Analyze_results_dataframe.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook analyzes and generates plots from `results.df`, which contains various measurements of various clustering methods run on all 1070 Scottish elections.\n",
    "\n",
    "The notebook contains 7 rows for each of the 1070 elections, one for each of 7 clustering methods.\n",
    "It has the following columns:\n",
    "- \"filename\"\n",
    "- \"num_cands\"\n",
    "- \"num_voters\"\n",
    "- \"num_unique_ballots\"\n",
    "- \"avg_ballot_len\"\n",
    "- \"ballot_lengths\" = list reporting the number of ballots of each length between 0 and num_cands.\n",
    "- \"parties\" = list of party abreviations of the candidates.\n",
    "- \"method\" = one of {\"meanBC\", \"meanBA\", \"meanH\", \"medoBC\", \"medoBA\", \"medoH\", \"slate\"}\n",
    "- \"block_size\" = fraction of the ballots in first bloc.\n",
    "- \"sil\" = silhouette score (all scores are with respect to HH embedding)\n",
    "- \"cal\" = calinski harabasz score\n",
    "- \"dav\" = davies bouldin score\n",
    "- \"centers\" = dictionary {0:center0,1:center1} where \"center\" means centroid/medoid/slate, depending on the method.\n",
    "- \"clustering\" = {0:cluster0,1:cluster1} where each cluster is a dictionary matching ballots to weights.\n",
    "- \"method_closeness\" (None except in the slate row of each election): dictionary matching pairs of methods to the difference between the partitions resulting by aplying those methods to that election."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np \n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.manifold import MDS \n",
    "import glob\n",
    "import math\n",
    "import re\n",
    "from Clustering_Functions import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_pickle('results.pkl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add 'party_codes' column containing only the abreviated codes of the parties in the election\n",
    "# also create a dictionary, called party_dict, matching party codes to party full names\n",
    "# (including all parties in all elections)\n",
    "\n",
    "def Party_code_and_fullname(input_string):\n",
    "    start_idx = input_string.find('(')\n",
    "    end_idx = input_string.find(')')\n",
    "    if start_idx != -1 and end_idx != -1:\n",
    "        A = input_string[start_idx + 1:end_idx]\n",
    "        B = input_string[:start_idx].strip() + input_string[end_idx + 1:].strip()\n",
    "        return A, B\n",
    "    else:\n",
    "        return None, input_string\n",
    "\n",
    "party_dict = dict()\n",
    "\n",
    "for index in df.index:\n",
    "    pdict = df['parties'][index]\n",
    "    for party in pdict.values():\n",
    "        code,full_name = Party_code_and_fullname(party)\n",
    "        # first check for codes associated to more than one full name.\n",
    "        if code in party_dict.keys():\n",
    "            if party_dict[code] != party:\n",
    "                raise Exception(code, full_name, party_dict[code])\n",
    "        else:\n",
    "            party_dict[code] = party\n",
    "\n",
    "ls = []\n",
    "for index in df.index:\n",
    "    parties = df['parties'][index]\n",
    "    codes = {cand_num:Party_code_and_fullname(full_party_name)[0]  for cand_num,full_party_name in parties.items()}\n",
    "    ls.append(codes)\n",
    "df['party_codes']=ls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add column 'portion_of_complete_ballots' and 'portion_almost_complete_ballots'\n",
    "l_complete = []\n",
    "l_almost = []\n",
    "for index in df.index:\n",
    "    complete = df['ballot_lengths'][index][df['num_cands'][index]]/df['num_voters'][index]\n",
    "    almost = df['ballot_lengths'][index][df['num_cands'][index]-1]/df['num_voters'][index]\n",
    "    l_complete.append(complete)\n",
    "    l_almost.append(almost)\n",
    "df['portion_complete_ballots'] = l_complete\n",
    "df['portion_almost_complete_ballots'] = l_almost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add column 'bloc_size' = minimum of the two bloc sizes.\n",
    "ls = []\n",
    "for row in range(len(df)):\n",
    "    ls.append(min(df['block_size'][row],1-df['block_size'][row]))\n",
    "df['bloc_size'] = ls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def parse_filename(filename):\n",
    "    # Split the filename and remove the '.csv' extension\n",
    "    parts = filename[:-4].split('_')\n",
    "    \n",
    "    # Find the year, which is a 4-digit number\n",
    "    for i, part in enumerate(parts):\n",
    "        if part.isdigit() and len(part) == 4:\n",
    "            year_index = i\n",
    "            break\n",
    "    else:\n",
    "        return None  # Return None if no 4-digit year is found\n",
    "\n",
    "    # Join parts before the year as location and parts after the year as sublocation\n",
    "    location = ' '.join(parts[:year_index])\n",
    "    year = int(parts[year_index])\n",
    "    sublocation = ' '.join(parts[year_index + 1:])\n",
    "    \n",
    "    return location, year, sublocation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add columns 'year','location', 'sublocation' from the separate parts of the filename\n",
    "\n",
    "def parse_filename(filename):\n",
    "    # Split the filename and remove the '.csv' extension\n",
    "    parts = filename[:-4].split('_')\n",
    "    \n",
    "    # Find the year, which is a 4-digit number\n",
    "    for i, part in enumerate(parts):\n",
    "        if part.isdigit() and len(part) == 4:\n",
    "            year_index = i\n",
    "            break\n",
    "    else:\n",
    "        return None  # Return None if no 4-digit year is found\n",
    "\n",
    "    # Join parts before the year as location and parts after the year as sublocation\n",
    "    location = ' '.join(parts[:year_index])\n",
    "    year = int(parts[year_index])\n",
    "    sublocation = ' '.join(parts[year_index + 1:])\n",
    "    \n",
    "    return location, year, sublocation\n",
    "\n",
    "ls_location = []\n",
    "ls_year = []\n",
    "ls_ward = []\n",
    "for index in df.index:\n",
    "    location, year, ward = parse_filename(df['filename'][index])\n",
    "    ls_location.append(location)\n",
    "    ls_year.append(year)\n",
    "    ls_ward.append(ward)\n",
    "df['location'] = ls_location\n",
    "df['year'] = ls_year\n",
    "df['ward'] = ls_ward"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# list of elections, list of clustering methods\n",
    "filenames = df['filename'].unique()\n",
    "method_list = df['method'].unique()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "dfs = df[df['method']=='slate'] # only the slate trial of each election\n",
    "# note that dfs has one row for each election, and hense is good for gathering data that doesn't involve clustering."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1070, 7490)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(dfs), len(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rV+fnnTFjhnJyclz3nU6nWrduXa9ZAQCAb6rTt7Gu5YEHHmjQ38Vq06aNoqKidPjwYUlSbGysysrK3La5cuWKTp06dc3zfKTvzgOy2+1uNwAAYCaPxk5hYaGaNm3qyad089VXX+nbb79VXFycJCk9PV0VFRUqLi52bbN582bV1NQoLS2tweYAAAD+o04fY/34a+KWZenkyZPauXOn8vLybvp5zp496zpKI0lHjx7V7t27FRkZqcjISM2bN0/Dhw9XbGysjhw5ounTp+vnP/+5MjMzJUnt27fXgAEDNGHCBC1fvlyXL19Wdna2Ro4cyTexAACApDrGTnh4uNv9gIAAtWvXTvPnz1f//v1v+nl27type++913X/+/Noxo4dq2XLlmnPnj364x//qIqKCsXHx6t///568skn3a618/rrrys7O1v9+vVTQECAhg8friVLltTlbQEAAAPVKXZ+eJG/+ujTp48sy7rm+vfff/+GzxEZGckFBAEAwDXV66KCxcXFOnDggCSpY8eOuuuuuzwyFAAAgKfUKXbKyso0cuRIbd26VREREZKkiooK3XvvvVq9erVuu+02T84IAABQZ3X6NtbEiRN15swZ7du3T6dOndKpU6e0d+9eOZ1OTZo0ydMzAgAA1Fmdjuxs2LBBmzZtUvv27V3LOnTooPz8/FqdoAwAANDQ6nRkp6amRkFBQT9ZHhQUpJqamnoPBQAA4Cl1ip2+fftq8uTJOnHihGvZ119/ralTp9brZxwAAAA8rU6x89JLL8npdCopKUlt27ZV27ZtlZycLKfTqaVLl3p6RgAAgDqr0zk7rVu31q5du7Rp0yYdPHhQ0ndXM87IyPDocAAAAPVVqyM7mzdvVocOHeR0OmWz2fSrX/1KEydO1MSJE9WjRw917NhRH374YUPNCgAAUGu1ip3FixdrwoQJV/2V8PDwcP3ud7/Tiy++6LHhAAAA6qtWsfP3v/9dAwYMuOb6/v37u/0COQAAgLfVKnZKS0uv+pXz7wUGBuqbb76p91AAAACeUqvY+dnPfqa9e/dec/2ePXsUFxdX76EAAAA8pVaxM2jQIOXl5enixYs/WXfhwgXNmTNH//Iv/+Kx4QAAAOqrVl89nz17ttasWaM77rhD2dnZateunSTp4MGDys/PV3V1tWbNmtUggwIAANRFrWInJiZG27dv16OPPqoZM2bIsixJks1mU2ZmpvLz8xUTE9MggwIAANRFrS8qmJiYqPfee0+nT5/W4cOHZVmWUlJS1LJly4aYDwAAoF7qdAVlSWrZsqV69OjhyVkAAAA8rk6/jQUAAOAviB0AAGA0YgcAABiN2AEAAEYjdgAAgNGIHQAAYDRiBwAAGI3YAQAARiN2AACA0YgdAABgNGIHAAAYjdgBAABGI3YAAIDRiB0AAGC0QG8PAADe5HA4VF5eXufHR0VFKSEhwYMTAfA0YgfALcvhcCg1tb0uXDhf5+cIDW2mgwcPEDyADyN2ANyyysvLdeHCeaWNmyN7XFKtH+88eUxFK+apvLyc2AF8GLED4JZnj0tSZEI7b48BoIFwgjIAADAasQMAAIxG7AAAAKMROwAAwGjEDgAAMBqxAwAAjMZXz+GT6nNVW65oCwD4IWIHPqe+V7XlirYAgB8iduBz6nNVW65oCwD4MWIHPour2gIAPIETlAEAgNGIHQAAYDRiBwAAGI3YAQAARiN2AACA0bwaOx988IGGDBmi+Ph42Ww2rVu3zm29ZVl64oknFBcXp9DQUGVkZOiLL75w2+bUqVMaNWqU7Ha7IiIiNH78eJ09e7YR3wUAAPBlXo2dc+fO6c4771R+fv5V1y9cuFBLlizR8uXLVVRUpObNmyszM1MXL150bTNq1Cjt27dPGzdu1Pr16/XBBx/o4Ycfbqy3AAAAfJxXr7MzcOBADRw48KrrLMvS4sWLNXv2bP3rv/6rJOl//ud/FBMTo3Xr1mnkyJE6cOCANmzYoB07dqh79+6SpKVLl2rQoEH6/e9/r/j4+EZ7LwAAwDf57Dk7R48eVUlJiTIyMlzLwsPDlZaWpsLCQklSYWGhIiIiXKEjSRkZGQoICFBRUVGjzwwAAHyPz15BuaSkRJIUExPjtjwmJsa1rqSkRNHR0W7rAwMDFRkZ6drmaqqqqlRVVeW673Q6PTU2AADwMT57ZKchLViwQOHh4a5b69atvT0SAABoID4bO7GxsZKk0tJSt+WlpaWudbGxsSorK3Nbf+XKFZ06dcq1zdXMmDFDlZWVrtvx48c9PD0AAPAVPhs7ycnJio2NVUFBgWuZ0+lUUVGR0tPTJUnp6emqqKhQcXGxa5vNmzerpqZGaWlp13zukJAQ2e12txsAADCTV8/ZOXv2rA4fPuy6f/ToUe3evVuRkZFKSEjQlClT9NRTTyklJUXJycnKy8tTfHy8hg4dKklq3769BgwYoAkTJmj58uW6fPmysrOzNXLkSL6JBQAAJHk5dnbu3Kl7773XdT8nJ0eSNHbsWK1cuVLTp0/XuXPn9PDDD6uiokK9e/fWhg0b1LRpU9djXn/9dWVnZ6tfv34KCAjQ8OHDtWTJkkZ/LwAAwDd5NXb69Okjy7Kuud5ms2n+/PmaP3/+NbeJjIzUqlWrGmI8AABgAJ89ZwcAAMATiB0AAGA0YgcAABiN2AEAAEYjdgAAgNGIHQAAYDRiBwAAGI3YAQAARiN2AACA0YgdAABgNGIHAAAYjdgBAABGI3YAAIDRiB0AAGA0YgcAABiN2AEAAEYjdgAAgNGIHQAAYDRiBwAAGI3YAQAARiN2AACA0YgdAABgNGIHAAAYjdgBAABGI3YAAIDRiB0AAGA0YgcAABiN2AEAAEYjdgAAgNGIHQAAYDRiBwAAGC3Q2wMAAOrG4XCovLy8zo+PiopSQkKCBycCfBOxAwB+yOFwKDW1vS5cOF/n5wgNbaaDBw8QPDAesQMAfqi8vFwXLpxX2rg5sscl1frxzpPHVLRinsrLy4kdGI/YAQA/Zo9LUmRCO2+PAfg0TlAGAABGI3YAAIDRiB0AAGA0YgcAABiN2AEAAEYjdgAAgNGIHQAAYDRiBwAAGI3YAQAARiN2AACA0YgdAABgNGIHAAAYjdgBAABGI3YAAIDRiB0AAGA0YgcAABiN2AEAAEbz6diZO3eubDab2y01NdW1/uLFi8rKylKrVq3UokULDR8+XKWlpV6cGAAA+Bqfjh1J6tixo06ePOm6ffTRR651U6dO1TvvvKM///nP2rZtm06cOKFhw4Z5cVoAAOBrAr09wI0EBgYqNjb2J8srKyv1hz/8QatWrVLfvn0lSa+99prat2+vjz/+WHfffXdjjwoAAHyQzx/Z+eKLLxQfH682bdpo1KhRcjgckqTi4mJdvnxZGRkZrm1TU1OVkJCgwsLC6z5nVVWVnE6n2w0AAJjJp2MnLS1NK1eu1IYNG7Rs2TIdPXpU//zP/6wzZ86opKREwcHBioiIcHtMTEyMSkpKrvu8CxYsUHh4uOvWunXrBnwXAADAm3z6Y6yBAwe6/tylSxelpaUpMTFRb731lkJDQ+v8vDNmzFBOTo7rvtPpJHgAADCUTx/Z+bGIiAjdcccdOnz4sGJjY3Xp0iVVVFS4bVNaWnrVc3x+KCQkRHa73e0GAADM5Fexc/bsWR05ckRxcXHq1q2bgoKCVFBQ4Fp/6NAhORwOpaene3FKAADgS3z6Y6z//M//1JAhQ5SYmKgTJ05ozpw5atKkie6//36Fh4dr/PjxysnJUWRkpOx2uyZOnKj09HS+iQUAAFx8Ona++uor3X///fr222912223qXfv3vr444912223SZIWLVqkgIAADR8+XFVVVcrMzNTLL7/s5akBAIAv8enYWb169XXXN23aVPn5+crPz2+kiQAAgL/xq3N2AAAAaovYAQAARiN2AACA0YgdAABgNGIHAAAYjdgBAABGI3YAAIDRiB0AAGA0YgcAABiN2AEAAEbz6Z+LQP04HA6Vl5fX+fFRUVFKSEjw4EQAADQ+YsdQDodDqantdeHC+To/R2hoMx08eIDgAQD4NWLHUOXl5bpw4bzSxs2RPS6p1o93njymohXzVF5eTuwAAPwasWM4e1ySIhPaeXsMAAC8hhOUAQCA0YgdAABgNGIHAAAYjdgBAABGI3YAAIDRiB0AAGA0YgcAABiN2AEAAEbjooIAgEZXn9/u43f7UFvEDgCgUdX3t/v43T7UFrEDAGhU9fntPn63D3VB7AAAvILf7kNj4QRlAABgNGIHAAAYjdgBAABGI3YAAIDRiB0AAGA0YgcAABiN2AEAAEYjdgAAgNGIHQAAYDRiBwAAGI3YAQAARiN2AACA0YgdAABgNGIHAAAYjdgBAABGI3YAAIDRiB0AAGA0YgcAABiN2AEAAEYL9PYAAAA0JofDofLy8jo9NioqSgkJCR6eCA2N2AEA3DIcDodSU9vrwoXzdXp8aGgzHTx4gODxM8QOAOCWUV5ergsXzitt3BzZ45Jq9VjnyWMqWjFP5eXlXomd+hyRkm7to1LEDgDglmOPS1JkQjtvj3HT6ntESrq1j0oROwAA+Lj6HJGSvH9UytuIHQAA/IS/HZHyFcZ89Tw/P19JSUlq2rSp0tLS9Mknn3h7JAAA4AOMOLLz5ptvKicnR8uXL1daWpoWL16szMxMHTp0SNHR0V6djRPKAADwLiNi58UXX9SECRP00EMPSZKWL1+ud999VytWrNDjjz/utbk4oQwAYAp/vj6R38fOpUuXVFxcrBkzZriWBQQEKCMjQ4WFhV6cjBPKAABm8PfrE/l97JSXl6u6uloxMTFuy2NiYnTw4MGrPqaqqkpVVVWu+5WVlZIkp9Pp0dnOnj0rSbpyqUpXqi7U+vFXLn03Y3Fxseu5btahQ4ckSae+PFSn13aWOOr82tJ3wVlTU1Prx0n1m72+c7Pf6ja3VPfZvbnPvf2/t+Sf+03y37+r/HNS9/124cJ5tfvVb9UsMubGD/iB86dKdWjjKh07dkwRERG1fu3r+f7f25ZlXX9Dy899/fXXliRr+/btbsunTZtm/eIXv7jqY+bMmWNJ4saNGzdu3LgZcDt+/Ph1W8Hvj+xERUWpSZMmKi0tdVteWlqq2NjYqz5mxowZysnJcd2vqanRqVOn1KpVK9lstgad19c4nU61bt1ax48fl91u9/Y4fov96BnsR89gP3oG+9EzGnI/WpalM2fOKD4+/rrb+X3sBAcHq1u3biooKNDQoUMlfRcvBQUFys7OvupjQkJCFBIS4rbM04fW/I3dbucfZg9gP3oG+9Ez2I+ewX70jIbaj+Hh4Tfcxu9jR5JycnI0duxYde/eXb/4xS+0ePFinTt3zvXtLAAAcOsyInb+/d//Xd98842eeOIJlZSUqGvXrtqwYcNPTloGAAC3HiNiR5Kys7Ov+bEVri0kJERz5sz5ycd6qB32o2ewHz2D/egZ7EfP8IX9aLOsG31fCwAAwH8Z89tYAAAAV0PsAAAAoxE7AADAaMQOJEnPPvusbDabpkyZ4u1R/M7XX3+tBx54QK1atVJoaKg6d+6snTt3enssv1JdXa28vDwlJycrNDRUbdu21ZNPPnnjS8Df4j744AMNGTJE8fHxstlsWrdundt6y7L0xBNPKC4uTqGhocrIyNAXX3zhnWF92PX24+XLl5Wbm6vOnTurefPmio+P15gxY3TixAnvDeyjbvT38YceeeQR2Ww2LV68uFFmI3agHTt26L//+7/VpUsXb4/id06fPq1evXopKChIf/3rX7V//3698MILatmypbdH8yvPPfecli1bppdeekkHDhzQc889p4ULF2rp0qXeHs2nnTt3Tnfeeafy8/Ovun7hwoVasmSJli9frqKiIjVv3lyZmZm6ePFiI0/q2663H8+fP69du3YpLy9Pu3bt0po1a3To0CH9+te/9sKkvu1Gfx+/t3btWn388cc3vOqxR3ni96ngv86cOWOlpKRYGzdutH75y19akydP9vZIfiU3N9fq3bu3t8fwe4MHD7bGjRvntmzYsGHWqFGjvDSR/5FkrV271nW/pqbGio2NtZ5//nnXsoqKCiskJMR64403vDChf/jxfryaTz75xJJkffnll40zlB+61n786quvrJ/97GfW3r17rcTERGvRokWNMg9Hdm5xWVlZGjx4sDIyMrw9il/6y1/+ou7du+vf/u3fFB0drbvuukuvvvqqt8fyOz179lRBQYE+//xzSdLf//53ffTRRxo4cKCXJ/NfR48eVUlJids/2+Hh4UpLS1NhYaEXJ/N/lZWVstlst/zPDNVWTU2NRo8erWnTpqljx46N+trGXFQQtbd69Wrt2rVLO3bs8PYofusf//iHli1bppycHM2cOVM7duzQpEmTFBwcrLFjx3p7PL/x+OOPy+l0KjU1VU2aNFF1dbWefvppjRo1ytuj+a2SkhJJ+smV5GNiYlzrUHsXL15Ubm6u7r//fn4vq5aee+45BQYGatKkSY3+2sTOLer48eOaPHmyNm7cqKZNm3p7HL9VU1Oj7t2765lnnpEk3XXXXdq7d6+WL19O7NTCW2+9pddff12rVq1Sx44dtXv3bk2ZMkXx8fHsR/iMy5cva8SIEbIsS8uWLfP2OH6luLhY//Vf/6Vdu3bJZrM1+uvzMdYtqri4WGVlZfqnf/onBQYGKjAwUNu2bdOSJUsUGBio6upqb4/oF+Li4tShQwe3Ze3bt5fD4fDSRP5p2rRpevzxxzVy5Eh17txZo0eP1tSpU7VgwQJvj+a3YmNjJUmlpaVuy0tLS13rcPO+D50vv/xSGzdu5KhOLX344YcqKytTQkKC6985X375pR577DElJSU1+OtzZOcW1a9fP3322Wduyx566CGlpqYqNzdXTZo08dJk/qVXr146dOiQ27LPP/9ciYmJXprIP50/f14BAe7/7dWkSRPV1NR4aSL/l5ycrNjYWBUUFKhr166SJKfTqaKiIj366KPeHc7PfB86X3zxhbZs2aJWrVp5eyS/M3r06J+cG5qZmanRo0froYceavDXJ3ZuUWFhYerUqZPbsubNm6tVq1Y/WY5rmzp1qnr27KlnnnlGI0aM0CeffKJXXnlFr7zyirdH8ytDhgzR008/rYSEBHXs2FGffvqpXnzxRY0bN87bo/m0s2fP6vDhw677R48e1e7duxUZGamEhARNmTJFTz31lFJSUpScnKy8vDzFx8dr6NCh3hvaB11vP8bFxek3v/mNdu3apfXr16u6utp1zlNkZKSCg4O9NbbPudHfxx9HYlBQkGJjY9WuXbuGH65RvvMFv8BXz+vmnXfesTp16mSFhIRYqamp1iuvvOLtkfyO0+m0Jk+ebCUkJFhNmza12rRpY82aNcuqqqry9mg+bcuWLZakn9zGjh1rWdZ3Xz/Py8uzYmJirJCQEKtfv37WoUOHvDu0D7refjx69OhV10mytmzZ4u3RfcqN/j7+WGN+9ZxfPQcAAEbjBGUAAGA0YgcAABiN2AEAAEYjdgAAgNGIHQAAYDRiBwAAGI3YAQAARiN2AACA0YgdAPCwPn36aMqUKd4eA8D/j9gBAABGI3YAAIDRiB0AHtGnTx9NmjRJ06dPV2RkpGJjYzV37lxJ0rFjx2Sz2bR7927X9hUVFbLZbNq6daskaevWrbLZbHr//fd11113KTQ0VH379lVZWZn++te/qn379rLb7frtb3+r8+fP39RMNTU1WrhwoX7+858rJCRECQkJevrpp13rc3Nzdccdd6hZs2Zq06aN8vLydPnyZdf6uXPnqmvXrvrTn/6kpKQkhYeHa+TIkTpz5oxrm3PnzmnMmDFq0aKF4uLi9MILL/xkjpdfflkpKSlq2rSpYmJi9Jvf/KYWexZAfQV6ewAA5vjjH/+onJwcFRUVqbCwUA8++KB69eqllJSUm36OuXPn6qWXXlKzZs00YsQIjRgxQiEhIVq1apXOnj2r++67T0uXLlVubu4Nn2vGjBl69dVXtWjRIvXu3VsnT57UwYMHXevDwsK0cuVKxcfH67PPPtOECRMUFham6dOnu7Y5cuSI1q1bp/Xr1+v06dMaMWKEnn32WVc0TZs2Tdu2bdPbb7+t6OhozZw5U7t27VLXrl0lSTt37tSkSZP0pz/9ST179tSpU6f04Ycf3vT+AOABjfLb6gCM98tf/tLq3bu327IePXpYubm51tGjRy1J1qeffupad/r0aUuStWXLFsuyLGvLli2WJGvTpk2ubRYsWGBJso4cOeJa9rvf/c7KzMy84TxOp9MKCQmxXn311Zt+D88//7zVrVs31/05c+ZYzZo1s5xOp2vZtGnTrLS0NMuyLOvMmTNWcHCw9dZbb7nWf/vtt1ZoaKg1efJky7Is63//938tu93u9hwAGhdHdgB4TJcuXdzux8XFqaysrM7PERMT4/qI6YfLPvnkkxs+z4EDB1RVVaV+/fpdc5s333xTS5Ys0ZEjR3T27FlduXJFdrvdbZukpCSFhYW57v/wPR05ckSXLl1SWlqaa31kZKTatWvnuv+rX/1KiYmJatOmjQYMGKABAwbovvvuU7NmzW74HgB4BufsAPCYoKAgt/s2m001NTUKCPju/2osy3Kt++G5Mdd6DpvNds3nvJHQ0NDrri8sLNSoUaM0aNAgrV+/Xp9++qlmzZqlS5cu3dR7ullhYWHatWuX3njjDcXFxemJJ57QnXfeqYqKipt+DgD1Q+wAaHC33XabJOnkyZOuZT88WbkhpKSkKDQ0VAUFBVddv337diUmJmrWrFnq3r27UlJS9OWXX9bqNdq2baugoCAVFRW5lp0+fVqff/6523aBgYHKyMjQwoULtWfPHh07dkybN2+u/ZsCUCd8jAWgwYWGhuruu+/Ws88+q+TkZJWVlWn27NkN+ppNmzZVbm6upk+fruDgYPXq1UvffPON9u3bp/HjxyslJUUOh0OrV69Wjx499O6772rt2rW1eo0WLVpo/PjxmjZtmlq1aqXo6GjNmjXLdSRLktavX69//OMfuueee9SyZUu99957qqmpcfuoC0DDInYANIoVK1Zo/Pjx6tatm9q1a6eFCxeqf//+DfqaeXl5CgwM1BNPPKETJ04oLi5OjzzyiCTp17/+taZOnars7GxVVVVp8ODBysvLc31d/mY9//zzOnv2rIYMGaKwsDA99thjqqysdK2PiIjQmjVrNHfuXF28eFEpKSl644031LFjR0++VQDXYbN++CE6AACAYThnBwAAGI3YAeCXHA6HWrRocc2bw+Hw9ogAfAQfYwHwS1euXNGxY8euuT4pKUmBgZyWCIDYAQAAhuNjLAAAYDRiBwAAGI3YAQAARiN2AACA0YgdAABgNGIHAAAYjdgBAABGI3YAAIDR/j+xn09DP/r4fQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.histplot(dfs['num_cands'])\n",
    "fig.figure.savefig(\"plots/num_cands.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.jointplot(dfs, x='num_cands', y='avg_ballot_len')\n",
    "fig.figure.savefig(\"plots/num_cands_vs_bal_len.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.histplot(data = df, x = 'bloc_size')\n",
    "fig.figure.savefig(\"plots/block_size.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.violinplot(data = df, x = 'bloc_size', y='method', hue='method')\n",
    "fig.figure.savefig(\"plots/sperm_race.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.histplot(data=df, x = 'num_voters')\n",
    "fig.figure.savefig(\"plots/num_voters.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.histplot(data = dfs, x = 'portion_complete_ballots')\n",
    "fig.figure.savefig(\"plots/portion_complete_ballots.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.histplot(data = dfs, x = 'portion_almost_complete_ballots')\n",
    "fig.figure.savefig(\"plots/portion_almost_complete_ballots.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.jointplot(data = dfs, x = 'portion_almost_complete_ballots', y='num_cands')\n",
    "fig.figure.savefig(\"plots/num_cands_vs_almost_complete.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.boxplot(data=df, x='sil',y='method', hue = 'method')\n",
    "fig.figure.savefig(\"plots/sil.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.boxplot(data=df, x='cal',y='method', hue = 'method')\n",
    "fig.figure.savefig(\"plots/cal.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.boxplot(data=df, x='dav',y='method', hue = 'method')\n",
    "fig.figure.savefig(\"plots/dav.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.violinplot(data=df, x = 'sil', y = 'method', hue = 'method')\n",
    "fig.figure.savefig(\"plots/methd_vs_sil_violin.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='year', ylabel='Count'>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.histplot(dfs,x='year')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2017, 2022, 2012, 2007], dtype=int64)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dfs['year'].unique()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['aberdeen', 'aberdeenshire', 'angus', 'argyll bute', 'dumgal',\n",
       "       'dundee', 'east renfrewshire', 'edinburgh', 'eilean siar',\n",
       "       'falkirk', 'fife', 'glasgow', 'highland', 'moray',\n",
       "       'north ayrshire', 'north lanarkshire', 'renfrewshire',\n",
       "       'south lanarkshire', 'stirling', 'west lothian', 'orkney',\n",
       "       'clackmannanshire', 'east ayrshire', 'east dunbartonshire',\n",
       "       'midlothian', 'sc borders', 'shetland', 'south ayrshire',\n",
       "       'east lothian', 'inverclyde', 'perth kinross',\n",
       "       'west dunbartonshire'], dtype=object)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dfs['location'].unique() # The 32 \"Council Areas\", also called \"Local Authority Areas\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll use the 'method_closeness' column of the dataframe to study how close the clustering methods are to each other."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "compare_methods = pd.DataFrame(index=method_list,columns=method_list)\n",
    "\n",
    "for m1 in method_list:\n",
    "    for m2 in method_list:\n",
    "        running_sum = 0\n",
    "        for index in dfs.index:\n",
    "            D = dfs['method_closeness'][index]\n",
    "            running_sum += D[(m1,m2)]\n",
    "        compare_methods[m1][m2] = running_sum/len(dfs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "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>meanBC</th>\n",
       "      <th>meanBA</th>\n",
       "      <th>meanH</th>\n",
       "      <th>medoBC</th>\n",
       "      <th>medoBA</th>\n",
       "      <th>medoH</th>\n",
       "      <th>slate</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>meanBC</th>\n",
       "      <td>0.000</td>\n",
       "      <td>0.016</td>\n",
       "      <td>0.017</td>\n",
       "      <td>0.070</td>\n",
       "      <td>0.083</td>\n",
       "      <td>0.070</td>\n",
       "      <td>0.160</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>meanBA</th>\n",
       "      <td>0.016</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.004</td>\n",
       "      <td>0.071</td>\n",
       "      <td>0.081</td>\n",
       "      <td>0.070</td>\n",
       "      <td>0.162</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>meanH</th>\n",
       "      <td>0.017</td>\n",
       "      <td>0.004</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.071</td>\n",
       "      <td>0.081</td>\n",
       "      <td>0.069</td>\n",
       "      <td>0.163</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>medoBC</th>\n",
       "      <td>0.070</td>\n",
       "      <td>0.071</td>\n",
       "      <td>0.071</td>\n",
       "      <td>0.023</td>\n",
       "      <td>0.063</td>\n",
       "      <td>0.040</td>\n",
       "      <td>0.175</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>medoBA</th>\n",
       "      <td>0.083</td>\n",
       "      <td>0.081</td>\n",
       "      <td>0.081</td>\n",
       "      <td>0.063</td>\n",
       "      <td>0.016</td>\n",
       "      <td>0.059</td>\n",
       "      <td>0.179</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>medoH</th>\n",
       "      <td>0.070</td>\n",
       "      <td>0.070</td>\n",
       "      <td>0.069</td>\n",
       "      <td>0.040</td>\n",
       "      <td>0.059</td>\n",
       "      <td>0.020</td>\n",
       "      <td>0.170</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>slate</th>\n",
       "      <td>0.160</td>\n",
       "      <td>0.162</td>\n",
       "      <td>0.163</td>\n",
       "      <td>0.175</td>\n",
       "      <td>0.179</td>\n",
       "      <td>0.170</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       meanBC meanBA meanH medoBC medoBA medoH slate\n",
       "meanBC  0.000  0.016 0.017  0.070  0.083 0.070 0.160\n",
       "meanBA  0.016  0.000 0.004  0.071  0.081 0.070 0.162\n",
       "meanH   0.017  0.004 0.000  0.071  0.081 0.069 0.163\n",
       "medoBC  0.070  0.071 0.071  0.023  0.063 0.040 0.175\n",
       "medoBA  0.083  0.081 0.081  0.063  0.016 0.059 0.179\n",
       "medoH   0.070  0.070 0.069  0.040  0.059 0.020 0.170\n",
       "slate   0.160  0.162 0.163  0.175  0.179 0.170 0.000"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.set_option('display.float_format', lambda x: '%.3f' % x)\n",
    "compare_methods"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "compare_methods.to_csv(\"tables/method_closeness.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Jfj/jE/2MTBtK0xz4UwZwKMQAABTnmQEAKE4MAEBxYgAAihMDAFCcGACA4sQAABQnBgCgODEAAMWJAQAoTgwAQHFiAACKEwMAUJwYAIDixAAAFCcGAKA4MQAAxYkBAChODABAcWIAAIoTAwBQ3P8Dak6pYHHBukEAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "projections = MDS(n_components=2, dissimilarity='precomputed').fit_transform(compare_methods)\n",
    "X = np.array([p[0] for p in projections])\n",
    "Y = np.array([p[1] for p in projections])\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.scatter(X,Y, c = ['darkgoldenrod','darkgoldenrod','darkgoldenrod','steelblue','steelblue','steelblue','darkmagenta'])\n",
    "ax.grid(False)\n",
    "ax.axis('off')\n",
    "plt.savefig(\"plots/method_MDS_unlabled\", dpi = 600)\n",
    "plt.show()\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.scatter(X,Y)\n",
    "for count in range(len(method_list)):\n",
    "    ax.annotate(method_list[count], xy=(X[count], Y[count]))\n",
    "ax.grid(False)\n",
    "ax.axis('off')\n",
    "plt.savefig(\"plots/method_MDS_labeled\", dpi = 600)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "# create a dictionary matching party codes to the portion of total Borda points\n",
    "# received by all candidates from that party in all elections.\n",
    "party_to_borda={code:0 for code in party_dict.keys()}\n",
    "filename_list = glob.glob(\"scot-elex/**/*.csv\")\n",
    "\n",
    "for filename in filename_list:\n",
    "    num_cands, election, cand_names, location = csv_parse(filename)\n",
    "    party_list = party_abrevs(cand_names)\n",
    "    for ballot, weight in election.items():\n",
    "        for position in range(len(ballot)):\n",
    "            party = party_list[ballot[position]-1]\n",
    "            party_to_borda[party] += weight*(num_cands-position-1)\n",
    "\n",
    "# scale the values to become percentage of all Borda points\n",
    "total_weight = sum(party_to_borda.values())\n",
    "for code, weight in party_to_borda.items():\n",
    "    party_to_borda[code] = 100*weight/total_weight"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SNP: 28.74765729404872\n",
      "Lab: 23.95570444169389\n",
      "Con: 13.50953205501675\n",
      "Ind: 11.73632225338278\n",
      "LD: 9.697650822488496\n",
      "Gr: 7.249022670196341\n",
      "LabCo: 0.9456701075769515\n",
      "API: 0.563822752349618\n",
      "Soc: 0.5533707283015901\n",
      "Sol: 0.4491702130287654\n",
      "UKIP: 0.39472722068880634\n",
      "SFP: 0.3624418752798889\n",
      "TUSC: 0.3587408834899952\n",
      "Glasgow First: 0.17097708000396458\n",
      "SU: 0.1471126985122634\n",
      "Libtn: 0.1456049296382576\n",
      "SLP: 0.0970089982864339\n",
      "SSC: 0.09473756920469367\n",
      "SC: 0.08901011764668539\n",
      "IANL: 0.07417049767620729\n",
      "WDuns: 0.06980360338589454\n",
      "ISP: 0.06901234100197694\n",
      "Borders: 0.06755172584561739\n",
      "Lib: 0.041804645920088986\n",
      "FA: 0.036243957509854034\n",
      "WEP: 0.032968499269450904\n",
      "NRMUPB: 0.03142162731251895\n",
      "SDP: 0.027334205056060826\n",
      "CICA: 0.02703633157141742\n",
      "BNP: 0.025651622399561605\n",
      "EDIA: 0.023974790196433875\n",
      "Rubbish: 0.02321918062341953\n",
      "Volt: 0.018774080167254466\n",
      "EKA: 0.018453204869125085\n",
      "Pir: 0.016772922393974463\n",
      "CPA: 0.01608516817074375\n",
      "NF: 0.015609030631584024\n",
      "Comm: 0.013730932560453999\n",
      "OMG: 0.013239843842528388\n",
      "Sov: 0.010263409177442959\n",
      "BU: 0.01013229884057289\n",
      "Van: 0.00816909405954475\n",
      "BP: 0.00786662021220415\n",
      "TPP: 0.006709628993859505\n",
      "ScIN: 0.006479610858999734\n",
      "WPB: 0.006150684926150262\n",
      "RISE: 0.005705599835196607\n",
      "MVR: 0.004065570533646443\n",
      "SEFP: 0.0033145613233292927\n"
     ]
    }
   ],
   "source": [
    "# print the parties sorted by total Borda weight\n",
    "\n",
    "def print_sorted(input_dict):\n",
    "    # Sort the dictionary by values\n",
    "    sorted_items = sorted(input_dict.items(), key=lambda item: item[1], reverse=True)\n",
    "    \n",
    "    # Print the sorted dictionary\n",
    "    for key, value in sorted_items:\n",
    "        print(f\"{key}: {value}\")\n",
    "\n",
    "print_sorted(party_to_borda)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "49"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(party_to_borda)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "top_parties = ['SNP', 'Lab', 'Ind', 'Con', 'LD', 'Gr']\n",
    "scores = [party_to_borda[code] for code in top_parties]\n",
    "top_parties.append('other')\n",
    "scores.append(sum(x for x in party_to_borda.values() if x<=1))\n",
    "D = {'SNP':'yellow', 'Lab': 'red', 'Con':'blue','LD':'orange','Gr':'green', \"Ind\":'black', 'other':'white'}\n",
    "colors = [D[party] for party in top_parties]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.pie(scores, labels = top_parties, colors=colors)\n",
    "plt.title('Portion of total Borda points')\n",
    "plt.savefig(\"plots/pie.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create table showing the number of number of total first-place-votes (over all elections)\n",
    "# received by each major party.\n",
    "\n",
    "data_dict = {party_code:0 for party_code in top_parties}\n",
    "filename_list = glob.glob(\"scot-elex/**/*.csv\")\n",
    "\n",
    "for filename in filename_list:\n",
    "    num_cands, election, cand_names, location = csv_parse(filename)\n",
    "    party_list = party_abrevs(cand_names)\n",
    "    for ballot, weight in election.items():\n",
    "        party = party_list[ballot[0]-1]\n",
    "        if party in ['SNP', 'Lab', 'Ind', 'Con', 'LD', 'Gr']:\n",
    "            data_dict[party]+=weight\n",
    "        else:\n",
    "            data_dict['other']+=weight\n",
    "\n",
    "total = sum(data_dict.values())\n",
    "for party in data_dict:\n",
    "    data_dict[party] /= total"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.pie(data_dict.values(), labels = top_parties, colors=colors)\n",
    "#plt.title(\"Portion of first place votes\")\n",
    "plt.title('Portion of fist place votes')\n",
    "plt.savefig(\"plots/pie_2.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "# add a column 'portion_of_graph_covered'\n",
    "def F(n):\n",
    "    return math.floor(np.exp(1)*math.factorial(n)-1)\n",
    "\n",
    "ls = []\n",
    "for count in range(len(df)):\n",
    "    num_cands = df['num_cands'][count]\n",
    "    num_bal = df['num_unique_ballots'][count]\n",
    "    portion = num_bal/F(num_cands)\n",
    "    ls.append(portion)\n",
    "df['portion_of_graph_covered'] = ls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.histplot(data = df, x = 'portion_of_graph_covered')\n",
    "fig.figure.savefig(\"plots/portion_portion_of_graph_covered.jpg\", dpi = 600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = sns.jointplot(data = df, x = 'num_cands', y = 'portion_of_graph_covered')\n",
    "fig.figure.savefig('plots/num_cands_vs_portion_covered.jpg', dpi=600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 nan\n",
      "1 nan\n",
      "2 nan\n",
      "3 0.008598117831063363\n",
      "4 0.009300748501400434\n",
      "5 0.026596452277013908\n",
      "6 0.05073919821196347\n",
      "7 0.06560199490007185\n",
      "8 0.0729682689459772\n",
      "9 0.07062990452593518\n",
      "10 0.0687691370410793\n",
      "11 0.048899711639593925\n",
      "12 0.05545848066503088\n"
     ]
    }
   ],
   "source": [
    "# find the avg portion of graph covered among elections with each choice of num_cands\n",
    "\n",
    "for count in range(13):\n",
    "    d = df[df['num_cands'] == count]\n",
    "    p = np.mean(d['portion_complete_ballots'])\n",
    "    print(count,p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "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>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>SNP</th>\n",
       "      <td>32.000</td>\n",
       "      <td>322.000</td>\n",
       "      <td>658.000</td>\n",
       "      <td>57.000</td>\n",
       "      <td>1.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Lab</th>\n",
       "      <td>166.000</td>\n",
       "      <td>465.000</td>\n",
       "      <td>405.000</td>\n",
       "      <td>34.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Ind</th>\n",
       "      <td>427.000</td>\n",
       "      <td>323.000</td>\n",
       "      <td>153.000</td>\n",
       "      <td>83.000</td>\n",
       "      <td>31.000</td>\n",
       "      <td>25.000</td>\n",
       "      <td>13.000</td>\n",
       "      <td>9.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Con</th>\n",
       "      <td>55.000</td>\n",
       "      <td>867.000</td>\n",
       "      <td>138.000</td>\n",
       "      <td>10.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>LD</th>\n",
       "      <td>332.000</td>\n",
       "      <td>700.000</td>\n",
       "      <td>36.000</td>\n",
       "      <td>2.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Gr</th>\n",
       "      <td>508.000</td>\n",
       "      <td>562.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          0       1       2      3      4      5      6     7\n",
       "SNP  32.000 322.000 658.000 57.000  1.000  0.000  0.000 0.000\n",
       "Lab 166.000 465.000 405.000 34.000  0.000  0.000  0.000 0.000\n",
       "Ind 427.000 323.000 153.000 83.000 31.000 25.000 13.000 9.000\n",
       "Con  55.000 867.000 138.000 10.000  0.000  0.000  0.000 0.000\n",
       "LD  332.000 700.000  36.000  2.000  0.000  0.000  0.000 0.000\n",
       "Gr  508.000 562.000   0.000  0.000  0.000  0.000  0.000 0.000"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create table showing the number of elections in which each major party ran each number of candidates.\n",
    "\n",
    "top_parties = ['SNP', 'Lab', 'Ind', 'Con', 'LD', 'Gr']\n",
    "data = np.zeros((6,11))\n",
    "filename_list = glob.glob(\"scot-elex/**/*.csv\")\n",
    "\n",
    "for filename in filename_list:\n",
    "    num_cands, election, cand_names, location = csv_parse(filename)\n",
    "    party_list = party_abrevs(cand_names)\n",
    "    for party_index in range(len(top_parties)):\n",
    "        party = top_parties[party_index]\n",
    "        count = party_list.count(party)\n",
    "        data[party_index,count] +=1\n",
    "\n",
    "trunc_data = data[:,:8]\n",
    "pf = pd.DataFrame(trunc_data, index = top_parties, columns=range(8))\n",
    "pf.to_csv('tables\\How_many_candidates_does_the_party_run.csv')\n",
    "pf\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Study of Medoids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\ktapp\\AppData\\Local\\Temp\\ipykernel_76972\\2138161301.py:17: 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: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  dfm['pmeds']=ls\n"
     ]
    }
   ],
   "source": [
    "# Next create a new column, pmeds, that contain the Borda medoids with each candidate replaced by her party\n",
    "dfm = df[df['method']=='medoBC']\n",
    "\n",
    "ls = []\n",
    "for index in dfm.index:\n",
    "    medoids = df['centers'][index]\n",
    "    party_names = df['parties'][index]\n",
    "    M = [[],[]]\n",
    "    for n in range(2):\n",
    "        med = medoids[n]\n",
    "        M[n] = [Party_code_and_fullname(party_names[x])[0] for x in med]\n",
    "    if 'SNP' in M[0]:\n",
    "        Dm = {0:tuple(M[0]),1:tuple(M[1])}\n",
    "    else:\n",
    "        Dm = {0:tuple(M[1]),1:tuple(M[0])}\n",
    "    ls.append(Dm)\n",
    "dfm['pmeds']=ls"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Study elections for which slate clustering produces very unequal bloc sizes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test = dfs[(dfs['bloc_size']<.2)]\n",
    "test_files = [( test['num_cands'][index], test['filename'][index], \n",
    "               test['centers'][index], test['clustering'][index])\n",
    "               for index in test.index]\n",
    "len(test_files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0: (2,), 1: (1, 3, 4)}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0: (4,), 1: (1, 2, 3)}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0: (3,), 1: (1, 2, 4)}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0: (2,), 1: (1, 3, 4)}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0: (1,), 1: (2, 3, 4)}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0: (5,), 1: (1, 2, 3, 4)}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0: (1,), 1: (2, 3, 4, 5)}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0: (3,), 1: (1, 2, 4, 5, 6)}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0: (4,), 1: (1, 2, 3, 5, 6)}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0: (2,), 1: (1, 3, 4, 5, 6, 7)}\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for (n, filename, slates, C) in test_files:\n",
    "    print(slates)\n",
    "    Plot_clusters([C[0],C[1]])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.11.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}