wakamatsuikuma/01_ps_causal_inference.ipynb

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## 02_basic_aggregation.ipynb
{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "collapsed_sections": [
        "XRhCerF58Cm2",
        "ILM6K29HW0rf",
        "OXijuArIXBXW",
        "B3MGHldpb_yj",
        "z1brbCs6cLpa",
        "JGD5MXsLcx32",
        "4EoSlgWZeiWr",
        "IzFqbnyeeica",
        "iteVAGGicyDi",
        "zrmrFkBKgdhH",
        "a0BqkPkroctz",
        "nNGUCMlWKupo",
        "d2Vialk8zMDH",
        "1xs9AGE9Kk2n",
        "kLiV4MNzK3kJ"
      ]
    },
    "kernelspec": {
      "name": "ir",
      "display_name": "R"
    },
    "language_info": {
      "name": "python"
    },
    "gpuClass": "standard"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# 分析"
      ],
      "metadata": {
        "id": "5lBYNEnH8Aek"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "### パッケージのインストール、ライブラリ読み込み、データ読み込み"
      ],
      "metadata": {
        "id": "XRhCerF58Cm2"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# havenパッケージのインストール\n",
        "install.packages(\"haven\")\n",
        "install.packages(\"MatchIt\")\n",
        "install.packages(\"WeightIt\")\n",
        "install.packages(\"cobalt\")\n",
        "install.packages(\"psych\")\n",
        "install.packages(\"reshape2\")\n",
        "\n",
        "# ライブラリの読み込み\n",
        "library(\"tidyverse\")\n",
        "library(\"haven\")\n",
        "library(\"broom\")\n",
        "library(\"MatchIt\")\n",
        "library(\"WeightIt\")\n",
        "library(\"cobalt\")\n",
        "library(\"psych\")\n",
        "library(\"ggplot2\")\n",
        "library(\"reshape2\")\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "D_BjfCR2t7HS",
        "outputId": "0745a7b2-0da9-4e24-f548-f56d8172f2a7"
      },
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "also installing the dependencies ‘chk’, ‘Rcpp’, ‘RcppProgress’\n",
            "\n",
            "\n",
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "also installing the dependencies ‘gridExtra’, ‘cobalt’\n",
            "\n",
            "\n",
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "also installing the dependency ‘mnormt’\n",
            "\n",
            "\n",
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n",
            "also installing the dependency ‘plyr’\n",
            "\n",
            "\n",
            "── \u001b[1mAttaching core tidyverse packages\u001b[22m ──────────────────────── tidyverse 2.0.0 ──\n",
            "\u001b[32m✔\u001b[39m \u001b[34mdplyr    \u001b[39m 1.1.3     \u001b[32m✔\u001b[39m \u001b[34mreadr    \u001b[39m 2.1.4\n",
            "\u001b[32m✔\u001b[39m \u001b[34mforcats  \u001b[39m 1.0.0     \u001b[32m✔\u001b[39m \u001b[34mstringr  \u001b[39m 1.5.0\n",
            "\u001b[32m✔\u001b[39m \u001b[34mggplot2  \u001b[39m 3.4.3     \u001b[32m✔\u001b[39m \u001b[34mtibble   \u001b[39m 3.2.1\n",
            "\u001b[32m✔\u001b[39m \u001b[34mlubridate\u001b[39m 1.9.2     \u001b[32m✔\u001b[39m \u001b[34mtidyr    \u001b[39m 1.3.0\n",
            "\u001b[32m✔\u001b[39m \u001b[34mpurrr    \u001b[39m 1.0.2     \n",
            "── \u001b[1mConflicts\u001b[22m ────────────────────────────────────────── tidyverse_conflicts() ──\n",
            "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mfilter()\u001b[39m masks \u001b[34mstats\u001b[39m::filter()\n",
            "\u001b[31m✖\u001b[39m \u001b[34mdplyr\u001b[39m::\u001b[32mlag()\u001b[39m    masks \u001b[34mstats\u001b[39m::lag()\n",
            "\u001b[36mℹ\u001b[39m Use the conflicted package (\u001b[3m\u001b[34m<http://conflicted.r-lib.org/>\u001b[39m\u001b[23m) to force all conflicts to become errors\n",
            " cobalt (Version 4.5.1, Build Date: 2023-04-27)\n",
            "\n",
            "\n",
            "Attaching package: ‘cobalt’\n",
            "\n",
            "\n",
            "The following object is masked from ‘package:MatchIt’:\n",
            "\n",
            "    lalonde\n",
            "\n",
            "\n",
            "\n",
            "Attaching package: ‘psych’\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:ggplot2’:\n",
            "\n",
            "    %+%, alpha\n",
            "\n",
            "\n",
            "\n",
            "Attaching package: ‘reshape2’\n",
            "\n",
            "\n",
            "The following object is masked from ‘package:tidyr’:\n",
            "\n",
            "    smiths\n",
            "\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# データ読み込み\n",
        "nswdw_data <- read_dta(\"https://users.nber.org/~rdehejia/data/nsw_dw.dta\")\n",
        "cps1_data <- read_dta(\"https://users.nber.org/~rdehejia/data/cps_controls.dta\")\n",
        "cps3_data <- read_dta(\"https://users.nber.org/~rdehejia/data/cps_controls3.dta\")\n"
      ],
      "metadata": {
        "id": "MLxWGetTsOtX"
      },
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "### 集計"
      ],
      "metadata": {
        "id": "ILM6K29HW0rf"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data_check <- function(df){\n",
        "  print(\"【形状】:\")\n",
        "  print(dim(df))\n",
        "\n",
        "  print(\"【データ型】:\")\n",
        "  print(sapply(df, class))\n",
        "\n",
        "  print(\"【欠損量】:\")\n",
        "  print(colSums(is.na(df)))\n",
        "\n",
        "  print(\"【ユニーク数】:\")\n",
        "  print(apply(df, 2, function(x) length(unique(x))))\n",
        "\n",
        "  print(\"【先頭行】:\")\n",
        "  print(head(df, n=5))\n",
        "\n",
        "  print(\"【統計量】\")\n",
        "  summary(df)\n",
        "}"
      ],
      "metadata": {
        "id": "R41OCk2us5VU"
      },
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "data_check(nswdw_data)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 868
        },
        "id": "pPfA-u43s5fh",
        "outputId": "e5dea4fe-3bbc-49cd-ec43-5d1227089aa9"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1] \"【形状】:\"\n",
            "[1] 445  11\n",
            "[1] \"【データ型】:\"\n",
            "    data_id       treat         age   education       black    hispanic \n",
            "\"character\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\" \n",
            "    married    nodegree        re74        re75        re78 \n",
            "  \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\" \n",
            "[1] \"【欠損量】:\"\n",
            "  data_id     treat       age education     black  hispanic   married  nodegree \n",
            "        0         0         0         0         0         0         0         0 \n",
            "     re74      re75      re78 \n",
            "        0         0         0 \n",
            "[1] \"【ユニーク数】:\"\n",
            "  data_id     treat       age education     black  hispanic   married  nodegree \n",
            "        1         2        34        14         2         2         2         2 \n",
            "     re74      re75      re78 \n",
            "      115       155       308 \n",
            "[1] \"【先頭行】:\"\n",
            "\u001b[90m# A tibble: 5 × 11\u001b[39m\n",
            "  data_id      treat   age education black hispanic married nodegree  re74  re75\n",
            "  \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m        \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m     \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m    \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m   \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m    \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m\n",
            "\u001b[90m1\u001b[39m Dehejia-Wah…     1    37        11     1        0       1        1     0     0\n",
            "\u001b[90m2\u001b[39m Dehejia-Wah…     1    22         9     0        1       0        1     0     0\n",
            "\u001b[90m3\u001b[39m Dehejia-Wah…     1    30        12     1        0       0        0     0     0\n",
            "\u001b[90m4\u001b[39m Dehejia-Wah…     1    27        11     1        0       0        1     0     0\n",
            "\u001b[90m5\u001b[39m Dehejia-Wah…     1    33         8     1        0       0        1     0     0\n",
            "\u001b[90m# ℹ 1 more variable: re78 <dbl>\u001b[39m\n",
            "[1] \"【統計量】\"\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "   data_id              treat             age          education   \n",
              " Length:445         Min.   :0.0000   Min.   :17.00   Min.   : 3.0  \n",
              " Class :character   1st Qu.:0.0000   1st Qu.:20.00   1st Qu.: 9.0  \n",
              " Mode  :character   Median :0.0000   Median :24.00   Median :10.0  \n",
              "                    Mean   :0.4157   Mean   :25.37   Mean   :10.2  \n",
              "                    3rd Qu.:1.0000   3rd Qu.:28.00   3rd Qu.:11.0  \n",
              "                    Max.   :1.0000   Max.   :55.00   Max.   :16.0  \n",
              "     black           hispanic          married          nodegree    \n",
              " Min.   :0.0000   Min.   :0.00000   Min.   :0.0000   Min.   :0.000  \n",
              " 1st Qu.:1.0000   1st Qu.:0.00000   1st Qu.:0.0000   1st Qu.:1.000  \n",
              " Median :1.0000   Median :0.00000   Median :0.0000   Median :1.000  \n",
              " Mean   :0.8337   Mean   :0.08764   Mean   :0.1685   Mean   :0.782  \n",
              " 3rd Qu.:1.0000   3rd Qu.:0.00000   3rd Qu.:0.0000   3rd Qu.:1.000  \n",
              " Max.   :1.0000   Max.   :1.00000   Max.   :1.0000   Max.   :1.000  \n",
              "      re74              re75            re78      \n",
              " Min.   :    0.0   Min.   :    0   Min.   :    0  \n",
              " 1st Qu.:    0.0   1st Qu.:    0   1st Qu.:    0  \n",
              " Median :    0.0   Median :    0   Median : 3702  \n",
              " Mean   : 2102.3   Mean   : 1377   Mean   : 5301  \n",
              " 3rd Qu.:  824.4   3rd Qu.: 1221   3rd Qu.: 8125  \n",
              " Max.   :39570.7   Max.   :25142   Max.   :60308  "
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data_check(cps1_data)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 868
        },
        "id": "Ok0T7kjjuyvk",
        "outputId": "988583ea-dcd2-40c3-9ee7-0ac9f9e3f3b4"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1] \"【形状】:\"\n",
            "[1] 15992    11\n",
            "[1] \"【データ型】:\"\n",
            "    data_id       treat         age   education       black    hispanic \n",
            "\"character\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\" \n",
            "    married    nodegree        re74        re75        re78 \n",
            "  \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\" \n",
            "[1] \"【欠損量】:\"\n",
            "  data_id     treat       age education     black  hispanic   married  nodegree \n",
            "        0         0         0         0         0         0         0         0 \n",
            "     re74      re75      re78 \n",
            "        0         0         0 \n",
            "[1] \"【ユニーク数】:\"\n",
            "  data_id     treat       age education     black  hispanic   married  nodegree \n",
            "        1         1        40        19         2         2         2         2 \n",
            "     re74      re75      re78 \n",
            "     7333      7615      7243 \n",
            "[1] \"【先頭行】:\"\n",
            "\u001b[90m# A tibble: 5 × 11\u001b[39m\n",
            "  data_id treat   age education black hispanic married nodegree   re74   re75\n",
            "  \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m   \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m     \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m    \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m   \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m    \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m  \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m  \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m\n",
            "\u001b[90m1\u001b[39m CPS1        0    45        11     0        0       1        1 \u001b[4m2\u001b[24m\u001b[4m1\u001b[24m517. \u001b[4m2\u001b[24m\u001b[4m5\u001b[24m244.\n",
            "\u001b[90m2\u001b[39m CPS1        0    21        14     0        0       0        0  \u001b[4m3\u001b[24m176.  \u001b[4m5\u001b[24m853.\n",
            "\u001b[90m3\u001b[39m CPS1        0    38        12     0        0       1        0 \u001b[4m2\u001b[24m\u001b[4m3\u001b[24m039. \u001b[4m2\u001b[24m\u001b[4m5\u001b[24m131.\n",
            "\u001b[90m4\u001b[39m CPS1        0    48         6     0        0       1        1 \u001b[4m2\u001b[24m\u001b[4m4\u001b[24m994. \u001b[4m2\u001b[24m\u001b[4m5\u001b[24m244.\n",
            "\u001b[90m5\u001b[39m CPS1        0    18         8     0        0       1        1  \u001b[4m1\u001b[24m669. \u001b[4m1\u001b[24m\u001b[4m0\u001b[24m728.\n",
            "\u001b[90m# ℹ 1 more variable: re78 <dbl>\u001b[39m\n",
            "[1] \"【統計量】\"\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "   data_id              treat        age          education    \n",
              " Length:15992       Min.   :0   Min.   :16.00   Min.   : 0.00  \n",
              " Class :character   1st Qu.:0   1st Qu.:24.00   1st Qu.:11.00  \n",
              " Mode  :character   Median :0   Median :31.00   Median :12.00  \n",
              "                    Mean   :0   Mean   :33.23   Mean   :12.03  \n",
              "                    3rd Qu.:0   3rd Qu.:42.00   3rd Qu.:13.00  \n",
              "                    Max.   :0   Max.   :55.00   Max.   :18.00  \n",
              "     black            hispanic          married          nodegree     \n",
              " Min.   :0.00000   Min.   :0.00000   Min.   :0.0000   Min.   :0.0000  \n",
              " 1st Qu.:0.00000   1st Qu.:0.00000   1st Qu.:0.0000   1st Qu.:0.0000  \n",
              " Median :0.00000   Median :0.00000   Median :1.0000   Median :0.0000  \n",
              " Mean   :0.07354   Mean   :0.07204   Mean   :0.7117   Mean   :0.2958  \n",
              " 3rd Qu.:0.00000   3rd Qu.:0.00000   3rd Qu.:1.0000   3rd Qu.:1.0000  \n",
              " Max.   :1.00000   Max.   :1.00000   Max.   :1.0000   Max.   :1.0000  \n",
              "      re74            re75            re78      \n",
              " Min.   :    0   Min.   :    0   Min.   :    0  \n",
              " 1st Qu.: 4403   1st Qu.: 4399   1st Qu.: 5669  \n",
              " Median :15124   Median :14557   Median :16422  \n",
              " Mean   :14017   Mean   :13651   Mean   :14847  \n",
              " 3rd Qu.:23584   3rd Qu.:22924   3rd Qu.:25565  \n",
              " Max.   :25862   Max.   :25244   Max.   :25565  "
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data_check(cps3_data)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 868
        },
        "id": "D9gcKGt92qYm",
        "outputId": "8f781cc1-b93c-468c-9077-30bd8622c421"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1] \"【形状】:\"\n",
            "[1] 429  11\n",
            "[1] \"【データ型】:\"\n",
            "    data_id       treat         age   education       black    hispanic \n",
            "\"character\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\" \n",
            "    married    nodegree        re74        re75        re78 \n",
            "  \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\"   \"numeric\" \n",
            "[1] \"【欠損量】:\"\n",
            "  data_id     treat       age education     black  hispanic   married  nodegree \n",
            "        0         0         0         0         0         0         0         0 \n",
            "     re74      re75      re78 \n",
            "        0         0         0 \n",
            "[1] \"【ユニーク数】:\"\n",
            "  data_id     treat       age education     black  hispanic   married  nodegree \n",
            "        1         1        40        19         2         2         2         2 \n",
            "     re74      re75      re78 \n",
            "      306       283       317 \n",
            "[1] \"【先頭行】:\"\n",
            "\u001b[90m# A tibble: 5 × 11\u001b[39m\n",
            "  data_id treat   age education black hispanic married nodegree   re74   re75\n",
            "  \u001b[3m\u001b[90m<chr>\u001b[39m\u001b[23m   \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m     \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m    \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m   \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m    \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m  \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m  \u001b[3m\u001b[90m<dbl>\u001b[39m\u001b[23m\n",
            "\u001b[90m1\u001b[39m CPS3        0    30        12     0        0       1        0 \u001b[4m2\u001b[24m\u001b[4m0\u001b[24m167. \u001b[4m1\u001b[24m\u001b[4m8\u001b[24m347.\n",
            "\u001b[90m2\u001b[39m CPS3        0    26        12     0        0       1        0 \u001b[4m2\u001b[24m\u001b[4m5\u001b[24m862. \u001b[4m1\u001b[24m\u001b[4m7\u001b[24m807.\n",
            "\u001b[90m3\u001b[39m CPS3        0    25        16     0        0       1        0 \u001b[4m2\u001b[24m\u001b[4m5\u001b[24m862. \u001b[4m1\u001b[24m\u001b[4m5\u001b[24m316.\n",
            "\u001b[90m4\u001b[39m CPS3        0    42        11     0        0       1        1 \u001b[4m2\u001b[24m\u001b[4m1\u001b[24m787. \u001b[4m1\u001b[24m\u001b[4m4\u001b[24m265.\n",
            "\u001b[90m5\u001b[39m CPS3        0    25         9     1        0       1        1 \u001b[4m1\u001b[24m\u001b[4m4\u001b[24m830. \u001b[4m1\u001b[24m\u001b[4m3\u001b[24m777.\n",
            "\u001b[90m# ℹ 1 more variable: re78 <dbl>\u001b[39m\n",
            "[1] \"【統計量】\"\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "   data_id              treat        age          education    \n",
              " Length:429         Min.   :0   Min.   :16.00   Min.   : 0.00  \n",
              " Class :character   1st Qu.:0   1st Qu.:19.00   1st Qu.: 9.00  \n",
              " Mode  :character   Median :0   Median :25.00   Median :11.00  \n",
              "                    Mean   :0   Mean   :28.03   Mean   :10.24  \n",
              "                    3rd Qu.:0   3rd Qu.:35.00   3rd Qu.:12.00  \n",
              "                    Max.   :0   Max.   :55.00   Max.   :18.00  \n",
              "     black           hispanic         married          nodegree     \n",
              " Min.   :0.0000   Min.   :0.0000   Min.   :0.0000   Min.   :0.0000  \n",
              " 1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:0.0000   1st Qu.:0.0000  \n",
              " Median :0.0000   Median :0.0000   Median :1.0000   Median :1.0000  \n",
              " Mean   :0.2028   Mean   :0.1422   Mean   :0.5128   Mean   :0.5967  \n",
              " 3rd Qu.:0.0000   3rd Qu.:0.0000   3rd Qu.:1.0000   3rd Qu.:1.0000  \n",
              " Max.   :1.0000   Max.   :1.0000   Max.   :1.0000   Max.   :1.0000  \n",
              "      re74            re75            re78        \n",
              " Min.   :    0   Min.   :    0   Min.   :    0.0  \n",
              " 1st Qu.:    0   1st Qu.:    0   1st Qu.:  220.2  \n",
              " Median : 2547   Median : 1087   Median : 4975.5  \n",
              " Mean   : 5619   Mean   : 2466   Mean   : 6984.2  \n",
              " 3rd Qu.: 9277   3rd Qu.: 3881   3rd Qu.:11688.8  \n",
              " Max.   :25862   Max.   :18347   Max.   :25564.7  "
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### 可視化"
      ],
      "metadata": {
        "id": "OXijuArIXBXW"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "##### 2値変数の分布"
      ],
      "metadata": {
        "id": "B3MGHldpb_yj"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "data = nswdw_data\n",
        "ggplot(data, aes(x=treat)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of treat\") +\n",
        "  theme(text=element_text(size=20))\n",
        "\n",
        "ggplot(data, aes(x=black)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of black\") +\n",
        "  theme(text=element_text(size=20))\n",
        "\n",
        "ggplot(data, aes(x=hispanic)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of hispanic\") +\n",
        "  theme(text=element_text(size=20))\n",
        "\n",
        "ggplot(data, aes(x=married)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of married\") +\n",
        "  theme(text=element_text(size=20))\n",
        "\n",
        "ggplot(data, aes(x=nodegree)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of nodegree\") +\n",
        "  theme(text=element_text(size=20))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "8Xe25qW0k_Gg",
        "outputId": "25acca79-fbb5-4288-a325-6d788dbb2fe4"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Warning message:\n",
            "“\u001b[1m\u001b[22mThe dot-dot notation (`..count..`) was deprecated in ggplot2 3.4.0.\n",
            "\u001b[36mℹ\u001b[39m Please use `after_stat(count)` instead.”\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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BUQElAFhARUASEBVUBIQBUQElAFhARU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\nUAWEBFQBIQFVQEhAFfx/9lGPObaM1V4AAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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bNde2/77XFv5vf0XMNe/bbsf+gf7cnR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\nGIBIAMQARAIgBv4/N7RFwBXZMjsAAAAASUVORK5CYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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voeqdLdDnb/3k8G9+rH2wYnXxte9I/+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\ndmCmdrxd7G+F+cYR0op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          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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D5/qQ0vKZzhf/vlN33+H95uhQ/Gla6s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\n58CBA8/p9QobfTA2M+e/PdRVd3FpTUIaW3wuN92eUbHqmz9v3rz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UPr5w/o/emL/+OzeSDVssIqQ6IKSs+r4xPzf/Ofu2n33SmO/ONV++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"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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9Kr186/mJztXopImm5liqQbQRuRS/MN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\nAMQARAIgBiASADEAkQCIAYgEQAz8fzdrzBK4W2f6AAAAAElFTkSuQmCC"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data = cps1_data\n",
        "ggplot(data, aes(x=treat)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of treat\") +\n",
        "  theme(text=element_text(size=20))\n",
        "\n",
        "ggplot(data, aes(x=black)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of black\") +\n",
        "  theme(text=element_text(size=20))\n",
        "\n",
        "ggplot(data, aes(x=hispanic)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of hispanic\") +\n",
        "  theme(text=element_text(size=20))\n",
        "\n",
        "ggplot(data, aes(x=married)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of married\") +\n",
        "  theme(text=element_text(size=20))\n",
        "\n",
        "ggplot(data, aes(x=nodegree)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of nodegree\") +\n",
        "  theme(text=element_text(size=20))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "VPSqrke9reqm",
        "outputId": "8a224e81-8358-42da-d1e2-e590842054d5"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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AkQQEiAAEICBBASIICQAAGFDmlDDtRt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\nYII="
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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2+n3b4z+q3sO7007ODuO/Y49k57cnRk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\nb3vikGWWvB208gL1aEa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          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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lp1vjm+wHXtvKrv/ss5Ln5jXLIz/1f9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\nQMMXqEvaOIMCLb9IlTr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          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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A+aK0QyAETiB80VIhkAIvGD5gqRDACR+EFzhUgGgEj8oLlCJANAJH7QXCGSASAS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\nyQ4QqRHcrUa1YFFQpLIvVTU1M8ec+RMHe5cbHlTnTQ93K80W6X3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          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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V6o/9ZO2+52xCx16vPT3A3iucF8lwo/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"
          },
          "metadata": {
            "image/png": {
              "width": 420,
              "height": 420
            }
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "data = cps3_data\n",
        "ggplot(data, aes(x=treat)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of treat\") +\n",
        "  theme(text=element_text(size=20))\n",
        "\n",
        "ggplot(data, aes(x=black)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of black\") +\n",
        "  theme(text=element_text(size=20))\n",
        "\n",
        "ggplot(data, aes(x=hispanic)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of hispanic\") +\n",
        "  theme(text=element_text(size=20))\n",
        "\n",
        "ggplot(data, aes(x=married)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of married\") +\n",
        "  theme(text=element_text(size=20))\n",
        "\n",
        "ggplot(data, aes(x=nodegree)) +\n",
        "  geom_bar(stat=\"count\") +\n",
        "  stat_count(aes(label=..count..), geom=\"text\", vjust=2, colour=\"white\", size=10)+\n",
        "  ggtitle(\"distribution of nodegree\") +\n",
        "  theme(text=element_text(size=20))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "yuGiTuOUj2fU",
        "outputId": "423eb76f-1846-43f5-ec2d-e89c98042942"
      },
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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AGEBAggJEAAIQEC/A+pwSctfm3YaLYa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\n+lcfOF2pP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              "width": 420,
              "height": 420
            }
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "plot without title"
            ],
            "image/png": 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oITPUtCEoQEJ3qWhCQICU70LAlJEBKc6FkSkiAkONGzJCRBSHCiZ0lIgpDgRM+S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\nbph/7IhBo6c8WblcrRJS3PQsCUlkPaS+aLxnQmopPUtCEoQEJ3q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## R_notebook.ipynb

      
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              R_notebook.ipynb
            
          
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