Newer
Older
"plt.xlabel('Acceptance rate')\n",
"plt.ylabel('Failure rate')\n",
"plt.legend()\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"### Without unobservables\n",
"\n",
"\n",
"#### Predictive model\n",
"\n",
"First build predictive models to give to cdf function."
"metadata": {
"scrolled": false
},
"outputs": [],
"s_logreg = LogisticRegression(solver=\"lbfgs\")\n",
"\n",
"s_logreg = s_logreg.fit(s_train_labeled.dropna().X.values.reshape(-1, 1),\n",
" s_train_labeled.result_Y.dropna())\n",
"s_test_labeled = s_test_labeled.assign(\n",
" pred_Y=s_logreg.predict_proba(s_test_labeled.X.values.reshape(-1, 1))[:, 0])"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"image/png": 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"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_human = np.zeros(0)\n",
" f_rates_cont = np.append(\n",
" f_rates_cont,\n",
" contraction(s_test_labeled, 'judgeID_J', 'decision_T', 'result_Y',\n",
" 'pred_Y', 'acceptanceRate_R', r / 10))\n",
" f_rates_caus = np.append(\n",
" f_rates_caus,\n",
" np.sum((s_test_labeled.dropna().result_Y == 0)\n",
" & (cdf(s_test_labeled.dropna().X, s_logreg, 0) < r / 10)) /\n",
" # Sort by failure probabilities, subjects with the smallest risk are first.\n",
" s_sorted = s_test.sort_values(by='probabilities_Y',\n",
" inplace=False,\n",
" ascending=True)\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(\n",
" f_rates_true,\n",
" np.sum(s_sorted.result_Y[0:to_release] == 0) / s_sorted.shape[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[\n",
" 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(\n",
" f_rates_human,\n",
" np.sum(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_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",
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [],
"source": [
"test_labeled.to_excel('test_labeled.xlsx', sheet_name='sheet1', index=False)\n",
"s_test_labeled.to_excel('s_test_l.xlsx', sheet_name='sheet1', index=False)"
]
}
],
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"toc_cell": true,
"toc_position": {
"height": "calc(100% - 180px)",
"left": "10px",
"top": "150px",
"width": "300.7px"
},
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