = df['idv_score'].apply(lambda x: sum([1 for i in x if i < 3.0])/len(x) if len(x) >= 1 else 0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 基礎統計量の確認"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## データ数など"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(15476, 12)"
      ]
     },
     "execution_count": 118,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tmp.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "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>mise</th>\n",
       "      <th>is_paid</th>\n",
       "      <th>genre</th>\n",
       "      <th>lunch</th>\n",
       "      <th>dinner</th>\n",
       "      <th>save_num</th>\n",
       "      <th>score</th>\n",
       "      <th>page</th>\n",
       "      <th>chi</th>\n",
       "      <th>review_num</th>\n",
       "      <th>idv_over35</th>\n",
       "      <th>idv_under30</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>0</td>\n",
       "      <td>和の台所　ぼっちり</td>\n",
       "      <td>0</td>\n",
       "      <td>居酒屋</td>\n",
       "      <td>-</td>\n",
       "      <td>￥4,000～￥4,999</td>\n",
       "      <td>197</td>\n",
       "      <td>3.24</td>\n",
       "      <td>26</td>\n",
       "      <td>21</td>\n",
       "      <td>8</td>\n",
       "      <td>0.875</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>柳川家</td>\n",
       "      <td>0</td>\n",
       "      <td>そば</td>\n",
       "      <td>～￥999</td>\n",
       "      <td>-</td>\n",
       "      <td>77</td>\n",
       "      <td>3.14</td>\n",
       "      <td>26</td>\n",
       "      <td>21</td>\n",
       "      <td>5</td>\n",
       "      <td>0.600</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2</td>\n",
       "      <td>やきとり大吉 江古田店</td>\n",
       "      <td>0</td>\n",
       "      <td>焼鳥</td>\n",
       "      <td>-</td>\n",
       "      <td>￥2,000～￥2,999</td>\n",
       "      <td>34</td>\n",
       "      <td>3.04</td>\n",
       "      <td>26</td>\n",
       "      <td>21</td>\n",
       "      <td>4</td>\n",
       "      <td>0.400</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          mise  is_paid genre  lunch         dinner  save_num  score  page  \\\n",
       "0    和の台所　ぼっちり        0   居酒屋      -  ￥4,000～￥4,999       197   3.24    26   \n",
       "1          柳川家        0    そば  ～￥999              -        77   3.14    26   \n",
       "2  やきとり大吉 江古田店        0    焼鳥      -  ￥2,000～￥2,999        34   3.04    26   \n",
       "\n",
       "   chi  review_num  idv_over35  idv_under30  \n",
       "0   21           8       0.875          0.0  \n",
       "1   21           5       0.600          0.0  \n",
       "2   21           4       0.400          0.0  "
      ]
     },
     "execution_count": 119,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tmp.head(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## スコアの分布"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "全ての店のスコアの分布を確認します。  \n",
    "今までの方々の調査では、一定以上レビューが集まった店の分布において3.6や3.8の手前に山がありました。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "まず全てのお店のスコアの分布を確認します。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1152x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 496,
       "width": 947
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 全てのお店のスコア\n",
    "fig, axes = plt.subplots(nrows=2, figsize=(16,8))\n",
    "sns.distplot(tmp['score'], kde=False, bins=np.arange(3, 4.5, 0.02), ax=axes[0])\n",
    "sns.distplot(tmp['score'], kde=False, bins=np.arange(3, 4.5, 0.02), ax=axes[1])\n",
    "axes[1].set_ylim(0, 600)\n",
    "axes[0].set_title('score hist')\n",
    "axes[1].set_title('score hist set_ylim(0, 600)')\n",
    "axes[0].set_xticks(np.arange(3, 5, 0.1))\n",
    "axes[1].set_xticks(np.arange(3, 5, 0.1))\n",
    "axes[0].set_title('全てのお店のスコアの分布(0.02刻み)')\n",
    "axes[1].set_title('全てのお店のスコアの分布(0.02刻み, 高さの上限を600店舗に設定)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "次に、一定以上の評価数に絞ります。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "nardtreeさんの分析を参考に、レビュー数が30以上、60以上、90以上でデータを絞ります。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "また、OsciiArtさんを参考に、A以上B未満でbinningするのではなく、Aより大きくB以下でbinningします。  \n",
    "これにより、scoreの上限が3.6や3.8に設定されているのかを明らかにします。  \n",
    "\n",
    "参考: https://gist.github.com/GINK03/8826e84c2c7b8ccb4c26158f17d2eb4c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [],
   "source": [
    "size30 = tmp.query('review_num>=30').shape[0]\n",
    "size60 = tmp.query('review_num>=60').shape[0]\n",
    "size90 = tmp.query('review_num>=90').shape[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x864 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 699,
       "width": 933
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=3, figsize=(16,12))\n",
    "sns.distplot(tmp.query('review_num>=30')['score'].values+0.00001, kde=False, bins=np.arange(3, 4.5, 0.02), ax=axes[0])\n",
    "sns.distplot(tmp.query('review_num>=60')['score'].values+0.00001, kde=False, bins=np.arange(3, 4.5, 0.02), ax=axes[1])\n",
    "sns.distplot(tmp.query('review_num>=90')['score'].values+0.00001, kde=False, bins=np.arange(3, 4.5, 0.02), ax=axes[2])\n",
    "axes[0].set_title(f'score hist review_num >= 30, size: {size30}')\n",
    "axes[1].set_title(f'score hist review_num >= 60, size: {size60}')\n",
    "axes[2].set_title(f'score hist review_num >= 90, size: {size90}')\n",
    "axes[0].set_xlim(3,5)\n",
    "axes[1].set_xlim(3,5)\n",
    "axes[2].set_xlim(3,5)\n",
    "axes[0].set_xticks(np.arange(3, 5, 0.1))\n",
    "axes[1].set_xticks(np.arange(3, 5, 0.1))\n",
    "axes[2].set_xticks(np.arange(3, 5, 0.1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "スコアを0.02刻みでプロットしました。  \n",
    "今までの議論にあったように、3.6, 3.8の前に壁があります。  \n",
    "それだけでなく、[3.68, 3.70)が少なく[3.70, 3.72)が多いなどの偏りが見られます。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## その他の基礎統計量"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "せっかくなので、スコア以外にも色々データを眺めてみましょう。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 主要店ジャンル"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "居酒屋        2860\n",
       "イタリアン       806\n",
       "焼肉          721\n",
       "カフェ         627\n",
       "中華料理        610\n",
       "その他         520\n",
       "焼鳥          483\n",
       "ラーメン        450\n",
       "ダイニングバー     428\n",
       "寿司          419\n",
       "Name: genre, dtype: int64"
      ]
     },
     "execution_count": 123,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tmp['genre'].value_counts().head(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 主要店ジャンル別有料会員/無料会員別店舗数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "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></th>\n",
       "      <th>mise</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>genre</th>\n",
       "      <th>is_paid</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td rowspan=\"2\" valign=\"top\">イタリアン</td>\n",
       "      <td>0</td>\n",
       "      <td>156</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>650</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"2\" valign=\"top\">カフェ</td>\n",
       "      <td>0</td>\n",
       "      <td>448</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>179</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"2\" valign=\"top\">ダイニングバー</td>\n",
       "      <td>0</td>\n",
       "      <td>114</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>314</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"2\" valign=\"top\">ラーメン</td>\n",
       "      <td>0</td>\n",
       "      <td>370</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>80</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"2\" valign=\"top\">中華料理</td>\n",
       "      <td>0</td>\n",
       "      <td>322</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>288</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"2\" valign=\"top\">寿司</td>\n",
       "      <td>0</td>\n",
       "      <td>239</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>180</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"2\" valign=\"top\">居酒屋</td>\n",
       "      <td>0</td>\n",
       "      <td>784</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>2076</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"2\" valign=\"top\">焼肉</td>\n",
       "      <td>0</td>\n",
       "      <td>149</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>572</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td rowspan=\"2\" valign=\"top\">焼鳥</td>\n",
       "      <td>0</td>\n",
       "      <td>205</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>278</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 mise\n",
       "genre   is_paid      \n",
       "イタリアン   0         156\n",
       "        1         650\n",
       "カフェ     0         448\n",
       "        1         179\n",
       "ダイニングバー 0         114\n",
       "        1         314\n",
       "ラーメン    0         370\n",
       "        1          80\n",
       "中華料理    0         322\n",
       "        1         288\n",
       "寿司      0         239\n",
       "        1         180\n",
       "居酒屋     0         784\n",
       "        1        2076\n",
       "焼肉      0         149\n",
       "        1         572\n",
       "焼鳥      0         205\n",
       "        1         278"
      ]
     },
     "execution_count": 124,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "major_genres = set(tmp['genre'].value_counts().head(10).index) - {'その他'}\n",
    "tmp[tmp['genre'].isin(major_genres)].groupby(['genre', 'is_paid'])[['mise']].count()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "イタリアンや居酒屋、ダイニングバー焼肉は有料店舗が無料店舗の2倍以上あります。    \n",
    "中華料理、寿司、焼き鳥は同じくらいです。  \n",
    "カフェとラーメンは無料店舗の方が多いです。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 有料会員/無料会員数で分けたスコア分布"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 387,
       "width": 953
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(16,6))\n",
    "sns.distplot(tmp.query('is_paid==1')['score'], kde=False, bins=np.arange(3, 5, 0.02), label='is_paid=1', ax=ax)\n",
    "sns.distplot(tmp.query('is_paid==0')['score'], kde=False, bins=np.arange(3, 5, 0.02), label='is_paid=0', ax=ax)\n",
    "ax.set_title('有料会員/無料会員別スコアの分布(is_paid=1:有料会員, is_paid=0:無料会員)')\n",
    "ax.set_xticks(np.arange(3, 5, 0.1))\n",
    "ax.set_xlabel('スコア')\n",
    "ax.set_ylabel('店舗数')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "点数別で有料会員の割合を計算してみます  \n",
    "0.05刻みで、有料会員店舗が100店舗以上あった(3.75,3.8]までをプロットします"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1152x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 278,
       "width": 949
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "s1 = pd.cut(tmp.query('is_paid==1')['score'], bins=np.arange(3, 3.8, 0.05)).value_counts().sort_index()\n",
    "s = pd.cut(tmp['score'], bins=np.arange(3, 3.8, 0.05)).value_counts().sort_index()\n",
    "fig, ax = plt.subplots(figsize=(16, 4))\n",
    "sns.lineplot(x=np.arange(3, 3.75, 0.05), y=s1/s, ax=ax)\n",
    "ax.set_title('スコア別で有料会員が全体に占める割合の分布((3.0, 3.05]から(3.65, 3.7]まで0.05刻み)')\n",
    "ax.set_ylabel('有料会員の割合')\n",
    "ax.set_xlabel('スコア')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "店全体にしめる有料会員の割合はスコアが上がるほど高まりますが、(3.55, 3.6]を境に逆に下がっていることがわかります。    \n",
    "有料会員になると露出が増えてレビューが集まりやすくなるので、点数が初期値から真の値に近づきやすくなるのかもしれません。  \n",
    "3.6を超えるには露出を増やすだけでない何か別の要因が必要そうです。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 本題: 有料会員になると、お店のスコアはどれくらい上がるのか"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "食べログ3.8問題でみんなが気になっているのは「食べログは店のスコアを有料会員かどうかで操作しているのか」です。  \n",
    "なので、お店が有料会員である事によるスコアの上昇、因果効果がどれくらいあるのかを調べます。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 因果効果調査対象のデータ選別"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "食べログは初期スコア(3.04あたり)からスタートし、レビューが集まるとより真のスコアに近づいていきます。  \n",
    "スコアが安定しているであろう、レビューが30件以上集まっている店に絞ります。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [],
   "source": [
    "tmp2 = tmp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [],
   "source": [
    "tmp = tmp2.query('review_num>30')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [],
   "source": [
    "cov_cols = ['genre', 'lunch', 'dinner', 'save_num', 'review_num', 'idv_over35', 'idv_under30']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "出現数が少ないカテゴリ変数の処理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [],
   "source": [
    "over_10000 = ['￥10,000～￥14,999', '￥15,000～￥19,999', '￥20,000～￥29,999',\n",
    "              '￥30,000～￥39,999', '￥40,000～￥49,999', '￥50,000～￥59,999']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [],
   "source": [
    "tmp.loc[tmp['lunch'].isin(over_10000), 'lunch'] = '¥10,000~'\n",
    "tmp.loc[tmp['dinner'].isin(over_10000), 'dinner'] = '¥10,000~'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [],
   "source": [
    "minor_genres = list(pd.DataFrame(tmp['genre'].value_counts()).query('genre < 50').index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [],
   "source": [
    "tmp.loc[tmp['genre'].isin(minor_genres), 'genre'] = 'その他'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 因果効果の定義"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "お店が有料会員になることによって、スコアがどう変化するのかを推定します。  \n",
    "あるお店が有料会員であるときのスコアを$y_1$, そうでない場合のスコアを$y_0$とすると、有料会員になる事によるスコアの変化量は以下のように表せます。  \n",
    "$\n",
    "E[y_1 - y_0] = E[y_1] - E[y_0]\n",
    "$\n",
    "\n",
    "これを、因果効果と呼びます。  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "実際には、あるお店$i$に対してそのお店が有料会員だった時のスコア$y_{1,i}$と無料会員だった時のスコア$y_{0,i}$両方を観測することは出来ません。  \n",
    "ある有料お店のスコア$y_{1,i}$を観測した後に、もしもボックスで因果を捻じ曲げてそのお店が無料会員だったことにして、タイムマシンで観測時点に戻れば$y_{0,i}$を観測出来ます。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 手法１: そのまま比較"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "まずはざっくり有料店舗会員と無料店舗会員でスコアに差があるのかを調べてみます"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "お店$i$が有料会員なら$z_i = 1$, 無料会員なら$z_i = 0$とすると、そのまま比較した式は以下のようになります。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "E[z y_1 - (1 - z) y_0] = E[y | z=1] - E[y | z=0]\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "有料会員になるか無料会員かが完全にランダムな場合、この推定量は因果効果$E[y_1 - y_0]$と一致します。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 713,
       "width": 1125
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(18, 12))\n",
    "sns.barplot(x='is_paid', y='score', data=tmp, capsize=.2, ax=axes[0,0])\n",
    "sns.barplot(x='score', y='genre', hue='is_paid', capsize=.2, data=tmp[tmp['genre'].isin(major_genres)], ax=axes[0,1])\n",
    "sns.barplot(x='score', y='dinner', hue='is_paid', capsize=.2, data=tmp, ax=axes[1,0])\n",
    "sns.barplot(x='score', y='lunch', hue='is_paid', capsize=.2, data=tmp, ax=axes[1,1])\n",
    "axes[0,1].legend(loc='lower left')\n",
    "axes[0,0].set_title('有料会員と無料会員のスコア比較')\n",
    "axes[0,1].set_title('主要ジャンル別有料会員と無料会員のスコア比較')\n",
    "axes[1,0].set_title('ランチ価格帯別有料会員と無料会員のスコア比較')\n",
    "axes[1,1].set_title('ディナー価格帯有料会員と無料会員のスコア比較')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "黒い線は信頼区間です。  \n",
    "有料会員と無料会員でスコアの平均値に**差はほぼないことがわかります**  \n",
    "ジャンル別や昼/夜金額別にみても、有料会員と無料会員で目立った差は見られません。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 151,
   "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 tr th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe thead tr:last-of-type th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th colspan=\"3\" halign=\"left\">score</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>median</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>is_paid</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>0</td>\n",
       "      <td>975</td>\n",
       "      <td>3.444636</td>\n",
       "      <td>3.46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>2860</td>\n",
       "      <td>3.436979</td>\n",
       "      <td>3.45</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        score                 \n",
       "        count      mean median\n",
       "is_paid                       \n",
       "0         975  3.444636   3.46\n",
       "1        2860  3.436979   3.45"
      ]
     },
     "execution_count": 151,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tmp.groupby(['is_paid'])[['score']].agg(['count', 'mean', 'median'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 152,
   "metadata": {},
   "outputs": [],
   "source": [
    "naive = tmp.query(\"is_paid==1\")['score'].mean() - tmp.query(\"is_paid==0\")['score'].mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 153,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.007656876456876294"
      ]
     },
     "execution_count": 153,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "naive"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "全体の平均値の差は-0.007です。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 母平均の差の検定"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "参考URL: https://ohke.hateblo.jp/entry/2018/05/19/230000"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "母平均の差-0.007が統計的に有意な差なのか偶然なのかを調べるために、母平均の差の検定を行います。  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "店が有料会員なのか無料会員なのかが完全にランダムで、スコアの平均がそれぞれ独立した$\\mu_1, \\mu_0$の正規分布に従うと仮定します。  \n",
    "$$\n",
    "y_1 \\sim \\mathcal{N}(\\mu_1, \\sigma_1^2) \\\\\n",
    "y_2 \\sim ,\\mathcal{N}(\\mu_0, \\sigma_0^2) \n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(かなり無理のある仮定です。実際の分布の形はこのように歪で、特に無料会員は多峰です。)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 278,
       "width": 947
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(ncols=2, figsize=(16,4))\n",
    "sns.distplot(tmp.query('is_paid==1')['score'], kde=False, bins=np.arange(3, 5, 0.02), ax=axes[0])\n",
    "sns.distplot(tmp.query('is_paid==0')['score'], kde=False, bins=np.arange(3, 5, 0.02), ax=axes[1])\n",
    "axes[0].set_title('有料会員のスコア分布')\n",
    "axes[1].set_title('無料会員のスコア分布')\n",
    "axes[0].set_xticks(np.arange(3, 5, 0.1))\n",
    "axes[1].set_xticks(np.arange(3, 5, 0.1))\n",
    "axes[0].set_xlabel('スコア')\n",
    "axes[0].set_ylabel('店舗数')\n",
    "axes[1].set_xlabel('スコア')\n",
    "axes[1].set_ylabel('店舗数')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. 等分散が成り立つのか確認"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "まず2群の母分散$\\sigma_1^2, \\sigma_0^2$が等しいとみなして良いのかを確認します。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 155,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "reject\n"
     ]
    }
   ],
   "source": [
    "sigma2_1 = tmp.query('is_paid==1')['score'].var()\n",
    "sigma2_0 = tmp.query('is_paid==0')['score'].var()\n",
    "F = sigma2_1/sigma2_0\n",
    "n = tmp.query('is_paid==1').shape[0]\n",
    "m = tmp.query('is_paid==0').shape[0]\n",
    "if stats.f.cdf(F, n-1, m-1) < 0.05:\n",
    "    print('reject')\n",
    "else:\n",
    "    print('accept')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "等分散性は仮定出来ませんでした。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. 等分散性を仮定出来ない場合の検定"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Ttest_indResult(statistic=-0.9660317000738026, pvalue=0.33418250428989316)"
      ]
     },
     "execution_count": 156,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.ttest_ind(tmp.query('is_paid==1')['score'], tmp.query('is_paid==0')['score'], equal_var=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "pvalue=0.33なので、有意水準10%で2群の差は無いと言えます。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "実際は、店が有料会員なのか無料会員なのかはランダムとは限りません。  \n",
    "そこで、傾向スコアを用いてより正確な因果効果を推定します。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 手法2: IPW推定量を用いた因果効果の推定"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 概要"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "傾向スコアを用いてバイアスを取り除いた比較を行います。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "お店が有料会員になることによって、スコアがどう変化するのかを知りたいです。  \n",
    "あるお店が有料会員であるときのスコアを$y_1$, そうでない場合のスコアを$y_0$とすると、有料会員になる事によるスコアの変化量は以下のように表せます。  \n",
    "$\n",
    "E[y_1 - y_0] = E[y_1] - E[y_0]\n",
    "$\n",
    "\n",
    "これを、因果効果と呼びます。  \n",
    "\n",
    "実際には、あるお店が有料会員だった場合のスコアとそうでなかった場合のスコアを両方観測することはできません。  \n",
    "そこで、有料会員になるかどうかが完全にランダムであれば、観測された有料会員と無料会員の平均値を比較することで因果効果を推定出来ます。  \n",
    "\n",
    "しかし、実際はランダムではないです。例えば、居酒屋は有料会員の割合が高いのに対し、ラーメンは無料会員の割合が高いです。  \n",
    "居酒屋の平均的なスコアが低く、ラーメンの平均的なスコアが高い場合、そのまま平均値の差分をとると因果効果はマイナスの値になってしまいます。  \n",
    "\n",
    "そこで、有料お店会員/無料お店会員の平均値を計算するときに、あるお店が有料お店会員である確率を求めて、その確率の逆で重み付けします。  \n",
    "先程の例だと、居酒屋は有料会員が多いので、有料会員の平均をとる際に小さい値で重み付けします。  \n",
    "代わりに、ラーメンは有料会員が少ないので、有料会員の平均をとる際に大きい値で重み付けします。  \n",
    "無料会員の場合も同様に、無料会員の居酒屋はレアなので大きく重み付けし、無料会員のラーメンはありふれているので小さく重み付けします。  \n",
    "これによって、有料会員と無料会員における居酒屋とラーメンの割合が均等になり、ランダムな状況を擬似的に作り出せます。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"rebalance.png\" width=500>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "理論の詳細についてはめっちゃくちゃわかりやすいスライドがあるので、参考にしてみてください。  \n",
    "上の図はこのスライドの22ページから抜粋いたしました。  \n",
    "https://speakerdeck.com/tomoshige_n/causal-inference-and-data-analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### (興味がある人向け)数式"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "お店$i$が有料会員なら$z_i=1$, 無料会員なら$z_i=0$, 有料会員である確率(傾向スコア)を$e_i$, スコアを$y_i$とします。  \n",
    "IPW推定量は以下のようになります。  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$\n",
    "\\hat{E}[y_1] = \\frac{\\sum_{i=1}^N \\frac{z_i y_i}{e_i}}{\\sum_{i=1}^N \\frac{z_i}{e_i}} \\\\\n",
    "\\hat{E}[y_0] = \\frac{\\sum_{i=1}^N \\frac{(1 - z_i) y_i}{1 - e_i}}{\\sum_{i=1}^N \\frac{(1 - z_i)}{1 - e_i}} \\\\\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ちなみに$E$にハットが付いているのは、真の値ではなく推定値だからです。  \n",
    "$E[y]$の時はyの個数に制約はなく、母集団と見なしていましたが、今回の$\\hat{E}[y_1]$はN個のサンプル$y_1 \\sim y_N$を用いて推定しています。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ここで、真の傾向スコアの値$z_i$がわかっていて、「強く無視できる割り当て」条件(説明は省きます)が成立するなら、$\\hat{E}[y_1]$は$E[y_1]$と一致します。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### どうやるのか"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. お店が有料会員なのか無料会員なのかを分類するモデルを作ります。  \n",
    "2. お店が有料/無料会員である確率を求めて、その逆数をかけた値でスコアの平均値を重み付け平均します。  \n",
    "3. 分類モデルが正確なら、重み付け平均の差分はバイアスが除去された純粋な因果効果となります。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### コード"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "にのぴらさんの実装などが参考になります。  \n",
    "URL: https://pira-nino.hatenablog.com/entry/causal_inference_implement"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. 有料会員である確率を求めるモデルの作成"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ロジスティック回帰モデルを使います"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = pd.get_dummies(tmp[cov_cols], drop_first=True).values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = tmp['is_paid'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_pred = np.zeros(y.shape[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/beyer3235/.local/lib/python3.6/site-packages/sklearn/linear_model/logistic.py:432: FutureWarning: Default solver will be changed to 'lbfgs' in 0.22. Specify a solver to silence this warning.\n",
      "  FutureWarning)\n",
      "/home/beyer3235/.local/lib/python3.6/site-packages/sklearn/linear_model/logistic.py:432: FutureWarning: Default solver will be changed to 'lbfgs' in 0.22. Specify a solver to silence this warning.\n",
      "  FutureWarning)\n",
      "/home/beyer3235/.local/lib/python3.6/site-packages/sklearn/linear_model/logistic.py:432: FutureWarning: Default solver will be changed to 'lbfgs' in 0.22. Specify a solver to silence this warning.\n",
      "  FutureWarning)\n",
      "/home/beyer3235/.local/lib/python3.6/site-packages/sklearn/linear_model/logistic.py:432: FutureWarning: Default solver will be changed to 'lbfgs' in 0.22. Specify a solver to silence this warning.\n",
      "  FutureWarning)\n"
     ]
    }
   ],
   "source": [
    "# StratifiedKFoldで予測値を計算する\n",
    "sss = StratifiedKFold(n_splits=4, random_state=1234, shuffle=True)\n",
    "for i, (train_index, test_index) in enumerate(sss.split(X, y)):\n",
    "    model = LogisticRegression()\n",
    "    model.fit(X[train_index, :], y[train_index])\n",
    "    y_pred[test_index] = model.predict(X[test_index])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "モデルの正答率も一応確認します  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_pred = model.predict(X)\n",
    "y_true = y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 452,  523],\n",
       "       [ 142, 2718]])"
      ]
     },
     "execution_count": 163,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "confusion_matrix(y_true, y_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8265971316818774"
      ]
     },
     "execution_count": 164,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "accuracy_score(y_true, y_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 179,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.706969696969697"
      ]
     },
     "execution_count": 179,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "roc_auc_score(y_true, y_pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "AUCが0.7を超えたのでギリギリOKです。  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. 傾向スコアの計算"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 165,
   "metadata": {},
   "outputs": [],
   "source": [
    "ps = model.predict_proba(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:1: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  \"\"\"Entry point for launching an IPython kernel.\n"
     ]
    }
   ],
   "source": [
    "tmp['ps_lr'] = ps[:,1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. 傾向スコアの分布を確認"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "傾向スコアの分布が有料会員と無料会員で左右対称になっているか、所属確率が満遍なく分布しているのかを確かめます。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "is_paid\n",
       "0     975\n",
       "1    2860\n",
       "Name: mise, dtype: int64"
      ]
     },
     "execution_count": 167,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tmp.groupby(['is_paid'])['mise'].count()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 168,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 266,
       "width": 697
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 4))\n",
    "sns.distplot(tmp.query('is_paid==1')['ps_lr'], kde=False, norm_hist=True, bins=np.arange(0,1,0.05), ax=ax, label='有料会員')\n",
    "sns.distplot(tmp.query('is_paid==0')['ps_lr'], kde=False, norm_hist=True, bins=np.arange(0,1,0.05), ax=ax, label='無料会員')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "この分布が有料会員と無料会員で左右対称になるのがベストです。  \n",
    "どちらの分布でも、所属確率がきちんと[0,1]で分布していることを確認します。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "有料会員になる確率が0.0~0.2となる場所の分布がイマイチです。  \n",
    "また、無料会員における分布が右に寄っています。  \n",
    "教師データのバランスをアンダーサンプリング等で揃えてあげた方が良いのでしょうか...？  \n",
    "\n",
    "ちょっとここら辺はわからないので、誰かご存知の方いらっしゃれば教えて頂けると嬉しいです。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "次に、主要な説明変数に対して傾向スコアの逆数をかけたら平らに補正されるかを確かめます。  \n",
    "雑にlightGBMのfeature importanceを確認します。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "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>importance</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>save_num</td>\n",
       "      <td>663</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>idv_over35</td>\n",
       "      <td>597</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>review_num</td>\n",
       "      <td>541</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            importance\n",
       "save_num           663\n",
       "idv_over35         597\n",
       "review_num         541"
      ]
     },
     "execution_count": 191,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# lightgbmのfeatureimportanceはバイナリより連続な変数を重要視する傾向がある\n",
    "model = lightgbm.LGBMClassifier()\n",
    "model.fit(X, y)\n",
    "importance = pd.DataFrame(model.feature_importances_,\n",
    "                          index=pd.get_dummies(tmp[cov_cols], drop_first=True).columns, \n",
    "                          columns=['importance'])\n",
    "importance.sort_values(['importance'], ascending=False).head(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 200,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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

四捨五入ができていませんでした。
有料会員と無料会員のスコアをそのまま計算した差は-0.007656876456876294なので、四捨五入すると-0.008です。

"save_num"の無料会員に対する傾向スコアの逆重み付けの計算式が間違ってたので近日直します
最終的な推定結果には影響ありません

In [145]の図において、ランチ価格帯毎のスコア平均のタイトルが「ディナー価格別」、ディナー価格帯毎のスコア平均のタイトルが「ランチ価格別」になってます
気をつけてください