{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# IntroStat Week 5\n", "\n", "Welcome to the 5th lecture in IntroStat\n", "\n", "During the lectures we will present both slides and notebooks. \n", "\n", "This is the notebook used in the lecture in week 5.\n" ] }, { "cell_type": "code", "execution_count": 354, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy.stats as stats" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulation: Sample from normal distribution" ] }, { "cell_type": "code", "execution_count": 355, "metadata": {}, "outputs": [], "source": [ "np.random.seed(24)" ] }, { "cell_type": "code", "execution_count": 374, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# (repeat this cell many times)\n", "mu = 100\n", "sigma = 12\n", "n = 10\n", "data = stats.norm.rvs(mu, sigma, size=n)\n", "x = np.arange(70,130,0.1)\n", "plt.xlim(70,130)\n", "plt.plot(x, .2*np.sqrt(2*np.pi*sigma**2)*stats.norm.pdf(x, loc=mu, scale=sigma), color=\"red\",alpha=0.3)\n", "plt.plot(x, .2*np.sqrt(2*np.pi*sigma**2/n)*stats.norm.pdf(x, loc=mu, scale=sigma/np.sqrt(n)), color=\"black\", linestyle='--',alpha=0.3)\n", "plt.hist(data, density=True, color='deepskyblue', bins=6)\n", "plt.axvline(data.mean(), linestyle='-', color=\"blue\", ymin=0, ymax=1)\n", "plt.plot([data.mean()-data.std(ddof=1)/np.sqrt(n), data.mean()+data.std(ddof=1)/np.sqrt(n)], [0.25/2,0.25/2], linestyle='-', color=\"blue\")\n", "plt.axvline(stats.t.ppf(0.025, df=n-1)*data.std(ddof=1)/np.sqrt(n)+data.mean(), linestyle='--', color=\"blue\", ymin=0, ymax=1)\n", "plt.axvline(stats.t.ppf(0.975, df=n-1)*data.std(ddof=1)/np.sqrt(n)+data.mean(), linestyle='--', color=\"blue\", ymin=0, ymax=1)\n", "plt.tick_params(left = False, right = False , labelleft = False) \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulation: ECDF and Q-Q plot" ] }, { "cell_type": "code", "execution_count": 375, "metadata": {}, "outputs": [], "source": [ "np.random.seed(24)" ] }, { "cell_type": "code", "execution_count": 401, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# (repeat this cell many times)\n", "data = stats.norm.rvs(mu, sigma, size=n)\n", "plt.ecdf(data)\n", "plt.plot(np.arange(70,130,1), stats.norm.cdf(np.arange(70,130,1), loc=mu, scale=sigma))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 402, "metadata": {}, "outputs": [], "source": [ "np.random.seed(24)" ] }, { "cell_type": "code", "execution_count": 403, "metadata": {}, "outputs": [], "source": [ "# import statsmodels.api to do automated q-q-plot\n", "import statsmodels.api as sm" ] }, { "cell_type": "code", "execution_count": 444, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# (repeat this cell many times)\n", "data = stats.norm.rvs(mu, sigma, size=n)\n", "sm.qqplot(data,line=\"q\",a=3/8) \n", "# OBS: \"a = 3/8\" is preferred for n <= 10 \n", "# (\"a = 1/2\" is preferred for n > 10) \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now try larger samples:" ] }, { "cell_type": "code", "execution_count": 585, "metadata": {}, "outputs": [ { "data": { "image/png": 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byx2nQZlKlsYREZECtm4d9O1rLg8dCs88Y22eC6joFhERkZLjXCZ8MxgMB9TvAnXaW51IREQK0u7dEB4OmZnw4INmK3cRo6JbRERESo6f3oTE38GnIrR7zeo0IiJSkOLizLm4k5MhNBQ++wxcXa1OdZGrKrpnzJhBjRo18PLyokWLFmzatOmy+y9atIg6derg5eVFgwYNWLFixSX3/e9//4vNZmPatGlXE01ERERKq4RdsP5/5nK719StXESkJDt9Gjp2hMOHoXZtc6Ryb2+rU+Uoz0X3woULiYiIYNy4cURHR9OwYUPatGlDYmJijvtv2LCBXr16MWDAALZu3Up4eDjh4eHs3Lnzon2//vprfvnlF4KDg/N+JiIiIlJ6Oezw7WBwZMGN7cyu5SIiUjKdOwfdu0N0NFSubM7FXano/qE1z0X31KlTefzxx+nXrx/16tVj1qxZ+Pj48PHHH+e4/1tvvUXbtm0ZPnw4devW5aWXXqJJkya888472fY7evQoTz/9NPPmzcPd3f3qzkZERERKp80fw9Et4OkLHaea08WIiEjJYxgwcKBZaHt7w9KlUKuW1akuK09Fd2ZmJlu2bCEsLOyfA7i4EBYWRlRUVI6viYqKyrY/QJs2bbLt73A4eOSRRxg+fDg333xzXiKJiIhIaZd2An54yVy+dyz4qseciEiJ9cor8OGH4OICn38OLVpYneiK3PKy84kTJ7Db7QQEBGRbHxAQwJ49e3J8TXx8fI77x8fHO59PmTIFNzc3hgwZkqscGRkZZGRkOJ+npqbm9hRERESkpFk9DtJTIPAWaNbf6jQiIpIDu8NgU0wSiafSqVLOi+Yh/ri65LFX0ty5MHq0uTx9OnTunP9BC0Ceiu6CsGXLFt566y2io6Ox5bIr2OTJk5kwYUIBJxMREZEi78gm2PqZudzhDXApeqPWioiUdit3xjFh6S7iUtKd64L8vBjXqR5t6wfl7iCRkdD/7z+sDh8OgwYVQNKCkafu5ZUqVcLV1ZWEhIRs6xMSEggMDMzxNYGBgZfd/8cffyQxMZHq1avj5uaGm5sbhw8f5tlnn6VGjRo5HnPUqFGkpKQ4H0eOHMnLaYiIiEhJ4LDD8mfN5UYPQ7Xm1uYREZGLrNwZx8DPorMV3ADxKekM/CyalTvjrnyQHTvMObjPnYMePeDVVwsobcHIU9Ht4eFB06ZNiYyMdK5zOBxERkYSGhqa42tCQ0Oz7Q+watUq5/6PPPIIv/32G9u2bXM+goODGT58ON9//32Ox/T09MTX1zfbQ0REREqZzR9D/G/g5Qdh461OIyIiF7A7DCYs3YWRw7bz6yYs3YXdkdMef/vzT2jfHlJT4Y47YPZs837uYiTP3csjIiLo27cvzZo1o3nz5kybNo20tDT69esHQJ8+fahatSqTJ08GYOjQodx555288cYbdOjQgQULFrB582bef/99ACpWrEjFihWzvYe7uzuBgYHcdNNN13p+IiIiUhL9e/C0e8ZA2crW5hERkYtsikm6qIX73wwgLiWdTTFJhNaqePEOqanQoYNZeNepA19/DV5eBRe4gOS56O7RowfHjx9n7NixxMfH06hRI1auXOkcLC02NhaXf/3loWXLlsyfP5/Ro0fzwgsvULt2bZYsWUL9+vXz7yxERESkdFn76t+DpzXQ4GkiIkVU4qlLF9xX3C8rC7p0gd9+g4AAc4owf/98Tlg4rmogtcGDBzN48OAct61du/aidd26daNbt265Pv6hQ4euJpaIiIiUBif2m13LAdq8osHTRESKqCrlctcqfdF+hgGPPw6rV0OZMrB8OVxivK/ioHh1hhcRKaFmzJhBjRo18PLyokWLFmzatOmy+0+bNo2bbroJb29vqlWrxjPPPEN6eu7+mixS7K0aC4YdbmwHIXdYnUZERC6heYg/QX5eXGqOKhvmKObNQy5owR4/HubMAVdX+OILaNq0gJMWLBXdIiIWW7hwIREREYwbN47o6GgaNmxImzZtSExMzHH/+fPnM3LkSMaNG8fu3bv56KOPWLhwIS+88EIhJxexQMyPsHcF2FzhvolWpxERkctwdbExrlM9gIsK7/PPx3Wql32+7o8/hol/X99nzjQHUSvmVHSLiFhs6tSpPP744/Tr14969eoxa9YsfHx8+Pjjj3Pcf8OGDfznP//hoYceokaNGrRu3ZpevXpdsXVcpNhzOOD/RpvLzfpB5RutzSMiIlfUtn4QMx9uQqBf9i7kgX5ezHy4SfZ5ur//Hp54wlx+8UWzi3kJcFX3dIuISP7IzMxky5YtjBo1yrnOxcWFsLAwoqKicnxNy5Yt+eyzz9i0aRPNmzfn4MGDrFixgkceeaSwYotcFcMwOJtlv+rXu+5chGfcNgyPspxt+RxknsvV685kXv17iojItWtbP4j76gWyKSaJxFPpVClndinP1sK9dSt07Qp2Ozz8MLz0knWB85mKbhERC504cQK73e6cAeK8gIAA9uzZk+NrHnroIU6cOEGrVq0wDINz587x3//+97LdyzMyMsjIyHA+T01NzZ8TEMklwzDoOiuKLYdPXtXrPckk0nM019ngf2kdeHdKdD4nFBGRguTqYst5WjCA2FhzarDTp+Gee+Cjj8B2qTvBix91LxcRKWbWrl3LK6+8wrvvvkt0dDSLFy9m+fLlvHSZvwhPnjwZPz8/56NatWqFmFgEzmbZr7rgBnjEdRXX2U5wzPDnI3u7qzpGs+sr4O2ukc5FRIqU5GRo1w7i4qB+fVi8GDw8rE6Vr9TSLSJioUqVKuHq6kpCQkK29QkJCQQGBub4mjFjxvDII4/w2GOPAdCgQQPS0tJ44oknePHFF3FxufjvqaNGjSIiIsL5PDU1VYW3WGbz6DB8PPJQ/Gacwvvdp+EsVOw4nq0NO13V+3q7u2IrQS0nIiLFXkYGPPAA7NoFwcGwYgX4+VmdKt+p6BYRsZCHhwdNmzYlMjKS8PBwABwOB5GRkQwePDjH15w5c+aiwtrV1SxgDMPI8TWenp54enrmX3CRa+Dj4YqPRx5+BYn6AM7+BRVvwLNJb3DVry8iIsWewwH9+8PatVCunFlwl9AGAf3UEhGxWEREBH379qVZs2Y0b96cadOmkZaWRr9+/QDo06cPVatWZfLkyQB06tSJqVOn0rhxY1q0aMGBAwcYM2YMnTp1chbfIiXGmSTY8La5fNcoFdwiIiXFiy/C/Png5gZffQUNG1qdqMDoJ5eIiMV69OjB8ePHGTt2LPHx8TRq1IiVK1c6B1eLjY3N1rI9evRobDYbo0eP5ujRo1SuXJlOnToxadIkq05BpOBseBsyUiGgPtz8oNVpREQkP8yaBa++ai5/8AHcd5+1eQqYim4RkSJg8ODBl+xOvnbt2mzP3dzcGDduHOPGjSuEZCIWOp0IG2eZy3e/CDmMVyAiIsXMsmUwaJC5PH48PPqolWkKhX56iYiISNH041TIOgNVm8JNVzdiuYiIFCGbN0OPHv/czz12rNWJCoWKbhERESl6Uo7C5o/M5XtGl6j5WkVESqWYGHMu7jNnoHVrs4t5Kbm2q+gWERGRouenN8GeCde3gpp3W51GRESuxV9/mXNxJyaaA6YtWgTu7lanKjQqukVERKRoORUP0Z+ay3c9X2paQkRESqT0dOjcGfbuNacEW7ECfH2tTlWoVHSLiIhI0bLhbbBnQLUWUON2q9OIiMjVcjigTx/4+Wfw84PvvoPgYKtTFToV3SIiIlJ0pJ2AzR+by3eMUCu3sH79ejp16kRwcDA2m40lS5Zk27548WJat25NxYoVsdlsbNu27aJjpKenM2jQICpWrEjZsmXp0qULCQkJhXMCIqXZiBH/dCX/+mu4+WarE1lCRbeIiIgUHVEzzBHLgxvDDfdanUaKgLS0NBo2bMiMGTMuub1Vq1ZMmTLlksd45plnWLp0KYsWLWLdunUcO3aMBx/UvO8iBertt+GNN8zlTz6Bu0vv+Byap1tERESKhjNJsOkDc/mO4WrlFgDatWtHu3aXnjLukUceAeDQoUM5bk9JSeGjjz5i/vz53HPPPQB88skn1K1bl19++YXbbrst3zOLlHpffw1Dh5rLr7wCvXtbm8diaukWERGRomHje5B5CgLqw03trU4jJcSWLVvIysoiLCzMua5OnTpUr16dqKioHF+TkZFBampqtoeI5NIvv8BDD4FhwJNPwsiRVieynIpuERERsV56KmycaS7f8ZxauSXfxMfH4+HhQfny5bOtDwgIID4+PsfXTJ48GT8/P+ejWrVqhZBUpAQ4cAA6dTJHLO/QAd55R9dzVHSLiIhIUbD5I0hPgUo3Qt37rU4jpdyoUaNISUlxPo4cOWJ1JJGi7/hxaNsWTpyApk1hwQJw093MoHu6RURExGrnMuCXv1u5Wz0DLq7W5pESJTAwkMzMTJKTk7O1dickJBAYGJjjazw9PfH09CykhCIlwJkzZgv3H39AjRqwbBmULWt1qiJDLd0iIiJird++gNMJUC4Y6ne1Oo2UME2bNsXd3Z3IyEjnur179xIbG0toaKiFyURKCLvdHCht40aoUMGci/sSf9AqrdTSLSIiItZxOGDDdHM59Clw87A2jxQ5p0+f5sCBA87nMTExbNu2DX9/f6pXr05SUhKxsbEcO3YMMAtqMFu4AwMD8fPzY8CAAURERODv74+vry9PP/00oaGhGrlc5FoZBjzzDCxZAp6e8O23UKeO1amKHLV0i4iIiHX2rYQT+8DTD5r0tTqNFEGbN2+mcePGNG7cGICIiAgaN27M2LFjAfj2229p3LgxHTp0AKBnz540btyYWbNmOY/x5ptv0rFjR7p06cIdd9xBYGAgixcvLvyTESlppk415+MG+PRTaNXK2jxFlFq6RURExDo/v2V+vbU/ePlam0WKpLvuugvDMC65/dFHH+XRRx+97DG8vLyYMWMGM2bMyOd0IqXYF1/Ac8+Zy6+/Dt27W5unCFNLt4iIiFgj9hc48gu4ekCL/1qdRkREcuvHH+GRR8zlp5+GiAhr8xRxKrpFRETEGj//fS93w55QToPuiIgUC3v2QOfOkJkJ4eHw5puai/sKVHSLiIhI4Tu+D/YuB2zQcojVaUREJDfi46FdOzh5Em67DebNA1dN83glKrpFRESk8P3y9721N7WHSrWtzSIiIleWlgYdO8KhQ3DDDeZI5T4+VqcqFlR0i4iISOE68xdsX2AutxxsbRYREbmyc+egRw/YsgUqVTLn4q5c2epUxYaKbhERESlUblvnwLl0CGoI1UOtjiMiIpdjGDB4MCxfDl5esHSp2dItuaaiW0RERAqNO+dw2/KR+eS2QRp8R0SkqHv1VXjvPfN6PX++eS+35ImKbhERESk07V1+weV0PJQNhJsfsDqOiIhczrx58MIL5vJbb8EDum5fDTerA4iIiEjJZBgGZ7PsAJzJtAMG/d1WmhubPwZuHtaFExGRy1uzBvr1M5effdacj1uuiopuERERyXeGYdB1VhRbDp90rmtq20dDl4MYbl7YmvazMJ2IiFzWzp1mq3ZWFnTrBq+9ZnWiYk3dy0VERCTfnc2yZyu4AQa4fWcuNOgOZSpZkEpERK7o2DFo3x5SUqBVK/j0U3BR2Xgt1NItIiIiBWrz6DDKnDmK18zNYIAt9CmrI4mIlHp2h8GmmCQST6VTpZwXzUP8cU07DR06wJEjcNNN8M035ojlck1UdIuIiEiB8vFwxXvDx2A4oObdUKWu1ZFEREq1lTvjmLB0F3Ep6c5115V1Y8l3k6m0bRsEBJhzcfv7WxeyBFHRLSIiIgUr6wxEzzWXWzxpbRYRkVJu5c44Bn4WjfHvlYbBkC9ep9KOdZzz9sZt2TIICbEqYomjzvkiIiJSoFx/XwzpyVD+eqjd2uo4Ugiio6PZsWOH8/k333xDeHg4L7zwApmZmRYmEynd7A6DCUt3ZS+4gSEbFtB9x2rsNhee7/Yi9iZNLclXUqnoFhERkQJk4L7lQ3Px1sfAxdXaOFIonnzySfbt2wfAwYMH6dmzJz4+PixatIgRI0ZYnE6k9NoUk5StSzlA1x2rifhpHgBjWg/kq6BGbIpJsiJeiaWiW0RERApME9t+XBJ2gJsXNH7Y6jhSSPbt20ejRo0AWLRoEXfccQfz589n9uzZfPXVV9aGEynFEk9lL7hbxWxl8sq3AZhxWzfmN2qX435ybXRPt4iIiBSYvm7/Zy406Ao+GpCntDAMA4fDAcDq1avp2LEjANWqVePEiRNWRhMpdnIcZdzFdlXHqlLun5HI6yYeZOaSV3B32Pm63l38744+Oe4n105Ft4iIiBSIypykvctG88mtj1sbRgpVs2bNePnllwkLC2PdunXMnDkTgJiYGAICAixOJ1J85DTKeJCfF+M61aNt/aA8H695iD9Bfl7Yjhzhk0XjKZd5lg3Vb2FE+6Fgs2EDAv3Mwl7yj7qXi4iISIHo5boGd5sd+3XNIbiR1XGkEE2bNo3o6GgGDx7Miy++yA033ADAl19+ScuWLS1OJ1I8nB9l/MJ7sONT0hn4WTQrd8bl+ZiuLjZeurMqHy8aT+DpJPZWqs5/H3iBLFd3zredj+tU76pb0iVnaukWERGR/GfPorfbagDONX0MDZ9Wutxyyy3ZRi8/73//+x+urvrXIHIllxplHMAAbMCEpbu4r15g3grkzEzCRj8FJw5z3Lci/bqNJ9WrLGC2cF9tC7pcnopuERERyXeue5cTYEvmuOFHmTqdrI4jFkhOTubLL7/kjz/+YPjw4fj7+7Nr1y4CAgKoWrWq1fFEirScRhn/NwOIS0lnU0wSobUq5u6ghgEDBsCaNVC2LP5rVvGGX/V8uVdcLk9Ft4iIiOQ7t+hPAJhvv4fHXT0sTiOF7bfffuPee++lfPnyHDp0iMcffxx/f38WL15MbGwsn376qdURRYq03I4enqdRxseMgc8+A1dX+PJLXJs0JvQq80ne6J5uERERyV/H9+Ea+xN2w8aCc/dYnUYsEBERQb9+/di/fz9eXv+Mgty+fXvWr19vYTKR4iG3o4fnepTx99+HSZPM5Q8+gDZtrjKZXA0V3SIiIpK/tpit3D84mhBHLrs9Sony66+/8uSTT160vmrVqsTHx1uQSKR4cY4yfontNsxRzHM1yviKFfDUU+byuHHQr19+xZRcUtEtIiIi+SfrLGybB8A8+70WhxGreHp6kpqaetH6ffv2UblyZQsSiRQvri42xnWqB3BR4Z2nUca3bIHu3cFuh0cfNYtuKXQqukVERCT//P41pKfg8KvOesctVqcRi9x///1MnDiRrKwsAGw2G7GxsTz//PN06dLF4nQixUPb+kHMfLgJgX7Zu5AH+nkx8+EmVx5l/NAh6NAB0tLgvvvMLuY2DZRmBQ2kJiIiIvln88cAnGvcB8dK/W2/tHrjjTfo2rUrVapU4ezZs9x5553Ex8cTGhrKpPP3lYrIFbWtH8R99QLZFJOUt1HGk5KgXTtISICGDeHLL8HdvXBCy0VUdIuIiEj+iPsN/vwVXNw5d0tvWLnV6kRiET8/P1atWsVPP/3Eb7/9xunTp2nSpAlhYWFWRxMpdlxdbLmfFgwgPR3Cw2HPHrjuOli+HHx9CyyfXNlV/Ql6xowZ1KhRAy8vL1q0aMGmTZsuu/+iRYuoU6cOXl5eNGjQgBUrVmTbPn78eOrUqUOZMmWoUKECYWFhbNy48WqiiYiIiFX+buWmbicoW8XaLFIktGrViqeeeooRI0ao4BYpDA4H9O0LP/5oFtorVkDVqlanKvXy3NK9cOFCIiIimDVrFi1atGDatGm0adOGvXv3UqXKxT9gN2zYQK9evZg8eTIdO3Zk/vz5hIeHEx0dTf369QG48cYbeeedd6hZsyZnz57lzTffpHXr1hw4cECDbYiIiBQHGadgxyJzuVl/a7OIJaZPn57rfYcMGVKASURKsZEj4YsvzK7kX38NDRpYnUgAm2EYRl5e0KJFC2699VbeeecdABwOB9WqVePpp59m5MiRF+3fo0cP0tLSWLZsmXPdbbfdRqNGjZg1a1aO75Gamoqfnx+rV6/m3nuvPPLp+f1TUlLwzWXXiRojl+dqv6t16NUOBXp8sZb+/RQPV3NtKC302Ui++/UjWB4BFWvD4F85k2Wn3tjvAdg1sQ0+HrqjrTi4lmtDSEhIrvaz2WwcPHjwauJZRtdMKRZmzIDBg83luXPh4YetzVMK5PbakKefgJmZmWzZsoVRo0Y517m4uBAWFkZUVFSOr4mKiiIiIiLbujZt2rBkyZJLvsf777+Pn58fDRs2zEs8ERERsYJhOOfmplk/jY5bSsXExFgdQaT0+uYbON+DZNIkFdxFTJ6K7hMnTmC32wkICMi2PiAggD179uT4mvj4+Bz3j4+Pz7Zu2bJl9OzZkzNnzhAUFMSqVauoVKlSjsfMyMggIyPD+TyneSBFRESkkBzbCvE7wNUDGvayOo2ISOmycSP06mXez/344/CvBlIpGopMX6+7776bbdu2ceLECT744AO6d+/Oxo0bc7xPfPLkyUyYMMGClCIiInKR6Dnm17r3g4+/tVnEMhEREbz00kuUKVPmol6OF5o6dWohpRIp4Q4cgI4d4exZaN8e3n1XvY2KoDwV3ZUqVcLV1ZWEhIRs6xMSEggMDMzxNYGBgbnav0yZMtxwww3ccMMN3HbbbdSuXZuPPvooW1f280aNGpXtYp6amkq1atXycioiIiKSHzJOw44vzeWmj1oaRay1detWsrKynMsiUsBOnDDn4j5xApo2hYULwa3ItKnKv+Tpu+Lh4UHTpk2JjIwkPDwcMAdSi4yMZPD5m/YvEBoaSmRkJMOGDXOuW7VqFaGhoZd9L4fDka0L+b95enri6emZl+giIiJSEH5fDJmnwb8W1GhldRqx0Jo1a3JcFpECcPYs3H+/2dJ9/fWwbBmULWt1KrmEPM/THRERwQcffMCcOXPYvXs3AwcOJC0tjX79+gHQp0+fbK3TQ4cOZeXKlbzxxhvs2bOH8ePHs3nzZmeRnpaWxgsvvMAvv/zC4cOH2bJlC/379+fo0aN069Ytn05TRKRomzFjBjVq1MDLy4sWLVqwadOmy+6fnJzMoEGDCAoKwtPTkxtvvJEVK1YUUlqRf9ky2/zapI+6NIpT//79OXXq1EXr09LS6N9fU8qJXBO7HXr3hqgoqFABvvsOLtHrWIqGPBfdPXr04PXXX2fs2LE0atSIbdu2sXLlSudgabGxscTFxTn3b9myJfPnz+f999+nYcOGfPnllyxZssQ5R7erqyt79uyhS5cu3HjjjXTq1Im//vqLH3/8kZtvvjmfTlNEpOhauHAhERERjBs3jujoaBo2bEibNm1ITEzMcf/MzEzuu+8+Dh06xJdffsnevXv54IMPqFq1aiEnl1Ivficc3QIubtDoIavTSBEyZ84czp49e9H6s2fP8umnn1qQSKSEMAyIiDDn4PbwMEctr1vX6lRyBVfV6X/w4MGX7E6+du3ai9Z169btkq3WXl5eLF68+GpiiIiUCFOnTuXxxx939hiaNWsWy5cv5+OPP2bkyJEX7f/xxx+TlJTEhg0bcHd3B6BGjRqFGVnEdH4AtTodoOzFA59K6ZOamophGBiGwalTp/Dy8nJus9vtrFixIsdBckUkl6ZNg+nTzeVPP4Xbb7c0juSO7rQXEbFQZmYmW7ZsyXZbjouLC2FhYURFReX4mm+//ZbQ0FAGDRrEN998Q+XKlXnooYd4/vnncXV1LazoUgIYhsHZLPvVvTjrDN7bF2AD0m95BEfmuWybz2Re5XGlWCtfvjw2mw2bzcaNN9540XabzaYZaESu1pdfwrPPmsuvvQY9elibR3JNRbeIiIVOnDiB3W533qJzXkBAAHv27MnxNQcPHuSHH36gd+/erFixggMHDvDUU0+RlZXFuHHjcnxNRkZGtsEpU1NT8+8kpFgyDIOus6LYcvjkVb3+QZf1TPVI5YijMnfMTsfg+3xOKMXRmjVrMAyDe+65h6+++gp//3+mkPPw8OD6668nODjYwoQixdTPP8PDD5vdywcNgueeszqR5IGKbhGRYsbhcFClShXef/99XF1dadq0KUePHuV///vfJYvuyZMnq3VJsjmbZb/qghugh9taABba78K4zBAxza6vgLe7emCUFnfeeScAMTExVKtWDReXPA8fJCIX2rvXHKk8IwM6d4a33tLAlcWMim4REQtVqlQJV1dXEhISsq1PSEgg8BIjkQYFBeHu7p6tK3ndunWJj48nMzMTDw+Pi14zatQoIiIinM9TU1OpVq1aPp2FFHebR4fh45H7wtj21wG839uDYXNhUMRYnip36ZZLb3dXbPrlsNS5/vrrSU5OZtOmTSQmJuJwOLJt79Onj0XJRIqZhARzLu6kJGjeHObPB91KVuyo6BYRsZCHhwdNmzYlMjKS8PBwwGzJjoyMvOSAlf/5z3+YP38+DofD2Yq0b98+goKCciy4ATw9PfH09CyQc5Diz8fDFR+PPPxKsPNzAGw3hOFdsXoBpZLibOnSpfTu3ZvTp0/j6+ub7Q8vNptNRbdIbqSlQceOEBMDNWvC0qXg42N1KrkK6vMjImKxiIgIPvjgA+bMmcPu3bsZOHAgaWlpztHM+/Tpk22gtYEDB5KUlMTQoUPZt28fy5cv55VXXmHQoEFWnYKUJvYs2DbfXG78iLVZpMh69tln6d+/P6dPnyY5OZmTJ086H0lJSVbHEyn6zp2Dnj1h82aoWBFWrgSN/F9sqaVbRMRiPXr04Pjx44wdO5b4+HgaNWrEypUrnYOrxcbGZrsvslq1anz//fc888wz3HLLLVStWpWhQ4fy/PPPW3UKUprs/z9IS4QyleHGtlankSLq6NGjDBkyBB+1yonknWHAkCGwbBl4eZkt3LVrW51KroFaukVEioDBgwdz+PBhMjIy2LhxIy1atHBuW7t2LbNnz862f2hoKL/88gvp6en88ccfvPDCC5ouTApH9Fzza8Oe4Jbz7Qwibdq0YfPmzflyrPXr19OpUyeCg4Ox2WwsWbIk23bDMBg7dixBQUF4e3sTFhbG/v37s+2TlJRE79698fX1pXz58gwYMIDTp0/nSz6RfPfaazBzpjlY2rx5EBpqdSK5RmrpFhERkdw5FW+2dAM01j25cmkdOnRg+PDh7Nq1iwYNGuDu7p5t+/3335/rY6WlpdGwYUP69+/Pgw8+eNH21157jenTpzNnzhxCQkIYM2YMbdq0YdeuXXh5eQHQu3dv4uLiWLVqFVlZWfTr148nnniC+fPnX9uJiuS3+fNh5Ehz+c03IYd/81L8qOgWERGR3Nk2Hww7VGsBlW+0Oo0UYY8//jgAEydOvGibzWbDbrfn+ljt2rWjXbt2OW4zDINp06YxevRoOnfuDMCnn35KQEAAS5YsoWfPnuzevZuVK1fy66+/0qxZMwDefvtt2rdvz+uvv655w6XoWLcO/h7PhWeegaFDrc0j+Ubdy0VEROTKDAO2fmYuN1Ert1yew+G45CMvBfeVxMTEEB8fT1hYmHOdn58fLVq0ICoqCoCoqCjKly/vLLgBwsLCcHFxYePGjfmWReSa7NoF4eGQmQldusDrr1udSPKRWrpFRETkyg5vgKQ/wKMs1Au3Oo0IAPHx8QDOgSfPCwgIcG6Lj4+nygWjPru5ueHv7+/c50IZGRlkZGQ4n6empuZnbCnh7A6DTTFJJJ5Kp0o5L5qH+OPqYrv0C44dM+fiTk6Gli1h7lxwUdtoSaKiW0RERK5s698DqNV/EDzLWptFioW0tDTWrVtHbGwsmZmZ2bYNGTLEolS5M3nyZCZMmGB1DCmGVu6MY8LSXcSlpDvXBfl5Ma5TPdrWD7r4BadOmXNxx8bCjTfCt9+Ct3chJpbCoKJbRERELi89FX5fYi5rbm7Jha1bt9K+fXvOnDlDWloa/v7+nDhxAh8fH6pUqZJvRXdgYCAACQkJBAX9U9AkJCTQqFEj5z6JiYnZXnfu3DmSkpKcr7/QqFGjiIiIcD5PTU2lWrVq+ZJZSq6VO+MY+Fk0xgXr41PSGfhZNDMfbpK98M7Kgu7dYetWqFwZvvvOnJNbShz1WxAREZHL+30xnDsLlW6C6261Oo0UA8888wydOnXi5MmTeHt788svv3D48GGaNm3K6/l4r2pISAiBgYFERkY616WmprJx40ZC/55mKTQ0lOTkZLZs2eLc54cffsDhcGSbnvHfPD098fX1zfYQuRy7w2DC0l0XFdyAc92EpbuwO/5+ZhgwcCCsXGm2bC9bBjVrFlZcKWQqukVEROTyts4zvzZ+2Jw3VuQKtm3bxrPPPouLiwuurq5kZGRQrVo1XnvtNV544YU8Hev06dNs27aNbdu2Aebgadu2bSM2NhabzcawYcN4+eWX+fbbb9mxYwd9+vQhODiY8PBwAOrWrUvbtm15/PHH2bRpEz///DODBw+mZ8+eGrlc8s2mmKRsXcovZABxKelsikkyV7z8Mnz0kXnv9sKF0Lx54QQVS6h7uYiIiFza8b3w5yawucItPaxOI8WEu7s7Ln8PBFWlShViY2OpW7cufn5+HDlyJE/H2rx5M3fffbfz+flu33379mX27NmMGDGCtLQ0nnjiCZKTk2nVqhUrV650ztENMG/ePAYPHsy9996Li4sLXbp0Yfr06flwpiKmxFOXLrgv2m/OHBg71lzx9tvQqVMBJpOiQEW3iIiIXNr5acJubAPlAi6/r8jfGjduzK+//krt2rW58847GTt2LCdOnGDu3LnUr18/T8e66667MIycOu2abDYbEydOzHFO8PP8/f2ZP39+nt5XJC+qlPO68k5A7d82wmOPmU9GjICnnirAVFJUqHu5iIiI5MyeBdsXmMuNH7Y2ixQrr7zyinNgs0mTJlGhQgUGDhzI8ePHef/99y1OJ5L/mof4E+TnxaVuwLEBrc4co+7gR+HcOejZEyZPLsSEYiW1dIuIiEjO9q+CtEQoUxlqt7Y6jRQjzZo1cy5XqVKFlStXWphGpOC5utgY16keAz+LxgbZBlSzAYGpJ/jwq3HYTp2CO++E2bM1F3cpou+0iIiI5Ox81/JbeoCru7VZRESKuLb1g5j5cBMC/bJ3Na/leY7/Wz0Fr8Q4qFsXvv4aPD0tSilWUEu3iIiIXOx0Iuz7u3VSXcslj0JCQrBdZqT7gwcPFmIakcLTtn4Q99ULZFNMEomn0gnwdKHF049g278bAgPNubgrVLA6phQyFd0iIiJysd8WgmGHqs2gSl2r00gxM2zYsGzPs7Ky2Lp1KytXrmT48OHWhBIpJK4uNkJrVTTn4n70UYiMhDJlYPlyuP56q+OJBVR0i4iISHaG8U/X8sa9rc0ixdLQoUNzXD9jxgw2b95cyGlELDJuHHz6Kbi6wqJF0KSJ1YnEIrqnW0RERLI7Gg3H94CbF9TvYnUaKUHatWvHV199ZXUMkYL30Ufw0kvm8qxZ0K6dtXnEUiq6RUREJLutc82vde8HLz9rs0iJ8uWXX+Lv7291DJGC9d138OST5vLo0f/Myy2llrqXi4iIyD+yzsLOxeayupbLVWrcuHG2gdQMwyA+Pp7jx4/z7rvvWphMpIBFR0O3bmC3wyOPwMSJVieSIkBFt4iIiPxj9zLISAG/6lDjDqvTSDEVHh6e7bmLiwuVK1fmrrvuok6dOtaEEilohw9Dhw6Qlgb33gsffgiXGcVfSg8V3SIiIvKPbX8PoNaoF7joLjS5OuPGjbM6gkjhOnnSvG87Ph4aNICvvgIPD6tTSRGholtERERMyUfg4DpzudFD1maRYu3o0aN89dVX7Nu3Dw8PD2666Sa6d+9OBc1PLCVRRgY88ADs3g1Vq8KKFeCn8TDkHyq6RURExLT9c8CAGrdDhRpWp5Fi6t133yUiIoLMzEx8fX0BSE1NJSIigg8//JBevXphGAbbtm2jcePGFqcVuUYOB/TrB+vWQblyZsF93XVWp5IiRv3GRERExPzFcds8c7nxw9ZmkWJr+fLlDBkyhMGDB3P06FGSk5NJTk7m6NGjPPnkk/Tt25effvqJ3r17s3TpUqvjily7F16Azz8HNzezS/ktt1idSIogtXSLiIgUMsMwOJtltzTDmcwL3j92A5w8BB7lzKnCRK7C//73P0aOHMnLL7+cbX1QUBBTp07Fx8eH++67j8DAQCZPnmxRSpF8MnMmTJliLn/4Idx3n7V5pMhS0S0iIlKIDMOg66wothw+aXWU7Lb+3cpd/wHw8LE2ixRb0dHRvPfee5fc/sgjj/DKK6+wbt06qlevXojJRPLZ0qUweLC5PHEi9O1rbR4p0tS9XEREpBCdzbIXqYK72fUV8HacgV1LzBWN1LVcrp7dbsfd3f2S293d3fH29lbBLcXbr79Cz57mbTkDBsDo0VYnkiJOLd0iIiIW2Tw6DB8PV0szeLu7Yts6F7LOQMXaUK25pXmkeLv55pv55ptveOaZZ3LcvmTJEm6++eZCTiWSjw4ehI4d4cwZaNPG7GKuubjlClR0i4iIWMTHwxUfjyLwo/h81/JGD+mXR7kmgwYNYuDAgXh6evLEE0/g5mb++z537hzvvfceo0eP5t1337U4pchV+usvcy7uxERo3BgWLYLL9OwQOa8I/KQXERERy5w4AEd+AZsLNOxldRop5vr27cuOHTsYPHgwo0aNolatWhiGwcGDBzl9+jRDhgzh0UcftTqmSN6dPQv33w/79kH16rBsmTlFmEguqOgWEREpzc5PE1brXvANsjaLlAivv/46Xbt25fPPP2f//v0A3HHHHfTq1YvbbrvN4nQiV8HhgD59YMMG8PMz5+IODrY6lRQjKrpFRERKK4cdti8wlzU3t+Sj2267TQW2lBzPPQdffgkeHrBkCWhcAskjjV4uIiJSWv2xBk4dA+8KcFM7q9OIiBQ9b70Fb75pLs+eDXfdZWUaKaZUdIuIiJRWW+eaXxt0BzdPa7OIiBQ1ixfD+ZH4X30VemncC7k66l5eQGqMXG51hCLt0KsdCvT4+vwvrbh/NgX9b0ek1DiTBHtXmMuNe1ubRUSkqNmwAXr3BsOAgQNhxAirE0kxppZuERGR0mjHl2DPhIAGENTQ6jQiIkXHvn3mSOXp6eac3NOnazpFuSYqukVEREqjbZ+ZX9XKLQXk3LlzrF69mvfee49Tp04BcOzYMU6fPm1xMpHLSEw05+L+6y+49VZYsADc1DlYro3+BYmIiJQ28Tsgbju4uJv3c4vks8OHD9O2bVtiY2PJyMjgvvvuo1y5ckyZMoWMjAxmzZpldUSRi505A506wcGDEBICS5dCmTJWp5ISQC3dIiIipc3Wv+fmrtMeylS0NouUSEOHDqVZs2acPHkSb29v5/oHHniAyMhIC5OJXILdDg89BJs2gb8/fPcdBARYnUpKCLV0i4iIlCbnMuC3heZy40eszSIl1o8//siGDRvw8PDItr5GjRocPXrUolQil2AYMHQofPMNeHqaX2+6yepUUoKopVtERKQ02fsdnE2CckFQ6x6r00gJ5XA4sNvtF63/888/KVeunAWJRC7jjTdgxgxzsLTPPoNWraxOJCWMim4REZHSZOvfA6g17AUurtZmkRKrdevWTJs2zfncZrNx+vRpxo0bR/v27a0LJnKhhQth+HBz+Y03oGtXa/NIiaTu5SIiIqVFylH44+/7aRs/bG0WKdHeeOMN2rRpQ7169UhPT+ehhx5i//79VKpUic8//9zqeCKm9euhTx9zecgQGDbM0jhScqnoFhERKS22fw6GA6q3hIq1rE4jJdh1113H9u3bWbBgAb/99hunT59mwIAB9O7dO9vAaiKW2b0bOneGzEx44AGYOlVzcUuBUdEtIiJSGhgGbPt71HK1ckshcHNz4+GH9W9NiqD4eHMu7uRkuO02mDcPXHW7jRQcFd0iIiKlQWwUJB0Ej7JQr7PVaaQE+vbbb3O97/3331+ASUQu4/Rp6NABDh+GG26Ab78F9b6QAqaiW0REpDQ4P4DazeHgWdbSKFIyhYeH52o/m82W48jmIgXu3Dno0QOio6FSJXMu7sqVrU4lpYCKbhERkZIuPRV+/9pc1tzcUkAcDofVEUQuzTDgqadgxQqzZXvZMrOlW6QQXNWUYTNmzKBGjRp4eXnRokULNm3adNn9Fy1aRJ06dfDy8qJBgwasWLHCuS0rK4vnn3+eBg0aUKZMGYKDg+nTpw/Hjh27mmgiIiJyod8XQ9YZqFgbqrWwOo2ISOGbPBk++MAcLO3zz6GFroVSePJcdC9cuJCIiAjGjRtHdHQ0DRs2pE2bNiQmJua4/4YNG+jVqxcDBgxg69athIeHEx4ezs6dOwE4c+YM0dHRjBkzhujoaBYvXszevXt1r4+IiEh+iZ5rfm3yiEbnlUITGRlJx44dqVWrFrVq1aJjx46sXr3a6lhSGn32Gbz4ork8fbo5arlIIcpz0T116lQef/xx+vXrR7169Zg1axY+Pj58/PHHOe7/1ltv0bZtW4YPH07dunV56aWXaNKkCe+88w4Afn5+rFq1iu7du3PTTTdx22238c4777BlyxZiY2Ov7exERERKu8TdcHQzuLhBw15Wp5FS4t1336Vt27aUK1eOoUOHMnToUHx9fWnfvj0zZsywOp6UJj/8AP37m8vPPQeDB1ubR0qlPN3TnZmZyZYtWxg1apRznYuLC2FhYURFReX4mqioKCIiIrKta9OmDUuWLLnk+6SkpGCz2Shfvnxe4omIiMiFzrdy39gWylaxNouUGq+88gpvvvkmg/9V4AwZMoT//Oc/vPLKKwwaNMjCdFJq7NxpzsGdlWUOoDZlitWJpJTKU0v3iRMnsNvtBAQEZFsfEBBAfHx8jq+Jj4/P0/7p6ek8//zz9OrVC19f3xz3ycjIIDU1NdtDRERELnAuA7Z/bi5rADUpRMnJybRt2/ai9a1btyYlJcWCRFLqHD1qzsWdmgq33w6zZ4PLVQ1nJXLNitS/vKysLLp3745hGMycOfOS+02ePBk/Pz/no1q1aoWYUkREpJjYuwLOJkHZQLghzOo0Uorcf//9fP311xet/+abb+jYsaMFiaRUSU015+L+80+oUweWLAEvr8u+xO4wiPrjL77ZdpSoP/7C7jAKJ6uUCnnqXl6pUiVcXV1JSEjItj4hIYHAwMAcXxMYGJir/c8X3IcPH+aHH364ZCs3wKhRo7J1WU9NTVXhLSLF2owZM/jf//5HfHw8DRs25O2336Z58+ZXfN2CBQvo1asXnTt3vuxtO1JKne9a3ughcNUsoVJ46tWrx6RJk1i7di2hoaEA/PLLL/z88888++yzTJ8+3bnvkCFDrIopJVFWFnTtCtu3Q0CAORe3v/9lX7JyZxwTlu4iLiXduS7Iz4txnerRtn5QQSeWUiBPP4E9PDxo2rQpkZGRhIeHA+acjJGRkdnu2fm30NBQIiMjGTZsmHPdqlWrnBdg+Kfg3r9/P2vWrKFixYqXzeHp6Ymnp2deoouIFFnnZ4WYNWsWLVq0YNq0abRp04a9e/dSpcql78E9dOgQzz33HLfffnshppViI/kI/PGDudz4YWuzSKnz0UcfUaFCBXbt2sWuXbuc68uXL89HH33kfG6z2VR0S/4xDHjiCVi1CsqUgeXLoUaNy75k5c44Bn4WzYXt2vEp6Qz8LJqZDzdR4S3XLM9/9o6IiKBv3740a9aM5s2bM23aNNLS0ujXrx8Affr0oWrVqkyePBmAoUOHcuedd/LGG2/QoUMHFixYwObNm3n//fcBs+Du2rUr0dHRLFu2DLvd7rzf29/fHw8Pj/w6VxGRIunfs0IAzJo1i+XLl/Pxxx8zcuTIHF9jt9vp3bs3EyZM4McffyQ5ObkQE8vVMAyDs1l2zmTaC+cNt80HDKhxO1SsVTjvKfK3mJgYqyNIaTRhwj/3bn/xBTRtetnd7Q6DCUt3XVRwAxiADZiwdBf31QvE1UXTLcrVy3PR3aNHD44fP87YsWOJj4+nUaNGrFy50jlYWmxsLC7/GqSgZcuWzJ8/n9GjR/PCCy9Qu3ZtlixZQv369QE4evQo3377LQCNGjXK9l5r1qzhrrvuuspTExEp+q5mVgiAiRMnUqVKFQYMGMCPP/54xffJyMggIyPD+VwDUBYuwzDoOiuKLYdPFs4bOhyw7TNzWQOoiUgJZHcYbIpJIvFUOlXKedFi7Te4TJhgbpw5E9q3v+IxNsUkZetSfiEDiEtJZ1NMEqG1Lt8TV+RyruoGr8GDB1+yO/natWsvWtetWze6deuW4/41atTAMDRQgYiUTpebFWLPnj05vuann37io48+Ytu2bbl+n8mTJzPh/C8jUujOZtkvKribXV8Bb3fXgnnDg2sgORa8/KBup4J5D5HLMAyDL7/8kjVr1pCYmIjD4ci2ffHixfn6fqdOnWLMmDF8/fXXJCYm0rhxY9566y1uvfVWZ55x48bxwQcfkJyczH/+8x9mzpxJ7dq18zWHFI4L78G+PSaaW7+cYI4Q/cILZhfzXEg8demC+2r2E7mUIjV6uYiIXN6pU6d45JFH+OCDD6hUqVKuXzdq1ChSUlKcjyNHjhRgSrmczaPD2DWxDYv+G4rNVkDdFbfMNr/e0gM8fArmPUQuY9iwYTzyyCPExMRQtmzZbLPO+Pn55fv7PfbYY6xatYq5c+eyY8cOWrduTVhYGEePHgXgtddeY/r06cyaNYuNGzdSpkwZ2rRpQ3q6iqni5vw92OcL7noJB5m5ZDJuDjtf33w3K3vmfg74KuUuP6J5XvcTuRQNZSoiYqG8zgrxxx9/cOjQITp1+qf18nwLkpubG3v37qVWrYvv39UAlEWHj4crPh4F+OP3dKI5VRhAk74F9z4ilzF37lwWL15M+1x08b1WZ8+e5auvvuKbb77hjjvuAGD8+PEsXbqUmTNn8tJLLzFt2jRGjx5N586dAfj0008JCAhgyZIl9OzZs8AzSv648B7s4NREPvlyPGUzz7Kh+i08324IFZft5r6bg3J1D3bzEH+C/LyIT0nP8b5uGxDo50XzkMuPfi5yJWrpFhGx0L9nhTjv/KwQ/57l4bw6deqwY8cOtm3b5nzcf//93H333Wzbtk3TJ4o5gJrjHFRtCoH1rU4jpZSfnx81a9YslPc6d+4cdrsdrwvmYfb29uann34iJiaG+Ph4wsL+mavez8+PFi1aXHbsDCl6/n0Ptm/6aT5ZNJ6A00nsrVSd/z7wApmu7s57sHPD1cXGuE71ALPA/rfzz8d1qqdB1OSaqegWEbFYREQEH3zwAXPmzGH37t0MHDjwolkhzg+05uXlRf369bM9ypcvT7ly5ahfv75mfCjtDAOi55jLTR+1NIqUbuPHj2fChAmcPXu2wN+rXLlyhIaG8tJLL3Hs2DHsdjufffYZUVFRxMXFOWfFyWnsjPPbLpSRkUFqamq2h1jv/L3VHueymPX1K9x0Ipb4sv482m0CqV5lL9ovN9rWD2Lmw00I9Mv+R5tAPy9NFyb5Rt3LRUQsltdZIUQu6dCPkHQQPMrCzQ9anUZKse7du/P5559TpUoVatSogbu7e7bt0dHR+fp+c+fOpX///lStWhVXV1eaNGlCr1692LJly1UdT4NPFk1VynmBYTDlu7doGfsbpzy86ddtPHG+lS/eLw/a1g/ivnqB2UZDbx7irxZuyTcqukVEioC8zgrxb7Nnz87/QFI8bfm7lbtBV/Ase/l9RQpQ37592bJlCw8//DABAQEFN2jg32rVqsW6detIS0sjNTWVoKAgevToQc2aNZ3jYyQkJBAU9E+rZUJCwkXT1Z43atQoIiIinM9TU1N1+04R0DzEn/GbPueBXWvJcnHlqfBR7K7yz20M13IPtquLTdOCSYFR0S0iIlISnEmC3d+ay+paLhZbvnw533//Pa1atSrU9y1TpgxlypTh5MmTfP/997z22muEhIQQGBhIZGSks8hOTU1l48aNDBw4MMfjaPDJosn1ww94dO18AEa1fZofQ5o4t+kebCnKVHSLiIiUBNsXgD0TAm+B4MZWp5FSrlq1avj6+hba+33//fcYhsFNN93EgQMHGD58OHXq1KFfv37YbDaGDRvGyy+/TO3atQkJCWHMmDEEBwcTHh5eaBnlGi1fDn//kWT/U8/y83XtIOWfe7cD/bwY16me7sGWIklFt4iISHGXbQA1TRMm1nvjjTcYMWIEs2bNokaNGgX+fikpKYwaNYo///wTf39/unTpwqRJk5z3ko8YMYK0tDSeeOIJkpOTadWqFStXrrxoxHMpojZvhu7dweGAfv2o/c7/+MlA92BLsaGiW0REpLiLjYLje8DdBxp0szqNCA8//DBnzpyhVq1a+Pj4XDSQWlJS7qZ0yq3u3bvTvXv3S2632WxMnDiRiRMn5uv7SiGIiYEOHeDMGWjdGt57D2w2XG3oHmwpNlR0i4iIFHebPza/NugKXn7WZhEBpk2bZnUEKQmSkqBdO0hMhIYNYdEiuOAPOCLFgYpuERGR4iztBOz6xlxu1t/aLCJ/69tXtznINUpPh86dYe9eqFYNVqyAQhwnQCQ/qegWEREpzrbNMwdQC26sAdSkSEpPTyczMzPbusIcZE2KIYcD+vaFn34CPz/47jsIDrY6lchVc7E6gIiIiFwlhwM2f2Iuq5VbipC0tDQGDx5MlSpVKFOmDBUqVMj2ELms55+HL74wu5J//TXcfLPViUSuiYpuERGR4urgGjgZA55+UL+L1WlEnEaMGMEPP/zAzJkz8fT05MMPP2TChAkEBwfz6aefWh1PirJ33oHXXzeXP/kE7r7b2jwi+UDdy0VERIqr8wOoNewJHmWszSLyL0uXLuXTTz/lrrvuol+/ftx+++3ccMMNXH/99cybN4/evXtbHVGKoiVLYMgQc/mVV0D/TqSEUEu3iIhIcZR6DPZ+Zy4362dtFpELJCUlUbNmTcC8f/v8FGGtWrVi/fr1VkaTouqXX6BXLzAMeOIJGDnS6kQi+UZFt4iISHEUPRcMO1RvCVXqWp1GJJuaNWsSExMDQJ06dfjiiy8AswW8fPnyFiaTIunAAejUyRyxvEMHmDEDbDarU4nkGxXdIiIixY39HETPMZc1gJoUQf369WP79u0AjBw5khkzZuDl5cUzzzzD8OHDLU4nRcrx4+Zc3CdOQNOmsGABuOkOWClZ9C9aRESkuNn3HaQeBZ+KUO9+q9OIXOSZZ55xLoeFhbF7926io6O54YYbuOWWWyxMJkXKmTNw//1mS3eNGrBsGZQta3UqkXynoltERKS42fS++bVJX3DztDaLSC7UqFGDGjVqWB1DihK73Rwo7ZdfoEIFcy7uwECrU4kUCHUvFxERKU4S90DMerC5qGu5FDlRUVEsW7Ys27pPP/2UkJAQqlSpwhNPPEFGRoZF6aTIMAx45hlztHJPT/jmG6hTx+pUIgVGRbeIiEhx8usH5teb2kP5atZmEbnAxIkT+f33353Pd+zYwYABAwgLC2PkyJEsXbqUyZMnW5hQioQ334S33zaXP/0Ubr/d2jwiBUxFt4iISHGRngrbF5jLzZ+wNotIDrZt28a9997rfL5gwQJatGjBBx98QEREBNOnT3eOZC6l1KJF8Oyz5vL//gfdu1ubR6QQqOgWEREpLrYvgMzTUOkmCLnD6jQiFzl58iQBAQHO5+vWraNdu3bO57feeitHjhyxIpoUBT/9BI88Yi4PHvxP8S1SwqnoFhERKQ4M458B1Jo/rjlspUgKCAhwzs+dmZlJdHQ0t912m3P7qVOncHd3tyqeWGnPHnOk8owMCA+HadN0HZNSQ0W3iIhIcXBwLfy1HzzKQcOeVqcRyVH79u0ZOXIkP/74I6NGjcLHx4fb/3W/7m+//UatWrUsTCiWSEgw5+I+eRJatIB588DV1epUIoVGU4aJiIgUB5v+HkCtUS/wLGdtFpFLeOmll3jwwQe58847KVu2LHPmzMHDw8O5/eOPP6Z169YWJpRCl5YGHTvCoUNQqxYsXQo+PlanEilUKrpFRESKupOHYN935vKtj1saReRyKlWqxPr160lJSaFs2bK4XtCauWjRIsqWLWtROil0585Bjx6weTNUrGjOxV25stWpRAqdim4REZG/GYbB2Sx7vh/3TOY1HnPTB2A4oObdUPnG/AklUoD8/PxyXO/v71/IScQyhmEOlrZ8OXh5wbJlULu21alELKGiW0REBLPg7jorii2HT1odJbuMUxD9qbkcOsjaLCIiuTVlCrz3njlY2vz58K8B9URKGw2kJiIiApzNshd4wd3s+gp4u+dx8KCt8yAjFSrdCLXuvfL+IiJWmz8fRo0yl6dNgwcesDSOiNXU0i0iInKBzaPD8PHI/5F1vd1dseVlihyHHTbOMpdb/Bdc9LdyESni1qyBRx81lyMisA9+mk1//EXiqXSqlPOieYg/ri6aKkxKFxXdIiIiF/DxcMXHowj8iNy3Ek7GgFd5TRMmIkXf77+brdpZWdC1Kyv7RjBhyg/EpaQ7dwny82Jcp3q0rR9kYVCRwqU/mYuIiBRVv8w0vzbrBx5lrM0iInI5x46Zc3GnpMB//sP/jXyNgfO3ZSu4AeJT0hn4WTQrd8ZZFFSk8KnoFhERKYrifoNDP4LNVdOEiUjRduoUdOgAR47ATTdh/3oJ4/7vIEYOu55fN2HpLuyOnPYQKXlUdIuIiBRF51u5bw4Hv6qWRhERuaS/u5KzbRtUqQLffcemVNtFLdz/ZgBxKelsikkqtJgiVlLRLSIiUtScioedX5rLt2maMBEpogwD/vtf+L//Ax8fc07ukBAST1264P633O4nUtyp6BYRESlqNs4CeyZUawHXNbU6jYhIzl56CT7+2JxZYeFCaNYMgCrlvHL18tzuJ1LcqegWEREpStJT4dePzeX/DLM0iojIJc2eDePGmcszZkDHjs5NzUP8CfLz4lITg9kwRzFvHuJf0ClFigQV3SIiIkVJ9BzISIFKN8KNba1OIyJysVWr4PG/B3gcOdLsYv4vri42xnWqB3BR4X3++bhO9TRft5QaKrpFRESKinOZEPWuudzyabPLpohIUbJ9O3TpAufOQa9eMGlSjru1rR/EzIebEOiXvQt5oJ8XMx9uonm6pVRxszqAiIiI/G3nl3DqGJQNgFt6WJ1GRCS7I0egfXtzirC77oJPPrnsHwfb1g/ivnqBbIpJIvFUOlXKmV3K1cItpY2KbhERkaLA4YCfp5vLtw0EN09r84iI/FtysllwHzsG9erB11+D55WvU64uNkJrVSz4fCJFmPqtiYiIFAUHVsHx3eBRDpr2szqNiMg/MjPNLuU7d0JQEHz3HZQvb3UqkWJDRbeIiEhR8PNb5tdmj4J3eSuTiIj8wzDgscfghx+gbFlzLu7q1a1OJVKsqOgWERGx2pFNcPhncHGHFgOtTiMi8o8xY2DuXHB1hS+/hMaNrU4kUuyo6BYREbHautfMrw17gF9Va7OIiJz3/vv/jE7+/vvQpo21eUSKKRXdIiIiVjq21byf2+YCrSKsTiMiYlqxAp56ylweOxb697c2j0gxpqJbRETESutfN7826AYVa1mbRUQEYMsW6N4d7Hbo2xfGj7c6kUixpqJbRETEKvE7Yc8ywAa3P2d1GhEROHQIOnSAtDQICzO7lds0r7bItVDRLSIiYpUf3zC/3hwOlW+0NIqICCdPQrt2kJAAt9wCX30FHh5WpxIp9tysDiAiIlIqHd8Hv39tLquVW0QKid1hsCkmicRT6VQp50XzEH9cXWyQkQHh4bBnD1Stak4N5utrdVyREkFFt4iIiBV+fAMw4KYOEFjf6jQiUgqs3BnHhKW7iEtJd64L8vNiXIc6tH3lWVi/3iy0v/sOrrvOwqQiJYuKbhERkcL21x+wY5G5fOdwa7OISKmwcmccAz+LxrhgfXxKOocfHwKbFoO7OyxeDA0aWJJRpKTSPd0iIiKFbd0UMOxQuzUEN7Y6jYiUcHaHwYSluy4quAEejl7Gk5sWA+D44EO4997CDSdSClxV0T1jxgxq1KiBl5cXLVq0YNOmTZfdf9GiRdSpUwcvLy8aNGjAihUrsm1fvHgxrVu3pmLFithsNrZt23Y1sURERIq+xN3w2xfm8t0vWptFREqFTTFJ2bqUnxe2fyPjV78PwOu3P8zGVh0KO5pIqZDnonvhwoVEREQwbtw4oqOjadiwIW3atCExMTHH/Tds2ECvXr0YMGAAW7duJTw8nPDwcHbu3OncJy0tjVatWjFlypSrPxMREZHiYM0kwIC690NwI6vTiEgpkHjq4oK70bG9vP3ta7gaDj6/pTXvhPbIcT8RuXZ5LrqnTp3K448/Tr9+/ahXrx6zZs3Cx8eHjz/+OMf933rrLdq2bcvw4cOpW7cuL730Ek2aNOGdd95x7vPII48wduxYwsLCrv5MREREirpjW2H3UsCmVm6RfGK32xkzZgwhISF4e3tTq1YtXnrpJQzjn87UhmEwduxYgoKC8Pb2JiwsjP3791uYunBVKeeV7Xn1k3F8+NVEvM9lsDakKaPbDAKb7aL9RCR/5KnozszMZMuWLdmKYxcXF8LCwoiKisrxNVFRURcV023atLnk/iIipVFebtv54IMPuP3226lQoQIVKlQgLCzsirf5SBHxwyTz6y3doUoda7OIlBBTpkxh5syZvPPOO+zevZspU6bw2muv8fbbbzv3ee2115g+fTqzZs1i48aNlClThjZt2pCeXjpadpuH+BPk54UNqHAmhdmLxlHpTAo7A2oxqPPzOFxcCfIzpw8TkfyXp6L7xIkT2O12AgICsq0PCAggPj4+x9fEx8fnaf/cyMjIIDU1NdtDRKS4yuttO2vXrqVXr16sWbOGqKgoqlWrRuvWrTl69GghJ5c8if0FDqwCFze4a6TVaURKjA0bNtC5c2c6dOhAjRo16Nq1K61bt3b+MdIwDKZNm8bo0aPp3Lkzt9xyC59++inHjh1jyZIl1oYvJK4uNsZ1qodnVgYffvUSNU8e40/fyvTrOo4znj4AjOtUz5yvW0TyXbEcvXzy5Mn4+fk5H9WqVbM6kojIVcvrbTvz5s3jqaeeolGjRtSpU4cPP/wQh8NBZGRkIScvugzD4EzmuTw+7AUZCCJfMpcbPwz+NQvuvURKmZYtWxIZGcm+ffsA2L59Oz/99BPt2rUDICYmhvj4+Gw9L/38/GjRosUle16WxAaetnWrsPa3j2h6bA8pnmXo220ix8v6E+jnxcyHm9C2fpDVEUVKrDzN012pUiVcXV1JSEjItj4hIYHAwMAcXxMYGJin/XNj1KhRREREOJ+npqaq8BaRYun8bTujRo1yrrvSbTsXOnPmDFlZWfj7X7pbYEZGBhkZGc7nJeEXyEsxDIOus6LYcvik1VH+8UckHP4JXD3gDs3LLZKfRo4cSWpqKnXq1MHV1RW73c6kSZPo3bs3gLN3ZV56Xk6ePJkJEyYUbPDC9txzBK5egeHhwZFPPmdI3SZUKWd2KVcLt0jBylNLt4eHB02bNs3WmnK+dSU0NDTH14SGhl7U+rJq1apL7p8bnp6e+Pr6ZnuIiBRHV3PbzoWef/55goODLzsYZWnqIXQ2y35NBXez6yvg7e6af4Ecdvi/MebyrY+D33X5d2wR4YsvvmDevHnMnz+f6Oho5syZw+uvv86cOXOu+pijRo0iJSXF+Thy5Eg+JrbAtGnmA7DNmUP9Xp3o3KgqobUqquAWKQR5aukGiIiIoG/fvjRr1ozmzZszbdo00tLS6NevHwB9+vShatWqTJ48GYChQ4dy55138sYbb9ChQwcWLFjA5s2bef/9953HTEpKIjY2lmPHjgGwd+9ewGwlv5YWcRGRku7VV19lwYIFrF27Fi+vS486W1p7CG0eHYaPR94KaG93V2y2fPwldNs8SNwFXuXhjufy77giAsDw4cMZOXIkPXv2BKBBgwYcPnyYyZMn07dvX+fvkgkJCQQF/dOFOiEhgUaNGuV4TE9PTzw9PQs8e6H46is4f/2fMgX+/pxEpPDkueju0aMHx48fZ+zYscTHx9OoUSNWrlzpbKWJjY3FxeWfBvSWLVsyf/58Ro8ezQsvvEDt2rVZsmQJ9evXd+7z7bffOot2wHnRHDduHOPHj7/acxMRKfKu5rad815//XVeffVVVq9ezS233HLZfUvUL5B54OPhio9Hnn/U5Z+M0/DDy+bynSPARyMDi+S3M2fOZPvdE8DV1RWHwwFASEgIgYGBREZGOovs1NRUNm7cyMCBAws7buH6+Wfo3dscV+Kpp2C4bm8RscJV/SYyePBgBg8enOO2tWvXXrSuW7dudOvW7ZLHe/TRR3n00UevJoqISLH279t2wsPDgX9u27nUdRbM6W8mTZrE999/T7NmzQopreTZhrfhdAJUCDG7lotIvuvUqROTJk2ievXq3HzzzWzdupWpU6fSv39/AGw2G8OGDePll1+mdu3ahISEMGbMGIKDg53X3RJp3z64/37IyIBOnWD6dMjPXjwikmsW/vlfREQg77ftTJkyhbFjxzJ//nxq1KjhvPe7bNmylC1b1rLzkAukxsGG6eZy2Hhw87A0jkhJ9fbbbzNmzBieeuopEhMTCQ4O5sknn2Ts2LHOfUaMGEFaWhpPPPEEycnJtGrVipUrV172tpxiLTER2rWDpCS49Vb4/HNwzcexKkQkT1R0i4hYLK+37cycOZPMzEy6du2a7Ti6JaeIWTMJss5AtRZQr7PVaURKrHLlyjFt2jSm/T1QWE5sNhsTJ05k4sSJhRfMKmlp0LEjHDwINWvCsmVQpozVqURKNRXdIiJFQF5u2zl06FDBB5JrE78Dtn5mLreepC6dIlI47Hbo1Qt+/RUqVoTvvoMqVaxOJVLq5WnKMBEREbkCw4DlzwEG3PwAVLvV6kQiUhoYBgwZAkuXgqcnfPst3Hij1alEBBXdIiIi+Wv7AjjyC7iXMVu5RUQKw//+B+++a/asmTcPWra0OpGI/E1Ft4iISH45mwyrxpjLdw4Hv6qWxhGRUuLzz+H5583lqVOhSxdr84hINrqnW0REJL+snQxpx6FibbhtkNVpRKSA2B0Gm2KSSDyVTpVyXjQP8cfVxaKxG9atg/NT7w4bZj5EpEhR0S0iIpIf4nfApvfN5fb/0xRhIiXUyp1xTFi6i7iUdOe6ID8vxnWqR9v6QYUbZtcuCA+HzEx48EF4/fXCfX8RyRV1LxcREblW5wdPMxxQLxxq3W11IhEpAKt2xTPws+hsBTdAfEo6Az+LZuXOuMILExdnzsWdnGzev/3ZZ5qLW6SIUtEtIiJyrbZ+9s/gaW1esTqNiBSQV7/bg5HD+vPrJizdhd2R0x757PRp6NABYmOhdm345hvw9i749xWRq6KiW0RE5FqkxsH3L5rLd43U4GkiJVhCasYltxlAXEo6m2KSCjbEuXPQvTts3QqVK5tzcVeqVLDvKSLXREW3iIjI1TIMWP4sZKRAcGO47SmrE4mIxRJPpV95p6tlGDBwoFloe3vDsmVQq1bBvZ+I5AsV3SIiIlfr98Wwdzm4uEPnGeCq8UlFSrsq5bwK7uCTJsGHH4KLCyxYAM2bF9x7iUi+UdEtIiJyNdL+ghUjzOXbn4WAm63NIyIFLsDXk0tNDGbDHMW8eYh/wbz5p5/CmDHm8ttvw/33F8z7iEi+U9EtIiJyNVY+D2dOQJV6ZtEtIiXeyHZ1AC4qvM8/H9epXsHM1x0ZCQMGmMsjRsBTupVFpDhR0S0iIpJXe5bDjkVgc4HO72hObpFS4r56gcx8uAmBftm7kAf6eTHz4SYFM0/3jh3mHNznzkHPnjB5cv6/h4gUKN18JiIikhepcfDNYHM5dDBUbWptHhEpVG3rB3FfvUA2xSSReCqdKuXMLuUF0sL955/mXNypqXDHHTB7tnk/t4gUKyq6RUREcsvhgCUD4WwSBDaAe0ZbnUhELODqYiO0VsWCfZPUVHMu7qNHoW5dWLIEPD0L9j1FpEDoT2UiIiK59cu7cHANuHlDl4/ATb8Ai0gByMyELl3gt98gMNCcIqxCBatTichVUtEtIiKSG3G/QeQEc7nNJKh8k7V5RKRkMgx4/HFYvRrKlIHly+H6661OJSLXQEW3iIjIlWSega8eA3sm3NQBmvW3OpGIlFTjx5vTg7m6wqJF0KSJ1YlE5Bqp6BYREbkcw4AVz8GJvVA2EO5/G2wFMGCSiMhHH8HEiebyrFnmIGoiUuyp6BYREbmczR/Dtnnm9GAPvg9lCnjwJBEpnVauhCefNJdHj4bHHrM2j4jkGxXdIiIil3JkE3z3vLl87zioeae1eUSkZNq6Fbp1A7sdHnnkn9ZuESkRVHSLiIjk5HQifNEHHFlQ9374z1CrE4lISXT4MLRvD6dPw733wocf6hYWkRJGRbeIiMiF7OdgUT84FQeVboLwd/VLsIjkv5MnzYI7Ph7q14evvgIPD6tTiUg+U9EtIiLyb4YB342Awz+BRzno8Rl4lrM6lYiUNBkZ8MADsGsXVK0KK1aAn5/VqUSkALhZHUBERCQnhmFwNsue59edycz7a7LZMB02fwTY4IFZUPnGazueiMiFHA7o1w/WrYNy5cyCu1o1q1OJSAFR0S0iIkWOYRh0nRXFlsMnC/eNd34Fq8aay21egbodC/f9RaR0ePFF+PxzcHMzu5TfcovViUSkAKl7uYiIFDlns+zXXHA3u74C3u6uuX/B4Q3w9X/N5Rb/hdCnrun9RURyNGsWvPqqufzhh3DffdbmEZECp5ZuEREp0jaPDsPHIw/F89+83V2x5Xbws+P74PNeYM+EOh3NVm4Rkfy2dCkMGmQuT5gAfftam0dECoWKbhERKdJ8PFzx8SjAH1d//QGf3g/pyVC1KTz4AbjkvcgXEbmsX3+Fnj3N+7kHDIAxY6xOJCKFRN3LRUSk9Dp5GObcb04NVrkOPPQFePhYnUpESpqDB6FjRzhzBtq0gZkzNQ2hSCmioltEREqnlD9hTidI/RMq3gB9voUylaxOJSIlzV9/Qbt2kJgIjRrBokXg7m51KhEpRCq6RUSk9EmNMwvu5MNQIQT6LoVyAVanEpGSJj0dOneGffugenVYvtycIkxEShXd0y0iIqXLX3/A3HBIjoXy1c2C2zfY6lQiUtI4HNCnD/z8M/j5mXNxB+taI1IaqegWEZHS49g2+KwLnDlhtnD3WQLlq1mdSkRKouHDza7kHh6wZAncfLPViUTEIiq6RUSkdDi4Dhb0hsxTEHgLPPwVlK1idSoRKYmmT4epU83lTz6Bu+6yNI6IWEtFt4iIlHw7voQlA815uGvcDj3ng5ev1alEpCT6+msYNsxcnjwZHnrI0jgiYj0V3SIiUnI57LB6PGyYbj6ve785D7e7l6WxRKSEiooyi2zDgIED4fnnrU4kIkWAim4RESmZziTBl/3h4Brzeatn4J4x4OJqbS4RKZn274dOncwRyzt2NLuYay5uEUFFt4iIlETxO2Dhw3DyELj7QOcZUP9Bq1OJSEl1/Lg5F/dff0GzZrBgAbjp12wRMelqICIiJYfDAb+8C5ETzPu3y1c3798ObGB1MhEpqc6cMVu4//gDQkJg2TIoU8bqVCJShKjoFhGRkiHlqDlYWsw68/mNbSF8Jvj4W5tLREouu928h3vjRvD3h+++g4AAq1OJSBGjoltERIo3w4Adi2DFcEhPBjdvaPsKNO2n+ylFpOAYhjlK+TffgKen+fWmm6xOJSJFkIpuEREpvk7sh+URELPefB7c2BydvFJta3OJSMk3dSq88475x725c6FVK6sTiUgRpaJbRESKn6yz8OMb8PNb5r3bbl5wx3Pwn2Hg6m51OhEp6RwOWPP3zAivvw7dulmbR0SKNBXdIiJSfNjPwbZ5sG4KpB4119VuDe1eA/8Qa7OJSOnh4gJLlsDixSq4ReSKVHSLiEjRZxiw6xv44WX4a7+5zvc6aDsZ6nbSvdsiUvjc3KB7d6tTiEgxoKJbRESKLDfO4bpjIWx6FxJ2miu9/c2u5M0GgLuXtQFFRERErsDF6gAiIiIXSU/lcddlrPcchufSp8yC26Ms3Pk8DN0OoYNUcIsIADVq1MBms130GDRoEADp6ekMGjSIihUrUrZsWbp06UJCQoLFqUWkNFFLt4iIFA2GAbFRED0X79+/5kX3s+bqMgHYbnvSnAJMc26LyAV+/fVX7Ha78/nOnTu577776Pb3vdbPPPMMy5cvZ9GiRfj5+TF48GAefPBBfv75Z6sii0gpo6JbRESsdeIA7Poati+Avw4AYAP2Oaryob094wdNwMenjLUZRaTIqly5crbnr776KrVq1eLOO+8kJSWFjz76iPnz53PPPfcA8Mknn1C3bl1++eUXbrvtNisii0gpo6JbREQKl2FAwu+wZ7k5OFri7/9scy8D9R8kvUFvWr//F2BjvJunZVFFpHjJzMzks88+IyIiApvNxpYtW8jKyiIsLMy5T506dahevTpRUVGXLLozMjLIyMhwPk9NTS3w7CJScqnoFhGRgnc6EQ6ugz8i4Y8f4PS/7qd0cYOad0G9cLg5HDzL4cg8B3xvTVYRKbaWLFlCcnIyjz76KADx8fF4eHhQvnz5bPsFBAQQHx9/yeNMnjyZCRMmFGBSESlNVHSLiEj+sp+DE3vhz18hdiMc+QWSDmbfx90HQu6Aep3hpnbgXcGarCJSonz00Ue0a9eO4ODgazrOqFGjiIiIcD5PTU2lWrVq1xpPREqpqxq9fMaMGdSoUQMvLy9atGjBpk2bLrv/okWLqFOnDl5eXjRo0IAVK1Zk224YBmPHjiUoKAhvb2/CwsLYv3//1UQTESmW8vu6WigMA1Lj4OBa2Pg+fDsE3r8LXgmGmS1h6VDYPv/vgtsGAQ3gP0Ohzzfw/CF4aCE0ekgFt4jki8OHD7N69Woee+wx57rAwEAyMzNJTk7Otm9CQgKBgYGXPJanpye+vr7ZHiIiVyvPLd0LFy4kIiKCWbNm0aJFC6ZNm0abNm3Yu3cvVapUuWj/DRs20KtXLyZPnkzHjh2ZP38+4eHhREdHU79+fQBee+01pk+fzpw5cwgJCWHMmDG0adOGXbt24eWlKWFEpGQriOtqvjqbDH9uhuRDcPIwJB82v/71B2Seyvk1HuUguBFUawHVb4PrbgXv8vmfTUTkb5988glVqlShQ4cOznVNmzbF3d2dyMhIunTpAsDevXuJjY0lNDTUqqgiUsrYDMMw8vKCFi1acOutt/LOO+8A4HA4qFatGk8//TQjR468aP8ePXqQlpbGsmXLnOtuu+02GjVqxKxZszAMg+DgYJ599lmee+45AFJSUggICGD27Nn07NnziplSU1Px8/MjJSUl13+JrDFyea72k4Jx6NUOV97pGhT3729Bfj6l6bO5mmuDFfL7upobefpsDm+AT9rlvM3mCv4hUOlGqFwHgm6BwFugQgi4XFVnKgDOZJ6j3ljznu5dE9vg46G7oUQKQ3G5bl7I4XAQEhJCr169ePXVV7NtGzhwICtWrGD27Nn4+vry9NNPA+YfMHOruH4uIlKwcnttyNNvMZmZmWzZsoVRo0Y517m4uBAWFkZUVFSOr4mKisp2TwxAmzZtWLJkCQAxMTHEx8dnG1XSz8+PFi1aEBUVlauiW0SkuCqI62q+qxACVepB+euhwvX/fPWvaT40uriIWGz16tXExsbSv3//i7a9+eabuLi40KVLFzIyMmjTpg3vvvuuBSlFpLTKU9F94sQJ7HY7AQEB2dYHBASwZ8+eHF8THx+f4/7nR4w8//Vy+1zowmkcUlJSgLxN5+DIOJPrfSX/FfTUG8X9+1uQn09p+mzO75vHDj2FqiCuqzm5tutmGXj4EiOJn8kAMnLedg3OZJ5z/ltNTU3lnFq6RQpFcbhu5qR169aXzOzl5cWMGTOYMWPGVR///LE1dZiI/Ftur5nF8reYS03joFEliw+/aVYnKNr0+Vza1Xw2p06dws/PL9+zFCfF+boZNM3qBCKlj66b2Z06ZY5fURyumSJS+K50zcxT0V2pUiVcXV1JSEjItv5yI0AGBgZedv/zXxMSEggKCsq2T6NGjXI85oXTODgcDpKSkqhYsSI2my0vp5Rn56eMOHLkSIm7p6eknltJPS8oueeWX+dlGAanTp265qljClJBXFdzYuV1szCU1P8LhUmf4bUrCZ9hcbhuWiE4OJgjR45Qrly5EnHN/LeS8O+2sOkzy5uS/Hnl9pqZp6Lbw8ODpk2bEhkZSXh4OGD+4hYZGcngwYNzfE1oaCiRkZEMGzbMuW7VqlXOESNDQkIIDAwkMjLSWWSnpqayceNGBg4cmOMxPT098fTMfg9h+fLl83Iq16wkTx9RUs+tpJ4XlNxzy4/zKuotNQVxXc1JUbhuFoaS+n+hMOkzvHbF/TMs6tdNK7i4uHDddddZHaNAFfd/t1bQZ5Y3JfXzys01M8/dyyMiIujbty/NmjWjefPmTJs2jbS0NPr16wdAnz59qFq1KpMnTwZg6NCh3Hnnnbzxxht06NCBBQsWsHnzZt5//30AbDYbw4YN4+WXX6Z27drOKcOCg4Odv4CKiJRk+X1dFREREZGiI89Fd48ePTh+/Dhjx44lPj6eRo0asXLlSuegPrGxsbj8a5qYli1bMn/+fEaPHs0LL7xA7dq1WbJkSba5ZEeMGEFaWhpPPPEEycnJtGrVipUrV2qObhEpFQriuioiIiIiRcNVDaQ2ePDgS3Z7XLt27UXrunXrRrdu3S55PJvNxsSJE5k4ceLVxClUnp6ejBs37qJumiVBST23knpeUHLPraSe1+Xk93W1tCmN/2bymz7Da6fPUIoj/bvNO31meaPPC2xGcZsTQkRERERERKSYcLnyLiIiIiIiIiJyNVR0i4iIiIiIiBQQFd0iIiIiIiIiBURFdw7sdjtjxowhJCQEb29vatWqxUsvvcS/b383DIOxY8cSFBSEt7c3YWFh7N+/38LUuXfq1CmGDRvG9ddfj7e3Ny1btuTXX391bi8u57Z+/Xo6depEcHAwNpuNJUuWZNuem/NISkqid+/e+Pr6Ur58eQYMGMDp06cL8SwudqXzWrx4Ma1bt6ZixYrYbDa2bdt20THS09MZNGgQFStWpGzZsnTp0oWEhITCOYHLuNy5ZWVl8fzzz9OgQQPKlClDcHAwffr04dixY9mOURS/Z1J4Svr1uSCU1GtlYdK1S0qLSZMm0bJlS3x8fChfvrzVcYqkGTNmUKNGDby8vGjRogWbNm2yOlKRdqWfQaWFiu4cTJkyhZkzZ/LOO++we/dupkyZwmuvvcbbb7/t3Oe1115j+vTpzJo1i40bN1KmTBnatGlDenq6hclz57HHHmPVqlXMnTuXHTt20Lp1a8LCwjh69ChQfM4tLS2Nhg0bMmPGjBy35+Y8evfuze+//86qVatYtmwZ69ev54knniisU8jRlc4rLS2NVq1aMWXKlEse45lnnmHp0qUsWrSIdevWcezYMR588MGCipxrlzu3M2fOEB0dzZgxY4iOjmbx4sXs3buX+++/P9t+RfF7JoWnpF+fC0JJvVYWJl27pLTIzMykW7duDBw40OooRdLChQuJiIhg3LhxREdH07BhQ9q0aUNiYqLV0YqsK/0MKjUMuUiHDh2M/v37Z1v34IMPGr179zYMwzAcDocRGBho/O9//3NuT05ONjw9PY3PP/+8ULPm1ZkzZwxXV1dj2bJl2dY3adLEePHFF4vtuQHG119/7Xyem/PYtWuXARi//vqrc5/vvvvOsNlsxtGjRwst++VceF7/FhMTYwDG1q1bs61PTk423N3djUWLFjnX7d692wCMqKioAkybN5c7t/M2bdpkAMbhw4cNwyge3zMpWCX5+lwYSuq1sjDp2iWlwSeffGL4+flZHaPIad68uTFo0CDnc7vdbgQHBxuTJ0+2MFXxkZvrZ0mllu4ctGzZksjISPbt2wfA9u3b+emnn2jXrh0AMTExxMfHExYW5nyNn58fLVq0ICoqypLMuXXu3DnsdjteXl7Z1nt7e/PTTz8V63P7t9ycR1RUFOXLl6dZs2bOfcLCwnBxcWHjxo2Fnjm/bNmyhaysrGznXqdOHapXr16svocAKSkp2Gw2Zxe3kvo9k9wryddnK5Tma2VB0rVLpOTJzMxky5Yt2a6XLi4uhIWF6eeLXJGb1QGKopEjR5KamkqdOnVwdXXFbrczadIkevfuDUB8fDwAAQEB2V4XEBDg3FZUlStXjtDQUF566SXq1q1LQEAAn3/+OVFRUdxwww3F+tz+LTfnER8fT5UqVbJtd3Nzw9/fv1id64Xi4+Px8PC46F6s4vY9TE9P5/nnn6dXr174+voCJfd7JrlXkq/PVijN18qComuXSMl04sQJ7HZ7jtfLPXv2WJRKigu1dOfgiy++YN68ecyfP5/o6GjmzJnD66+/zpw5c6yOli/mzp2LYRhUrVoVT09Ppk+fTq9evXBx0T8HKRqysrLo3r07hmEwc+ZMq+NIEVLSr89SvOnaJUXRyJEjsdlsl32oaBQpWGrpzsHw4cMZOXIkPXv2BKBBgwYcPnyYyZMn07dvXwIDAwFISEggKCjI+bqEhAQaNWpkReQ8qVWrFuvWrSMtLY3U1FSCgoLo0aMHNWvWLPbndl5uziMwMPCigS/OnTtHUlKS8/XFUWBgIJmZmSQnJ2dr7U5ISCgW53X+l9bDhw/zww8/OFuKoOR+zyT3Svr1ubCV5mtlftO1S4qqZ599lkcfffSy+9SsWbNwwhRjlSpVwtXV9aLZYIrL71diLTVt5uDMmTMXtfq6urricDgACAkJITAwkMjISOf21NRUNm7cSGhoaKFmvRZlypQhKCiIkydP8v3339O5c+cSc265OY/Q0FCSk5PZsmWLc58ffvgBh8NBixYtCj1zfmnatCnu7u7Zzn3v3r3ExsYW+e/h+V9a9+/fz+rVq6lYsWK27SX1eya5V1quz4WlNF8r85OuXVKUVa5cmTp16lz24eHhYXXMIs/Dw4OmTZtmu146HA4iIyP180WuSC3dOejUqROTJk2ievXq3HzzzWzdupWpU6fSv39/AGw2G8OGDePll1+mdu3ahISEMGbMGIKDgwkPD7c2fC58//33GIbBTTfdxIEDBxg+fDh16tShX79+xercTp8+zYEDB5zPY2Ji2LZtG/7+/lSvXv2K51G3bl3atm3L448/zqxZs8jKymLw4MH07NmT4OBgi87qyueVlJREbGyscw7YvXv3AmZLSmBgIH5+fgwYMICIiAj8/f3x9fXl6aefJjQ0lNtuu82SczrvcucWFBRE165diY6OZtmyZdjtdue9jv7+/nh4eBTZ75kUnpJ+fS4IJfVaWZh07ZLSIjY21vl7ht1uZ9u2bQDccMMNlC1b1tpwRUBERAR9+/alWbNmNG/enGnTppGWlka/fv2sjlZkXelnUKlh7eDpRVNqaqoxdOhQo3r16oaXl5dRs2ZN48UXXzQyMjKc+zgcDmPMmDFGQECA4enpadx7773G3r17LUydewsXLjRq1qxpeHh4GIGBgcagQYOM5ORk5/bicm5r1qwxgIseffv2NQwjd+fx119/Gb169TLKli1r+Pr6Gv369TNOnTplwdn840rn9cknn+S4fdy4cc5jnD171njqqaeMChUqGD4+PsYDDzxgxMXFWXNC/3K5czs/BVpOjzVr1jiPURS/Z1J4Svr1uSCU1GtlYdK1S0qLvn37XvHfcmn39ttvG9WrVzc8PDyM5s2bG7/88ovVkYq0K/0MKi1shmEY+VvGi4iIiIiIiAjonm4RERERERGRAqOiW0RERERERKSAqOgWERERERERKSAqukVEREREREQKiIpuERERERERkQKioltERERERESkgKjoFhERERERESkgKrpFRERERERECoiKbhERERERybW1a9dis9lITk62Okqe2Gw2lixZkm/Hq1GjBtOmTcu341nl0KFD2Gw2tm3bBhTf729RpqJbREREREQAszC93GP8+PFWR7yi8ePH06hRo4vWx8XF0a5du0LNkpSUxLBhw7j++uvx8PAgODiY/v37ExsbW6g5znv00UcJDw/Ptq5atWrExcVRv359SzKVBm5WBxARERERkaIhLi7Oubxw4ULGjh3L3r17nevKli3L5s2brYhGZmYmHh4eV/36wMDAfExzZUlJSdx22214eHgwa9Ysbr75Zg4dOsTo0aO59dZbiYqKombNmoWaKSeurq6F/tmUNmrpFhERERERwCxMzz/8/Pyw2WzZ1pUtW9a575YtW2jWrBk+Pj60bNkyW3EO8M0339CkSRO8vLyoWbMmEyZM4Ny5c87tsbGxdO7cmbJly+Lr60v37t1JSEhwbj/fYv3hhx8SEhKCl5cXAMnJyTz22GNUrlwZX19f7rnnHrZv3w7A7NmzmTBhAtu3b3e2zs+ePRu4uHv5n3/+Sa9evfD396dMmTI0a9aMjRs3AvDHH3/QuXNnAgICKFu2LLfeeiurV6/O02f54osvcuzYMVavXk27du2oXr06d9xxB99//z3u7u4MGjTIuW9OXdUbNWqUrWfB1KlTadCgAWXKlKFatWo89dRTnD592rl99uzZlC9fnu+//566detStmxZ2rZt6/xDyvjx45kzZw7ffPON87NZu3btRd3Lc/LTTz9x++234+3tTbVq1RgyZAhpaWnO7e+++y61a9fGy8uLgIAAunbtmqfPqqRT0S0iIiIiInn24osv8sYbb7B582bc3Nzo37+/c9uPP/5Inz59GDp0KLt27eK9995j9uzZTJo0CQCHw0Hnzp1JSkpi3bp1rFq1ioMHD9KjR49s73HgwAG++uorFi9e7CwKu3XrRmJiIt999x1btmyhSZMm3HvvvSQlJdGjRw+effZZbr75ZuLi4oiLi7vomACnT5/mzjvv5OjRo3z77bds376dESNG4HA4nNvbt29PZGQkW7dupW3btnTq1CnX3cIdDgcLFiygd+/eF7Uie3t789RTT/H999+TlJSU68/bxcWF6dOn8/vvvzNnzhx++OEHRowYkW2fM2fO8PrrrzN37lzWr19PbGwszz33HADPPfcc3bt3dxbicXFxtGzZ8orv+8cff9C2bVu6dOnCb7/9xsKFC/npp58YPHgwAJs3b2bIkCFMnDiRvXv3snLlSu64445cn1epYIiIiIiIiFzgk08+Mfz8/C5av2bNGgMwVq9e7Vy3fPlyAzDOnj1rGIZh3HvvvcYrr7yS7XVz5841goKCDMMwjP/7v/8zXF1djdjYWOf233//3QCMTZs2GYZhGOPGjTPc3d2NxMRE5z4//vij4evra6Snp2c7dq1atYz33nvP+bqGDRtelBswvv76a8MwDOO9994zypUrZ/z111+5/DQM4+abbzbefvtt5/Prr7/eePPNN3PcNz4+3gAuuX3x4sUGYGzcuPGSx2rYsKExbty4S+ZZtGiRUbFiRefzTz75xACMAwcOONfNmDHDCAgIcD7v27ev0blz52zHiYmJMQBj69athmH88/09efKkYRiGMWDAAOOJJ57I9poff/zRcHFxMc6ePWt89dVXhq+vr5GamnrJrKWd7ukWEREREZE8u+WWW5zLQUFBACQmJlK9enW2b9/Ozz//7GzZBrDb7aSnp3PmzBl2795NtWrVqFatmnN7vXr1KF++PLt37+bWW28F4Prrr6dy5crOfbZv387p06epWLFitixnz57ljz/+yHX2bdu20bhxY/z9/XPcfvr0acaPH8/y5cuJi4vj3LlznD17Ns8DoBmGcdnteblHffXq1UyePJk9e/aQmprKuXPnnJ+nj48PAD4+PtSqVcv5mqCgIBITE/OU+ULbt2/nt99+Y968ec51hmHgcDiIiYnhvvvu4/rrr6dmzZq0bduWtm3b8sADDzgziQZSExERERGRq+Du7u5cttlsANm6Z0+YMIEHH3zwotedvzc7N8qUKZPt+enTpwkKCmLt2rUX7Vu+fPlcH9fb2/uy25977jlWrVrF66+/zg033IC3tzddu3YlMzMzV8evXLmy8w8IOdm9ezdubm6EhIQAZtfxCwv0rKws5/KhQ4fo2LEjAwcOZNKkSfj7+/PTTz8xYMAAMjMznQXuv78nYH5frlT4X8np06d58sknGTJkyEXbqlevjoeHB9HR0axdu5b/+7//Y+zYsYwfP55ff/01T9+TkkxFt4iIiIiI5KsmTZqwd+9ebrjhhhy3161blyNHjnDkyBFna/euXbtITk6mXr16lz1ufHw8bm5u1KhRI8d9PDw8sNvtl813yy238OGHH5KUlJRja/fPP//Mo48+ygMPPACYheehQ4cue8x/c3FxoXv37sybN4+JEydmu6/77NmzvPvuuzzwwAP4+fkBZpH+75HjU1NTiYmJcT7fsmULDoeDN954AxcXc1iuL774Itd5zsvNZ3OhJk2asGvXrkt+LwHc3NwICwsjLCyMcePGUb58eX744Ycc/+hSGmkgNRERERERyVdjx47l008/ZcKECfz+++/s3r2bBQsWMHr0aADCwsJo0KABvXv3Jjo6mk2bNtGnTx/uvPNOmjVrdsnjhoWFERoaSnh4OP/3f//HoUOH2LBhAy+++KJzKrMaNWoQExPDtm3bOHHiBBkZGRcdp1evXgQGBhIeHs7PP//MwYMH+eqrr4iKigKgdu3azsHbtm/fzkMPPeRsxc+tSZMmERgYyH333cd3333HkSNHWL9+PW3atMHFxYW33nrLue8999zD3Llz+fHHH9mxYwd9+/bF1dXVuf2GG24gKyuLt99+m4MHDzJ37lxmzZqVpzznP5vf/r+d+wdJNQzDMH65tAtp0BI1JNI/ioIIUgzBKAOhpTVCAmmPltZqMWhqaQnCXAJBHNwaEsePlqgm9/am6gyBEIdzQs75CuL67d/LzbfdPM/73t5yf3/P09PTh2n6n+zu7tJqtdjZ2SEIAh4fH6nVat2H1Or1OicnJwRBQKfT4fz8nNfXVxKJRM/5fipLtyRJkqT/KpfLUa/XaTabzM3NMT8/z/HxMUNDQ8D72nOtViMajZJKpchms4yMjFCtVv96biQSodFokEql2NzcZHR0lI2NDTqdDgMDAwCsr6+zvLxMJpMhFotRqVR+O6evr49ms0k8HmdlZYWJiQkODw+7RbdcLhONRllYWGBtbY1cLsfMzExP/6C/v592u00mk2F7e5vh4WHS6TQvLy8EQdC9Bw+wt7dHOp0mn8+zurpKoVD4cDd7amqKcrnM0dER4+PjXFxccHBw0FMegGKxSCKRYHZ2llgsxs3NzaffTE5Ocn19zcPDA4uLi0xPT7O/v8/g4CDwvtZ/dXXF0tISyWSS09NTKpUKY2NjPef7qSJv/7rkL0mSJEn61NnZGaVSiWq1SqFQ+O44+iJOuiVJkiTpC2xtbXF5ecnd3R3Pz8/fHUdfxEm3JEmSJEkhcdItSZIkSVJILN2SJEmSJIXE0i1JkiRJUkgs3ZIkSZIkhcTSLUmSJElSSCzdkiRJkiSFxNItSZIkSVJILN2SJEmSJIXE0i1JkiRJUkgs3ZIkSZIkheQXEHszeh9ZJ4gAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# (repeat this cell many times - then increase n and repeat again)\n", "n=10 # also try n = 100\n", "data = stats.norm.rvs(mu, sigma, size=n)\n", "fig, axs = plt.subplots(1, 3, figsize=(10,4))\n", "axs[0].hist(data, density=True)\n", "axs[1].ecdf(data)\n", "axs[1].plot(np.arange(70,130,1), stats.norm.cdf(np.arange(70,130,1), loc=mu, scale=sigma))\n", "sm.qqplot(data,line=\"q\",a=1/2,ax=axs[2])\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 565, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# examples with exponentially distributed data:\n", "\n", "n=10 # also try n = 100\n", "data = stats.expon.rvs(mu, sigma, size=n)\n", "fig, axs = plt.subplots(1, 3, figsize=(10,4))\n", "axs[0].hist(data, density=True)\n", "axs[1].ecdf(data)\n", "axs[1].plot(np.arange(70,150,1), stats.norm.cdf(np.arange(70,150,1), loc=stats.expon.mean(loc=mu, scale=sigma), scale=stats.expon.std(loc=mu, scale=sigma)))\n", "axs[1].set_xlim(70,150)\n", "sm.qqplot(data,line=\"q\",a=1/2,ax=axs[2])\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 580, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# examples with uniformly distributed data:\n", "\n", "n=10 # also try n = 100\n", "data = stats.uniform.rvs(mu, sigma, size=n)\n", "fig, axs = plt.subplots(1, 3, figsize=(10,4))\n", "axs[0].hist(data, density=True)\n", "axs[1].ecdf(data)\n", "axs[1].plot(np.arange(90,120,1), stats.norm.cdf(np.arange(90,120,1), loc=stats.uniform.mean(loc=mu, scale=sigma), scale=stats.uniform.std(loc=mu, scale=sigma)))\n", "axs[1].set_xlim(90,120)\n", "sm.qqplot(data,line=\"q\",a=1/2,ax=axs[2])\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Voltage drop" ] }, { "cell_type": "code", "execution_count": 597, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.75 -0.85 4.23 2.12 3.04 0.53 -0.35 1.69 1.52 -0.42]\n", "10\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Enter data\n", "x = np.array([0.75,-0.85,4.23,2.12,3.04,0.53,-0.35,1.69,1.52,-0.42])\n", "n = len(x)\n", "print(x)\n", "print(n)\n", "plt.hist(x)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 598, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1.226, 1.6203374134214559, 0.5123956804397685]\n" ] } ], "source": [ "# Compute best estimate for the mean (and the standard error)\n", "mean_hat = x.mean()\n", "se_mean = x.std(ddof=1)/np.sqrt(n)\n", "print([mean_hat, x.std(ddof=1), se_mean])" ] }, { "cell_type": "code", "execution_count": 599, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.06688044133563364, 2.3851195586643663]\n" ] } ], "source": [ "# confidence interval for the mean:\n", "mu_lower = mean_hat - stats.t.ppf(0.975, df=9)*se_mean\n", "mu_upper = mean_hat + stats.t.ppf(0.975, df=9)*se_mean\n", "print([mu_lower, mu_upper])" ] }, { "cell_type": "code", "execution_count": 600, "metadata": {}, "outputs": [], "source": [ "# Define the null hypothesis\n", "mean_null_hyp = 0" ] }, { "cell_type": "code", "execution_count": 601, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.3926821532682983\n" ] } ], "source": [ "# Compute the \"test statistic\" from the oberserved data\n", "tobs = (mean_hat - mean_null_hyp) / se_mean\n", "print(tobs)" ] }, { "cell_type": "code", "execution_count": 602, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.2621571627409915" ] }, "execution_count": 602, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# compare with t_0.975 from t-distribution with df = 9\n", "stats.t.ppf(0.975, df=n-1)" ] }, { "cell_type": "code", "execution_count": 603, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.04037944695746914" ] }, "execution_count": 603, "metadata": {}, "output_type": "execute_result" } ], "source": [ "2*stats.t.cdf(-tobs, df=n-1)" ] }, { "cell_type": "code", "execution_count": 604, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TtestResult(statistic=2.3926821532682974, pvalue=0.04037944695746921, df=9)\n" ] } ], "source": [ "# You can also use the ttest_1samp funtion from scipy.stats:\n", "print(stats.ttest_1samp(x, popmean=0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Difference in calorie-intake" ] }, { "cell_type": "code", "execution_count": 612, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot histogram of data\n", "x = np.array([1350, 1250, 1755, 1020, 745, 1835, 1540, 1540, 725, 1330, 1435])\n", "plt.hist(x, density=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How well does the data actually follow a normal distribution?
\n", "\n", "How well can we expect 11 obervations to \"look\" like a normal distribution?" ] }, { "cell_type": "code", "execution_count": 613, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1320.4545454545455 110.57793332687574\n" ] } ], "source": [ "# calculate mean and SEM\n", "xbar = x.mean()\n", "n = 11\n", "SEM = x.std(ddof=1)/np.sqrt(n)\n", "print(xbar, SEM)" ] }, { "cell_type": "code", "execution_count": 607, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "11.941392877647603\n" ] } ], "source": [ "# calculate t_obs\n", "t_obs = (xbar-0)/SEM\n", "print(t_obs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can already now see that t_obs is very large" ] }, { "cell_type": "code", "execution_count": 608, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.059020942934875e-07\n" ] } ], "source": [ "# calculate p-value\n", "pval = 2*stats.t.cdf(-t_obs,df=n-1)\n", "print(pval)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "p-value is smaller than 0.05 (and also smaller than 0.001).\n", "So we reject the nulhypothesis " ] }, { "cell_type": "code", "execution_count": 611, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1074.0715560389451, 1566.8375348701459]\n" ] } ], "source": [ "# we could also calculate the 95% conficence interval for the mean\n", "mu_lower = xbar - stats.t.ppf(0.975,df=n-1)*SEM\n", "mu_upper = xbar + stats.t.ppf(0.975,df=n-1)*SEM\n", "print([mu_lower, mu_upper])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice the confidence interval does not include the value 0" ] }, { "cell_type": "code", "execution_count": 614, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TtestResult(statistic=11.941392877647603, pvalue=3.059020942934875e-07, df=10)\n" ] } ], "source": [ "# You can also use the ttest_1samp funtion from scipy.stats:\n", "print(stats.ttest_1samp(x, popmean=0))" ] } ], "metadata": { "kernelspec": { "display_name": "pernille", "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": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 2 }