{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a9dec576",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Data for public and private schools\n",
    "codes = [\n",
    "    \"Inclusion\", \"Equity\", \"Discrimination\", \"Exclusion\", \n",
    "    \"Equality\", \"Inequality\", \"Lack of Intercultural Programs\", \n",
    "    \"Lack of Access to Resources\"\n",
    "]\n",
    "\n",
    "public_school_frequencies = [5, 6, 45, 30, 10, 32, 12, 28]\n",
    "private_school_frequencies = [2, 15, 18, 12, 5, 27, 3, 4]\n",
    "\n",
    "# Create subplots\n",
    "fig, axs = plt.subplots(2, 1, figsize=(10, 12))\n",
    "\n",
    "# Plot for public school\n",
    "axs[0].barh(codes, public_school_frequencies, color='blue')\n",
    "axs[0].set_title('Code Frequency in Public School')\n",
    "axs[0].set_xlabel('Frequency')\n",
    "axs[0].set_ylabel('Code')\n",
    "\n",
    "# Plot for private school\n",
    "axs[1].barh(codes, private_school_frequencies, color='green')\n",
    "axs[1].set_title('Code Frequency in Private School')\n",
    "axs[1].set_xlabel('Frequency')\n",
    "axs[1].set_ylabel('Code')\n",
    "\n",
    "# Adjust layout and show plot\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "314bb548",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "# Define the codes\n",
    "codes = [\n",
    "    \"Inclusion\", \"Equity\", \"Discrimination\", \"Exclusion\", \n",
    "    \"Equality\", \"Inequality\", \"Lack of Intercultural Programs\", \n",
    "    \"Lack of Access to Resources\"\n",
    "]\n",
    "\n",
    "# Data for public and private schools\n",
    "public_school_frequencies = [5, 6, 45, 30, 10, 32, 12, 28]\n",
    "private_school_frequencies = [2, 15, 18, 12, 5, 27, 3, 4]\n",
    "\n",
    "# Create a DataFrame for the matrix\n",
    "data = pd.DataFrame(index=codes, columns=codes)\n",
    "\n",
    "# Populate the DataFrame with the minimum frequency between public and private for each code\n",
    "for i, code_y in enumerate(codes):\n",
    "    for j, code_x in enumerate(codes):\n",
    "        data.loc[code_y, code_x] = min(public_school_frequencies[i], private_school_frequencies[j])\n",
    "\n",
    "# Convert to numeric values\n",
    "data = data.apply(pd.to_numeric)\n",
    "\n",
    "# Plotting the heatmap\n",
    "plt.figure(figsize=(12, 8))\n",
    "sns.heatmap(data, annot=True, cmap='Blues', fmt='d')\n",
    "plt.title('Code Frequency Coincidence Matrix Between Public and Private Schools')\n",
    "plt.xlabel('Private School Codes')\n",
    "plt.ylabel('Public School Codes')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b1d0f0b3",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}