{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"2022-01-21-stat-visuals.ipynb","provenance":[{"file_id":"https://github.com/recohut/nbs/blob/main/raw/T140754%20%7C%20Cool%20Statistics%20Visuals.ipynb","timestamp":1644658302377}],"collapsed_sections":[],"mount_file_id":"1480vcdbF3tcLqAcFcUwQf8gHpLsIY2U7","authorship_tag":"ABX9TyNKAsOqBUiQlioVyjkCSeVP"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","source":["# Cool Statistics Visuals"],"metadata":{"id":"DCyyb_ltReku"}},{"cell_type":"markdown","metadata":{"id":"2yYVH1a_5snY"},"source":["## Confidence Intervals"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":297},"id":"Q69YimQY5tgH","executionInfo":{"status":"ok","timestamp":1630845664328,"user_tz":-330,"elapsed":713,"user":{"displayName":"Sparsh Agarwal","photoUrl":"","userId":"13037694610922482904"}},"outputId":"2100db2c-cb17-4fed-d9d8-efdea445977e"},"source":["import pandas as pd\n","import numpy as np\n","from sklearn.utils import resample\n","import matplotlib.pylab as plt\n","\n","np.random.seed(seed=3)\n","\n","loans_income = pd.read_csv('./data/bronze/stats/loans_income.csv', squeeze=True)\n","\n","# create a sample of 20 loan income data\n","sample20 = resample(loans_income, n_samples=20, replace=False)\n","\n","results = []\n","for nrepeat in range(500):\n"," sample = resample(sample20)\n"," results.append(sample.mean())\n","results = pd.Series(results)\n","\n","confidence_interval = list(results.quantile([0.05, 0.95]))\n","ax = results.plot.hist(bins=30, figsize=(6, 4), color='C1')\n","ax.plot(confidence_interval, [55, 55], color='black', linestyle='--')\n","for x in confidence_interval:\n"," ax.plot([x, x], [0, 60], color='black')\n","ax.text(82000, 50, \n"," f'90% CI\\n[{confidence_interval[0]:.0f}, {confidence_interval[1]:.0f}]',\n"," fontsize='small')\n","\n","confidence_interval = list(results.quantile([0.025, 0.975]))\n","ax = results.plot.hist(bins=30, figsize=(6, 4))\n","ax.plot(confidence_interval, [65, 65], color='black', linestyle='--')\n","for x in confidence_interval:\n"," ax.plot([x, x], [0, 70], color='black')\n","ax.text(82000, 65, \n"," f'95% CI\\n[{confidence_interval[0]:.0f}, {confidence_interval[1]:.0f}]',\n"," fontsize='small')\n","# ax.text(sum(confidence_interval) / 2, 264, '95 % interval',\n","# horizontalalignment='center', verticalalignment='center')\n","\n","meanIncome = results.mean()\n","ax.plot([meanIncome, meanIncome], [0, 50], color='black', linestyle='--')\n","ax.text(meanIncome, 5, f'Mean: {meanIncome:.0f}',\n"," bbox=dict(facecolor='white', edgecolor='white', alpha=0.5),\n"," horizontalalignment='center', verticalalignment='center')\n","ax.set_ylim(0, 80)\n","ax.set_xlim(37000, 102000)\n","ax.set_xticks([40000, 50000, 60000, 70000, 80000])\n","ax.set_ylabel('Counts')\n","\n","plt.tight_layout()\n","plt.show()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"E4RU6Fz_6dGV"},"source":["## Recursive Partitioning Algorithm"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":297},"id":"vA_ZgxF0_LpQ","executionInfo":{"status":"ok","timestamp":1630845959729,"user_tz":-330,"elapsed":794,"user":{"displayName":"Sparsh Agarwal","photoUrl":"","userId":"13037694610922482904"}},"outputId":"7ee040f5-8844-4102-e034-fae0875afa0d"},"source":["import pandas as pd\n","import matplotlib.pylab as plt\n","\n","loan3000 = pd.read_csv('./data/bronze/stats/loan3000.csv')\n","\n","fig, ax = plt.subplots(figsize=(6, 4))\n","\n","loan3000.loc[loan3000.outcome=='paid off'].plot(\n"," x='borrower_score', y='payment_inc_ratio', style='.', \n"," markerfacecolor='none', markeredgecolor='C1', ax=ax)\n","loan3000.loc[loan3000.outcome=='default'].plot(\n"," x='borrower_score', y='payment_inc_ratio', style='o', \n"," markerfacecolor='none', markeredgecolor='C0', ax=ax)\n","ax.legend(['paid off', 'default']);\n","ax.set_xlim(0, 1)\n","ax.set_ylim(0, 25)\n","ax.set_xlabel('borrower_score')\n","ax.set_ylabel('payment_inc_ratio')\n","\n","x0 = 0.575\n","x1a = 0.325; y1b = 9.191\n","y2a = 10.423; x2b = 0.725\n","ax.plot((x0, x0), (0, 25), color='grey')\n","ax.plot((x1a, x1a), (0, 25), color='grey')\n","ax.plot((x0, 1), (y1b, y1b), color='grey')\n","ax.plot((x1a, x0), (y2a, y2a), color='grey')\n","ax.plot((x2b, x2b), (0, y1b), color='grey')\n","\n","labels = [('default', (x1a / 2, 25 / 2)),\n"," ('default', ((x0 + x1a) / 2, (25 + y2a) / 2)),\n"," ('paid off', ((x0 + x1a) / 2, y2a / 2)),\n"," ('paid off', ((1 + x0) / 2, (y1b + 25) / 2)),\n"," ('paid off', ((1 + x2b) / 2, (y1b + 0) / 2)),\n"," ('paid off', ((x0 + x2b) / 2, (y1b + 0) / 2)),\n"," ]\n","for label, (x, y) in labels:\n"," ax.text(x, y, label, bbox={'facecolor':'white'},\n"," verticalalignment='center', horizontalalignment='center')\n","\n","plt.tight_layout()\n","plt.show()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["
"]},"metadata":{"needs_background":"light"}}]}]}