Newer
Older
"### Without unobservables\n",
"\n",
"\n",
"#### Predictive model\n"
]
},
{
"cell_type": "code",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1\n",
"2\n",
"3\n",
"4\n",
"5\n",
"6\n",
"7\n",
"8\n"
"image/png": "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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"f_rates_cont = np.zeros(0)\n",
"#f_rates_caus = np.zeros(0)\n",
"x_vals = np.arange(1, 9) / 10\n",
" f_rates_cont = np.append(f_rates_cont,\n",
" contraction(s_train_labeled, 'judgeID_J', 'decision_T', 'result_Y',\n",
" 'probabilities_Y', 'acceptanceRate_R', r / 10))\n",
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
" print(r)\n",
" #f_rates_caus = np.append(f_rates_caus, \n",
" # np.mean((s_train.result_Y[s_train.decision_T==1] == 0) & (cdf(s_train.X[s_train.decision_T==1], logreg, 0) < r/10)))\n",
" \n",
"plt.plot(x_vals, f_rates_cont, label=\"Contraction\")\n",
"plt.plot(x_vals, f_rates_caus, label=\"Causal\")\n",
"plt.title('Failure rate vs. Acceptance rate, simple data')\n",
"plt.xlabel('Acceptance rate')\n",
"plt.ylabel('Failure rate')\n",
"plt.legend()\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"f_rates_true = np.zeros(0)\n",
"f_rates_labeled = np.zeros(0)\n",
"f_rates_human = np.zeros(0)\n",
"\n",
"for r in range(1, 9):\n",
" #### True evaluation\n",
" # Sort by failure probabilities, subjects with the smallest risk are first. \n",
" s_sorted = s_test.sort_values(by='probabilities_Y', inplace=False, ascending=False)\n",
"\n",
" to_release = int(round(s_sorted.shape[0] * r / 10))\n",
"\n",
" # Calculate failure rate as the ratio of failures to successes among those \n",
" # who were given a positive decision, i.e. those whose probability of negative\n",
" # outcome was low enough.\n",
" f_rates_true = np.append(f_rates_true, np.mean(s_sorted.result_Y[0:to_release] == 0))\n",
" \n",
" #### Labeled outcomes only\n",
" # Sort by failure probabilities, subjects with the smallest risk are first. \n",
" s_test_labeled.sort_values(by='probabilities_Y', inplace=True, ascending=False)\n",
" \n",
" to_release = int(round(s_test_labeled[s_test_labelead.decision_T==1].shape[0] * r / 10))\n",
"\n",
" f_rates_labeled = np.append(f_rates_labeled, np.mean(s_test_labeled.result_Y[0:to_release] == 0))\n",
" \n",
" #### Human error rate\n",
" # Get judges with correct leniency as list\n",
" correct_leniency_list = s_test_labeled.judgeID_J[\n",
" s_test_labeled['acceptanceRate_R'].round(1) == r / 10].values\n",
"\n",
" # Released are the people they judged and released, T = 1\n",
" released = s_test_labeled[s_test_labeled.judgeID_J.isin(correct_leniency_list)\n",
" & (s_test_labeled.decision_T == 1)]\n",
" # Get their failure rate, aka ratio of reoffenders to number of people judged in total\n",
" f_rates_human = np.append(f_rates_human, np.sum(\n",
" released.result_Y == 0) / correct_leniency_list.shape[0])\n",
" \n",
"plt.plot(x_vals, f_rates_cont, label=\"Contraction\")\n",
"plt.plot(x_vals, f_rates_caus, label=\"Causal\")\n",
"plt.plot(x_vals, f_rates_true, label=\"True evaluation\")\n",
"plt.plot(x_vals, f_rates_labeled, label=\"Labeled outcomes\")\n",
"plt.plot(x_vals, f_rates_human, label=\"Human evaluation\")\n",
"plt.title('Failure rate vs. Acceptance rate, simple data')\n",
"plt.xlabel('Acceptance rate')\n",
"plt.ylabel('Failure rate')\n",
"plt.legend()\n",
"plt.grid()\n",
"plt.show()"
]
}
],
"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",
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": true,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": true,
"toc_position": {
"height": "calc(100% - 180px)",
"left": "10px",
"top": "150px",
"width": "300.7px"
},
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
},
"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()) "
}
},
"position": {
"height": "352.85px",
"left": "1070px",
"right": "20px",
"top": "120px",
"width": "350px"
},