4_Stellar_Scatter_Plots.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Stellar Scatter Plots\n",
    "Stellar effective temperature, surface gravity, metallicity, radius, mass, should comprise a consistent set. Associated error estimates are 1-σ uncertainties."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "# Python imports and settings\n",
    "import numpy  as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import scipy.stats\n",
    "import re\n",
    "from pydash import py_ as _\n",
    "from sklearn.preprocessing import OneHotEncoder\n",
    "\n",
    "from src.dataset_koi import koi, koi_columns, koi_column_types\n",
    "from src.utilities import onehot_encode_comments\n",
    "\n",
    "# https://stackoverflow.com/questions/11707586/how-do-i-expand-the-output-display-to-see-more-columns-of-a-pandas-dataframe\n",
    "pd.set_option('display.max_columns', None)  \n",
    "pd.set_option('display.expand_frame_repr', False)\n",
    "pd.set_option('max_colwidth', -1)\n",
    "pd.set_option('display.max_rows', 8)  # 8 is required for .describe()\n",
    "\n",
    "sns.set(rc={'figure.figsize':(20,20)})\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# cmap = sns.color_palette(\"YlOrRd_r\", 10)\n",
    "# sns.set_palette(cmap)\n",
    "# sns.palplot(cmap)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>koi_disposition</th>\n",
       "      <th>koi_steff</th>\n",
       "      <th>koi_slogg</th>\n",
       "      <th>koi_smet</th>\n",
       "      <th>koi_srad</th>\n",
       "      <th>koi_smass</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>kepoi_name</th>\n",
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       "      <td>K05834.01</td>\n",
       "      <td>CANDIDATE</td>\n",
       "      <td>6095.0</td>\n",
       "      <td>4.429</td>\n",
       "      <td>0.14</td>\n",
       "      <td>1.082</td>\n",
       "      <td>1.150</td>\n",
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       "      <td>CANDIDATE</td>\n",
       "      <td>5751.0</td>\n",
       "      <td>4.458</td>\n",
       "      <td>-0.02</td>\n",
       "      <td>0.958</td>\n",
       "      <td>0.962</td>\n",
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       "    <tr>\n",
       "      <td>K04653.01</td>\n",
       "      <td>CANDIDATE</td>\n",
       "      <td>6392.0</td>\n",
       "      <td>4.399</td>\n",
       "      <td>0.07</td>\n",
       "      <td>1.162</td>\n",
       "      <td>1.232</td>\n",
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       "    <tr>\n",
       "      <td>K03168.01</td>\n",
       "      <td>CANDIDATE</td>\n",
       "      <td>5843.0</td>\n",
       "      <td>4.086</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>1.471</td>\n",
       "      <td>0.963</td>\n",
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       "    <tr>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "    <tr>\n",
       "      <td>K03842.01</td>\n",
       "      <td>FALSE POSITIVE</td>\n",
       "      <td>4509.0</td>\n",
       "      <td>4.612</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>0.663</td>\n",
       "      <td>0.656</td>\n",
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       "    <tr>\n",
       "      <td>K07811.01</td>\n",
       "      <td>FALSE POSITIVE</td>\n",
       "      <td>5724.0</td>\n",
       "      <td>4.530</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>0.827</td>\n",
       "      <td>0.845</td>\n",
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       "      <td>K03849.01</td>\n",
       "      <td>FALSE POSITIVE</td>\n",
       "      <td>3569.0</td>\n",
       "      <td>4.820</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.427</td>\n",
       "      <td>0.439</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>K07989.01</td>\n",
       "      <td>FALSE POSITIVE</td>\n",
       "      <td>6469.0</td>\n",
       "      <td>4.385</td>\n",
       "      <td>0.07</td>\n",
       "      <td>1.193</td>\n",
       "      <td>1.260</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>9564 rows × 6 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           koi_disposition  koi_steff  koi_slogg  koi_smet  koi_srad  koi_smass\n",
       "kepoi_name                                                                     \n",
       "K05834.01   CANDIDATE       6095.0     4.429      0.14      1.082     1.150    \n",
       "K02206.01   CANDIDATE       5751.0     4.458     -0.02      0.958     0.962    \n",
       "K04653.01   CANDIDATE       6392.0     4.399      0.07      1.162     1.232    \n",
       "K03168.01   CANDIDATE       5843.0     4.086     -0.20      1.471     0.963    \n",
       "...               ...          ...       ...       ...        ...       ...    \n",
       "K03842.01   FALSE POSITIVE  4509.0     4.612     -0.16      0.663     0.656    \n",
       "K07811.01   FALSE POSITIVE  5724.0     4.530     -0.38      0.827     0.845    \n",
       "K03849.01   FALSE POSITIVE  3569.0     4.820      0.00      0.427     0.439    \n",
       "K07989.01   FALSE POSITIVE  6469.0     4.385      0.07      1.193     1.260    \n",
       "\n",
       "[9564 rows x 6 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dataset = (\n",
    "    pd.DataFrame.join(\n",
    "        koi['archive'][['koi_disposition']], \n",
    "        koi['stellar']\n",
    "    )\n",
    "    .drop(columns='koi_sparprov')\n",
    "    .sort_values(by='koi_disposition')\n",
    ")\n",
    "dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Correlation with Laws of Physics\n",
    "\n",
    "- koi_steff  - Stellar Effective Temperature (Kelvin) - The photospheric temperature of the star.\n",
    "- koi_slogg  - Stellar Surface Gravity (log10(cm s-2)) - The base-10 logarithm of the acceleration due to gravity at the surface of the star\n",
    "- koi_smet   - Stellar Metallicity - The base-10 logarithm of the Fe to H ratio at the surface of the star, normalized by the solar Fe to H ratio\n",
    "- koi_srad   - Stellar Radius (solar radii) - The photospheric radius of the star\n",
    "- koi_smass  - Stellar Mass (solar mass) - The mass of the star"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "ALL\n"
     ]
    },
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       "        }</style><table id=\"T_d9817264_4083_11ea_8163_406c8f30d205\" ><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >koi_steff</th>        <th class=\"col_heading level0 col1\" >koi_slogg</th>        <th class=\"col_heading level0 col2\" >koi_smet</th>        <th class=\"col_heading level0 col3\" >koi_srad</th>        <th class=\"col_heading level0 col4\" >koi_smass</th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_d9817264_4083_11ea_8163_406c8f30d205level0_row0\" class=\"row_heading level0 row0\" >koi_steff</th>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row0_col0\" class=\"data row0 col0\" >1</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row0_col1\" class=\"data row0 col1\" >-0.14</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row0_col2\" class=\"data row0 col2\" >-0.03</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row0_col3\" class=\"data row0 col3\" >-0.12</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row0_col4\" class=\"data row0 col4\" >0.59</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d9817264_4083_11ea_8163_406c8f30d205level0_row1\" class=\"row_heading level0 row1\" >koi_slogg</th>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row1_col0\" class=\"data row1 col0\" >-0.14</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row1_col1\" class=\"data row1 col1\" >1</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row1_col2\" class=\"data row1 col2\" >-0.05</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row1_col3\" class=\"data row1 col3\" >-0.64</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row1_col4\" class=\"data row1 col4\" >-0.69</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d9817264_4083_11ea_8163_406c8f30d205level0_row2\" class=\"row_heading level0 row2\" >koi_smet</th>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row2_col0\" class=\"data row2 col0\" >-0.03</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row2_col1\" class=\"data row2 col1\" >-0.05</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row2_col2\" class=\"data row2 col2\" >1</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row2_col3\" class=\"data row2 col3\" >0.01</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row2_col4\" class=\"data row2 col4\" >0.24</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d9817264_4083_11ea_8163_406c8f30d205level0_row3\" class=\"row_heading level0 row3\" >koi_srad</th>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row3_col0\" class=\"data row3 col0\" >-0.12</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row3_col1\" class=\"data row3 col1\" >-0.64</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row3_col2\" class=\"data row3 col2\" >0.01</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row3_col3\" class=\"data row3 col3\" >1</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row3_col4\" class=\"data row3 col4\" >0.32</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d9817264_4083_11ea_8163_406c8f30d205level0_row4\" class=\"row_heading level0 row4\" >koi_smass</th>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row4_col0\" class=\"data row4 col0\" >0.59</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row4_col1\" class=\"data row4 col1\" >-0.69</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row4_col2\" class=\"data row4 col2\" >0.24</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row4_col3\" class=\"data row4 col3\" >0.32</td>\n",
       "                        <td id=\"T_d9817264_4083_11ea_8163_406c8f30d205row4_col4\" class=\"data row4 col4\" >1</td>\n",
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       "        }    #T_d989a89e_4083_11ea_8163_406c8f30d205row4_col1 {\n",
       "            background-color:  #fdf5fa;\n",
       "            color:  #000000;\n",
       "        }    #T_d989a89e_4083_11ea_8163_406c8f30d205row4_col2 {\n",
       "            background-color:  #6fa7ce;\n",
       "            color:  #000000;\n",
       "        }    #T_d989a89e_4083_11ea_8163_406c8f30d205row4_col3 {\n",
       "            background-color:  #045b8e;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_d989a89e_4083_11ea_8163_406c8f30d205row4_col4 {\n",
       "            background-color:  #023858;\n",
       "            color:  #f1f1f1;\n",
       "        }</style><table id=\"T_d989a89e_4083_11ea_8163_406c8f30d205\" ><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >koi_steff</th>        <th class=\"col_heading level0 col1\" >koi_slogg</th>        <th class=\"col_heading level0 col2\" >koi_smet</th>        <th class=\"col_heading level0 col3\" >koi_srad</th>        <th class=\"col_heading level0 col4\" >koi_smass</th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_d989a89e_4083_11ea_8163_406c8f30d205level0_row0\" class=\"row_heading level0 row0\" >koi_steff</th>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row0_col0\" class=\"data row0 col0\" >1</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row0_col1\" class=\"data row0 col1\" >-0.58</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row0_col2\" class=\"data row0 col2\" >0.08</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row0_col3\" class=\"data row0 col3\" >0.36</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row0_col4\" class=\"data row0 col4\" >0.81</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d989a89e_4083_11ea_8163_406c8f30d205level0_row1\" class=\"row_heading level0 row1\" >koi_slogg</th>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row1_col0\" class=\"data row1 col0\" >-0.58</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row1_col1\" class=\"data row1 col1\" >1</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row1_col2\" class=\"data row1 col2\" >-0.29</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row1_col3\" class=\"data row1 col3\" >-0.83</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row1_col4\" class=\"data row1 col4\" >-0.8</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d989a89e_4083_11ea_8163_406c8f30d205level0_row2\" class=\"row_heading level0 row2\" >koi_smet</th>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row2_col0\" class=\"data row2 col0\" >0.08</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row2_col1\" class=\"data row2 col1\" >-0.29</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row2_col2\" class=\"data row2 col2\" >1</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row2_col3\" class=\"data row2 col3\" >0.24</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row2_col4\" class=\"data row2 col4\" >0.37</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d989a89e_4083_11ea_8163_406c8f30d205level0_row3\" class=\"row_heading level0 row3\" >koi_srad</th>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row3_col0\" class=\"data row3 col0\" >0.36</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row3_col1\" class=\"data row3 col1\" >-0.83</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row3_col2\" class=\"data row3 col2\" >0.24</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row3_col3\" class=\"data row3 col3\" >1</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row3_col4\" class=\"data row3 col4\" >0.76</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d989a89e_4083_11ea_8163_406c8f30d205level0_row4\" class=\"row_heading level0 row4\" >koi_smass</th>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row4_col0\" class=\"data row4 col0\" >0.81</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row4_col1\" class=\"data row4 col1\" >-0.8</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row4_col2\" class=\"data row4 col2\" >0.37</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row4_col3\" class=\"data row4 col3\" >0.76</td>\n",
       "                        <td id=\"T_d989a89e_4083_11ea_8163_406c8f30d205row4_col4\" class=\"data row4 col4\" >1</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x12b4e80d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "CONFIRMED / ALL\n"
     ]
    },
    {
     "data": {
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       "            background-color:  #3b92c1;\n",
       "            color:  #000000;\n",
       "        }    #T_d9929008_4083_11ea_8163_406c8f30d205row4_col1 {\n",
       "            background-color:  #faf3f9;\n",
       "            color:  #000000;\n",
       "        }    #T_d9929008_4083_11ea_8163_406c8f30d205row4_col2 {\n",
       "            background-color:  #d9d8ea;\n",
       "            color:  #000000;\n",
       "        }    #T_d9929008_4083_11ea_8163_406c8f30d205row4_col3 {\n",
       "            background-color:  #cdd0e5;\n",
       "            color:  #000000;\n",
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       "            background-color:  #fff7fb;\n",
       "            color:  #000000;\n",
       "        }</style><table id=\"T_d9929008_4083_11ea_8163_406c8f30d205\" ><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >koi_steff</th>        <th class=\"col_heading level0 col1\" >koi_slogg</th>        <th class=\"col_heading level0 col2\" >koi_smet</th>        <th class=\"col_heading level0 col3\" >koi_srad</th>        <th class=\"col_heading level0 col4\" >koi_smass</th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_d9929008_4083_11ea_8163_406c8f30d205level0_row0\" class=\"row_heading level0 row0\" >koi_steff</th>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row0_col0\" class=\"data row0 col0\" >1</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row0_col1\" class=\"data row0 col1\" >4.16</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row0_col2\" class=\"data row0 col2\" >-2.95</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row0_col3\" class=\"data row0 col3\" >-3.08</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row0_col4\" class=\"data row0 col4\" >1.38</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d9929008_4083_11ea_8163_406c8f30d205level0_row1\" class=\"row_heading level0 row1\" >koi_slogg</th>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row1_col0\" class=\"data row1 col0\" >4.16</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row1_col1\" class=\"data row1 col1\" >1</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row1_col2\" class=\"data row1 col2\" >5.51</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row1_col3\" class=\"data row1 col3\" >1.29</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row1_col4\" class=\"data row1 col4\" >1.15</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d9929008_4083_11ea_8163_406c8f30d205level0_row2\" class=\"row_heading level0 row2\" >koi_smet</th>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row2_col0\" class=\"data row2 col0\" >-2.95</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row2_col1\" class=\"data row2 col1\" >5.51</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row2_col2\" class=\"data row2 col2\" >1</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row2_col3\" class=\"data row2 col3\" >18.05</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row2_col4\" class=\"data row2 col4\" >1.55</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d9929008_4083_11ea_8163_406c8f30d205level0_row3\" class=\"row_heading level0 row3\" >koi_srad</th>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row3_col0\" class=\"data row3 col0\" >-3.08</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row3_col1\" class=\"data row3 col1\" >1.29</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row3_col2\" class=\"data row3 col2\" >18.05</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row3_col3\" class=\"data row3 col3\" >1</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row3_col4\" class=\"data row3 col4\" >2.41</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d9929008_4083_11ea_8163_406c8f30d205level0_row4\" class=\"row_heading level0 row4\" >koi_smass</th>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row4_col0\" class=\"data row4 col0\" >1.38</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row4_col1\" class=\"data row4 col1\" >1.15</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row4_col2\" class=\"data row4 col2\" >1.55</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row4_col3\" class=\"data row4 col3\" >2.41</td>\n",
       "                        <td id=\"T_d9929008_4083_11ea_8163_406c8f30d205row4_col4\" class=\"data row4 col4\" >1</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x12c4d5c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print()\n",
    "print('ALL')\n",
    "display(\n",
    "    dataset.corr()\n",
    "        .apply(lambda x: round(x,2))\n",
    "        .style.background_gradient()\n",
    ")\n",
    "print()\n",
    "print('CONFIRMED')\n",
    "display(\n",
    "    dataset[ dataset['koi_disposition'] == 'CONFIRMED' ].corr()\n",
    "        .apply(lambda x: round(x,2))\n",
    "        .style.background_gradient()\n",
    ")\n",
    "print()\n",
    "print(disposition + ' / ALL')\n",
    "display(\n",
    "    dataset[ dataset['koi_disposition'] == 'CONFIRMED' ].corr()\n",
    "        .divide( dataset.corr() )\n",
    "        .apply(lambda x: round(x,2))\n",
    "        .style.background_gradient()\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Observations:\n",
    "- As expected by the laws of physics (more fuel = hotter and bigger)\n",
    "  - Stellar Mass (koi_smass) is strongly correlated with Surface Temperature (koi_steff)\n",
    "  - Stellar Mass (koi_smass) is also correlated with Metallicity (koi_smet) and Radius (koi_srad)\n",
    "  - Radius (koi_srad) - and by extension Stellar Mass - is anti-correlated with log10 Surface Gravity (koi_slogg) \n",
    "  \n",
    "  \n",
    "- Dividing correlations going from ALL -> CONFIRMED:\n",
    "  - Mass/Radius = increases in correlation\n",
    "  - Metallicity/Radius = uncorrelated for ALL | correlated for CONFIRMED\n",
    "  - Metallicity/Gravity + Temperature/Gravity = increase in anti-correlatedness \n",
    "  - Temperature/Radius + Temperature/Metallicity = anti-correlated for ALL | correlated for CONFIRMED"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Disposition Scatter Plots\n",
    "\n",
    "- The database of CONFIRMED KOI's may not reflect the true distribution of exoplanets, but also suffers from the selection effects of the transit method of detection"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Stellar Mass vs Radius - increases in correlation\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1161.23x360 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print('Stellar Mass vs Radius - increases in correlation')\n",
    "facetgrid = sns.relplot(\n",
    "    data=dataset,    \n",
    "    kind=\"scatter\",\n",
    "    col=\"koi_disposition\", \n",
    "    col_order=['CONFIRMED', 'CANDIDATE', 'FALSE POSITIVE'],\n",
    "\n",
    "    x=\"koi_smass\",     \n",
    "    y=\"koi_srad\",\n",
    "    size=\"koi_srad\", sizes=(10,240),\n",
    "\n",
    "    hue=\"koi_steff\", palette=\"YlOrRd_r\",\n",
    "\n",
    ").set_axis_labels(\"Stellar Mass (solar mass)\", \"Radius (solar radii)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Observations:\n",
    "- Keplar has had most luck finding explanets around:\n",
    "    - Lower mass stars (< 2 solar masses)\n",
    "    - Lower temperature stars\n",
    "    - Red Dwarfs + Main Sequence Stars but not Red Giants\n",
    "    \n",
    "    \n",
    "- Possible explanations:\n",
    "    - Red Giants may have gobbled up many of their planets (less exoplanets to be found)\n",
    "    - Hot, large, bright stars reduce the relative dimming of a transit (exoplanets are harder to see)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Metallicity vs Radius - correlated for CONFIRMED - uncorrelated for ALL\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x12e407c10>"
      ]
     },
     "execution_count": 114,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1161.23x360 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print('Metallicity vs Radius - correlated for CONFIRMED - uncorrelated for ALL')\n",
    "sns.relplot(\n",
    "    data=dataset,    \n",
    "    kind=\"scatter\",\n",
    "    col=\"koi_disposition\", \n",
    "    col_order=['CONFIRMED', 'CANDIDATE', 'FALSE POSITIVE'],\n",
    "    \n",
    "    x=\"koi_smet\",     \n",
    "    y=\"koi_srad\",\n",
    "    size=\"koi_srad\", sizes=(10,240),\n",
    "    \n",
    "    hue=\"koi_steff\", palette=\"YlOrRd_r\",\n",
    ").set_axis_labels(\"Metallicity (log10(Fe/H))\", \"Radius (solar radii)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Observations:\n",
    "\n",
    "- Exoplanets are found more often around high-metalicity stars (more material for rocky planets)\n",
    "- Large Red Giants have a minimum metalicity threshold (nuclear astrophysics)    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Temperature vs Radius - anti-correlated for ALL | correlated for CONFIRMED\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x12f833d10>"
      ]
     },
     "execution_count": 123,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1161.23x360 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print('Temperature vs Radius - anti-correlated for ALL | correlated for CONFIRMED')\n",
    "sns.relplot(\n",
    "    data=dataset,    \n",
    "    kind=\"scatter\",\n",
    "    col=\"koi_disposition\", \n",
    "    col_order=['CONFIRMED', 'CANDIDATE', 'FALSE POSITIVE'],\n",
    "    \n",
    "    x=\"koi_steff\",     \n",
    "    y=\"koi_srad\",\n",
    "    size=\"koi_srad\", sizes=(10,240),\n",
    "    \n",
    "    hue=\"koi_steff\", palette=\"YlOrRd_r\",\n",
    ").set_axis_labels(\"Temperature (Kelvin)\", \"Radius (solar radii)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Observations:\n",
    "\n",
    "- Exoplanets are found more often around small low-temperature stars"
   ]
  }
 ],
 "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}