normality-tests.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1296x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(0.8637195825576782, 0.08440198749303818)\n",
      "(0.9710047245025635, 0.2541665732860565)\n",
      "(0.9930154085159302, 0.8889862298965454)\n",
      "(0.9976759552955627, 0.17184072732925415)\n",
      "For x_10:  Don't reject normality hypothesis\n",
      "None\n",
      "For x_50:  Don't reject normality hypothesis\n",
      "None\n",
      "For x_100:  Don't reject normality hypothesis\n",
      "None\n",
      "For x_1000:  Don't reject normality hypothesis\n",
      "None\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "from scipy import stats\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# Set style\n",
    "plt.style.use('ggplot')\n",
    "\n",
    "# Start with shaprio\n",
    "\n",
    "# mean = loc, scale = sd, size = n\n",
    "x_10 = stats.norm.rvs(loc=5, scale=3, size=10)\n",
    "x_50 = stats.norm.rvs(loc=5, scale=3, size=50)\n",
    "x_100 = stats.norm.rvs(loc=5, scale=3, size=100)\n",
    "x_1000 = stats.norm.rvs(loc=5, scale=3, size=1000)\n",
    "\n",
    "def four_plots():\n",
    "    plt.subplot(2, 2, 1)\n",
    "    plt.hist(x_10)\n",
    "    plt.title('Histogram for: x_10')\n",
    "    plt.subplot(2, 2, 2)\n",
    "    plt.hist(x_50)\n",
    "    plt.title('Histogram for: x_50')\n",
    "    plt.subplot(2, 2, 3)\n",
    "    plt.hist(x_100)\n",
    "    plt.title('Histogram for: x_100')\n",
    "    plt.subplot(2, 2, 4)\n",
    "    plt.hist(x_1000)\n",
    "    plt.title('Histogram for: x_1000')\n",
    "    plt.suptitle('Randomly Sampled Normal Variables: x_N', fontsize=14)\n",
    "    plt.show()\n",
    "    \n",
    "\n",
    "plt.figure(figsize=(18,10))\n",
    "four_plots()\n",
    "\n",
    "# Perform test\n",
    "print stats.shapiro(x_10)\n",
    "print stats.shapiro(x_50)\n",
    "print stats.shapiro(x_100)\n",
    "print stats.shapiro(x_1000)\n",
    "\n",
    "def accept_reject(shaprio):\n",
    "    if shaprio[1] > .05 :\n",
    "        print \"Don't reject normality hypothesis\"\n",
    "    else:\n",
    "        print \"Reject normality hypothesis\"\n",
    "\n",
    "print \"For x_10: \", accept_reject(stats.shapiro(x_10))\n",
    "print \"For x_50: \",  accept_reject(stats.shapiro(x_50))\n",
    "print \"For x_100: \",  accept_reject(stats.shapiro(x_100))\n",
    "print \"For x_1000: \",  accept_reject(stats.shapiro(x_1000))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1296x720 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Let's look at the box plots\n",
    "def four_box():\n",
    "    plt.subplot(2, 2, 1)\n",
    "    plt.boxplot(x_10)\n",
    "    plt.title('Boxplot for: x_10')\n",
    "    plt.subplot(2, 2, 2)\n",
    "    plt.boxplot(x_50)\n",
    "    plt.title('Boxplot for: x_50')\n",
    "    plt.subplot(2, 2, 3)\n",
    "    plt.boxplot(x_100)\n",
    "    plt.title('Boxplot for: x_100')\n",
    "    plt.subplot(2, 2, 4)\n",
    "    plt.boxplot(x_1000)\n",
    "    plt.title('Boxplot for: x_1000')\n",
    "    plt.suptitle('Randomly Sampled Normal Variables: x_N', fontsize=14)\n",
    "    plt.show()\n",
    "    \n",
    "\n",
    "plt.figure(figsize=(18,10))\n",
    "four_box()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "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"
    }
   ],
   "source": [
    "# Let's look at the QQ PLOT\n",
    "import statsmodels.api as sm\n",
    "import pylab\n",
    "\n",
    "sm.qqplot(x_10, loc = 4, scale = 3, line='s')\n",
    "sm.qqplot(x_50, loc = 4, scale = 3, line='s')\n",
    "sm.qqplot(x_100, loc = 4, scale = 3, line='s')\n",
    "sm.qqplot(x_1000, loc = 4, scale = 3, line='s')\n",
    "pylab.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "res = stats.probplot(x_1000, plot=plt, )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create a bimodal dataset\n",
    "N = 10000\n",
    "x_bimodal = np.concatenate((np.random.normal(-1, 1, int(0.1 * N)),\n",
    "                    np.random.normal(5, 1, int(0.4 * N))))[:, np.newaxis]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5,1,'Histogram of a Bimodal Distrubtion')"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the bimodal data\n",
    "plt.figure(figsize=(12, 7))\n",
    "res = plt.hist(x_bimodal, bins=100)\n",
    "plt.title(\"Histogram of a Bimodal Distrubtion\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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GVSwqkWbNmvHzzz/Trl0782tJSUnmQXZbOn36NC1atKBZs2Y2X7cQooEwGvHetg3f6GhUJSXkvvACuVOngqens5NVEB+v44UX9OZrMapmm+K4viiCg4O5fPlyPddtfxaVyJgxY4iKiuK+++7DYDCwd+9ePv74Y7tcbHjkyBHuueeeKt/76aefmDVrFgEBAYwbN44bbrihyuUSEhJISEgAICoqiuDgYJvntIRWq3Xatq3lipnBNXM31cyqr79G8+yzqE+dwjR4MKWvvIJH+/Z42ChjVSzNPXSolk8/vb4U7Hk6scLEiSZiYq6egut95Z/r/HyoFMWyM5F/+eUXPvnkEy5dukRQUBBhYWG0bdvWpmEMBgOTJk1izZo1+F93JkZBQQFqtRpPT09OnjzJtm3bWLdunUXrTUlJsWlOS7nKXxLluWJmcM3cTS2zKjsbv5Ur8dq+HVNICNmRkRQNH+6Qaz6qyz1mTCCff359fTnqGhSFxx7LZ8WKqgfBnfnz0aoOt5Cx+E5lN998M08//bRVgSx16tQpbr755koFAuBVbjay7t27ExcXR05ODn5+fnbNJISoJ0VBt3cvfosXo05PJ//JJ8mdORPFSf/v3nlnCKmp5c/4cuSFi2V/swcEmFi8OKdBjnHUVbUlsnv3botWMGbMGJuFqelQVlZWFnq9HpVKRVJSEiaTCV9f6yZREUI4hjYpCf3cuXgcOUJJ165k7NhBaefODs0QH69j+nQ3FKVluVftXRyVD/A0puIor9oSSXfwVJJFRUV8++23TJw40fza/v37ARgyZAjHjh1j//79aDQa3N3dmTFjBioXv/WBEI1WYSG+69bhs2EDik5H1vLlFDz6qMOu+Rg4MJiffnIr94rjDlF5eCisXm3fC/waEovHRFyZjIlYzhUzg2vmbqyZPT75BP38+Wh//52CkSPJWbgQk53OtqxcFuXZoziq/3Xp7a0QFWW78nD5MZG0tDTzhX1//vlntSto3rx5HaIJIRordUoK+shIdPv2UdquHZd376akb1+brb/qQXCw99lTVzW1PQxLVVsiM2fOZPv27QBMnz692hVYOnYihGikDAa84+LwXbMGldFIzuzZ5E2eDB71P2n36r2mrnHcWIaUhmWqLZGrBQJSFEKIqrl9/TX+4eG4/fADRYMGkb10KcYbb6zXOkNDW1CxLByzp6HVwksvZUlp1JFFd/HdsmVLla9v27bNllmEEC5ClZmJfvZsmj34IOqsLDI2byZj+/Y6F8iYMYGEhras8K+sNMr/szXF/K9FCyPJyRdJTr7Ib79dlAKxgkUlcujQoSpfP3z4sE3DCCEaOEVBt3s3If374/X22+RNnEjawYMUDRtm0UWDAwcGVyiMsjGO60vDccVx4kSaHbbVtNR4seGBAwcAMBqN5sdXpaWlyXUaQjQh2rNn0S5cSMDnn1Ny552kr1iB4fbba/04Zx2eKm/iRBORkdWfICSsV2OJfPbZZ0DZ7UiuPr5Kr9czdepU+yUTQjQIqoICfF5+GZ9Nm8DXl6zoaArGjgV11QcyKpcGVTy3hcqF0aFDKZ9+Wvm02LLTZe0QQdRcIpGRkQC8/fbbPPzwww4JJIRoODz270e/YAHaP/6gYPRotGvXUnDdYSvHlQaULw5PT4Xz51PttB1hKYvunXW1QLKzsykqKqrwnlwnIkTjo0lOxm/BAnQffUTprbdyOT6ekl69CA4OZsxgk4NvWqhUeJycLMXRkFhUIomJiWzYsIGsrKxK78npv0I0IqWl+GzejM/atQDkzJtH3oQJhN50A44Z16h8iComRk67bcgsKpG4uDgeeughBgwYgLu7u70zCSGcwP3LL9FHROB29iwfqP/Ks6Z1/L7sRlh2dQlHjGvInoarsahE8vLyuO++++SGh0I0Qur0dP7bZQ1P8Aa/0YZp/JsPTMNxzN6GlIars+g6kUGDBvHpp5/aO4sQwkHi43W0Dg1hYeiHuHUZwKO8SRRz6MQZPuBBbFsgSoV/MTFZ5us0pEBcn0V7IufOneO///0v7733XqUJoxYtWmSXYEII2yp/FlVnvuVznqEPX3CYfjzDBs5Q+zUflql4iKpv32J2786w0bpFQ2NRiQwaNIhBgwbZO4sQwoaqOvXWhzz+yT95jlfIJIDH2cobjK+0XN1ULA059bZpsahEBgwYYOcYQoj6qvl6DYWRxPMKz9GaZF5jAhGsIIMgK7cm4xqijMVzrGdlZZGUlERubi7l57GSPRQhnMeSW4rczM/EMI372cc3dGE0e/iCPnXcUsW9DTntVlxlUYl89dVXxMTE0LJlSy5cuMANN9zAhQsX6Nixo5SIEA5Ul6vD3SlmJquZz1KMaHiBNaxjOkaL/rev+tRbV5yNUdiXRSWye/dupkyZwt13380TTzxBdHQ0n376KRcuXLBpmKlTp+Lp6YlarUaj0RAVFVXhfUVR2Lp1K6dOncLDw4MpU6bQtm1bm2YQoiGx9pYiA/iUDTxDR87yLg8xg5dJpnUNHyHXawjrWFQily9f5u67767w2r333svEiRN57LHHbBooMjISPz+/Kt87deoUqamprFu3jnPnzvH666+zfPlym25fCGeq732oQviT1cxkHDv5mZsZxof8l2HVLC3jGqL+LCoRPz8/srKy8Pf3p1mzZvz000/4+vpiMpnsna+Cr7/+mv79+6NSqejQoQP5+flkZmYSEBDg0BxC2JItbpWuxshEXmM5c/Emn6XMYzlzKcSr3FKytyFsz6ISGTx4MD/++CO9e/fm/vvvZ9GiRahUKh544AGbB1q2rOweC/fddx9hYWEV3svIyCA4ONj8PCgoiIyMjEolkpCQQEJCAgBRUVEVPsaRtFqt07ZtLVfMDK6V28NDy7WiaHnlv9afYtuNk2zgGXrxFQcYyBRiOUtHrl3gd5VCcbHhuo+u29fMlb7O5bliblfJbFGJjBgxwvz43nvv5fbbb6eoqIjWrWs6xlp3S5YsITAwkOzsbJYuXUqrVq3o1KlTndcTFhZWoYCcNRDoioOQrpgZGn5ue0zM5EsOS1jAs6znMsE8wk7eYuyVdZcVyPV7GvX9EjX0r3N1XDG3MzO3atXK4mUtPsW3PHu1Y2BgIFA24VXPnj1JSkqqUCKBgYEVvqjp6enmjxGiobHfjH4Ko9nDSzxPC1LZyCTmsYwsAmjRwihTvgqHsqhEnnnmmWrf27Bhg02CFBUVoSgKOp2OoqIivv32W0aNGlVhmR49evC///2Pe+65h3PnzuHl5SXjIaJBsfdUsLfwE+uZxv+xnxN0Z5Qmnnd/b8MIioCLNt2WEJawqESmTZtW4XlmZib79u3jnnvusVmQ7OxsVq9eDZTN6d63b1+6du3K/v37ARgyZAjdunXj5MmTTJ8+HXd3d6ZMmWKz7QthLfsWR9mYhgdFzGElc1VRuHm7kT1nCS3Hj+ddjcaG2xKi7lRK+cvP6yArK4tly5axatUqW2eyuZSUFKdsV47DOo6jczuiOK4+vrxrD/qICLS//krh8OFkR0ZiatHChtuznPx8OE6jHhOBsjMH0tLk2KtoOuw5xlHe1XENdWoq+kWL0I19H8NNN5G+axfF/fvbaJtC2IbFV6yXV1xczKlTp+jWrZtdQgnRkFQsD3sUx3VnURmNeMdtwzc6GlVJCTkvvkjelCng6WmjbQthOxaVSHp6eoXnHh4ePPDAA/SXv4pEI2b78qh8zcb1hyvcEhPRh4fjfvo0Rf37k71sGUa5tY9owCwqERnAFk3FnXeGkJpafrC6vuVR061Frp0qr8rOxi8qCq8dOzCFhJARG0vR8OEgU1KLBq7WEjGZTHz++ed888035OTk4Ovry1/+8hf69u2Lu7u7IzIK4RDX9jxsN0FTrddtKAq6vXvxW7wYdXo6+U8+Se7MmSjV3D9OiIamxhIpKChg2bJl/Pnnn3Tr1o2bb76ZzMxMdu3axYcffsiCBQswGo2cPXuWPn3qOj+BEA2DbQ5bKeb/Wnw/qh9/JGjKFDyOHKGka1cyduygtHNnK7cvhHPUWCJvvfUWPj4+LFiwAM9yg3pFRUW89NJLvPLKK/z555+MHTvW7kGFsIf67X1c2+vo0KGUTz+18HTMwkJ8163DbcMGFJ2OrOXLKXj0UZBrPoQLUtf05vHjx5kwYUKFAgHw9PTkqaee4syZM4wePZp+/frZNaQQthYR4UdoaEusKxCFa/emukhy8kWLC8Tjk08IGTQI33XrMP3976QdPkzB+PFSIMJl1Xo4q7p7UwUFBaHVamX+deFyrNv7qN/cG+qUFPSRkej27aO0XTsu796N34gRmFzsAjghrldjiTRv3pzvvvuOLl26VHrv9OnTtHDSVbNCWKvuBWLFWEd5BgPecXH4rlmDymgkZ/Zs8iZPBg+Puq9LiAaoxsNZDzzwAOvXr+fYsWPmCahMJhPHjh0jNjbWLvOJCGEv1hXI1UNWdS8Qt6+/ptnQoegXL6akVy/SDhwg77nnpEBEo1LjnsiAAQPIzc0lNjaWV155BT8/P3JycnBzc2PUqFEMHDjQUTmFqJe6FUjZ3kedBsvLUWVm4rdiBd5vvomxZUsyNm+m6P/9P7nmQzRKtV4n8te//pWwsDDOnj1Lbm4uvr6+dOjQAS8vr9o+VIgGoe4FYuWhK0VBt2cPfkuXos7OJm/iRHJffBHFx6fu6xLCRVh0xbpOp6Nr1672ziKEzVleIPUb+9CePYs+IgKPL7+k5M47SY+KwmDFrJxCuBqr7+IrhGuwtECsKw9VQQE+L72Ez2uvofj4kBUdTcHYsaCucbhRiEZDSkQ0WmV7IbWxvkA89u9HP38+2uRkCkaPJmf+fExBQXVejxCuTEpENGK17YVYVyCa5GT8FixA99FHlN56K5fj4ynp1as+QYVwWRaXSG5uLqdOnSIzM5MHH3yQjIwMFEUhyAZ/eV2+fJlXX32VrKwsVCoVYWFhDBs2rMIy33//PdHR0YSEhADQq1evSnOwC2E5KwqktBSfzZvxWbsWgJx588ibMAHc3OwTUQgXYFGJnDlzhjVr1tC2bVvOnj3Lgw8+SGpqKu+//z7h4eH1DqHRaBg3bhxt27alsLCQ8PBwunTpQuvWrSssd9ttt9lke0LUtUDcv/wSfUQEbmfPUjhkCDlLlmC87udTiKbIotG/bdu2MWPGDObNm4fmyj1+brnlFs6fP2+TEAEBAbS9MvGOTqcjNDSUjIwMm6xbNE0DBwbX8K5CTEy2RetRp6fj//zzBI8ciSovj/StW8nculUKRIgrLNoTuXTpEp2vu0W1VqvFaDTaPFBaWhq//PILt9xyS6X3fvrpJ2bNmkVAQADjxo3jhhtusPn2RePw009u1DQeMnJkYc0rMJnwevtt/JYtQ5WXR+7UqeTNmIEi10cJUYFFJdK6dWsSExMrXCty+vRp2rRpY9MwRUVFrFmzhscff7zSxYw333wzsbGxeHp6cvLkSVatWsW6deuqXE9CQgIJCQkAREVFERxc01+l9qPVap22bWu5Ymaoe+6allWdPo3m2WdRHzuGqW9fDDExeHTqhK1vVuKKX2tXzAyumdtVMqsURVFqW+inn35i5cqVdOvWjS+++IJ7772XEydOMGvWrCr3GKxhMBhYuXIld9xxh0X35Jo6dSorVqzAz4IZ4FJSUmwRsc6Cg4MrzaHd0LliZqic+9pt3qtSdj+s66ny8vBdswbvuDhMej058+dTOHq03W5X4opfa1fMDK6Z25mZW7VqZfGyFu2JdOjQgVWrVvHZZ5/h6elJcHAwy5cvt8mZWQCKorBx40ZCQ0OrLZCsrCz0ej0qlYqkpCRMJhO+vr422b5oShQ6dCi97iUFz3370C9ciCY1lfxHHiEnPBylmmkQhBDXWHyKb2BgIA8++KBdQpw9e5bDhw/Tpk0bZs2aBcDYsWPNLTxkyBCOHTvG/v370Wg0uLu7M2PGDFRyQzthhfI3VdT89hv6+fPxPHCA0ttuI2PTJkp79HBiOiFcS7UlEhMTY9Ev6WeffbbeITp27MiePXtqXGbo0KEMHTq03tsSAoDiYnw2bsR33ToUtZrshQvJf+op0Mr1t0LURbX/x8iEU6Kxcj9ypOyaj/PnKRw2jOxFizBpkih6AAAgAElEQVTV4RiwEOKaakvk73//uyNzCGF3IfzJamYSPHonhjZtSN++neLBg50dSwiXZvG++3fffcfnn39OZmYmAQEB3HPPPZWuHRGiIVJjZCKvsZy5eJNP7vTp5E2fjqLTOTuaEC7PoivWP/jgA15++WV8fHzo3r07vr6+rFu3jg8++MDe+YSol26c5Ch92MAUTtGNLnxD7pw5UiBC2IhFeyL/+c9/WLhwYYWLC/v378/SpUv561//ardwQljLlxyWsJBnWc9lgnmEnbzFP668W/kaESGEdSw+nHX9QHvz5s1tHkaIelMUNg0+wI/MoQWpbGQy81hGFgFXF3BqPCEaG4sOZ/39739n48aNXLx4kZKSElJSUti0aROjR4/GZDKZ/wnhTJqffybwkUdYdPYxLtKS3hxjKrHlCkQIYWsW7Yls3rwZgCNHjlR4/fPPP+e1114zP9+9e7cNowlhoaIi1EuXEhIdjeLmxjReIZapmNA4O5kQjZ5FJbJ+/Xp75xDCKh6HD6OPiED7668UDh9OdmQk6+/sRtX3zVJ47LF8R0cUolGzqESaNWtm7xxC1Ik6NRX9okXo3n8fw003Ufrhh2SWu8t0dVasyHFAOiGaDotKpKCggH379vHrr79SVFRU4b358+fbJZgQVTIa8d62Dd/oaFSlpeS8+CJ5U6YQ3Lo1uNhdWoVoDCwqkbVr12Iymbjrrrtwd3e3dyYhquSWmIg+PBz306cp6t+f7GXLMF6ZEVMI4RwWlci5c+eIi4tDKzenE06gys7GLyoKrx07MIWEkBEbS9Hw4VXO83HnnSFOSChE02XRKb4dO3YkOTnZ3lmEqEhR0MXHE9K/P147d5L/5JOkHTxI0YMPVjtRVGqqhpqmxRVC2JZFuxZTpkxhxYoV3HLLLfj7+1d4b9SoUXYJJpo2bVIS+rlz8ThyhJKuXcnYuZPSWu7VFh8vtzIRwtEsKpFdu3aRnp5Os2bNKCwsNL8uk0IJmyssxHfdOnw2bEDR6chavpyCRx8FTe3XfEyb5o/shQjhWBaVyNGjR3nllVcICJArf4X9eHzyCfr589H+/jsFI0eSs3AhJpudXq7QooXRRusSQlxlUYk0b94cjQV/CQphDXVKCvrISHT79lHarh2Xd++mpG/fOq3Dw6P2H+UTJ9KsjSiEqIZFJdKvXz+io6MZOnRopTGRv/zlLzYJkpiYyNatWzGZTAwePJgRI0ZUeL+0tJT169fz888/4+vry4wZMwgJkTNxXJrBgHdcHL5r1qAyGsmZPZu8yZPBw6NOqwkNbUHZYazqDmUpqFRy40Uh7MGiEvnoo4+AsrGR8lQqlU1uiWIymYiLi2P+/PkEBQURERFBjx49aN26tXmZAwcO4O3tTUxMDEeOHOHNN9/k+eefr/e2hXO4ff01/uHhuP3wA0WDBpG9dCnGG2+s83oGDgym5gIp88cfqdYFFULUyKISefXVV+0aIikpiRYtWphvL9+nTx+OHz9eoUS+/vpr85S9vXv3ZsuWLSiKIoP7LkaVmYnfihV4v/kmxpYtydi8maL/9/+qPWW3Nj/95IYMpgvhPBZdJ2JvGRkZBAUFmZ8HBQWRkZFR7TIajQYvLy9yc3MdmlPUg6Kg27277JqPt98mb+LEsms+hg2zukDKDmPVumE6dCi1av1CiNpZfO+sd955hzNnzpCbm4uiXDu+vGHDBruFs1ZCQgIJCQkAREVFERwc7JQcWq3Wadu2lj0yq86cQTNtGurPP8fUuzeG9etx79yZoNo/tFplA+m1HcZSAIXTpwEa3vdBfj4cxxVzu0pmi0rk9ddfJyMjg1GjRhETE8O0adN4//336dWrl01CBAYGkp6ebn6enp5OYGBglcsEBQVhNBopKCjA19e3yvWFhYURFhZmfn7ZSTfmCw4Odtq2rWXLzKqCAnxeegmf115D8fEha9UqCh5+GNRqq2+WGB+vY9o0PZYWSHJyaoO9L2NT//lwJFfM7czMrVq1snhZiw5nffvtt7z44ov07NkTtVpNz549ef755/nss8+sDlleu3btuHjxImlpaRgMBo4ePUqPHj0qLHPnnXdy8OBBAI4dO8btt98u4yENmMf+/TQbMADf2FgKR44k7fBhCv7xj7ICsdKYMYFXLihUY8k4SHKyDKYLYW8W7YkoioKXlxcAnp6eFBQU4O/vT2qqbf4n1Wg0PPnkkyxbtgyTycTAgQO54YYb2L17N+3ataNHjx4MGjSI9evXM23aNHx8fJgxY4ZNti1sS/PHH/gtWIBu/35Kb72Vy/HxlNhgj7VduxYUFdV+FlYZBT8/ma5ZCEewqERuvPFGzpw5Q+fOnenYsSOvv/46np6etGzZ0mZBunfvTvfu3Su8NmbMGPNjd3d3XnjhBZttT9hYaSk+mzfjs3YtADnz5pE3YQK4udV71bVfB1JeWYH88MOf9d6uEKJ2FpXIpEmTzIPpTzzxBG+99Rb5+fk8++yzdg0nXIP7l1+ij4jA7exZCocMIWfJEozlTs+21rXyAEsLBBQpECEcyOLbnlyl1+t55pln7BZIuA51ejp+S5fitWcPhtBQ0rdupXjIkHqv99qhK7D8GpBrA+lCCMepsUR+/vlntFotbdq0ASAnJ4dt27Zx4cIF2rdvz2OPPYanp6dDgooGxGTC6+238Vu2DFVeHrlTp5I3YwbKlXGz+qjboSsoKw+YONFEZKTsgQjhaDWeKrNt2zaysrLMzzdu3MjFixcZPHgwFy5cYOfOnXYPKBoW7ZkzBI8Ygf+sWZTeeiuX9u8nd+7cehXIjTe2IDS0JaGhLal7gSgkJ18kJkbu0CuEM9RYIsnJydx2220A5Ofnc+rUKaZNm8bQoUN57rnnOHHihENCCudT5eXht2gRzYYORfPLL2SuXUv6v/6F4dZbrV7n1fIwGK4WhzUFIoevhHCmGg9nGY1G87zq586dw9/f33wRSnBwMPn5+fZPKJxLUfDctw/9woVoUlPJf+QRcsLDUa67GLQu6j5gXikUUiBCNAw17onccMMNfPHFFwAcOXKEzuWmJ83IyDBfOyIaJ81vvxH42GMETpyIKSCAS++9R3Z0tNUFEhra4rpDVnUtkLLyeOyxfCkQIRqIGvdEHnnkEVauXMnmzZtRq9UsWbLE/N7Ro0e5tR6HMkQDVlyMz8aN+K5bh6LRkB0ZSf6TT4LWopP5KrHNngdy/YcQDVCNvxU6duxIbGwsFy9epGXLluh0OvN73bt3p0+fPnYPKBxLdfAgzaZMwe38eQqHDSN70SJMdbiPzlUVT9OF+pSHHLoSouGq9U9LnU5H27ZtK71elxt0iYZPfekSfosX4xYfj6FNG9K3b6d48OA6rSMiwo/t273LvWLtvc2kPIRwFdYdnxCNh9GI186d+EVFoSosxBgezqWnn0Ypt9dZmxtvbHHlDCuo3wRRUh5CuBopkSbM7fRp9BERuJ86RXGfPmSvWIF/794oFt5+2tbloVIpMo2tEC5GSqQJUuXm4rtqFd5bt2IKDCQzJobCv/3NohkGBw4MvjIlrXlt9UhSVh6PPZbPihU59ViPEMJZpESaEkXB8/330S9ahDotjYJx48iZMwfF37/aD6k4CdRVtjhkBX37FrN7d0YNywohGjopkSZC8/PP6OfPx/PQIUo6dyYjLo7Sbt2qXPbOO0NITdWUe8UWk3/JeIcQjZGUSGNXVIRPbCy+69ejuLmRvWQJ+ePHg0ZTYbExYwL5/HOPcq/YsjjkGg8hGispkUbM4/Bh9BERaH/9lcLhw8mOjMTUooX5fduOb5Qnex1CNBVSIo2QOjUV/aJF6N5/H8NNN5G+axfF/fub36+412HLeerLykPGOoRoOpxeIjt27ODEiRNotVqaN2/OlClT8Pb2rrTc1KlT8fT0RK1Wo9FoiIqKckLaBs5oxHvbNnyjo1GVlpLz4ovkTZkCV+Z8qTjWYeu9DikPIZoip5dIly5d+Mc//oFGo2Hnzp3s3buXRx99tMplIyMj8fPzc3BC1+CWmIg+PBz306cpuvdespcuxdi2rQ2vIr9KqfCsRQsjJ06k1XOdQghX5fQSueOOO8yPO3TowLFjx5yYxvWosrPxi4rCa8cOTCEhZMTGcvdLT/JTP/fyS9VzKzJALoSomtNLpLwDBw7UeFPHZcuWAXDfffcRFhbmqFgNk6Kgi4/Hb/FiVOkZxKqfZe6fi8mZor+ygO2KIyYmi5EjC+u5PiFEY6RSFEWpfbH6WbJkSYVpdq96+OGH6dmzJwDx8fGcP3+emTNnoqriyumMjAwCAwPJzs5m6dKlPPHEE3Tq1KnK7SUkJJCQkABAVFQUJSUlNvxsLKfVajEYDDZf79Jx5xiwZxqD+JSv6MlkNnCKO22w5ms/CgMHKvzvf7bPbi/2+lrbk2R2HFfM7czM7u7utS90hUNKpDYHDx7k448/ZuHChXh4eNS6/J49e/D09GT48OEWrT8lJaW+Ea0SHBzMZQvvQ1Wb+HgdC2e580LRcmazigK8iGAFrzERE5raV1Cjsh+BmJgsJk70tllmR7Ll19pRJLPjuGJuZ2auy13aa5zZ0BESExN57733mDNnTrUFUlRURGFhofnxt99+S5s2bRwZ02ni43XccksL9k07ytdFnZnPcnYzhls5y0aeqUeBKFScKfCiHLISQtSZ08dE4uLiMBgM5lkT27dvz8SJE8nIyGDTpk1ERESQnZ3N6tWrgbJ53/v27UvXrl2dGdtu4uN1LFjgR1ZWWb+H8gfbmcAo/sWP3MogPuFTBtVjC2V7HR06lPLpp671l5kQouFpEIez7K0hH866vjTKqNBgYDrrWEQkWgwsZT6rmUkJtR/uq+jat1erhZdeqnmQ3BV3+8E1c0tmx3HF3K5yOMvpeyJNWXy8jhde0FNaWvGoYm++YCOTuYNv+ZBhTCOGX6g8u2T15AJAIYRjSIk4SXy8junT/VGUa2eiBZBBFOFMZDMXaM1I/sVe/kbNp+tW3JFUqWDcOJmfQwjhGFIidrRrl5p580JITtagUkHlA4dXy0FhPG+wilkEkMkaXuCf/JM8fGtYu0zoJIRwPikRO6g4zlFWFNWNPHXiezbwDP35jKPczWQ2cpouNaxdwdtbISoqW86mEkI4nZSIheLjdURF+ZKSokGvN6FSQVaWutLjkhIVBQUqarti3It8FrKYF1hLDn48zWa28CRKpbOur7WPlIcQoqGREqlC+cJo1crI4MFFvPOOF4WFZb/gs7KuXZtR3eOa/JX3iWEaN/I7W3mc2URzmWZX3r1WGgEBJhYvzpHSEEI0WE2uRK4viPDw3Aq/pOPjdcyerTcXRnKylh07vCsMgFurDb+xjuk8yPt8x+304zCf08/8vpubwtq1cp8qIYTrcPoV6450tSCSk7UoiorkZC2zZ+uJj9eZl4mK8jUXyFX1LRAtpcwimjN0IowEZrOSbpwqVyAK3t4mKRAhhMtpUiVSVUEUFqqJirp2FlRKSn3vQ1VRXz7jFN2IZg4JhNGJ71nFLExqLaAQGmogJiaLn35KlQIRQricJnU4q7qCKP96q1ZGkpMrf1lUKqVOeyTBXCKa2TzBNnICWpO+dis9hwzhCwAu1jG5EEI0TE1qT6RVK2Otr4eH56LTmSq8r9OZGDcun9BQAyqVgr+/kYAAY5WPA/1LeZrN/KTqyHjNTnKnTiX/q08pHjLErp+bEEI4Q5PaEwkPz60waA5lBREenmt+fvWQUtWD7zVf1Kc9cwb/8HDcT5yg+K5eGDduJDckxC6fixBCNARNqkRqLoiKy9VlfEKVl4fvmjV4x8Vh0uvJXLuWwtGjCW7WDFzspm9CCFEXTapEoO4FUSNFwXPfPvQLF6JJTSX/kUfICQ9HCQy0zfqFEKKBa3IlYiua335DP38+ngcOUHrbbWRs2kRpjx7OjiWEEA4lJVJXxcX4bNyI77p1KBoN2ZGR5D/5ZNlkHUII0cTIb746cD9yBH1EBG7nz1M4bBjZixZhqsPkLUII0dhIiVhAfekSfosX4xUfj6FNG9K3b6d48GBnxxJCCKdzeons2bOHTz75BD8/PwDGjh1L9+7dKy2XmJjI1q1bMZlMDB48mBEjRtg/nNGI186d+EVFoSosJHf6dPKmT0fR6Wr/WCGEaAKcXiIA999/P8OHD6/2fZPJRFxcHPPnzycoKIiIiAh69OhB69at7ZbJ7fRp9OHhuCcmUtynD9krVmC45Ra7bU8IIVxRgyiR2iQlJdGiRQuaN28OQJ8+fTh+/LhdSkSVm4vvqlV4b92KKTCQzJgYCv/2t7J5Z4UQQlTQIErko48+4vDhw7Rt25bHHnsMHx+fCu9nZGQQFBRkfh4UFMS5c+eqXV9CQgIJCQkAREVFERwcXHsIRUH97rtoZs2C1FRMEyZgXLwY74AAvK37tNBqtZZtuwFxxczgmrkls+O4Ym5XyeyQElmyZAlZWVmVXn/44YcZMmQIo0aNAmD37t1s376dKVOm1Gt7YWFhhIWFmZ9fruWqcc3PP6OfPx/3Q4co6dyZ7M2bKe3WDYzGel1xHhwcXOu2GxpXzAyumVsyO44r5nZm5lZ1OOvUISWyYMECi5YbPHgwK1eurPR6YGAg6enp5ufp6ekE2uKq8KIifGJj8V2/HsXNjewlS8gfPx40tr0dvBBCNFZOv4tvZmam+fFXX33FDTfcUGmZdu3acfHiRdLS0jAYDBw9epQe9bw63OPwYUIGD8ZvzRqK/u//SDt0qOyiQSkQIYSwmNPHRHbu3Mmvv/6KSqWiWbNmTJw4ESgbB9m0aRMRERFoNBqefPJJli1bhslkYuDAgVWWjUUUBf8ZM/B6910MN91E+q5dFPfvb8PPSAghmg6VoiiKs0PYW0pKSoXnPi+/DCYTeVOmgKen3bYrx2EdxxVzS2bHccXcMibSgOXNmOHsCEII0Sg4fUxECCGE65ISEUIIYTUpESGEEFaTEhFCCGE1KREhhBBWkxIRQghhNSkRIYQQVpMSEUIIYbUmccW6EEII+5A9ETsKDw93doQ6c8XM4Jq5JbPjuGJuV8ksJSKEEMJqUiJCCCGspvnnP//5T2eHaMzatm3r7Ah15oqZwTVzS2bHccXcrpBZBtaFEEJYTQ5nCSGEsFqTnE/EUd5++22+/vprVCoVer2eKVOm2GZueDvbsWMHJ06cQKvV0rx5c6ZMmYK3t7ezY9Xoiy++4J133iE5OZnly5fTrl07Z0eqVmJiIlu3bsVkMjF48GBGjBjh7Ei1io2N5eTJk+j1etasWePsOBa5fPkyr776KllZWahUKsLCwhg2bJizY9WqpKSEyMhIDAYDRqOR3r17M3r0aGfHqp4i7CY/P9/8+MMPP1Q2bdrkxDSWS0xMVAwGg6IoirJjxw5lx44dTk5UuwsXLijJyclKZGSkkpSU5Ow41TIajcqzzz6rpKamKqWlpcrMmTOVCxcuODtWrb7//nvl/PnzygsvvODsKBbLyMhQzp8/ryiKohQUFCjTp093ia+1yWRSCgsLFUVRlNLSUiUiIkI5e/ask1NVTw5n2ZGXl5f5cXFxMSqVyolpLHfHHXeg0WgA6NChAxkZGU5OVLvWrVvXaUpPZ0lKSqJFixY0b94crVZLnz59OH78uLNj1apTp074+Pg4O0adBAQEmAemdTodoaGhLvGzrFKp8LwybbfRaMRoNDbo3x1yOMvOdu3axeHDh/Hy8iIyMtLZcerswIED9OnTx9kxGo2MjAyCgoLMz4OCgjh37pwTEzUNaWlp/PLLL9xyyy3OjmIRk8nEnDlzSE1N5f/+7/9o3769syNVS0qknpYsWUJWVlal1x9++GF69uzJ2LFjGTt2LHv37uV///tfgzm2WVtugPj4eDQaDf369XN0vCpZklmI6xUVFbFmzRoef/zxCkcHGjK1Ws2qVavIz89n9erV/P7777Rp08bZsaokJVJPCxYssGi5fv36sWLFigZTIrXlPnjwICdOnGDhwoUNZlfa0q91QxYYGEh6err5eXp6ukucbOGqDAYDa9asoV+/fvTq1cvZcerM29ub22+/ncTExAZbIjImYkcXL140Pz5+/LhLHLOHsrOH3nvvPebMmYOHh4ez4zQq7dq14+LFi6SlpWEwGDh69Cg9evRwdqxGSVEUNm7cSGhoKA888ICz41gsJyeH/Px8oOxMrW+//ZbQ0FAnp6qeXGxoR6tXr+bixYuoVCqCg4OZOHGiS/zVOW3aNAwGg3kgtX379kycONHJqWr21VdfsWXLFnJycvD29uamm25i3rx5zo5VpZMnT/LGG29gMpkYOHAgI0eOdHakWr388sucOXOG3Nxc9Ho9o0ePZtCgQc6OVaMff/yRhQsX0qZNG/Pe9NixY+nevbuTk9Xst99+49VXX8VkMqEoCnfffTejRo1ydqxqSYkIIYSwmhzOEkIIYTUpESGEEFaTEhFCCGE1KREhhBBWkxIRQghhNSkRIYQQVpMSEQ3Wnj17WLdunbNjVOny5cuMGzcOk8lUr/X885//5JNPPrFRKvt77bXXePfddwH4/vvvmTx5spMTCWeT254Ipxk3bpz5cUlJCVqtFrW67O+ahnZx49SpU5k0aRJdunQBIDg4mB07dth9u3/88QdvvvkmZ86cQVEU2rVrx9ixY+nQoYPdt33w4EE++eQTlixZYn6toX1fhPNJiQinKf9L+Ppf0lC2J+IIRqPRfOv7hiQ1NZUFCxYwZMgQpk6dikaj4dNPP2Xp0qUsXLjQZe5IKxo3KRHRoBkMBtavX89XX31FcHAwU6dONc9amJGRwZYtW/jhhx/w9PTk/vvvN89cV1payptvvskXX3wBwN13380jjzyCm5sb33//PTExMQwdOpQPP/yQLl26MG3aNE6cOMHbb7/NpUuXaN26NRMmTODGG28kJiaGy5cvs3LlStRqNaNGjeLuu+/m2WefZdeuXWg0GvLy8ti+fTvffPMNJSUl3HbbbcyePZu8vDzWr1/PuXPnMJlM3HrrrUyYMKHC7eCr884779ChQwfGjh1rfm3YsGEkJyfz5ptvEhkZaf5cNm7caF6mfCEnJSWxdetWkpOTcXd3p1evXowfPx6ttux//dGjR/P000/zn//8h5ycHPr27ctTTz1FcnIymzdvxmAwMG7cODQaDdu2bePVV18lKCiIhx9+uFLemr4fSUlJvP7661y8eBF3d3f69u3L+PHjrfypEA2JjImIBu3EiRP06dOHbdu20aNHD7Zs2QKUzbewcuVKbrrpJjZt2sTChQvZt28fiYmJQNlt7M+dO0d0dDSrVq0iKSmJf/3rX+b1ZmVlkZeXR2xsLJMmTeKXX35hw4YNTJw4kS1bthAWFkZ0dDSlpaVMmzaN4OBg5syZw44dO3jwwQcr5YyJiaG4uJg1a9awefNm8w3/FEVhwIABxMbGEhsbi7u7O3FxcRZ97t9++y29e/eu9Prdd9/NDz/8QElJSa3rUKvVjB8/nri4OJYuXcp3333HRx99VGGZkydPsmLFClavXs0XX3zBN998Yy7RDh06sGPHDrZt21bjdmr7fmzdupVhw4bxxhtvEBMTw913323R10A0fFIiokHr2LEj3bt3R61W079/f3799VcAzp8/T05ODqNGjTLPBT948GCOHj0KwOeff85DDz2EXq/Hz8+PUaNG8dlnn5nXq1KpGD16NG5ubri7u5OQkEBYWBjt27dHrVYzYMAAtFqtRRNGZWZmkpiYyIQJE/Dx8UGr1dKpUycAfH196d27Nx4eHuh0OkaOHMkPP/xg0eeem5tLQEBApdcDAgIwmUzk5eXVuo62bdvSoUMHNBoNISEhhIWFcebMmQrLjBgxAm9vb4KDg7n99tvNX+O6qO37odVqSU1NJScnB09PT4eM6QjHkMNZokHT6/Xmx+7u7pSWlmI0Grl06RKZmZk8/vjj5vdNJhO33XYbUHZopVmzZub3mjVrVmFqVD8/P9zd3c3PL1++zKFDh/jf//5nfs1gMFg0nWp6ejo+Pj5VTh9bXFzMG2+8QWJiovn23oWFhZhMJvNJBNXx9fUlMzOz0uuZmZmoVCp8fX0rTDdQlZSUFLZv38758+cpKSnBaDSap4y9yt/f3/zYw8ODoqKiGtdZldq+H5MnT2b37t08//zzhISEMGrUKO688846b0c0PFIiwiUFBwcTEhJS7SnAgYGBXLp0iRtuuAEoK4nyt+G/fqKtoKAgRo4cadVt2YOCgsjLyyM/Px9vb+8K733wwQekpKSwfPly/P39+fXXX5k9ezaW3Dy7c+fOHDt2jIEDB1Z4/YsvvqB9+/a4ubnh4eFBcXGx+T2TyUROTo75+euvv85NN93Ec889h06n48MPP+TYsWN1/hxrU9v3o2XLlsyYMQOTycRXX33F2rVriYuLM88lLlyXHM4SLumWW25Bp9Px73//m5KSEkwmE7///jtJSUkA3HPPPcTHx5OTk0NOTg7vvvtujdP8Dh48mI8//phz586hKApFRUWcPHmSwsJCoOyv9bS0tCo/NiAggK5du/L666+Tl5eHwWAwHzIqKirC3d0dLy8v8vLyeOeddyz+HP/+979z9uxZdu3aRV5eHoWFhfz3v//l4MGD5hkyW7VqRWlpKSdPnsRgMPCvf/2L0tJS8zoKCwvx8vLC09OT5ORk9u/fb/H2/f39ycjIwGAw1Lpsbd+Pw4cPk5OTg1qtNk9RW9uemHANsiciXJJarWbOnDls376dqVOnYjAYaNWqFWPGjAFg5MiRFBQUMHPmTAB69+5d415Gu3btmDRpElu2bDGfQdSxY0fz4ZgRI0awZcsWdu7cyciRIysNeE+bNo1t27bx/PPPYzAYuP322+nUqRPDhg1j3bp1PPXUUwQGBvLAAw9w/Phxiz7Hli1bsnjxYt566y2mTp1KUVEROp2OmTNnmk+F9vLy4umnn2bjxo2YTCaGDzuykw4AAACiSURBVB9e4cyvcePG8dprr/Hee+9x880306dPH7777juLtv+Xv/zFPMCuVqtrPCGgtu9HYmIi27dvp7i4mGbNmvHcc89VOJwoXJdMSiWEi0hPT2fevHkuMaugaDpkf1IIFxEUFMTcuXPJzMy0avBbCHuQPREhhBBWkz0RIYQQVpMSEUIIYTUpESGEEFaTEhFCCGE1KREhhBBWkxIRQghhtf8PgI+L3MksedsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# QQ Plots for the bimodal data\n",
    "sm.qqplot(x_bimodal[:,0], line='s')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "KstestResult(statistic=0.3799548575756928, pvalue=0.08314016853183959)\n",
      "KstestResult(statistic=0.08747802305302399, pvalue=0.8387908580519111)\n",
      "KstestResult(statistic=0.061047174276107175, pvalue=0.8501205705664947)\n",
      "KstestResult(statistic=0.0185742755283389, pvalue=0.8805510946984335)\n"
     ]
    }
   ],
   "source": [
    "# Perform test KS test\n",
    "print stats.kstest(x_10, 'norm', args=(5, 3))\n",
    "print stats.kstest(x_50, 'norm', args=(5, 3))\n",
    "print stats.kstest(x_100, 'norm', args=(5, 3))\n",
    "print stats.kstest(x_1000, 'norm', args=(5, 3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KstestResult(statistic=0.007399934416272402, pvalue=0.6440305178704728)"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.kstest(stats.norm.rvs(loc=0, scale=1, size=10000), 'norm')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KstestResult(statistic=0.0271651556549517, pvalue=0.44898299308719736)"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Try with a uniform distubtion\n",
    "x_uni = np.random.rand(1000)\n",
    "stats.kstest(x_uni, lambda x: x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 180,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def ks_plot_norm(data):\n",
    "    length = len(data)\n",
    "    plt.figure(figsize=(12, 7))\n",
    "    plt.plot(np.sort(data), np.linspace(0, 1, length, endpoint=False))\n",
    "    plt.plot(np.sort(stats.norm.rvs(loc=5, scale=3, size=length)), np.linspace(0, 1, length, endpoint=False))\n",
    "    plt.legend('top right')\n",
    "    plt.legend(['Data', 'Theoretical Values'])\n",
    "    plt.title('Comparing CDFs for KS-Test')\n",
    "    \n",
    "ks_plot_norm(x_100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ks_plot_norm(x_50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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aNWu48cYbOf744xWKRUTaMAVjEZED2LJlCw888AA7duwgLS2NcePG1dtCWERE2h5NpRARERERQatSiIiIiIgACsYiIiIiIoDDc4y3bdvm5Okdk5KSQmFhodNltHrqx8BRXwaG+jEw1I+Bo74MDPVjYDjZj+np6U1qpxFjEREREREUjEVEREREAAVjEREREREgxNYxNsbg8XiwbRvLspwuJ2h27NiB1+ttUltjDC6XC7fb3ab7RERERMRpIRWMPR4PERERhIeHVFkBFx4eTlhYWJPb+3w+PB4P0dHRQaxKREREpH0LqakUtm23+VB8OMLDw7Ft2+kyRERERNq0kArGmirQMPWNiIiISHCFVDAWEREREXGKgrGIiIiICE24+O6pp55i+fLlJCQk8Mgjj+z3vDGG559/nhUrVhAVFcWUKVPIyMgISrEtoXv37vTr1w+fz0dYWBjnnHMOV155JS5Xwz9D5Obm8u233zJhwoTDOucFF1zA8uXLGTZsGDNmzDjc0kVERESkGRodMT7ppJOYNm1ag8+vWLGC7du3849//IMrr7yS5557LqAFtjS3282sWbOYN28er732GvPmzePRRx896Gtyc3N55513DvucV199NY8//vhhv15EREREmq/REeMBAwZQUFDQ4PPffvstY8aMwbIs+vbtS0VFBSUlJSQmJjarMPu1ZzG5m5t1jH1Z3Xvh+v0fmtw+JSWFhx56iNNOO42bbrqJvLw8pk6dSmVlJQD33nsvw4YN4/7772fjxo2MGzeOc889l1NPPfWA7RoyevRoFi9e3Lw3JyIiIiLN0uy10YqLi0lJSam7n5ycTHFx8QGD8ezZs5k9ezYADz74YL3XQe3GF3uWa/O5XNgBXonB5XI1aTm4vdtkZmZi2zYlJSWkpqYyc+ZM3G43OTk5XH311Xz++efceeedPPXUU7zyyisAVFZWHrBdQ+cACAsLw7KsBuuLiorar7/au/DwcPVJgKgvA0P9GBjqx8BRXwaG+jEwWkM/tuiiwdnZ2WRnZ9fdLywsrPe81+v9ZeOLiZcH5cpAn893WG38fj8ej4c//elPrFmzBpfLRU5ODj6fD7/fjzGm7nUNtdsjPDx8v3Pse4x9eb3e/fqrvUtJSVGfBIj6MjDUj4Ghfgwc9WVgqB8Dw8l+TE9Pb1K7ZgfjpKSkem+yqKiIpKSk5h42ZGzZsgWXy0VKSgqPPvoonTp1YtasWdi23eBFhs8++2yT2omIiIi0Zcb2Q1UVVJZTU14KcR2dLumgmh2Ms7Ky+PTTTxk1ahQbNmwgJiam2fOLQ0VRURG33XYbl156KZZlUVZWRpcuXXC5XMycORO/3w9AXFwcFRUVda9rqJ2IiIhIa2KMgWovVJRDVQVUVkBlOabyl9v1HquqqN/WUwnGAFDsCsP1r7dDetOyRoPxY489xpo1a9i9ezdXX301EydOrPt1//jx4zn22GNZvnw5U6dOJTIykilTpgS96GDyeDyMGzduv+XaACZPnsyVV17Jm2++ydixY4mJiQGgf//+uFwusrOzmThxYoPtGjJhwgQ2btxIZWUlQ4cO5ZFHHuGkk04K9lsVERGRdsD4avYJsRWYPbf3CbJmrzZU/vx4YwN8UdEQGwvRsRATC8mdsGJ6Qkxc7f2YWIiOIz6tC7uNgRAOxpYxP8d4B2zbtq3e/crKykZDZFtwoDnGjWkvfXMoNOcrcNSXgaF+DAz1Y+CoLwPD6X7cezrC3oHV7DOKWxts9wrAVT/frq4++AnCw38Osb8EWWvP7ehYiI2D6FismNj6YTfm58f3XB/WiHYxx1hERKQl+GxD7i4vOcUeNpV4qaj2c+PIpv1nJxKKjM8HxQVQsB2zczvszMcUFdSO4DYwHeGALFf9sBoTCwlJWD8H2r0frxdufw69VkRky73pEKdg3ELWrl3L1KlTAbAsC2MMUVFRfPjhhw5XJiISejw+m80lHnKKveSUeNhc4mFLaTU+uzYcuMMtMpPc+G1DmCt0fy0rYrwe2JlfP/zu3A47t0NRAdj2L40jIyE5FeI6NDgdwYqt/bNeCHZHh/S83dZEwbiF9O/fn1mzZgGHN5VCRKStKvP6ySn2kFPiIafYw5ayLeSWVLFnfKxDVBgZiVGccWQiGUluMpKi6BIXqUAsIcEYA+W7fwm8Bfn1w++ukvoviO0AndKwevaBYWOgcxesTmnQOa12lFcB11EKxiIi0iKMMRRW+n4JwSW10yIKK38ZKOgUE06/tHhGdYulV1IUGYluUmLCFRbEMcZXg11ajNmeB6XFdaO+tSPA+bXht6qy/os6JkPnNKyBQ6FT2i/ht1OX2ukNErIUjEVEJOD8tiF/d3Vd+N0ThHd7a69ut4Cu8ZEM6BRDr6QoMpPc9Ep0Ex8V5viFTtK21FturN7SYuX1V2qoKMfsWaFh7+eqvezc96BhYbVTHjqnYWX2qw28PwdgUlKxIqOceKsSAArGIiLSLDV+m592VbOp2PNzCPbyY4kHr792MkS4y6JHx0iGd4urnQqR6KZnYhTu8GDsbyptkbHt2lHZfcJsbbjd60K1ivL9lxurrAB/I9MXo2PqVlggNg5S0/e6SC2OuM6plNtgxXesHQFO6tTklRikdVEwFhGRJqus8bO5bhTYy+YSDz+Vevk5AxMd7qJXYhTjenckIzGKjCQ33ROiCNd84HbP+Hw/B9W9Rm0r9hm1rds4Yp9R26pGVmVwufa6SK02zFrJnWtv77lYLXavJcj2LE0WGwfumEZDbkxKCpX6LUa7oGC8j+7du9OvX7/9NvhwuRoe2cjNzeXbb79lwoQJh3y+1atXc/vtt1NeXk5YWBjXX389Z555ZnPegohIQJVX+3lxRQGrdlSSv7um7vEEdxgZiW6GDoirC8GpcRG4NB+43TG2DYXb4accTO5mzLZcqCirm6KwZ0rCQUVG/rLaQmxc7YVo6UfsH3j33I7da1WGKK3KIIGhYLwPt9tdt3pEYWEh1157LeXl5dx8880NviY3N5d33nnnsIJxdHQ0jz/+OBkZGWzfvp1TTz2Vk046iYSEhMN+DyIigZK3y8t9C/LYUV7DsG5xnNwrgYwkN70So0iK1kVx7ZGpqYH8nzA/5dQFYfI2g6eqtoHLBaldIb5j7UVnewfbPRtFxMax34YSWktXQkDIBuPnvt3B5hJPQI/ZK9HNFVmpTW6fkpLCQw89xGmnncZNN91EXl4eU6dOpbKy9urTe++9l2HDhnH//fezceNGxo0bx7nnnsupp556wHYHkpmZWXc7LS2N5ORkioqKFIxFxHFL88p5dPE2IlwW92QfwVGdtftme2MqKyB3MyZ3rxCcn/vLnN0oN3TriTViLHTPwDoiA9KPUMiVVitkg3Go6NGjB7ZtU1hYSEpKCv/5z39wu93k5ORw7bXX8sknnzBt2jT+9a9/MWPGDACqqqoO2K4xK1asoKamhp49ewb5XYmINMwYw1s/FPPydzvplRjFtBO70Sk2wumyJMiM1wvrvsfk5tQG4dzNtUuR7dEhAY7IwBo0BLpnYnXvVTsifJCphiKtTcgG40MZ2W0pNTU1/OlPf2LNmjW4XC5ycnKa1W5vO3bsYOrUqTz22GMHnc8sIhJMXp/NP5bks2jLbkb36MD1w7sQpdUj2gX7Xw/C6mW1dzp3wToiE0Zl1/7ZvRdWxyRnCxRpASEbjEPFli1bcLlcpKSk8Oijj9KpUydmzZqFbdtkZGQc8DXPPvtsk9rtsXv3bi6++GJuvfVWhg4dGoy3ISLSqJ0VNdy/II/NJV4uPqYTvxugXbjaC/PTJli9DOvUs7FOPRcrWtNmpH1SMD6IoqIibrvtNi699FIsy6KsrIwuXbrgcrmYOXMmfn/tQvVxcXFUVFTUva6hdgdSXV3N5ZdfzjnnnMPpp58e9PckInIgP+yo5K9fbKXGNtxxUjeyump3rvbEfP5u7coOvz5boVjaNQXjfXg8HsaNG7ffcm0AkydP5sorr+TNN99k7NixxMTUfnj0798fl8tFdnY2EydObLDdgXzwwQd8/fXXlJSU8MYbbwDw97//nYEDBwb/zYqIALM2lvL0N9tJjYvkTyd2pVuCdu1qD4zthy2bMGtWYpZ+gXXKGbUrSIi0Y5YxB1sxO7i2bdtW735lZeVBQ2RbER4ejs/XyC48+2gvfXMotG1s4KgvA6O19aMxhjdWF/Hq94Uc0yWW/3dCOnGRzu/m1dr6MZTt3ZfGGNi+FbN2JWbt97B+Ve06wwA9++C6dhpWx2QHqw1d+jsZGE72Y3p6epPaacRYRKQd8tuGZ7/dwScbSjmpVzzXD++i3enaIH/RTuzF82Dtd5h130Fpce0TyZ2xho6Cfkdj9Tu6dqtjEVEwbilr165l6tSpAFiWhTGGqKgoPvzwQ4crE5H2ptpv8+iX+XyVu5sJ/ZO4+NhO2q2ujTCeKlizErPuO8za7yjcvrX2ibh4rH5HQ//BWP0HY3VKc7ZQkRAVUsHYwVkdQde/f/+6HfUOZypFW+4bEWk5FdV+7l+Qx+qCKi4b0pkz+2sJrtbO2DZsWINZPAez7Evwemo33uhzFHG/nkDlEX2gaw+tNyzSBCEVjF0uFz6fj/DwkCrLcT6fT2sbi0izFVXW8Jd5eeTu8nLjyC6c1Es7bLZmpqgAs3gu5qu5tRtxuKOxjhuDdfyJkNkPKzyC2JQUqjQ3VqTJQiqBut1uPB4PXq+3Ta+dGRUVhdfrbVJbYwwulwu32x3kqkSkLdtaVs3dc3+izOvnzrHdObZLrNMlyWEwXi9mxWLMl3Ng3fe1D/Y7Guu352EdOwIrSv9XiDRHSAVjy7KIjo52uoyg09WtItJSyr1+FvxYxmurCrGAe7OPoE9y2/+cbWtMtRfz3iuYhZ+BpwpSUrF+ez7WyJOxkjs7XZ5ImxFSwVhERJrPGMOagio+31jK4tzdVPsNvZPc3DQqnfT4SKfLk0NkfsrBfu4RyM/FGn4S1gnjoc8AzRkWCQIFYxGRNqK0ysfcnF3M2rSLbburiYlwcUpGAuN6dyQzSb9ib22MbWNmvYd55yWIi8d14/9iDTjW6bJE2jQFYxGRVsxvG1bmVzBrUynf5JXjNzCgUzTnDuzCqCM6EBWuUcXWxng9sGMb9sz/q51HfOxwXBdfhxUX73RpIm2egrGISCtUUF7DnJxSZm/aRWGlj/ioMM7ol8S4zARt6RzijK8GinZC0Q5M4Q4o3AGFBb/c3r2rtmGUG+vi67BOGNemL0gXCSUKxiIirUSN37B0625mbdzFivzarXwHd4nlsqGdOa5rByLCFJ5CgbH9UFJUP+wW7sAU1QZgSotg77Xpw8IgqVPtBXXHHA/JnWtv9xmAldTJuTci0g4pGIuIhLi8Mi+zN+5i7uZd7PL4SY4JZ+KgZE7JSCA1ThfTtTRjDOwqgaJ9g29B7e3ineD3//ICy4LE5Nqw228QpKTW3k6u/ZPEJCxXmHNvSETqKBiLiIQor8/mgYVbWZFfgcuCYV3jGN+7I8d2iSXMpdHhlmRqajCvPIXZ9F8oKoCa6voN4jvWht2efSDrhNrbKamQ0hmSOmGFRzhSt4gcGgVjEZEQtWpHJSvyK5jQP4kz+yeRGK2PbKeYeR/Wbqox+Diso7P2Cr6pkNQZK0rzukXaAn3KioiEqJxiDwATByUTE6FftTvFVOzGfPQGDBxC2HV3OF2OiASR1vEREQlRG4s9pHeIVCh2mPnoDaiqwnX2JU6XIiJBpmAsIhKiNhV76K2NORxlfzkHM+eD2q2Xu/V0uhwRCTJNpRARCUG7PD4KK31kJGnuqhOMMZhP38a8/SL0H4z1+yucLklEWoCCsYhICNr08/xibeXc8oxtY2b+H2b2+1jDRmNd9j9aVUKknVAwFhEJQesKqwDIUDBuceaVf2EWfop1yhlYEy/HcmnWoUh7oWAsIhJi8sq8vLe2mMFpMcRF6sK7lmR2bsd88VltKJ50hbZiFmln9GOwiEgIqfbbPLxoGxFhLm4Y0cXpctods/AzsCysX/1OoVikHVIwFhEJIS8sL2BziZf/GdGF5BjNa21JpqYGs2hW7SYeiclOlyMiDlAwFhEJEUtyd/PR+lJ+2y+RrK5xTpfT/qz7DsocO8NPAAAgAElEQVTLcI3+ldOViIhDFIxFRELAzooanliST2aSm4uP6ex0Oe2S2fZT7Y2MI50tREQco2AsIuIwv2145Mtt+G34fyekExGmua2OyM+DDglYsRqtF2mvFIxFRBz22qpC1u6sYsrxaXTpEOl0Oe2S8fsxWzZBl25OlyIiDlIwFhFx0A87Kpm5uohTMhIY0zPe6XLaJVNTg/3MQ5C3Geu4E50uR0QcpHWMRUQcUl7t59HF20jrEMEfslKdLqddMtVe7KcfgNXLsSZdgevEXztdkog4SMFYRMQBxhie/mY7JVU+/vqrHkRH6Bd4Lc14KrH/eR+sX4118XW4Ro93uiQRcZiCsYiIA+ZtLmPRlt1cODiFPsnRTpfTLplZ79eG4sv/iOt4TaEQEc0xFhFpcfm7q/n30h0c1Tma3w3QRhJOMbk5kNpVoVhE6igYi4i0IJ9tePTLbYRZcOPIdMJcWprNMfm5kN7d6SpEJIQoGIuItKB31hSxvsjDNcel0SlWWz47xVSWQ0E+VhcFYxH5hYKxiEgLmptTxuC0GEZraTbHGJ8P+98PgeXCOuZ4p8sRkRCiYCwi0kJ2lFezbXc1w7pqZzWnGGMwrz0Da1ZiXTQFq2cfp0sSkRCiVSlERFrIyvxKAI7tEutwJe2TqanGzH4fs+BTrF+fjWtUttMliUiIUTAWEWkhK/IrSIkJp2u8tn1uCaayHDatw2z4AbNhDfy4AXw+OHY41oSLnC5PREKQgrGISAvw24bvd1QwsnsHLEsrUQSDKSnCbFwDe4Lw1i1gDISFQY/eWCefgdVnAAwciuXSTEIR2Z+CsYhIC9hQ5KGi2tY0igAxxsD2rZgNP8DGNbVBuHBH7ZNRbsjshzV0JFbvAdDrSKyoKGcLFpFWQcFYRKQFrMyvwGXB0WkKxs1lz/kQ89HrsHtX7QMdEqDPAKxTTq8Nwt0zsMLCnC1SRFolBWMRkRaQV+alc2wEHaIU2JrD+P2Y916Bzl2wJlyE1ecoSE3X9BQRCQgFYxGRFrDL46ejWx+5zbZpHVRV4DrtHKwhI52uRkTaGF19ICLSAko9PjpGa7S4uczqb2svput/jNOliEgbpGAsItICdnn8JERpxLi5zLpVkHEkVnSM06WISBvUpE/plStX8vzzz2PbNqeccgpnnXVWvecLCwt58sknqaiowLZtzj//fIYMGRKUgkVEWhu/bSjz+jVi3EzGGMjPxRpxstOliEgb1Wgwtm2b6dOnc8cdd5CcnMztt99OVlYW3bp1q2vz1ltvMWLECMaPH09eXh4PPPCAgrGIyM92e/0Y0Ihxc5UWg6cKunR3uhIRaaManUqxceNG0tLSSE1NJTw8nJEjR7J06dJ6bSzLorKydqvTyspKEhMTg1OtiEgrVOrxAdDRrRHjZsn7EQArrauzdYhIm9Xo8EVxcTHJycl195OTk9mwYUO9Nueeey733nsvn376KV6vlzvvvPOAx5o9ezazZ88G4MEHHyQlJaU5tbda4eHh7fa9B5L6MXDUl4HRUD/O37oNgGN6pZGSpLmxjTlQPxrbpuTTNzHxHUnOGo4rWutBN4X+bQeG+jEwWkM/BuT3el9++SUnnXQSZ5xxBuvXr+eJJ57gkUcewbXPlpvZ2dlkZ2fX3S8sLAzE6VudlJSUdvveA0n9GDjqy8BoqB/nrNtOt/hIYu1KCgsrHaisdTlQP9pffI5Z/wPWpf9DcUUVVFQ5VF3ron/bgaF+DAwn+zE9Pb1J7RqdSpGUlERRUVHd/aKiIpKSkuq1mTt3LiNGjACgb9++1NTUsHv37kOpV0SkTdrt9bN6RyXHd4tzupRWy+wuw7z1IvQ9CmvEWKfLEZE2rNFgnJmZSX5+PgUFBfh8PhYvXkxWVla9NikpKaxevRqAvLw8ampqiI+PD07FIiKtyLdby7ENDO/ewelSWi3z5Syo2I3r/Gu0w52IBFWjUynCwsK47LLLuO+++7Btm7Fjx9K9e3def/11MjMzycrK4uKLL+bf//43H330EQBTpkzRh5eICLAkbzfJ0eH0TnY7XUrrte0n6JiM1fUIpysRkTauSXOMhwwZst/ya5MmTaq73a1bN+65557AViYi0sp5fTbLt1VwSkYCLg0WHDazfStoJQoRaQHa+U5EJEhWbq+g2m80jaK5dmzVEm0i0iIUjEVEgmRHeQ0AvZM0jeJwmWovVFZAYmgv8SQibYOCsYhIkHh9NgBR4fqoPWwV5bV/xmnUXUSCT5/WIiJB4vEZXBYoFzdDRRkAVqxWOhKR4NPHtYhIkHj9NlFhLq3S0wxm2eLaG4nJB28oIhIACsYiIkFS7TNEhSsUHy6zcgnmw9exRp4Cvfo6XY6ItAMKxiIiQeL12ZpffJjMtp+wn/s79OyDdaE29hCRlqFPbBGRIPH4baLCFOgOlfF6sZ96ACIjcV1zO1ZEpNMliUg7oWAsIhIkO8prSI6JcLqMVqfi/Vdhx1Zcf7gZK0nLtIlIy1EwFhEJghq/zU+lXjISo5wupVUxpUVUvv0yDBmB1X+w0+WISDujYCwiEgS5u6rxG8jQ5h6HxLzzMsbnw3X2JU6XIiLtkIKxiEgQ5JR4AOiVqGDcVPZnb2MWzyHmjIlYnbs4XY6ItEMKxiIiQZBT4sUdbtGlg+YYN8YYg/3Oy5g3X8AaNpq4869yuiQRaafCnS5ARKQt2lzsoWdHNy4tM3ZQxrYxrz+Hmfsh1ujxtUuzheu/JhFxhkaMRUQCrMZv2FziJSNJF941xvznmdpQPO5MrIuuxXKFOV2SiLRjCsYiIgE2b/Muqnw2WelxTpcS0syyLzHzP8bKPhPr3Mu0iYeIOE7BWEQkgHy2YebqInonuRmSHut0OSHLFBdiz3gSevTGOnuyQrGIhAQFYxGRAJq/eRcFFTWcd3SKwl4DjG1jP/8Y+GpqN/HQnGIRCREKxiIiAeLz27zx82jxUI0WN8h8NQ/WfY816Qqs1HSnyxERqaNgLCISIJ+t28mO8homDUrWaHEDTLUX8+7L0LMP1ujxTpcjIlKPgrGISAD4bMMLS3PJTIpiWFdddNcQM+cDKC3Cdc6l+uFBREKOgrGISAAs2lLGtl0eJg3S3OKGmO+XYj55EwYfh3XkQKfLERHZj654EBEJgDUFVcS7wzlOo8X7MTu3Y7/+HHz3DaR1wzXxcqdLEhE5IAVjEZEA2FrmpWdijEaL92KqvZhP3sJ8+haEhWGdcwnWKWdghWubbBEJTQrGIiIBkFtWzejMeKfLCBlm1TLsV56GogKs48ZgnXMpVmKy02WJiByUgrGISDPt9vrZ5fHTIzHa6VJCgikuxH7yXuicjuvm+7COHOR0SSIiTaJgLCLSTFvLqgHokRgD2M4WEwLMwk/BtnFdfydWpzSnyxERaTKtSiEi0kx5ZV4AeiRpxNjU1GAWfgZHD1MoFpFWR8FYRKSZtpZVE+6ySIt3O12K48w3C2D3LlwnneZ0KSIih0zBWESkmSqqbTpEugh3te8VKUxZKebN56FXXxhwjNPliIgcMgVjEZFm8huDS8u0Yb/6L/BU4bpkKpZL/72ISOujTy4RkWayjSGsnX+amm8XwbLFWL89Hyv9CKfLERE5LO38o1xEpPlsm3Y/YmzP+RC6dMcaP8HpUkREDpuCsYhIM9VOpXC6CofVVENKKlZYmNOViIgcNgVjEZFmso1GjPH7QfOKRaSV06eYiEgztfcRY1OQD2UlCsYi0upp5zsRkWaqqrGJjmh/UwiMrwbz2TuYj96AsDBco8c7XZKISLMoGIuINFOZ109KTITTZbQos2EN9ktPQn4uDBmJ6/d/wEpMdrosEZFmUTAWEWmmMq+fjMT2seudKd6J+fB1zBefQ1InXNfdiTV4mNNliYgEhIKxiEgzGGPY7fUTH9V2p1IYrxez4ivM4jmw7nuwLKxfTcA64zysqPbxA4GItA8KxiIizeD1G6r9ps0FY2MMbFqLWTwXs/QL8FRBcmes0ydhjTgZq1Oa0yWKiAScgrGISDOUefwAxLvbRjA2RTsxX83FfDUXCvIhyo01dBTWyJOhz1Ha6llE2jQFYxGRZijx+ADoENl6g7Gp9mJWLMF8Obt2qoQxcOQgrN9MxBoyEssd7XSJIiItQsFYRKQZZm8qJcJl0TeldYVHYwxs2Yj5cjbm64VQVfHzVInfY408GSsl1ekSRURanIKxiMhhKqqsYW7OLsZldiQxunV8nJrduzBL5teODm/dAhGRWENHYo3Khr4DNVVCRNq11vFJLiISgt5dW4xtYMKAJKdLaZT57yrsuR/Cd0vB74NefbEunII1bDRWTKzT5YmIhAQFYxGRw1Dm8fHZhlLG9IwnNS7S6XIaZIzBfDwT8+7L0CEB65TTsUZmY3U9wunSRERCjoKxiMhh+OC/JVT7DeccFbq7vZmaasyMf2KWzMc67kSsyddhRUY5XZaISMhSMBYROUSVNX4+Wl/C8O5xdE8IzaBpykqxn7ofNq3DOutCrNPOxbIsp8sSEQlpCsYiIodozqZdVFTbnB2io8XG58P+621QWojr6luxho5yuiQRkVZBlx+LiByiHeU1xEa46JMcoku0lZdBwTasCRcpFIuIHAIFYxGRQ2QDrlCelVBTXftnTJyzdYiItDIKxiIih8i2TWjP190TjCNCc/6ziEioUjAWETlEBgjlXGyWLQbASujocCUiIq2LgrGIyCEyJnQ/PM0PKzAf/Adr+Fjoc5TT5YiItCqh+tkuIhKy/CY0p1KYop3Yzz0M6UfU7moXgjWKiIQyBWMRkUNkm9CcSmG/+A/w+3FdcztWlOYXi4gcKgVjEZFDtH13NSkxEU6Xsb9tuVhDRmKlpjtdiYhIq6RgLCJyCGxj2FziJTMpBEdkbT+Ea98mEZHDpWAsInIIdpTXUOWzyUh0O11KPcbvB78PXPpYFxE5XBpaEBE5BJuKPQBkJIVGMDaeSsyiWZjZH0BlBcQnOl2SiEir1aRgvHLlSp5//nls2+aUU07hrLPO2q/N4sWLmTlzJpZl0aNHD2644YaAFysi4rScYg9hFhyREOloHaZoJ2buh5gvPoOqSug9ANfEy+GY4xytS0SkNWs0GNu2zfTp07njjjtITk7m9ttvJysri27dutW1yc/P59133+Wee+4hLi6OXbt2BbVoERGn5JR4OaJjFBFhzkxZMD9uwMx6D/PtIgCsoaOwxp2J1auvI/WIiLQljQbjjRs3kpaWRmpqKgAjR45k6dKl9YLxnDlz+NWvfkVcXBwACQkJQSpXRMRZm0s8DEmPc+Tc9mvPYuZ8ANExWNm/xTr5dKzkzo7UIiLSFjUajIuLi0lOTq67n5yczIYNG+q12bZtGwB33nkntm1z7rnncswxx+x3rNmzZzN79mwAHnzwQVJSUppVfGsVHh7ebt97IKkfA0d92TS2MZR61tEjJf6A/RXsfizavB6r71F0vOsxXDGxQTuP0/T3MXDUl4GhfgyM1tCPAbn4zrZt8vPzueuuuyguLuauu+7i4YcfJja2/gd3dnY22dnZdfcLCwsDcfpWJyUlpd2+90BSPwaO+rJpKmv8tTd8ngP2V7D70V9ehtWzD8WVVVBZFbTzOE1/HwNHfRkY6sfAcLIf09Obtr57o5PkkpKSKCoqqrtfVFREUlLSfm2ysrIIDw+nc+fOdOnShfz8/EMsWUQktFXV2ABEh4c5U4CnCtzRzpxbRKQdaDQYZ2Zmkp+fT0FBAT6fj8WLF5OVlVWvzXHHHccPP/wAQFlZGfn5+XVzkkVE2orKPcE4ouUvvLMXz4GyUtCcYhGRoGl0KkVYWBiXXXYZ9913H7ZtM3bsWLp3787rr79OZmYmWVlZDB48mO+++44bb7wRl8vFhRdeSIcOHVqifhGRFrNnxDimhYOx+e4bzItPQP/BWOP2Xy5TREQCo0lzjIcMGcKQIUPqPTZp0qS625ZlMXnyZCZPnhzY6kREQogTI8Zm/Wrsfz8ER2TimnI7VkREi51bRKS90d6hIiJN9Msc45b56DRlpdj/vA+SO+GaeheWO6ZFzisi0l4pGIuINFFumReA1LiWGbU1330DVRW4/nAzVof4FjmniEh7pmAsItJEm4o9pHeIIDayZValMKuXQWIKdM9okfOJiLR3CsYiIk2UU+whI8ndIucyPh+sWYk1cAiWZbXIOUVE2jsFYxGRJijz+imo8JHZUsH46wXgqcI65vgWOZ+IiCgYi4g0SU6xB6BFgrHxejHvvgy9+sKgrMZfICIiAaFgLCLSBBv3BOPEFgjGs9+D0iJc51yqaRQiIi1IwVhEpAlyij10jo0gLiq4F94ZTxXmk7fgmOFYfY8K6rlERKQ+BWMRkSYo8/pJiWnSnkjNs3M7eKtwDT8x+OcSEZF6FIxFRJrA47OJaomNPUqLav/smBz8c4mISD0KxiIiTeD12bjDgz/f15T8HIwTFYxFRFqagrGISBN4/YaosBb4yFz3PURFQ3xi8M8lIiL1KBiLiDRBS0ylMNt+wny7COvk32CFt8B8ZhERqUfBWESkCVpiKoX56A2IjMIad1ZQzyMiIgemYCwi0gi/bfD6TFBHjE3hDszSL7DG/garQ3zQziMiIg1TMBYRaUReWTUG6NIhMngn2bIRjMHKOiF45xARkYNSMBYRacSGoioA+qYEb9c7s31r7Y3U9KCdQ0REDk7BWESkEesLPcRGukgP5ohxfi50TMZyRwfvHCIiclAKxiIijVhfVEWf5GhcVuAvvjNVldgvPYn5egFW7/4BP76IiDSd1gMSETkIj89mS6mXc46KC/ixzerl2C/9E0qKscafhfXbCwJ+DhERaToFYxGRg9hU5ME2cGRK4KY4mMpyzBv/h/lyNqR1w3Xrg1iZ/QJ2fBEROTwKxiIiB7H+5wvv+iQH5sI7k7cZ+4l7akeJTz0b64zzsCKCOHdZRESaTMFYROQgNhR5SI2LIMHd/I9Ls/Y77KcfgKhoXLf/DatXnwBUKCIigaJgLCJyEBuLPfROav5osf31Aszzj0NqOq4b7sJK6hSA6kREJJC0KoWISAPKPD52lNfQu5nTKOzZ72OeewQy+9XOJ1YoFhEJSRoxFhFpwMZiD0CzRoxNVSVm5v/BoCxc19ym+cQiIiFMI8YiIg3YWPRzMG7OiPHGtWDbuMadqVAsIhLiFIxFRBqwodhD1/hIYiLCDvsY5r+rICwcMrQcm4hIqFMwFhFpwKYAXHhn1n0PvfpgRUUFqCoREQkWBWMRkQZUVtvEu5sxWrztJ9iyEeuY4QGsSkREgkXBWESkAYbmfUiaRbMgLAxrxNhAlSQiIkGkYCwi0gBjDJZlHd5rfTWYr+bB4OOx4jsGuDIREQkGBWMRkQaY5rz2g9ehvAzXib8OWD0iIhJcCsYiIg0wBlyHMWBs1q/GfDITa9QpWAOOCXxhIiISFArGIiINOJwRY1NRjj39UeiUhvX7KwNek4iIBI+CsYjIAdjGYBuD6xDnGJu3X4RdJbiuuBnLHR2k6kREJBgUjEVEDiCvrBrbQHqHiCa/xtTUYJYuwjruRKxefYJYnYiIBIOCsYjIAazbWQVA/04xTX5N9Q/LoaoCa8iIYJUlIiJBpGAsInIAa3dWkhAVRpdDGDH2fr0QotygC+5ERFolBWMRkQNYu7OKfp2im7yOsfFU4vliNtbRw7Aitf2ziEhrpGAsIrKP0iof+btr6N+p6RfPmYWfYSp2Y2X/NoiViYhIMCkYi4jsY23hoc0vNjU1mFnvETFwCFbGkcEsTUREgkjBWERkH//dWUWEyyIzqWlTIsw3C6C0mNizLwpyZSIiEkwKxiIi+9heXkNqXAQRYU37iDQLPoUu3YkcfFyQKxMRkWBSMBYR2UdxVQ1JMeFNamtyN8Pm9Vhjxjf5Qj0REQlNCsYiIvsoqvSR0tRg/MVnEB6BNXxskKsSEZFgUzAWEdmLbQwlVT6Sopu2frH57hs4ehhWXHyQKxMRkWBTMBYR2csujx+/geQmjBib8jIoLsTK6NsClYmISLApGIuI7KWo0gdAcnQTplL8lAOA1T0jmCWJiEgLUTAWEdlLcVUNQKMX35nKCuy5H9beOULBWESkLWja1SUiIu2Ex2cAiA5veNzA/HcV9v89BqVFWL+7WPOLRUTaCAVjEZG9+O3aYBzm2n/pNVNTjXn3Zcys96BTF1y3/lU73YmItCEKxiIie/H9HIzD9wnGZvMG7Bf/AVu3YJ10KtY5l2JFuZ0oUUREgkTBWERkL/sGY1O8E/POS5gl8yEhCdfUu7AGDXWwQhERCRYFYxGRvewJxq7qKuxP38PMeheMwTrtXKxfn40VHeNwhSIiEiwKxiIie/H5bQBc996IKS3AOu5ErN9dhJXc2eHKREQk2BSMRUR+ZnaVUL5gNiQcQ3hKZ1xTbsHqpc07RETaC61jLCICmLzNeB64lTnRGQx0e3Hfcp9CsYhIO6NgLCLtnvluKfaDtzGn41GURMYzaVRvLGv/5dpERKRt01QKEWnX7DkfYl5/lpoj+vBun1PpFxfFoFRdYCci0h5pxFhE2i2zbDHmtWdg8PEsPOc2dnpsJg5M1mixiEg71aRgvHLlSm644Qauv/563n333QbbLVmyhIkTJ7Jp06aAFSgiEgwmbzP2849BxpGYK27mrf/uIjPJzZD0WKdLExERhzQajG3bZvr06UybNo2///3vfPnll+Tl5e3Xrqqqik8++YQ+ffoEpVARkUAx5WXYT94P7hhc19zGom1VbC+v0WixiEg712gw3rhxI2lpaaSmphIeHs7IkSNZunTpfu1ef/11zjzzTCIiIoJSqIhIIJi132H/bRqUFuGacjtWx2Q+WFdCj4QojusW53R5IiLioEYvvisuLiY5ObnufnJyMhs2bKjXJicnh8LCQoYMGcL777/f4LFmz57N7NmzAXjwwQdJSUk53LpbtfDw8Hb73gNJ/Rg47aEvfdtyKX/hCbxLF+Hq3IX42x8iashwAHbXbGZotwQ6d+rUrHO0h35sCerHwFFfBob6MTBaQz82e1UK27aZMWMGU6ZMabRtdnY22dnZdfcLCwube/pWKSUlpd2+90BSPwZOW+5LU1mO+fB1zNyPICIC63eTIfsMdkdEsvvn9+z3+/F6vc3ug7bcjy1J/Rg46svAUD8GhpP9mJ6e3qR2jQbjpKQkioqK6u4XFRWRlJRUd9/j8ZCbm8v//u//AlBaWspDDz3ELbfcQmZm5qHWLSISEMa2MV98jnn3JagoxzphHNZZF2DFJ+7fFtDUYhERaTQYZ2Zmkp+fT0FBAUlJSSxevJipU6fWPR8TE8P06dPr7t99991cdNFFCsUi4hhTkI/94hOwfjUcOQjXxMuxjshouL1pweJERCRkNRqMw8LCuOyyy7jvvvuwbZuxY8fSvXt3Xn/9dTIzM8nKymqJOkVEGmVsGzP3Q8w7L0FYGNbk67FGZTe60oQBNGAsIiJNmmM8ZMgQhgwZUu+xSZMmHbDt3Xff3eyiREQOldm+FfvFf8DGtTAoC9eFU7CSmniRhzG4NJdCRKTd05bQItLqmfU/YD9+F4RHYF36P1gjxh7SesS2plKIiAgKxiLSypmtP2E/eS8kdcZ10z1YHZMbf9FebGMor/YTF9mkjUBFRKQN0/8EItJqmeJC7MfvhogoXP9z9yGHYoDyahu/gY7RGicQEWnvFIxFpFUyVZXY//hfqKrAdcNdWMmdD+s4pR4fAB3dCsYiIu2dgrGItErm7RmwLRfXlGlY3Xsd9nFKq/YE47BAlSYiIq2UgrGItDpm0zrMgk+wTv4NVv/BzTpWqccPaMRYREQUjEWklTE+H/ZLT0LHZKyzLmj28XZ5NGIsIiK1FIxFpNUwpUXY/3oQtm7Bdf5VWO6YZh+z1OMnzIK4KAVjEZH2Tr87FJGQZ2wbs2gW5s0XwFeDde6lWMccH5Bjl1T56OgO1wYfIiKiYCwioc1s31o7dWL9ajhyEK6LrsVKTQ/Y8UuqfFqqTUREAAVjEQlh9vxPMK8/B5GRWBdfh3XCuEPa0a4pSjw+UmL0USgiIgrGIhLCzFsvQM/euK66FatjUlDOUVLlo0+yOyjHFhGR1kUX34lISDJeD3iqsI4eFrRQ7LcNZV6/lmoTERFAwVhEQlVZae2f8YlBO8Uurx/bQJLmGIuICArGIhKqdhUDYMV3DNop8ndXA5CoYCwiIigYi0iIMoU7am+kpAbtHJ+sLyE63MWg1OavhywiIq2fgrGIhKaCfLCsoAXjHeXVfPnTbn7VpyOxkdrcQ0REFIxFJFQV5ENSJ6yIiKAc/v11JVjAGf2CN4dZRERaFwVjEQk5pqYas2YlHJERlOOXef3M2ljKmJ7xpMQEJ3iLiEjro2AsIiHHLJkPu3fhGvuboBz/0/UleP2Gs/oHZxk4ERFpnRSMRSSkGGMws96D7r2g39EBP3613+bD9SUM6RJLz0Rt7CEiIr9QMBaRkGEK8jHP/A3yc7HGnRXw7Z/9tuG5bwvY5fEzYYBGi0VEpD4t3ikijjNlJZgP38As/BTCwrFOn4R1/JiAnqOyxs/fvtjG8vwKJvRP0hJtIiKyHwVjEXGM8VRiPn8X8/m7UFONNXo81um/D/gW0AXlNdw7P4+8Mi/XHp/G+N7B2zRERERaLwVjEXGE/fUCzOvPwe5dWENHYZ11IVZa14Cf57+FVdy3IA+f33DXyd0ZnBYb8HOIiEjboGAsIi3O/LgB8/xj0KM3ruv/jNWrT1DO8+WWMh77Kp+k6HDuyO5G94SooJxHRETaBgVjEWlRxuvFnv4oxCfimnoXVmxc4M9hDG/9UMxL3+2kf6dobh/TlQS3Pu5EROTg9D+FiLQo8+bzsH0rrj/eE5RQXOM3PPVNPnNzyhjTM57rh6cRGaYFeEREpHEKxiLSIowxmM/exsz/GGvcmVj9BwflPM98u525OWWcdwZb8YEAACAASURBVHQKkwYmB3zJNxERabsUjEUk6ExNNWbGk5gl87CyTsD6/+3deXhUdZ7v8fepSiprZauEhB0Ja3DBGJTBFaGZGZduZNy7W/tyvY7iaKPPzLW1u318ZsZp7FHptmlHp4fm2ujTF7tbrtObbSONCC6sQRZZw07IvlRIqpKq87t/VIiJBAhQqVNJPq/nyUPVOSf5ffOjKueTX37nd267r1faKfe3smJfA7eMz+buS3J7pQ0REem/FIxFpFeZ+lrsV/4N9u/G+trXsW6+s9dGcd/aVk2Cy+L2Sb5e+foiItK/KRiLSK8x5UewFz4DJ/y4Hv4OVvG0XmvrWGMrq/Y3cuv4bLJT9KNNRETOnc4eItJr7Ldfh2AA15PPY40Y3attLWsfLZ5TpNFiERE5P7pUW0R6hTl+BLasw7rx5l4PxUcag6w+0MhN47LJ0mixiIicJwVjEekV5s//De4ErOk39Xpbb22tIdFlcVtRdG8lLSIiA4uCsYhEnWlrw3y8EmvqDVgZ2b3aVrm/lQ8PNnLz+GyydBMPERG5AArGIhJ9/npoa4XR43u9qd/tqsNlwVcnaLRYREQujIKxiERfUyMAVpq3V5s50Rpmxb4GrhmZoZUoRETkgikYi0jUmfIjkQfpvRuM3y9rIBCyuXW8RotFROTCaYhFRKLGVB3H/L83Mes+gMxsGDqy19oK24bf7aqjKC+FMb7kXmtHREQGDgVjEblgpqkR8/u3MKv+AJYL629vx/qbv8NKTeu1NtcfbaKiqY1vXZ7Xa22IiMjAomAsIufNtAYx7/8W88ffQKAF6+oZWF+9Fyu792+y8dtddeSlJnDVsN6driEiIgOHgrGInBdj29g/fhZ2b4dLp+Cacz/W0BExaXvTsSa2VTRz/+V5uF1WTNoUEZH+T8FYRM6L+fgvsHs71tcfwnVD79/E46SKplZeWnuMkVlJ3Dyud9dIFhGRgUWrUojIOTMnmjC/+T9QOAHrur+JWbvBkM2C1UexDTx13VCSEvQjTEREokdnFRHpMWMM5sAe7P/zMjT5cd3791iu2PwYMcbw6voKyuqCPD5tCIO9npi0KyIiA4emUojIGZlQG+zehin9FFO6DuqqIytP3HIn1ojCmNXx7p56VpY1cNclPqYMS49ZuyIiMnAoGIvIKUygGbZtwmz+FLN1A7ScAI8HioqxZn8d65IpWN6MmNWzs6qF/9pYwRVD0rj7ktyYtSsiIgOLgrGIAGAa6yKjwps/hZ1bIBSC9Ays4qlYk6fCxMlYSUkxr6u+JcTzHx7Fl5rI49OG4LK0CoWIiPQOBWMRIVR+BPu7D0GgBfIKsKbfHAnDYyZgudyO1bWtopmfflpOU2uY52eNxJvkXC0iItL/KRiLCP4lL4MB13dfhJFjsBwelT3RGub1zVX8aW89+emJPDN9GKNzdNtnERHpXQrGIgOc2bqB1vVrsG7/FtaosU6Xw6eH/by6voL6QIjZE3O459JckrUsm4iIxICCscgAZkIh7P/7M9xDR2Bm3OpoLXUtIf5zQwUfHfIzKiuJp68fylhfiqM1iYjIwKJgLDKQVR2HynLSHnmaEwmJjpRgjOH9sgaWbKokGDJ847JcbivykaBbPYuISIwpGIsMZM1NALiyfY40f9zfyk/XHeez480U5aXwyNQChmXEfuULERERUDAWGdhaTgBgpcX2hhlh2/DbXbW8uaWaBJfFw1fmM2tMlpZiExERRykYiwxgpqkRAFeaN6bt/m5XHUs2VXHlsHQempKPL9WZaRwiIiKd6VJvkYHs4D7weHAPHhbTZsv9rXg9Lp6+bqhCsYiIxA0FY5EBzOzbGVm3OCG2fzwKhm2SE1yOr5csIiLSmYKxyABlggE4VIY1ekLM2w6EDMmJ+vEjIiLxRWcmkQHIGIN54z8gHMKafGXM2w+02bpph4iIxJ0e/f20tLSUJUuWYNs2M2bMYPbs2V32/+53v+P999/H7XaTkZHBww8/TF5eXq8ULCIXzqz8PeaTv2B99V6sMUUxbz8QsklSMBYRkThz1jOTbdssXryYp59+moULF7J27VqOHDnS5ZhRo0axYMECXnjhBaZOncobb7zRawWLyIUxu7dh3vovuOxKrJvvjHn7wZBNS8gm2a35xSIiEl/OOmK8d+9eCgoKyM/PB2DatGmsX7+eYcO+uIr94osv7ng8duxYPvzww14oVUQulDEGe8mPIW8wrrmPY7nOb9TWNobmVpum1jD+1jBNrTb+YJgTJ58Hw/jb9zcFw+3H2TQFw7TZBoCRmbqRh4iIxJezBuPa2lp8vi/uiuXz+dizZ89pj1+5ciWTJ0/udt+KFStYsWIFAAsWLCA3N/dc6+0XEhISBuz3Hk3qx3MXrq6guroC7wOPkzpiJG1hm8ZAiMMNQepaPTQG2mgMhPAHQzQGIh/+QIjGYFvk30CIxmCIpmCI9nzbrZREFxlJiXiTE/Ame8jLSCAjOfLhTUrAm5zAX43KIdfbv8KxXpPRoX6MHvVldKgfo6Mv9GNU12havXo1ZWVlPPvss93unzlzJjNnzux4Xl1dHc3m+4zc3NwB+71Hk/oxwhhDS8imKdg+Qtsxamvjb20fxT05altTR1PJfJoODabpp2sJhE6fbi0g3eMiPclNuifyMTrLQ3pSMukeN96O7S68Hnen41wkunswEh30Ux30R68j4oBek9Ghfowe9WV0qB+jw8l+HDJkSI+OO2swzsnJoaampuN5TU0NOTk5pxz32WefsXz5cp599lkSE7Vgv8i5CtumfSrCF1MQ/O1B92To7TxNofO0hfAZRm8TXRbpSW68Hhfpzc3kBRsYPWQ83uSE9u1uBvuyMK3NXUJuaqJLt2gWEZEB5azBuLCwkPLyciorK8nJyeGjjz7iscce63LM/v37+dnPfsbTTz9NZmZmrxUr0hcEQ+0hNhiZe9sxitvp+ckR3MjjSMg90Waf8eumJrraR2oj/+amJnUauXXhTXKT5okE3ZPP0z3ujtUfzOdbsH+8AC67EvfVt3X52hoNERER6UEwdrvdzJ07l+eeew7btpk+fTrDhw9n2bJlFBYWUlJSwhtvvEEgEOCll14CIifZJ598steLF+kttjE0t9mdRm3tTheRnbygrGvIPTmK23qG4Vu3RWS6QXtozU5OYHhm5HFkpNbVMW3hZLD1elykedy4Xec/emuOHcL+jwWQPxTX/Y+e99cRERHpz3o0x7i4uJji4uIu2+66666Ox9///vejW5VIFBljOOZvv6istbtRW/tL0xYio7dnurgsOcHqCLDpSW6GZni6PD8Zcr0ed6ftLlIcuA2yaajDfvmfwePB9dgzWKnpMW1fRESkr4jqxXci8SZsG378cTkfHGg8ZV93F5cNTvd0M2obCbhpSV9MU+jRxWVxwrz1c/A34PrfP8DyDXK6HBERkbilYCz9Vsg2vLT2GGsP+fm7ohwuKUiLBOH2aQupnv5/cZkxBrNrK9blU7FGjnG6HBERkbimYCz9UlvY8OLao3x8uIm5xYP42sRTV1IZEGqroaEWCic4XYmIiEjcUzCWfqctbPPDNcdYd6SJB64YxK0TBl4oNsEgHNiN+fQDAKzR4x2uSEREJP4pGEu/0hq2WbD6KBuPneDvp+Rz07hsp0uKCeNvgL2fY/buwOzZAYf2QTgc2TmmCIaOcrQ+ERGRvkDBWPqNYMjm31YfpbT8BPOuLOCvx2Y5XVKvMMZAVTlmz+ewdwdm7w44fjSyMyERLhqLNes2rLFFMHoCVppWoRAREekJBWPpF5rbwvxg9VG2Hm/m0akFzCzsP6HY2DYc2tc+GhwJwzTWR3ameWHMRKyrZ2KNKYKRY7B050kREZHzomAsfVJ9S4hte6tZt6+CHVUtlNUGMMC3/2ow00f3/bsvGmPgwF7MutWYDWugvv227Ln5WEWXw9iJkSBcMAzL1XeWjhMREYlnCsYS94wxHG1s5fOqFnZUtfB5VTPl/jYAEl0WY33J3FbkY8rQdCbkpThc7fkzxsDRg5j1H2LWfwhVxyEhAS6+AuuK+7HGX4KV7XO6TBERkX5LwVjiTlvYZl9tkB1VzXxe1cLOqhYag5ELybxJboryUpg1JotpYwfjcwX61M02umMqjmHWr8as+xDKD4PLBRMuw7r5zsj6w7pTnYiISEwoGIvjmoJhdla3sKMyEoT31ARoa78f8xBvIlOGpjMxL4WJg1IY6vV03FI5NzeD6upWJ0u/IKZsF/abr0ZWkAAYNwnrxoewiqdhZfSfOdIiIiJ9hYKxxJQxhsoTbeyobOHz9mkRhxoi4dZtQWFOMjeNy2LioFQm5qaQldJ/X6Jm7ftw/AjWHXOxSq7Bysl1uiQREZEBrf+mDokLYduwvy7I5+3TInZUtVDXEgIgLdHFhLwUrh2VQVFeKmN9ySQl9O1pEefCVByFYaNwzZrtdCkiIiKCgrFEWcg2bKto5vOqZnZUtbC7uoVAKDItYlBaApfkp1KUl8LEvBSGZybhdlkOV+ygynKs8Zc4XYWIiIi0UzCWqFr40THWHPTjsmBkVhIzRmcyMS+ViYNSyE3V+ronmWAA6qohf7DTpYiIiEg7BWOJmm0Vzaw56Gf2xBzuusRHaqLb6ZLiV/ud6qzBIxwuRERERE5SMJaoCNuGxRsryE1N4N5LcwfUXOHzYcoPRR4MHuZsISIiItJB6UWiYmVZA2V1Qe6/fJBCcU8cOQhuNwzSVAoREZF4oQQjF6y5LcwbW6qYkJvCtSO9TpcT90z5EcyqP8CES7ESNO9aREQkXigYywX79bYa6gNhHigZ1HHzDemeCQaxX3sePEm4vvWY0+WIiIhIJwrGckEqmlp5Z2cd0y/KYKwvxely4p755atw7BCu//kEVpbP6XJERESkE118JxfknZ11uCz45uQ8p0uJa6b5BOaXr2E+WYV1851Yky53uiQRERH5EgVjuSCHG4KMykrCpzWKT8vs3oa9eCHU12DdejfWLXc5XZKIiIh0Q8FYLshxfysT81KdLiMumbY2zDtvYt5bDnkFuJ58Hmv0eKfLEhERkdNQMJbz1hY2VDeHKPBqtPjLTGMd9o+ehcP7sa77a6w75mIlaw62iIhIPFMwlvNWeaIN20BBusfpUuKKCYex//MFqDiK65HvYk2+yumSREREpAe0KoWct3J/KwCDNWLchXnnTdi1Fevr8xSKRURE+hAFYzlvx5vag7FGjDuYLeswf/w11rWzcE270elyRERE5BxoKoWcs7BtWFnWwG+215KR5CYz2e10SXHBGIP95qsw/CKsex50uhwRERE5RwrG0mPGGD490sTS0iqONLYyzpfMAyX5utvdSY31UFeNNWs2VqJG0UVERPoaBWPpke2Vzby+uYpd1S0MzfDwneuGMnVYukJxZ0cPAGANG+VoGSIiInJ+FIzljA7UBVhaWsWGYyfISUngkasKmDE6E7dLgbgzEwphNn8SeTJ0lKO1iIiIyPlRMJZuVTa18cutVfylrJHURBf3Tc7jlvHZJCXoes3OjDFQ+in226/D8aNQ/FdY3gynyxIREZHzoGAsXTQGw/x6WzW/312PBcyemMPfTfLhTdIFdl9mynZh/3oJ7NkBBcNwPfJduOxKp8sSERGR86RgLAAEQzb/vbOWt3fUEgjZ3Dg6k7svySUvTWsUf5mpPIZZ/gZmwxrwZmJ9/WGsa2dhufXLg4iISF+mYCwA/Me64/xlfyNXDUvnG5flMSIryemS4oqxbdi+GXvVH2DrBkj0YN1yF9Zf34aVnOp0eSIiIhIFCsbC0cZWPjjQyNcmZDP3inyny4krxt+IWftnzAfvQnUFZGRh3XQH1g1/i5Xlc7o8ERERiSIFY+FX26pJcFnMKVLQg/YL6sp2YVb9MTJdItQG4y7GmnM/1uVXYSVoeomIiEh/pGA8wJX7I6PFt47PJitl4L4cjB2Gg/sw2zdjNn8Mh8ogOQXr2q9gXX8T1tARTpcoIiIivWzgJiEB4K1tNSS4LG4bgKPFpqYSs6MUtm/GfL4FmpsiO0aOiVxQN/V6zR8WEREZQBSMB7Byfyur9jdw87hssgfAaLEJtMCubZgdmzE7NkfWHQbI8mFdfhUUXY418TIsb6azhYqIiIgj+n8akm4ZY/jVthrclsVtRTlOl9NrzJEDmC3rIiPD+3ZCOAQeD4y7BOv6v8EquhwGD9etrUVERETBeKA51BBkzcFG1hz0c7SxlVvGZ+NL7Z8Xk5naKux//jYYAyNGY33la1hFk2FMEVZi//yeRURE5PwpGA8A5f5WPjzYyJoDfg42BLGASfmp3Do+m5mF/XfagNn7ORiD68kFWGOKnC5HRERE4pyCcT9V0dTK2oN+1hxqZF9tEICJeSn8r5JBTBuRQc4AmFPM/t2Q6IFR45yuRERERPqAAZCOBo7q5rZIGD7YyO6aAABjfcnMLR7EtBHeAXd7Z7NvJ4wsxErQy1xERETOTomhj6trCfHRoUgY3lHVAsBF2UncNzmPa0Z6yU/3OFyhM8yhfbB/N9bsbzhdioiIiPQRCsZ9UGMgxMeHm/jwYCPbK5uxDYzI9HDvpblcMzKDoRkDMwx3Zv/+LUhJw5p+k9OliIiISB+hYNxHtIZtVh+IrCax5fgJbANDvB5un+Tj2pEZjMhKcrrEuGGOHoRNH2PdchdWarrT5YiIiEgfoWDcR/yitIrf7qxjUFoit03M4ZqRGVyUnaT1d7/E2GHsX/4nJKVgzfyq0+WIiIhIH6Jg3AcYY/j0sJ+SIWl874ZhCsNnYP77l7BrK9b/+DZWmtfpckRERKQPcTldgJzdUX8rlSdClAxNVyg+A7NtE+YPv8K6eiauaTOcLkdERET6GI0Y9wGbj50AoHhImsOVOMcYA4EW8De0f9TTbIexy492bDPbNsGQEVj3/L3T5YqIiEgfpGDcB2wuP8EQr6ffLb1mWoPgbwR/fSTYngy9jZHga/yNHSGYxgYItXX5fP/JB8kp4M2EEaNxff1hrCRdiCgiIiLnTsE4zgVDNlsrmpk1JsvpUs7KhELQ1AhNkXBrOofapkZMY32nEd+GyAhwdxI9kaDb/mENGQEZmeDNAm8GljcLMjLJGXkRtW1hrMT+9QuDiIiIOEPBOM7tqGqhNWy4fLBz0yhMOAxlu6Chtn0Ut32Et31kl5Mjuyf83X8BtxvSTwbdDKzcgvag2x58T4bgjEjwJSmlR3Op3bm5WNXVUf5uRUREZKBSMI5z2yuacVtwcX5qzNs2oTbMx3/B/OFXUF3xxQ7LgjTvF8F26MhTR3S9mV+E35Q0LJeu8xQREZH4pmAc56qb28hJSSA5IXbB0rS1Ydb+GfPH30BtFYwcgzXnfqwhwyMjumkZWG53zOoRERERiQUF4zhX1xIiOyU2/02mNYj58D3Mu7+B+loonIDrm/NgUrGWiRMREZF+T8E4ztW2hBiS0fOLy0w4DMGWyIVtwUDk30ALBFswge62Rx6bQAsc3AuN9TDuYlxzH4cJlyoQi4iIyIDRo2BcWlrKkiVLsG2bGTNmMHv27C7729raWLRoEWVlZXi9XubPn8+gQYN6peD+xrS1fRFkvxRaTbCF2sYCigLl2Mv/0qOAS1trzxq2LEhKjix1lpQS+bdwAq6ZX8Uad3HvftMiIiIiceiswdi2bRYvXsz3vvc9fD4fTz31FCUlJQwbNqzjmJUrV5KWlsZPfvIT1q5dy5tvvsnjjz/eq4U7wRgDra0QbIZA4NQR1zME3M7bqtqC2M3NkW3h0Gnba3Ul0HTdv5G9cz3m8KpIeO0cZJNTID0Dq2N78inHWJ23d/68RI8uiBMRERHp5KzBeO/evRQUFJCfnw/AtGnTWL9+fZdgvGHDBu644w4Apk6dys9//nOMMXH3Z3jTfAIOl0EggAk0twfZwOmDbOftJ481ds8aS0iE5OSuYTQ5FbJ8eDKzCGJ1CrOpkJzcHmJTIp+XnEKD7YEP/fju+Aaucd+Ou/4UERER6U/OGoxra2vx+Xwdz30+H3v27DntMW63m9TUVPx+PxkZGVEu9wId2Y/9wne73+dJ6jrqmhS5m5qVV9DtSCzJKVjdbo+EYSvh9F2bmZtLdQ/W362ragb85KQnKxSLiIiI9LKYXny3YsUKVqxYAcCCBQvIzc2NZfPYKVcQ+uefYKWkYiWnYKWkRR4nJcd0+bGEhIQefe/F3hAvz8lgbF4aGcmJMaisb+lpP8rZqS+jQ/0YHerH6FFfRof6MTr6Qj+eNRjn5ORQU1PT8bympoacnJxuj/H5fITDYZqbm/F6vad8rZkzZzJz5syO5z0ZNY26wSO/eGyA5pbIRwzl9nDEGGBkCrQ2NVDd1MtF9UHn0o9yZurL6FA/Rof6MXrUl9GhfowOJ/txyJAhPTrurFdfFRYWUl5eTmVlJaFQiI8++oiSkpIux1xxxRWsWrUKgE8++YRJkybpT/8iIiIi0qecdcTY7XYzd+5cnnvuOWzbZvr06QwfPpxly5ZRWFhISUkJN954I4sWLeLRRx8lPT2d+fPnx6J2EREREZGo6dEc4+LiYoqLi7tsu+uuuzoeezwennjiiehWJiIiIiISQ1rIVkREREQEBWMREREREUDBWEREREQEUDAWEREREQEUjEVEREREAAVjERERERFAwVhEREREBFAwFhEREREBFIxFRERERAAFYxERERERQMFYRERERARQMBYRERERAcAyxhinixARERERcZpGjB3wne98x+kS+gX1Y/SoL6ND/Rgd6sfoUV9Gh/oxOvpCPyoYi4iIiIigYCwiIiIiAoD72WeffdbpIgai0aNHO11Cv6B+jB71ZXSoH6ND/Rg96svoUD9GR7z3oy6+ExERERFBUylERERERAAFYxERERERABKcLmAgWLp0KRs3biQhIYH8/HzmzZtHWlraKcc98sgjJCcn43K5cLvdLFiwwIFq409paSlLlizBtm1mzJjB7Nmzu+xva2tj0aJFlJWV4fV6mT9/PoMGDXKo2vhUXV3NT3/6U+rr67Esi5kzZ3LTTTd1OWb79u388Ic/7Oi7q666ittvv92JcuPe2d6rxhiWLFnC5s2bSUpKYt68eXE/ry7Wjh07xsKFCzueV1ZWcuedd3LzzTd3bNNr8vReeeUVNm3aRGZmJi+++CIATU1NLFy4kKqqKvLy8nj88cdJT08/5XNXrVrF22+/DcCcOXO44YYbYll6XOmuH3XOPnfd9eNbb73F+++/T0ZGBgD33HMPxcXFp3zu2c7xMWek15WWlppQKGSMMWbp0qVm6dKl3R43b94809DQEMvS4l44HDb/8A//YI4fP27a2trMP/7jP5rDhw93Oebdd981r732mjHGmDVr1piXXnrJiVLjWm1trdm3b58xxpjm5mbz2GOPndKP27ZtMz/4wQ+cKK/POdt7dePGjea5554ztm2bXbt2maeeeiqG1fU94XDYPPDAA6aysrLLdr0mT2/79u1m37595oknnujYtnTpUrN8+XJjjDHLly/v9lzj9/vNI488Yvx+f5fHA1V3/ahz9rnrrh+XLVtm3nnnnTN+Xk/O8bGmqRQxcNlll+F2uwEYN24ctbW1DlfUd+zdu5eCggLy8/NJSEhg2rRprF+/vssxGzZs6BjxmDp1Ktu2bcPomtIusrOzO0YsU1JSGDp0qF6HvWjDhg1cd911WJbFuHHjOHHiBHV1dU6XFbe2bt1KQUEBeXl5TpfSZxQVFZ0yGrx+/Xquv/56AK6//vpTflZCZHTu0ksvJT09nfT0dC699FJKS0tjUnM86q4fdc4+d931Y0/05Bwfa5pKEWMrV65k2rRpp93/3HPPAfCVr3yFmTNnxqqsuFVbW4vP5+t47vP52LNnz2mPcbvdpKam4vf7O/58I11VVlayf/9+xowZc8q+3bt380//9E9kZ2fzzW9+k+HDhztQYd9wpvdqbW0tubm5Hc99Ph+1tbVkZ2fHtMa+Yu3atVx99dXd7tNrsucaGho6XmNZWVk0NDSccsyXf6bm5OQo+J2BztkX5k9/+hOrV69m9OjR3HfffaeE556c42NNwThK/uVf/oX6+vpTtt99991MmTIFgLfffhu3282111572q+Rk5NDQ0MD//qv/8qQIUMoKirq1bplYAkEArz44ot861vfIjU1tcu+iy66iFdeeYXk5GQ2bdrEv//7v/Pyyy87VGl803s1ekKhEBs3buTee+89ZZ9ek+fPsiwsy3K6jD5N5+wLM2vWrI5rApYtW8YvfvEL5s2b53BVZ6dgHCXf//73z7h/1apVbNy4kWeeeea0P6xycnIAyMzMZMqUKezdu3fAv8lycnKoqanpeF5TU9PRT18+xufzEQ6HaW5uxuv1xrrUuBcKhXjxxRe59tprueqqq07Z3zkoFxcXs3jxYhobGzXy3o2zvVdzcnKorq7ueN7d61YiNm/ezEUXXURWVtYp+/SaPDeZmZnU1dWRnZ1NXV1dt/2Uk5PDjh07Op7X1tYO+PNMd3TOvnCd39MzZszg+eefP+WYnpzjY01zjGOgtLSUd955hyeffJKkpKRujwkEArS0tHQ8/uyzzxgxYkQsy4xLhYWFlJeXU1lZSSgU4qOPPqKkpKTLMVdccQWrVq0C4JNPPmHSpEkaKfkSYwyvvvoqQ4cO5ZZbbun2mPr6+o652Xv37sW2bf2C0Y2evFdLSkpYvXo1xhh2795NamqqplGcxpmmUeg1eW5KSkr44IMPAPjggw86/lrZ2eTJk9myZQtNTU00NTWxZcsWJk+eHOtS45rO2dHR+bqKdevWdTsNqifn+FjTne9i4NFHHyUUCnXMrRk7diwPPvggtbW1vPbaazz11FNUVFTwwgsvABAOh7nmmmuYM2eOk2XHjU2bNvH6669j2zbTp09nzpw5LFu2jMLCQkpKSmhtbWXRokXs37+f9PR05s+fT35+vtNlgGN0hwAAARNJREFUx5WdO3fyzDPPMGLEiI5fGu65556OUc1Zs2bx7rvv8t577+F2u/F4PNx3332MHz/eybLj0uneq++99x4Q6UtjDIsXL2bLli14PB7mzZtHYWGhk2XHpUAgwLx581i0aFHH6HDnftRr8vR+9KMfsWPHDvx+P5mZmdx5551MmTKFhQsXUl1d3WW5tn379vHnP/+Zhx56CIjMm12+fDkQWa5t+vTpTn4rjuquH5cvX65z9jnqrh+3b9/OgQMHsCyLvLw8HnzwQbKzs7v0I3R/jneSgrGIiIiICJpKISIiIiICKBiLiIiIiAAKxiIiIiIigIKxiIiIiAigYCwiIiIiAigYi4iIiIgACsYiIiIiIgD8fwj3XJbLs3FgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x504 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 100\n",
    "x_bimodal_100 = np.concatenate((np.random.normal(-1, 1, int(0.1 * N)),\n",
    "                    np.random.normal(5, 1, int(0.4 * N))))[:, np.newaxis]\n",
    "\n",
    "def ks_plot_comp(data_1, data_2):\n",
    "    '''\n",
    "    Data entereted must be the same size.\n",
    "    '''\n",
    "    length = len(data_1)\n",
    "    plt.figure(figsize=(12, 7))\n",
    "    plt.plot(np.sort(data_1), np.linspace(0, 1, len(data_1), endpoint=False))\n",
    "    plt.plot(np.sort(data_2), np.linspace(0, 1, len(data_2), endpoint=False))\n",
    "    plt.legend('top right')\n",
    "    plt.legend(['Data_1', 'Data_2'])\n",
    "    plt.title('Comparing 2 CDFs for KS-Test')\n",
    "    \n",
    "ks_plot_comp(x_100, x_bimodal_100[:,0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Ks_2sampResult(statistic=0.35, pvalue=0.0003814088466521276)"
      ]
     },
     "execution_count": 164,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.ks_2samp(x_100, x_bimodal_100[:,0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 168,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AndersonResult(statistic=0.3521093053080939, critical_values=array([0.501, 0.57 , 0.684, 0.798, 0.95 ]), significance_level=array([15. , 10. ,  5. ,  2.5,  1. ]))\n",
      "AndersonResult(statistic=0.5486337673481927, critical_values=array([0.538, 0.613, 0.736, 0.858, 1.021]), significance_level=array([15. , 10. ,  5. ,  2.5,  1. ]))\n",
      "AndersonResult(statistic=0.22102316806527256, critical_values=array([0.555, 0.632, 0.759, 0.885, 1.053]), significance_level=array([15. , 10. ,  5. ,  2.5,  1. ]))\n",
      "AndersonResult(statistic=0.127392173654016, critical_values=array([0.574, 0.653, 0.784, 0.914, 1.088]), significance_level=array([15. , 10. ,  5. ,  2.5,  1. ]))\n"
     ]
    }
   ],
   "source": [
    "# Anderson Test\n",
    "anderson_results_10 = stats.anderson(x_10, dist='norm')\n",
    "anderson_results_50 = stats.anderson(x_50, dist='norm')\n",
    "anderson_results_100 = stats.anderson(x_100, dist='norm')\n",
    "anderson_results_1000 = stats.anderson(x_1000, dist='norm')\n",
    "\n",
    "print(anderson_results_10)\n",
    "print(anderson_results_50)\n",
    "print(anderson_results_100)\n",
    "print(anderson_results_1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 173,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "AndersonResult(statistic=4.648178071389843, critical_values=array([0.424, 0.56 , 0.657, 0.765, 0.901, 1.005]), significance_level=array([25. , 10. ,  5. ,  2.5,  1. ,  0.5]))"
      ]
     },
     "execution_count": 173,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.anderson(x_bimodal_100[:,0], dist='logistic')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}