{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# supp-2: 심슨의 역설 (2)\n", "\n", "최규빈 \n", "2023-10-15\n", "\n", "\n", "\n", "# 1. 강의영상\n", "\n", "\n", "\n", "# 2. Imports" ], "id": "73dacc89-8b41-48b7-a20d-01c1bbdeb1a5" }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [] }, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "from plotnine import *" ], "id": "f4734f21-7690-4703-a1a9-8639e2fc3555" }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3. 심슨의 역설 – 이어서\n", "\n", "`-` 버클리대학교의 입학데이터\n", "\n", "- \n", "\n", "`-` 주장: 버클리대학에 gender bias가 존재한다.\n", "\n", "- 1973년 가을학기의 입학통계에 따르면 지원하는 남성이 여성보다 훨씬\n", " 많이 합격했고, 그 차이가 너무 커서 우연의 일치라 보기 어렵다." ], "id": "0a7c7b27-bf40-44fd-9b0c-69a04d99748a" }, { "cell_type": "code", "execution_count": 36, "metadata": { "tags": [] }, "outputs": [], "source": [ "df=pd.read_csv(\"https://raw.githubusercontent.com/guebin/DV2022/master/posts/Simpson.csv\",index_col=0,header=[0,1])\\\n", ".stack().stack().reset_index()\\\n", ".rename({'level_0':'department','level_1':'result','level_2':'gender',0:'count'},axis=1)\n", "df" ], "id": "a57f7905-3265-4ab4-b849-e8819a5740fb" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A. 시각화1: 전체합격률 시각화 – pandas 초보\n", "\n", "## B. 시각화1: 전체합격률 시각화 – pandas 고수" ], "id": "346a93f0-735a-44cf-8aba-4af057cf4e57" }, { "cell_type": "code", "execution_count": 37, "metadata": { "tags": [] }, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "/tmp/ipykernel_1831005/1840989269.py:1: FutureWarning: The provided callable is currently using DataFrameGroupBy.sum. In a future version of pandas, the provided callable will be used directly. To keep current behavior pass the string \"sum\" instead." ] }, { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABQAAAAPACAYAAABq3NR5AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nYII=\n" } } ], "source": [ "tidydata = df.pivot_table(index='gender', columns='result', values='count', aggfunc=sum)\\\n", ".assign(rate = lambda _df: _df['pass'] / (_df['fail'] + _df['pass']))\\\n", ".reset_index()\n", "\n", "fig = ggplot(tidydata) \n", "col = geom_col(aes(x='gender',y='rate',fill='gender'))\n", "fig + col " ], "id": "1467356c-8c1a-4495-94c4-adba5834e263" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## C. 시각화2: 학과별합격률 시각화 – pandas 고수" ], "id": "5212fb99-aa91-4488-99a8-3a8dd08e9eb1" }, { "cell_type": "code", "execution_count": 48, "metadata": { "tags": [] }, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "/tmp/ipykernel_1831005/1491763288.py:1: FutureWarning: The provided callable is currently using DataFrameGroupBy.sum. In a future version of pandas, the provided callable will be used directly. To keep current behavior pass the string \"sum\" instead." ] } ], "source": [ "df.pivot_table(index=['gender','department'], columns='result',values='count',aggfunc=sum)\\\n", ".assign(rate = lambda _df: _df['pass']/(_df['fail']+_df['pass']))\\\n", ".reset_index()" ], "id": "249ba67c-22b3-4ba3-a74f-ee95d1944937" }, { "cell_type": "code", "execution_count": 50, "metadata": { "tags": [] }, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "/tmp/ipykernel_1831005/2462720722.py:1: FutureWarning: The provided callable is currently using DataFrameGroupBy.sum. In a future version of pandas, the provided callable will be used directly. To keep current behavior pass the string \"sum\" instead." ] }, { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABQAAAAPACAYAAABq3NR5AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nAMDA/hfCmc93LHFTFwAAAABJRU5ErkJggg==\n" } } ], "source": [ "tidydata = df.pivot_table(index=['gender','department'], columns='result',values='count',aggfunc=sum)\\\n", ".assign(rate = lambda _df: _df['pass']/(_df['fail']+_df['pass']))\\\n", ".reset_index()\n", "\n", "fig = ggplot(tidydata) \n", "facet = facet_wrap('department')\n", "col = geom_col(aes(x='gender',y='rate',fill='gender'))\n", "fig + facet + col " ], "id": "59dad38e-8ab9-4b11-ae77-a1ffb7392641" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## D. 해석\n", "\n", "`-` 시각화1: 남자의 합격률이 더 높다. $\\to$ 성차별이 있어보인다(?)\n", "\n", "`-` 시각화2: 학과별로 살펴보니 오히려 A,B,F,D의 경우 여성의 합격률이\n", "높다.\n", "\n", "`-` 교재에서 설명한 이유: 여성이 합격률이 낮은 학과에만 많이 지원하였기\n", "때문" ], "id": "0e3e1192-bf38-45d9-b485-b058c7c0b0db" }, { "cell_type": "code", "execution_count": 68, "metadata": { "tags": [] }, "outputs": [], "source": [ "df.pivot_table(index='department', columns='gender', values='count',aggfunc='sum')\\\n", ".stack().reset_index().rename({0:'count'},axis=1)" ], "id": "650b8766-d85b-4145-a630-274fa6a4336b" }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABQAAAAPACAYAAABq3NR5AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nCAAAAAAAAFjY/wE1mqV5vrWDNwAAAABJRU5ErkJggg==\n" } } ], "source": [ "tidydata = df.pivot_table(index='department', columns='gender', values='count',aggfunc='sum')\\\n", ".stack().reset_index().rename({0:'count'},axis=1)\n", "\n", " \n", "fig = ggplot(tidydata) \n", "col = geom_col(aes(x='department',y='count',fill='gender'),position='dodge')\n", "fig+col" ], "id": "a78a4350-0757-43a6-b02c-5a2ef7abf8fc" }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 4. HW" ], "id": "42d67659-86ba-4263-8469-2f8b26a76d6a" }, { "cell_type": "code", "execution_count": 73, "metadata": { "tags": [] }, "outputs": [], "source": [ "df = pd.read_csv(\"https://raw.githubusercontent.com/guebin/DV2022/master/posts/Simpson2.csv\")\n", "df" ], "id": "b9933517-e39b-44e9-a278-8ee45699ab2e" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 시각화1: 성별합격률 시각화" ], "id": "f0b24df9-009a-4b38-9eef-fb4462d75a10" }, { "cell_type": "code", "execution_count": 21, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABQAAAAPACAYAAABq3NR5AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\n" } } ], "source": [ "# 시각화예시" ], "id": "b69f363c-a103-4399-a191-6cae475e0055" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 시각화2: (학과,성별) 합격률 시각화" ], "id": "c089c3c8-6a3d-43e7-9d7f-c885e7867996" }, { "cell_type": "code", "execution_count": 35, "metadata": { "tags": [] }, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABQAAAAPACAYAAABq3NR5AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nBUAAAAAAAADAwCgAAgAAAAAAAAb2f7wcTa+ArdMpAAAAAElFTkSuQmCC\n" } } ], "source": [ "# 시각화예시" ], "id": "f713ac9c-3a0d-4ca6-89dc-93bdedfabbeb" } ], "nbformat": 4, "nbformat_minor": 5, "metadata": { "kernelspec": { "name": "python3", "display_name": "Python 3 (ipykernel)", "language": "python" }, "language_info": { "name": "python", "codemirror_mode": { "name": "ipython", "version": "3" }, "file_extension": ".py", "mimetype": "text/x-python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.13" } } }