Transformations.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from matplotlib import pyplot\n",
    "import numpy as np\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv('./analysis/BTC.csv')\n",
    "df.drop(columns='Unnamed: 0', inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.rename(index=str, columns={\"votes_disliked\": \"dislike\",\n",
    "                              \"votes_important\": \"important\",\n",
    "                              \"votes_liked\": \"liked\",\n",
    "                              \"votes_lol\": \"lol\",\n",
    "                              \"votes_negative\": \"bearish\",\n",
    "                              \"votes_positive\": \"bullish\",\n",
    "                              \"votes_saved\": \"saved\",\n",
    "                              \"votes_toxic\": \"toxic\"})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['user_sent_opinions'] = df['bearish'] + df['bullish']\n",
    "\n",
    "df['bullishness'] = ((df['bullish'] / df['user_sent_opinions']) * 100)\n",
    "\n",
    "df['bearishness'] = -((df['bearish'] / df['user_sent_opinions']) * 100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bullish Transformation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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GuiQ1wkCXpEYY6JLUCANdkhphoEtSIwx0SWrEwLFcpNlatuqKcZcgPS3ZQpekRhjoktQIA12SGmGgS1IjvCjaqEEXJtefvmIrVSLNjv93584WuiQ1wkCXpEYY6JLUCPvQJW11Pny2MGyhS1IjDHRJaoSBLkmNMNAlqREGuiQ1wkCXpEYY6JLUCANdkhrhg0WStimjPJQ0ysBe4zrubNhCl6RGGOiS1AgDXZIaYR/6GDmQv7R1tT4omC10SWrESIGe5MgktyW5I8mq+SpKkjR7cw70JEuAzwCvBQ4E3pTkwPkqTJI0O6O00A8F7qiqO6vqF8D5wDHzU5YkabZSVXPbMDkOOLKqTu7mTwB+u6pOmbTeSmBlN3sAcNsca90NuHeO2z5deI5m5vkZzHM0s3GdnxdW1cSglUa5yyVTLHvKu0NVnQmcOcJxegdL1lTV8lH30zLP0cw8P4N5jma22M/PKF0uG4C9++aXAnePVo4kaa5GCfT/BPZPsm+SHYDjgcvmpyxJ0mzNuculqh5LcgrwFWAJcE5VrZ23yp5q5G6bpwHP0cw8P4N5jma2qM/PnC+KSpIWF58UlaRGGOiS1IhtItAdYmB6Sc5JsinJd8Zdy2KVZO8k1yRZl2RtklPHXdNikmTHJDckubU7Px8Yd02LUZIlSW5Ocvm4a5nOog90hxgY6LPAkeMuYpF7DHh3Vb0EOAx4p/+HnuRR4IiqOgg4GDgyyWFjrmkxOhVYN+4iZrLoAx2HGJhRVX0d+Om461jMquqeqrqpm36Q3i/lXuOtavGonoe62e27L++W6JNkKbACOGvctcxkWwj0vYAf9c1vwF9GzVGSZcAhwPXjrWRx6boTbgE2AVdWlefnyT4BvAd4YtyFzGRbCPShhhiQBkmyE3Ax8K6qemDc9SwmVfV4VR1M74nvQ5P8+rhrWiySvA7YVFU3jruWQbaFQHeIAY0syfb0wvxzVfWFcdezWFXV/cC1eF2m3+HA0UnW0+vyPSLJueMtaWrbQqA7xIBGkiTA2cC6qvrYuOtZbJJMJNmlm34W8Grge+OtavGoqvdV1dKqWkYvf66uqreOuawpLfpAr6rHgC1DDKwDLlzgIQa2KUnOA64DDkiyIclJ465pETocOIFey+qW7uuocRe1iOwJXJPkW/QaUFdW1aK9NU/T89F/SWrEom+hS5KGY6BLUiMMdElqhIEuSY0w0CWpEQa6JDXCQJekRvwvLXvD9S1C8ZoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in [1, 2, 3, 4, 5]:\n",
    "    pyplot.hist((df['bullish'])**(1/i), bins = 40)\n",
    "    pyplot.title(\"Bullish Transformation: 1/{}\".format(str(i)))\n",
    "    pyplot.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bearish Transformation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in [1, 2, 3, 4, 5]:\n",
    "    pyplot.hist((df['bearish'])**(1/i), bins = 40)\n",
    "    pyplot.title(\"Bearish Transformation: 1/{}\".format(str(i)))\n",
    "    pyplot.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### User Generated Opinions Transformation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in [1, 2, 3, 4, 5]:\n",
    "    pyplot.hist((df['user_sent_opinions'])**(1/i), bins = 40)\n",
    "    pyplot.title(\"User Generated Opinions Transformation: 1/{}\".format(str(i)))\n",
    "    pyplot.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:anaconda3]",
   "language": "python",
   "name": "conda-env-anaconda3-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}