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@parthi2929
Last active September 14, 2018 10:39
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Draft article about confidence intervals - statistical exploration.. Sharing here, for questions to be asked on this.
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Confidence Intervals for Sampling Distributions\n",
"\n",
"## Confidence Intervals for Sampling Proportions\n",
"\n",
"### Create Population\n",
"\n",
"Let us create a population of 10000 balls, with 60% yellow balls. Programmatically, our population contains 1s and 0s, 1 indicating yellow. "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:33:59.964767Z",
"start_time": "2018-09-09T08:33:46.534169Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1fd6441c518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"from SDSPSM import get_metrics, drawBarGraph\n",
"from ci_helpers import create_bernoulli_population\n",
"\n",
"T = 4000 # total size of population\n",
"p = 0.6 # 60% has yellow balls\n",
"\n",
"# create population\n",
"population, population_freq = create_bernoulli_population(T,p)\n",
"\n",
"# population metrics\n",
"mu, var, sigma = get_metrics(population)\n",
"\n",
"# visualize\n",
"fig, (ax1) = plt.subplots(1,1, figsize=(5,3))\n",
"drawBarGraph(population_freq, ax1, [T, mu, var, sigma], 'Population Distribution','Gumballs', 'Counts',xmin=0)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Quick Visuals\n",
"\n",
"Deriving and visualizing the probability Mass function (the intermediate density function, where total area of bars will be 1, is just for fitting normal continous approximation later)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:34:00.959200Z",
"start_time": "2018-09-09T08:33:59.966767Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1fd662f9908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from ci_helpers import mini_plot_SDSP \n",
"\n",
"fig, (ax1,ax2,ax3) = plt.subplots(1,3,figsize=(15,4))\n",
"mini_plot_SDSP(population, ax1,ax2,ax3, norm_off=True)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Sampling from the Population \n",
"\n",
"Let us sample from population, N no of times, each time with sample set of size n. If $np \\geq 10$ and $nq \\geq 10$, the resulting sampling distribution should be approximately normal. \n",
"\n",
"Remember, for Population described by random variable Y, we describe the sampling distribution by\n",
"\n",
"\\begin{equation}\n",
"\\color {blue}{\n",
"\\begin{aligned}\n",
"\\text{Random Variable} \\ \\ \\widehat{p} = \\overline{\\widehat{Y}} \\\\ \\\\\n",
"\\mu_{\\widehat{p}} = \\mu(\\overline{\\widehat{Y}}) \\\\ \\\\\n",
"\\sigma_{\\widehat{p}} = \\sigma(\\overline{\\widehat{Y}})\n",
"\\end{aligned}\n",
"}\n",
"\\end{equation}\n",
"\n",
"where the $\\widehat{}$ indicates the statistical outcome. And statistically by CLT, \n",
"\n",
"\n",
"\\begin{equation}\n",
"\\color {blue} {\n",
"\\begin{aligned}\n",
"\\mu_{\\widehat{p}} \\approx 0.6 = \\mu = p \\\\ \\\\\n",
"\\sigma_{\\widehat{p}} \\approx 0.0693 \\approx \\dfrac{0.4898}{\\sqrt{50}} = \\dfrac {\\sigma}{\\sqrt{n}} = \\sqrt{\\dfrac {pq}{n}}\n",
"\\end{aligned}\n",
"}\n",
"\\end{equation}"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:34:01.490913Z",
"start_time": "2018-09-09T08:34:00.962199Z"
}
},
"outputs": [
{
"data": {
"text/latex": [
"$$\\mu_{\\hat{p}}:0.6 \\ \\ \\ \\ \\sigma_{\\hat{p}}:0.0678$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1fd665d1358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from ci_helpers import sample_with_CI\n",
"from random import seed\n",
"\n",
"N = 100\n",
"n = 50\n",
"\n",
"#seed(0)\n",
"\n",
"# sample from population\n",
"Y_mean_list, CI_list = sample_with_CI(N, n, population, sigma=sigma, mode='z')\n",
"\n",
"# sample metrics\n",
"mu, var, sigma = get_metrics(Y_mean_list)\n",
"\n",
"# visualize\n",
"fig, (ax1,ax2,ax3) = plt.subplots(1,3,figsize=(15,4))\n",
"mini_plot_SDSP(Y_mean_list,ax1,ax2,ax3,width=0.05, norm_off=True)\n",
"\n",
"from IPython.display import display, Math\n",
"display(Math(r'\\mu_{{\\hat{{p}}}}:{} \\ \\ \\ \\ \\sigma_{{\\hat{{p}}}}:{}'.format(mu, sigma)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### CI - Using Population SD\n",
"\n",
"**If we know population SD** \n",
"\n",
"For each of above sample set of size 'n', let us calculate margin of error using population SD $\\sigma$ as below. 1.96 is from Z tranformation, like we saw earlier in our theoretical section.\n",
"\n",
"\n",
"\\begin{equation}\n",
"\\color{blue}{M = 1.96 \\dfrac{\\sigma}{\\sqrt{n}}} \n",
"\\end{equation}\n",
"\n",
"and Confidence interval \n",
"\n",
"$$ CI = Y \\pm M $$"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:34:02.735400Z",
"start_time": "2018-09-09T08:34:01.492899Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CI containing pop.mean:100.0%\n"
]
},
{
"data": {
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bk/XaPXYdp871JuLUcX+ux7H7iqn6nsMce+w6HuacT3FNnE7sFHFjn8dNtWUTZU51Htcpc93yDnPcKecKY88fp+7Dp6jjYePGLHPq/lHfYy68TXFTHXvd++B0rottV0pZe6eR9zSa2CZeHzl2mfv6kYlzaPfYbzI3lzeE5HjN4XrcpfdTGvtjbw9j7I9XnsMb4W/Cuu3e9/dIOMjYfcrYb/R62NgxbeLaGbstmzg3u9SnzGGeuY926Rpj2GHug31/jGTRaGKb+EjAscvc149MnEO7x36TuV16c0LGs4nrcZ1PoDhMeWP3FVP2PWN/7O1hjP3xypvqR7f9E0zWbfeufSzw2HkZu08Z+41eDxu7rnXasolr57Bvmj/W+d5UHbfdlP3jrvU9Y5r6Gtv28W1Tpmj3Ye6DfX+MZNFoYnN4FmYXPzJxHXNp99gf4bntHwnK8Rv7ejzMMzvrXo9zeIZ87GNvqo5jfrzyJvrROTxDvm67d+kZ7U3lZcw+Zd28HOa6Hfsan3IX39g7DTdx/+/Ss/1T9o+71PeMbcprbA7j2yZM1e7D3gf7/BjJotHE5vAszK59ZOK69rXd0Db29Tj1M+RTlLeJY8+hjpvoR+fwDPm67d6lvn4Ou/PWzcthrtuxr/Epd/GNvdNwE/f/Lj3bP2X/uEt9z9imvMbmML5twlTtdh+sz6LRxObyLMxUK6tTP6O0r+3edru2dXfb2zPV+4ocxi69v9cmdkNMVcdk/H50Ls+Qr9PuXerr57A7L1n/ejzMdTvmNT7lLr5k3J2G65a3iTrOxVT941z6nqnmR1NdY3MZ38Y2Vbvnch9sg1EWjUopDy2lvLuUcnUp5WmVv/9AKeX6Usrbl19PGOO4u8CzMMN2qS2Hsa/tXseubd2dQ3vGvh6nfIZ8qvI2cew51HETdumZwV3q6+ew820OptzFN3YdOX5zuH7WNYf50dj29d6aqt1zuA+2xZEXjUopZyT5lSQPS3KPJI8rpdyjEvqypmnutfz69aMed5fs67Mw6z57sIm2bPvOjmQeOZzCrm3dnUt7xrwep3yGPBm/79lEf7KJ3RBjsxNzHLvS1x/20w7HvGd26ZqYchffJurI8ZrD9bOuucyPxrSv99aU7d72+2BbnDlCGfdNcnXTNO9LklLK7yZ5ZJJ3jVA2O6rv2YMkG79Zpzw2R7drW3d3rT3rOHGfPfXll+dzn78pF5xzdp7ykLsfy/039v2vPzl+U14/9Fs3L5u4Z3bpmphDW+ZQx321S7kxP5p3/g5jX9s9J2O8PO2CJB9c+fna5e/avruUcnkp5eWllDuNcFxmbA5vmMl22rWtu7vWnnVN9czO2Pe//mQaY+8Cm8Pu0zlYJy+bumd26dniObRlDnXcV7uSG/OjeefvsPa13XMxxqJRqfyuaf38H5Nc2DTN1yf5kyQvqRZUyhNLKZeVUi67/vrrR6ga22oub5jJ9tm1rbu71p5tN/b9rz/ZXuu+H8Y+vm/GlNwzwDrMj2B7jLFodG2S1Z1Dd0zyodWApmk+1jTNPyx//PdJ7lMrqGmaFzZNc1HTNBedd955I1SNbbWvb5jp2eyj27U3rdu19my7se//fX0mdA7W3dFit9jxcs8A6zjM/Mj8GjZrjEWjNye5aynlK0spt0jy2CSXrgaUUs5f+fERSa4a4bjM2Fw+KnpMns0ez65tYd219myzse9/z4Rur3V3tNj5crzcM8C61pkfmV/D5h150ahpmhuTPCnJq7JYDPq9pmneWUp5VinlEcuwJ5dS3llKeUeSJyf5gaMel3nbx4+K9mw2TG/s+99Ose217o4WO1+Ol3sGGJP5NWzeGJ+elqZpXpnkla3fPX3l+4uTXDzGsdgdj7r3BXnpmz6QG264Ia940gN2/tiezYbtMPb9P2VfRr+nPOTuufgVV5zyYKK2o2XdOMbjngHGYn4NmzfGy9OANXg2G+D4rLujxc4XgPkyv4bNs2gEI1jnDfi8jwPA8Vr3/cK8rxjAPJlfw+aN8vI02Gd9b8CX5JQHHie+f+rLL8/nPn9TLjjn7DzlIXf34AQAAE6D+TVsnkUjOKKhN+CrvQzC+zgAAMA4zK9hs7w8DY7IG/ABAACwiywawRF5Az4AAAB2kUUjOCJvwAcAAMAu8p5GcETegA8AAIBdZNEIRuAN+AAAANg1Xp4GAAAAQIdFIwAAAAA6LBoBAAAA0GHRCAAAAIAOi0YAAAAAdFg0AgAAAKDDohEAAAAAHRaNAAAAAOiwaAQAAABAh0UjAAAAADosGgEAAADQYdEIAAAAgA6LRgAAAAB0WDQCAAAAoMOiEQAAAAAdFo0AAAAA6LBoBAAAAECHRSMAAAAAOiwaAQAAANBh0QgAAACADotGAAAAAHRYNAIAAACgw6IRAAAAAB0WjQAAAADosGgEAAAAQIdFIwAAAAA6LBoBAAAA0GHRCAAAAIAOi0YAAAAAdFg0AgAAAKDDohEAAAAAHRaNAAAAAOiwaAQAAABAh0UjAAAAADosGgEAAADQYdEIAAAAgA6LRgAAAAB0WDQCAAAAoGOURaNSykNLKe8upVxdSnla5e+3LKW8bPn3N5ZSLhzjuAAAAABsxpEXjUopZyT5lSQPS3KPJI8rpdyjFfb4JH/XNM1XJfmFJD971OMCAAAAsDlj7DS6b5Krm6Z5X9M0n0vyu0ke2Yp5ZJKXLL9/eZIHl1LKCMcGAAAAYAPGWDS6IMkHV36+dvm7akzTNDcm+WSS27ULKqU8sZRyWSnlsuuvv36EqgEAAABwOsZYNKrtGGpOIyZN07ywaZqLmqa56LzzzhuhagAAAACcjjEWja5NcqeVn++Y5EN9MaWUM5PcJsnHRzg2AAAAABswxqLRm5PctZTylaWUWyR5bJJLWzGXJvn+5fePTvK6pmk6O40AAAAA2A5nHrWApmluLKU8KcmrkpyR5EVN07yzlPKsJJc1TXNpkt9I8lullKuz2GH02KMeFwAAAIDNOfKiUZI0TfPKJK9s/e7pK9//fZLHjHEsAAAAADZvjJenAQAAALBjLBoBAAAA0GHRCAAAAIAOi0YAAAAAdFg0AgAAAKDDohEAAAAAHRaNAAAAAOiwaAQAAABAh0UjAAAAADosGgEAAADQYdEIAAAAgA6LRgAAAAB0WDQCAAAAoMOiEQAAAAAdFo0AAAAA6LBoBAAAAECHRSMAAAAAOiwaAQAAANBx5tQVAABIkpf9j/fLRz/60amrAQDAkp1GAAAAAHTYaQQciZ0Bx2vd8y0vAKwyLozDeQT2jZ1GAAAAAHRYNAIAAACgw8vT2Cm2DFPjugAAYF/t0lx4l9oyF3YaAQAAANBhpxFWa/fIHHI9hzqua5faAizM4b6eQx3hOEx5L7gP2TTXGMfFTiMAAAAAOuw0AoBj5JlBTpdrB/aXXVPjcB7h8Ow0AgAAAKDDTqMZskoN09qle3CX2gJsjr5iHM7jdpKX4+ec7wd53g12GgEAAADQYafRhu3r6uq+tpt+c7gm5lBHOF2ub2pcF2wT1+O87Wv+dqnd67ZlDm2eQx3nwk4jAAAAADosGgEAAADQ4eVpsAPG3n5pOydH4XqcP+ecbeJ6BGAb7Ot4ZKcRAAAAAB12GrG2fV1Z3dd2A4xlX/vRfW33ttvEG73uUq7nsFvU+WbT5AVuZqcRAAAAAB12Gm0Jz8IM26W2HMa+tpvtNIfrcQ7PkI997DnUkWHOI6fLtcNRuH7AfbAOO40AAAAA6LDTCIBJeGaHo3D9bCc738Yxh7bMoY77Sm7mbV/zt6/tngM7jQAAAADosNMImKVdezZi19oDAHBU5kcwPTuNAAAAAOiwaAQAAABAh5enMSlvmAlMYez7X38Ch+OeAYB5ONJOo1LKl5ZSXlNK+evlv7ftift8KeXty69Lj3JMAAAAADbvqDuNnpbktU3TPKeU8rTlz/+mEvfZpmnudcRjAQAcyro7Wux8AQDoOup7Gj0yyUuW378kyaOOWB4AAAAAW+CoO42+vGmaDydJ0zQfLqV8WU/cF5ZSLktyY5LnNE1zSS2olPLEJE9Mkjvf+c5HrBpsJ89mAwDAeMyvYXMOXDQqpfxJkttX/vSThzjOnZum+VAp5S5JXldKuaJpmve2g5qmeWGSFybJRRdd1ByifAAAAABGdOCiUdM03973t1LK35ZSzl/uMjo/yUd6yvjQ8t/3lVJen+TeSTqLRgAAAABsh6O+p9GlSb5/+f33J/mDdkAp5ballFsuvz83ybckedcRjwsAAADABh31PY2ek+T3SimPT/KBJI9JklLKRUn+ZdM0T0jyNUl+rZRyUxaLVM9pmsaiETvHa6kBAADYJUdaNGqa5mNJHlz5/WVJnrD8/j8luedRjgMAAADA8Trqy9MAAAAA2EEWjQAAAADosGgEAAAAQIdFIwAAAAA6LBoBAAAA0GHRCAAAAIAOi0YAAAAAdFg0AgAAAKDDohEAAAAAHRaNAAAAAOiwaAQAAABAR2maZuo6VJVSrk/y/qnrMZJzk3x0xLhNlKmO2xk35bHV8Xjjpjy2Oh5v3JTHVsfjjZvy2Op4vHFTHlsdjzduymOr43bGTXlsdTzeuMPGbrOvaJrmvLUim6bxteGvJJeNGbeJMtVxO+PUUR23KU4d1XGb4tRRHbcpTh3VcZvi1FFbtunY+1rHXfry8jQAAAAAOiwaAQAAANBh0eh4vHDkuE2UqY7bGTflsdXxeOOmPLY6Hm/clMdWx+ONm/LY6ni8cVMeWx2PN27KY6vjdsZNeWx1PN64w8buhK19I2wAAAAApmOnEQAAAAAdFo0AAAAA6Jr649t2/SvJQ5O8O8nVSZ7WE/OiJB9JcuUBZd0pyf+b5Kok70zyYwOxX5jkTUnesYz9qYHYM5K8Lcn/c8Dxr0lyRZK3Z+CjBpOck+TlSf5qWdf79cTdfVnWia9PJflXPbH/87IdVyZ5aZIv7In7sWXMO1fLqp3jJF+a5DVJ/nr5720HYh+zLPOmJBcNxD132e7Lk/zfy3NRi/t3y5i3J3l1kjsMXQdJfiJJk+TcgWM/M8l1K+fz4X1lJvmfltflO5P8bz3lvWylrGuW/9bi7pXkL09cF0nuO1DHb0jyF8vr6D8m+ZL0XNeV/HxdT9wpuRkor52br+2Jq+Vm8N5byc/X95TZzs339ZXXys3ze8qr5aav3e38/NOeuHZuzkulD0nylUneuMzLy5LcuifuSVn0e6vXbbVfSvI7yzZfmcV188U9cb+x/N3lWfQxt6vFrZzL5yX59MBxX5zkP6+cy3sNxJYkz07ynuW5+/GeuD9bKe9DSS7tiXtwkrcu4/6/JPfoiXvQMu7KJC9Jcmat367k5RY9cZ289I0Flbyc1RPXzssXD40tJ/IycNxOXgZi23l5ck9cOy+X9MS18/JVPXF9ebkmrXEylbGmJ64zzgyUWRtranG1/qwTVxtresp7ZrrjTLW8tMaZgbbU+rNaXGes6YmrjTOdeUktL31zmFpueuJqeanF1fLSO3dKdw5QK7OWm2qZ7dz0lFfLSy2ubw5Qi23n5htXjnFyHljJzT/qiWuP/9V5ZU9e+mLbubl/La6Sm2/qKa+dl/+hr7xKXvrq2M7NVT1x7dw8uieuds905t3pH2dqsbU5QC2uM870xHXGmVrcwDhTK/PF6c4BanGdcaYnrjPO9MT1jTO12M5Yk8pjndTHmVpcrS+rxXXumYHYWn9WfTxWGWdq5T0z3b6s7/Fd+56pldfpywbaUhtnanGde6b92G3XviavwC5/ZTHJfG+SuyS5RRad3T0qcQ/IYuA8aNHo/CTfuPz+1ll0Xp3yln8vuXniflYWnfw398T+eJL/M+stGp07FLOMe0mSJyy/v8WJjmaNc/U3Sb6i8rcLsujUz17+/HtJfqAS93XLm/pWWXSqf5Lkrn3neNm5PG35/dOS/OxA7NdkMXi/Pjd3srW478jNDx5+dvlVi/uSle+fnOQFfddBFosBr0ry/tw88NbKfGaSnzjo2kry3y3PzS2XP3/ZQddgkv89ydN7ynt1koctv394ktcPHPvNSb5t+f0PZTHQVK/rSn5+uSfulNwMlNfOTV95tdz03nut/HxtT5mn5Gagju3cfF3fcSu56SuznZ+zvr35AAASy0lEQVT/1BNXy02nD8ni/nvs8vcvSPLDPXH3TnJhVvqN9PRLy3qV5ddLB8pczc3PZ3FdVPu5LK6F38pi0ajvuC9O8uh1+s4kP5jkN5N8wcp9M9jHJvn9LBYIa+W9J8nXLH//I8u6tOP+2yQfTHK35e+fleTxtX67lpeeuE5eVurbju3kpSeuk5daXDsvA8ft5GUgtpOXvmO389JTXicv7bgsdmn35aV2XjtjTU9cZ5wZKLM21tTiav1ZJ67Sl53bU94z0x1nanGdcaYvtqc/q5XZGWt64mp9WWdeUsvL8vtabG0OUIur5aUWV8tLde7UzsvAsWu5qcXV5gCD87aVvNTK65sD1GI7uVk5xsl5YF9uKnHVe6YS18nLQGwnN7W4vtxUyuvkpSeues/0Hbudm54yq7mpxLXz8oupzLtTH/+rc/S0xpqBuPY487SeuPY489O1uOX3p4wzA8d+cVbGmoG49jjz9X3HXinr97NYbKiVVxv/a8f+oXTHmn+bymOddO+Z3+iJa8+Zq4+dUu/L+mLb98zLanGVe+Zbe8p7Zk6dM/cdt33PPKDvuJW+rK/M9j3z5p643r5sV7+8PG2z7pvk6qZp3tc0zeeS/G6SR7aDmqZ5Q5KPH1RY0zQfbprmrcvv/0sWq90X9MQ2TdN8evnjWcuvph1XSrljkn+S5NfXatEBSilfksVN+xvLenyuaZpPrPFfH5zkvU3TvL/n72cmObuUcmYWN+6HKjFfk+Qvm6b5TNM0Nyb50yTfuaxH7Rw/MotJTZb/Pqovtmmaq5qmeXfrd7W4Vy+PnSxWqu/YE/eplR+/aPGr3uvgF5I8NSv5O8Q1U4v74STPaZrmH5YxHxkqr5RSkvz3SV7aE9dk8axUktwmy9z0xN49yRuW378myXcPXNft/PzjWlw7N33lVXJz2564Wm6G7r3V/PztOvfoQHnt3Fw5VF4rN31ltvNzTU9cLTe1PuRBWTzLdyIvj6rFNU3ztqZprmm1u9ovNU3zyuXfmix229yxJ+5TK+0+e/m7Tlwp5YwsniV76tBxUzEQ+8NJntU0zU3LuI8MlVlKufXyXF3SE9e5bypxn0/yD03TvGf5+9ck+e52v708H5281Pr3Wl6WZdRiO3npievkpRbXzkvfcfv0xHbyMlTmal564jp5qcTdLpW8DFS9Ota01caZPrWxpieu058NFNsZa46gM84c9B9W+7OekOpYU9Huyx6T+rykk5e+OUw7NwNx7bxc2BPXzsuZPXVMWnlZd541EHdKbpL8/VB5K3m5tCeuds/0HbszzqxUeXUeOHTPnIw74J5ZjTvoflmNHbpn2nPVvnvmoDltLe6ge6ZTZs89sxo3dM+sxrXz8vB0590fTmWcWX7fmaP3jDW1uPY4c35PXGecqcXVxpm+Y6euFnfKOJPkY0PlrYwzf9wT15eXdux/TXes+c7UH+u075mH1uIq90z1sVPPPdMX275nzumpY3LqPXO3gbhVfY/v2n3Zlw+V17pf+sps5+bve+KG+rKdZNFosy7IYoX4hGvTs8hzWKWUC7NYxX/jQMwZpZS3Z/ESodc0TVOL/cUsbt6bKn9ra5K8upTyllLKE3ti7pLk+iT/oZTytlLKr5dSvmiNsh+bnoli0zTXJfm5JB/IYtD6ZNM0r66EXpnkAaWU25VSbpXFoHengWN+edM0H14e48NZPNs2ph9K8kd9fyylPLuU8sEk/zyLVe9azCOSXNc0zTvWPOaTSimXl1JeVEq5bU/M3ZLcv5TyxlLKn5ZS/tEBZd4/i8WQv+75+79K8txlW34uycUDZV2Z5BHL7x+TVn5a13Vvfta5/g+IOyU37bih3KzGDuWncuxqblpxvbnpaUs1N63Y3vy04jq5afchWeyc/MTKROLaJBes2decOGZvbCnlrCTfm+SP++JKKf8hi2dHvzrJ83rinpTk0hPXzwHHffYyL79QSrnlQOx/k+R7SimXlVL+qJRy1wPa/Z1JXts0zad64p6Q5JWllGuXbX5O5Xy/KclZpZSLlmU+Oot7pt1v366Wl0rckN7Y1bz0xbXz0hPXycvAcTt56Ynt5OWAdp/MS09cJy+VuI+mnpekPk7W+rJ1xtMTDoo90Z9V4yr9WSeupy/rO267L6vF9fVlQ21Z7c9qcbW+rBZXG2dq85JaXtadw6wT90NZ7DCvxrXy8ju1uJ68DB37ZG6yePlELe6U3CT5Zwe05f5J/nb5fS2ulpe+Og7NAVbngUPzs975YktfXG1udkrswBzgZNzQ+F85dt/cbDXuoLlZrT21OcBq3ND8bDWunZfz05p3J3lLKuPMunP0g+JWxpmX98W1xpln98R1xpkDjn1yrMmib6/FnTLOZLGgM9TmE+PMu3viOuNMrY5Z7DZqjzVfnPpjnfY90xfXts5jpxP3TG9s6575qVpc5Z65auDYq33ZB3ri2n1ZDmjL6v3S15b2PfPMnrjBxzM7qdmC7U67+pXFRfTrKz9/b5Ln9cRemANenrYS+8VZdN7ftWb8OVm8h8nXtX7/T5P86vL7B+bgl6fdYfnvl2UxEXpAJeaiJDcm+ablz/9HDtiyl8W25Y9m0eHV/n7bJK/L4j1WzsriNcL/oif28Vm89vcNWWyd/YW+c5zF4Lf6f//uoHyk+7KBvrifzOI1wOWg/GYxiP9UOy6LQemNSW6z/PmanLr9ud2eL89iu/EXZDGYvqgn7sokv5TFVuD7ZrEdtgy05flJ/vXAcX8pi10pyWIF/08GYr86i62fb0nyjCQf67uu+/LTjhvITV9cOze999NqbtqxQ/mptKUvN+24vtz0teWU3PSUWc1PJW4oNyf6kPtnsXvyxO/vlOSKob4m/S+FqcX++yS/uEbcGUl+NckPVuIekMV7BJzYVv3pvvKymBiXJLfM4pm5pw/EfvrEuV7m/88OqOMfnTjvPeW9Ijf3k0/JqWPFatz9snifhDcl+V+zWLg7pd/Oom9s5+WadlyrLifzkgPGghN5WSPuRF5+sVLHO7Tz0ldeLS8Dse28vPOAOv5RFs8I9pXXzsureuLaeXnb8vedcTKVvqwWN9CXDcWe7M+G4lb7s546dvqynrhOX9YT19eXDbXlZH/WU2anL+uJa/dln0hlXtKTl8E5TG5+ScdBcSfycuCcaJmXF1bintuTl2qZldz8QU9cOzfXHdCW5yf51wPHreWlL7Y6zqQ1D6zlphY3cM/0xZ0y/g/Frt4z7bgMj//ttvSN/+246j1zQHva87N2mX3jfzuunZePpzvv/t5Uxv8cMEfPzdftQXEnxpmD4k6MMz9aifu+VMb/vjLTHWt+uieuPc78xQF1PDHO9B23M/4PxHbGmlQe66Tenw09Jnp9bn6p7VBce87cG9saZ2p1rPVntbjaOFOLq90zQ21p3y+1Mmv9WS2ud868q1+TV2CXv5Y3+qtWfr44ycU9sRdmjUWjZUfyqiQ/fsi6PCPd17r/TBbPFFyTxcr9Z5L89prlPbNd3vL3t8/i5S8nfr5/kj88oKxHJnn1wN8fk+Q3Vn7+viwn8QeU+9NJfqTvHGfxxmnnL78/P8m7D8pH1lg0SvL9WQwot1onv1m8nvzKdlySe2ax4+Ca5deNWay2336NMi+slbn8+Y+TPHDl5/dmMUjV2nJmFs8w3nHgPH4yNw8mJcmn1mz33ZK8qe+6ruWnFlfLTV9cOzdD5VVyc0rsQH7ueECZF2Yx0NXaXMvN+T1tqeWmVmYnP2u0+2RuVn73jCwmNx/NzROyU/q4lbjV16Jfk573MFmNXX5/SZbvGTBU5vJ335bugsAzll9/s5KXm7Iy0R0o74Ht8lZjs3hDyAtXzuMnB9pyuyy2r3fesH/lPL535Xd3TvKuNer4HVk8M9fut3+nkpf3VeJ+e6Wsk3nJwFiwmpehuFZerq7E/V0lLx9fo7wHZrHoVD12JS9/P9CWk3npKe8PK3n56Bp1/I4kv1fJ9TOzuHZ6x5rVuFpf1ldmrT8bKrPdn7Xi/m0GxpqB8i7sKe8n0jPODLSl059VyuwdawbqeLcsHmRds/K7+y9zXRtjBucwuXnRqDduNS8HlbeSl7+qxL22Jy/3XKPMC3vK/MNKbq5J8oGetpzMS19banlZs92rc4BT5oG13NTi+u6ZWlx67pe+Mtv3zGpcBuZnB5R3Ya285c+990xPe2pzgHaZ1XvmgDreLYs3U27Pu5+fyvifA+bouXlxoDcup44zB875sxhn3lKJ+8+pjP9rlvnAnjJ/Nd1x5r8OtGV1nKkd9/mpjP9r1rEz1mT5WCcHjzPtx0SvT2WcWY3LwBhTK7N9z7TifiwHjzO18i7sKe9HcsA402pL7xjTKvOgcaZWx86ceRe/vDxts96c5K6llK8spdwii62gl55uYaWUksXrw69qmubnD4g9r5RyzvL7s5N8exad3klN01zcNM0dm6a5cFm31zVN8y96yvuisniNbpZbjL8jiwe+p2ia5m+SfLCUcvflrx6cRWc45HEZ3mr8gSTfXEq51fIcPDiLB061en7Z8t87Z/FswFC5l2bRIWb57x8cUM8DlVIemuTfJHlE0zSfGYi768qPj0grN0nSNM0VTdN8WdM0Fy5zdG0Wb2D8Nz1lnr/y43emkp+lS7J4rXVKKXfLzc841Xx7kr9qmubavrZk8Vrsb1t+/6AsJhtVK/n5giT/S5IXDFzXtfwceP33ldfOzUBcJze12L78ZDGgtMus5abWllpufranzafkZuA81vJTa3c7N79d6UOuymIHzKOX/+37k7z2oL5m5RjVfqmU8oQkD0nyuKZpbuqJe3cp5atW2vrPkry/EveWpmluv5KXzyS5X89xz18p71FJrhzoO0/mZnk+3zfQ7sdksQD19z3lXZXkNsscJ8k/TvLenjqeyMsts7h+f7TSb//zSl5+bt3+vW8saOelFpfkeyt5uaRS3m3beWma5kt7jtvJy8B41c7LFQPtPpmXnrY8spKXP+2pYzsvLxgYJ9t92SvXGU9P/L0WW+nP+uLa/dlfV+LeXOnLvjWLB0bt8tp92VU9ban1ZZ8ZaPfJ/mzgPLb7svf2tLndlz0v9XlJZ4xZdw7TF9fOy0BcOy9XVuLe2jMHuKKnzHZu3t7TlnZuzsiiL621+WReBs5NZ4wZaHdnDrD8e3se2Dc/O2i+eMIpcQfMzdqxffOzk3EHzM/a5fXNzdptGZqb1dpdm5+14/rmZ+06tvPyu+nOu9+V7jjzB1l/jl6Na48zA3HtceaqStzPV8aZrxooszPW9LSlPc68f6DNJ8eZnuO+K91x5qqBOtbGmtpjnc490xPXUYvru2d6Ymvz5nbcb/bMmW+qlNe5Z3raUrtnSk+bO/dLT5mde6anzX192e7a1GqUr8VXFq99fE8Wq58/2RPz0ixev3pDFjfR43vivjWL1++f+FjDtyd5eE/s12fx7NrlWXSCTz+gng/MwMvTsnh9+jty88dBV9uyjL1XFh9TeHkWN/RtB2JvlcWK/G0OqN9PZTFwX5nFJyLcsifuz7LokN+R5MFD5ziLZwNem8Ug+tokXzoQ+53L7/8hi5XqV/XEXZ3F+1idyM8LeuJ+f9mWy7P4qMYLDroOcurOgFqZv5XFVuHLsxg8zu+Ju0UWz9BfmcV2ywf1HTuLT3T4lwecx2/N4tmZd2Sx9fQ+A7E/lsX98J4s3iukpOe6ruTnYT1x7dy8sSeunZtLeuJquTnw3lvm55/0lNnOzSN74tq5eXLfcSu56TuP7fw8vieunZtqH5JFX/Cm5fn8v5Lcpyfuycu83JjFIPzrA2XemEUfeaI+v9KOy+IZyD9fnscrs9hdc79aea28fHrguK9bKe+3s3jJXl/sOVk8q35FFs+8Pbrv2Fk8g/fQob44i+v2imVeXp/F9V2Le24WE8p3p/uxtQ/MzS+Xaufllj1xnbwMlNnOy9PbcT15+ZJaee28DBy3k5eB2HZevqHv2Kt5GSivnZe79MR18pKecTLdvuzePXG1caavzHZ/9js9ce3+7H61uEpfdp+e8tp92Tf1xNXGmd55RFb6s4E2t/uyR/TE1caZzrykkpcTc4BabC03tbjaHKAWVxtnBudOOXUOUCuzNgeoxdVyUz12uuNMrby+OUAttpabzjywlpueuFpeanGdvPTNQXtyMzhXzc27aWrl1fJSi+vkZWieXMlNrcxObnriannpzLvTM870xNbmALW4zjjTE9cZZ2pxfeNMT5m1OUAtrjPO9B07rXGmp7zqONMTWxtrOo91Ur9nanG1e6YW13fP1GJr90z18VjlnqmVV7tnanG1vqzvceCLs3K/DLSlds/U4jr3TK1v2KWvE9uvAAAAAOAkL08DAAAAoMOiEQAAAAAdFo0AAAAA6LBoBAAAAECHRSMAAAAAOiwaAQAAANBh0QgAAACAjv8f5wiNJZIczdQAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1fd66547a20>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from ci_helpers import plot_ci_accuracy_1\n",
"\n",
"fig, ax = plt.subplots(1,1, figsize=(20,5))\n",
" \n",
"plot_ci_accuracy_1(ax, CI_list, mu)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Almost all of our CI contained the real population mean all the time. This is great, but typically we will not know population parameters. That forces us to make next best choice. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### CI - Using Unbiased Sample SD\n",
"\n",
"**When we do not know population SD** \n",
"\n",
"For each sample mean $\\overline{X_k}$ calculated, the margin of error M is calculated as below. Note, the constant value $t_{n-1}$ depends on degrees of freedom (n-1). \n",
"\n",
"\n",
"\\begin{equation}\n",
"\\color{blue}{M_k = \\pm t_{n-1} \\dfrac{S_k}{\\sqrt{n}}}\n",
"\\end{equation}\n",
"\n",
"and confidence interval, \n",
"$$\n",
"CI = Y \\pm M\n",
"$$\n",
"\n",
">Hope you noted. This time, for each sample mean, we also calculate unbiased sample variable of that set (that is, divided by n-1), and use that for calculating $M_k$\n",
"\n",
">Also note, instead of Z distribution, we have used t distribution, this is because t has bigger tails, so can better compensate for lower sample sizes. \n",
"\n",
"Sampling and plotting again. We sample again, because, for each sample, this time, we calculate CI using t distribution. And this is only difference between our earlier sampling method and now, as far as sample proportion value $\\widehat{p}$ is considered. Only CI is calculated differently. \n",
"\n",
"**t value for 95% CI:**\n",
"\n",
"Degrees of Freedom is huge topic, but usually it means, one less than sample size, that is $df=n-1$\n",
"For 95% confidence level, the significance value $\\alpha$ (which we will learn in hypothesis testing) is, $\\alpha = 1 - 0.95 = 0.05$. \n",
"\n",
"To calculate t, we simply need to pass, $(1-\\alpha, df)$. A sample calculation shown below for sample size n = 10"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:34:08.505456Z",
"start_time": "2018-09-09T08:34:02.737387Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2.2621571627409915\n"
]
}
],
"source": [
"from scipy import stats\n",
"#Studnt, n=999, p<0.05, 2-tail\n",
"#equivalent to Excel TINV(0.05,999)\n",
"print(stats.t.ppf(1-0.025, 10-1))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:34:09.042128Z",
"start_time": "2018-09-09T08:34:08.510434Z"
}
},
"outputs": [
{
"data": {
"text/latex": [
"$$\\mu_{\\hat{p}}:0.5992 \\ \\ \\ \\ \\sigma_{\\hat{p}}:0.0663$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1fd681de6a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from ci_helpers import sample_with_CI\n",
"\n",
"N = 100\n",
"n = 50\n",
"\n",
"#seed(0)\n",
"\n",
"# sample from population, this time in 't' mode, so CI intervals are calculated with 't' value 2.093\n",
"Y_mean_list, CI_list = sample_with_CI(N, n, population, sigma=sigma, mode='t')\n",
"\n",
"# sample metrics\n",
"mu, var, sigma = get_metrics(Y_mean_list)\n",
"\n",
"# visualize\n",
"fig, (ax1,ax2,ax3) = plt.subplots(1,3,figsize=(15,4))\n",
"mini_plot_SDSP(Y_mean_list,ax1,ax2,ax3,width=0.05, norm_off=True)\n",
"\n",
"from IPython.display import display, Math\n",
"display(Math(r'\\mu_{{\\hat{{p}}}}:{} \\ \\ \\ \\ \\sigma_{{\\hat{{p}}}}:{}'.format(mu, sigma)))\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:34:10.241460Z",
"start_time": "2018-09-09T08:34:09.044130Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CI containing pop.mean:96.0%\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1fd681e0278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from ci_helpers import plot_ci_accuracy_1\n",
"\n",
"fig, ax = plt.subplots(1,1, figsize=(20,5))\n",
" \n",
"plot_ci_accuracy_1(ax, CI_list, mu)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Generally we get more than 95% as above. Only few times, our CI did not contain the population mean. This is good, given we managed to get to this with just unbiased SD. Above result just means, if we take a sampling size, and calculate CI, and do that 100 times, about 95 times our CI would contain population mean, and our result gave 97 times. We could expect at least 95% most of the time. \n",
"\n",
"But can we get any idea, how that \"success\" of getting population mean in our CI, 95% of time, depends on sample size? We get it, greater the sample size, better, but how it would be? Let us take our simulation to next scale as below, trying with various experiment and sample sizes. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id=\"digging-deeper-1\"></a>\n",
"\n",
"### Digging deeper 1\n",
"#### Varying N,n with replacement \n",
"\n",
"Every time above sampling was done, the results varied. Not always above 95% as expected. So,..\n",
"\n",
"> We shall try applying various combinations of z or t distribution with population, or unbiased or biased sample SDs. We also vary sample size and experiment size as well to see the effect. \n",
"\n",
"\n",
"Environment: \n",
"1. Population size T, fixed \n",
"2. Sample size n, varied \n",
"3. Experiment size N, varied \n",
"4. **Sampled without replacement** \n",
"\n",
"\n",
"Applied methods: \n",
"1. Z distribution and population SD \n",
"2. Z distribution and unbiased sample SD \n",
"3. Z distribution and biased sample SD \n",
"4. T distribution and population SD \n",
"5. T distribution and unbiased sample SD \n",
"6. T distribution and biased sample SD "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:43:53.915162Z",
"start_time": "2018-09-09T08:34:10.243446Z"
},
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1fd66564f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from ci_helpers import repeated_experiments_with_CI, plot_ci_accuracy_2, get_dist_label, get_mode_label\n",
"\n",
"fig, axarr = plt.subplots(2,3, figsize=(15,10))\n",
"\n",
"m , _ , s = get_metrics(population)\n",
"dist = 0\n",
"max_sample_size = int(T/4) # 25% of total population\n",
"N_list = range(5,500,20)\n",
"n_list = range(5,max_sample_size,50) # different sample sizes\n",
"\n",
"for i in range(1,4): # 1,2,3 modes\n",
" for each_N in N_list:\n",
" for each_n in n_list:\n",
" \n",
" dist=0 # z dist\n",
" ax = axarr[0,i-1]\n",
" accuracy_list = repeated_experiments_with_CI(population,m,s,[each_N],[each_n],i,dist,'b')\n",
" plot_ci_accuracy_2(ax, accuracy_list)\n",
" ax.set_title('Using {} and {}'.format(get_dist_label(dist), get_mode_label(i)))\n",
" \n",
" dist=1 # t dist\n",
" ax = axarr[1,i-1]\n",
" accuracy_list = repeated_experiments_with_CI(population,m,s,[each_N],[each_n],i,dist,'b')\n",
" plot_ci_accuracy_2(ax, accuracy_list)\n",
" ax.set_title('Using {} and {}'.format(get_dist_label(dist), get_mode_label(i)))\n",
" \n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"One thing is clear. Using population SD gives much superior results. \n",
"\n",
"However unable to make any further inferences till the [pending doubts](#pending-doubts) in bottom section of this chapter are clarified. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Confidence Intervals for Sample Means\n",
"\n",
"### Create Population\n",
"\n",
"Let Y be the random variable indicating temperature over a distribution of certain values.\n",
"\n",
"If limiting values are say, 0 deg C to 40 deg C, our population would thus look like this:\n",
"$[23,13,35,50,10,2,5,0,33, \\cdots ,21]$\n",
"\n",
"Unlike Sample proportions,we do not know or designate any proportion of temperatures in this example, but we know the mean and variance by simply calculating all values in the distribution. These would be our population parameters. \n",
"\n",
"Population mean $\\mu = \\mu_y$ \n",
"Population variance $\\sigma^2 = \\sigma_y^2$ "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:43:54.433847Z",
"start_time": "2018-09-09T08:43:53.917142Z"
}
},
"outputs": [
{
"data": {
"image/png": 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Q/HzSKhTDRrem+MmcOswu/x5Q9hKtC3ylnLZUMV3ncM+I+C+K85x3Be6OiLGe2wcaLox1OPC/EXEhRfH6XuBZFEXKWJwDKK5qu0FD+CMozrk9mOJnpjah+FmcT5TP+RLwM2A+RQ/xvwErA8fVsW6lC4AHgS9ExGcoepO/SrGvf9VrsH63ffll0PPLh8sA60TEbIr37PxymW72xc+Aj0XEjRS935sAH6L4WaSx13rCvugmbjf5daHnbT3g7dnNMs3baty23uV+kqThkJnevHnz5q3PG8XvVN5D+XNtk5TDXIrzPpunb0NxfuDmHZ7bcRmKK/LeTNHjuwg4C3h9w/y3l89ft8/cP09xFeNTy9e4kmIY9V3Azwa83bLN7ZCm5fYDbirzuwTYqmn+IcW/06Xiv4FiKOtDwHUUhe7Yz/qdSNGLvYSi1+5HwEZNz6+0bcsYO1Jc8GoJcCPFRa+WneD359ZttvOxvewLiuLrK+X78W8U5zR/Dlix3b7oMu64+Q3Ttu5ye3azTPO2OpYObb2XNuPNmzdvw3Dzd3QlSX2LiE8DbwZenJmP9vH804FLs8Nv0k5XVbetJEnTmRejkiRVsSPF8Md+C7EXA1fUmM8oqbptJUmatuzRlSRNiohYA7gN2Dgzr57sfCRJ0uiw0JUkSZIkjRSHLkuSJEmSRoqFriRJkiRppFjoSpIkSZJGioWuJEmSJGmkWOhKkiRJkkbKspOdQM28hLQkSZIkja7oZqEJ69GNiFkRcW5EXBMRV0fEQeX01SLizIj4U/n3aeX0iIivRsT1EXFFRGw6UblKkiRJkqauiRy6/CjwfzNzQ2ALYP+I2Aj4GHB2Zq4HnF0+BtgBWK+87Qt8cwJzlSRJkiRNURNW6GbmrZl5aXn/fuAaYC1gF+C4crHjgF3L+7sAx2fhfGDViFhzovKVJEmSJE1Nk3KObkSsC2wCXACskZm3QlEMR8Tq5WJrAQsanrawnHZrU6x9KXp8Ofzww5kzZ85Ac5ckSZIkTY6ZM2d2tdyEF7oR8WTgR8AHMvO+iLbnEreasdTFpjLzKOCodvMlSZIkSdPLhP68UEQsR1HknpCZPy4n3z42JLn8u6icvhCY1fD0tYFbJipXSZIkSdLUNGE9ulF03R4NXJOZhzfMOhXYGzis/PvThukHRMSJwMuAe8eGOEuS1M46x6/DgsULxl+wg1krz2L+XvNrykiSJE20iRy6/EpgDnBlRFxWTvsERYH7g4jYB5gP7F7OOw3YEbgeeBB4xwTmKkmaohYsXsCJ25xSKcYe5+5WUzaSJGkyTFihm5m/of2P+27XYvkE9h9oUpIkSZKkkTMpV12WJEmSulH1dARPRZCmJwtdSZIkDa2qpyN4KoI0PU3oVZclSZIkSRo0C11JkiRJ0kix0JUkSZIkjRQLXUmSJEnSSLHQlSRJkiSNFAtdSZIkSdJIsdCVJEmSJI0Uf0dX0tBa5/h1WLB4Qd/Pn7XyLObvNb/GjDQI7mdptNimJQ0DC11JQ2vB4gWcuM0pfT9/j3N3qzEbDcp03M9VCwGwGNDwmo5tWtLwsdCVJGmCVS0EYOoVAxb3kqSJZKErSZIGbjoW95KkyePFqCRJkiRJI8VCV5IkSZI0Uix0JUmSJEkjxXN0JUmSpAr8SSVp+FjoSpIkSRX4k0rS8HHosiRJkiRppFjoSpIkSZJGikOXJ5jncEiSJEnSYFnoTjDP4ZAkSZKkwXLosiRJkiRppNijK0mSJEmTwNMaB8dCV5KkcXggIkkaBE9rHBwLXUmSxuGBiKSpzi/sNN1Y6EqSJEkjzi/sNN14MSpJkiRJ0kix0JUkSZIkjRSHLksD4HkwkiRJ0uSZsEI3Io4BdgIWZebG5bRDgHcDd5SLfSIzTyvnfRzYB3gMODAzT5+oXKWqPA9GkiRJmjwTOXT5WGD7FtOPyMzZ5W2syN0I2AN4Yfmcb0TEjAnLVJIkSZI0ZU1YoZuZ5wF3dbn4LsCJmflwZt4IXA9sPrDkJEmSJEkjYxjO0T0gIvYCLgb+b2beDawFnN+wzMJympp4Lqg0WmzTkiRJ1U12oftN4LNAln+/DLwTiBbLZqsAEbEvsC/A4Ycfzpw5cwaTaU02Wn4j4sFqz7/zzjv/8XiVR1bhpJf1fy7op/9w8BPiqR517+fpajpux+nYpuvez1XjDSLmROQ47KbjOk9Xw9ZeJuJ9Y47ql/uldzNnzuxquUktdDPz9rH7EfFt4Oflw4XArIZF1wZuaRPjKOCosYcDSLNW85bMI1eq9vzGnVt3PNXD/VKP6bgdXef+nl/n5+IgYk5EjsNuOq7zdDVs7WUi3jfmqH65XwZnUn9HNyLWbHi4G3BVef9UYI+IWCEingOsB1w40flJkiRJkqaeifx5oe8DWwMzI2Ih8Clg64iYTdETexPwHoDMvDoifgDMAx4F9s/MxyYqV0mSJEnS1DVhhW5m7tli8tEdlj8UOHRwGUmSpHa8MJokaSqb7ItRSZKkIbRg8QJO3Kb/C6Ptce5uNWYjSb3zC7vpzUJXkiRJ0sjxC7vpbVIvRiVJkiRJUt0sdCVJkiRJI8VCV5IkSZI0Uix0JUmSJEkjxYtRSZKkKckrqkqS2rHQlSRJU5JXVJUktWOhK0mSJEkjwJEuj7PQlSRJkqQR4EiXx/V9MaqIeFJEvCYinl1nQpIkSZIkVdF1oRsRx0bEfuX95YELgTOAP0bEDgPKT5IkSZKknvTSo/t64Pzy/s7AKsAzgUPKmyRJkiRJk66XQvdpwKLy/vbAjzJzEXAisFHdiUmSJEmS1I9eCt3bgI0jYgZF7+5Z5fQnA4/UnZgkSZIkSf3o5arLxwAnAbcAjwFnl9NfBlxbc16SJEmSJPWl60I3Mz8TEVcD6wAnZ+aSctajwOcHkZwkqZqqv6cHo/WbepIkaXroutCNiK2An2bmo02zTgBeUWtWkqRaVP09PRit39ST9ER+GSZpVPUydPlcYE0evyDVmKeW82bUlZQkSZIGzy/DJI2qXi5GFUC2mP50YHE96UiSJEmSVM24PboRcWp5N4HvRsTDDbNnABsDvxtAbpIkSZIk9ayboct/Lf8GcDfwt4Z5S4DfAN+uOS9JkiRJkvoybqGbme8AiIibgC9lpsOUJS3FC5pIkiRpWPTy80KfHmQikqY2L2giSZKkYdHLzwutBhwKbAesTtOFrDLzKfWmJkmSJElS73r5eaGjgU2Ao4BbaH0FZkmSJEmSJlUvhe52wGsz84JBJSNJkiRJUlW9FLqLgAcGlYgkSZKkqaHqRSi9AKUGrZdC92DgMxGxd2Za8EqSJEnTVNWLUHoBSg1aL4XuJ4F1gUURcTPwSOPMzHxRjXlJkiRJktSXXgrdHw4sC0mSJEmSajJhv6MbEccAOwGLMnPjctpqwEkUPcU3AW/JzLsjIoAjgR2BB4G3Z+alVV5fkiRJkjQ9LDP+IrU5Fti+adrHgLMzcz3g7PIxwA7AeuVtX+CbE5SjJEmSJGmK67pHNyLup8Nv52bmUzo9PzPPi4h1mybvAmxd3j8OmAv8azn9+MxM4PyIWDUi1szMW7vNV6Or6lX+wCv9SZIkSaOsl3N0D2h6vBywCfAm4NA+X3+NseI1M2+NiNXL6WsBjZXMwnKaha4qX+UPvNKfJEmSNMp6OUf3uFbTI+JSYDvga3UlBUSrFNq8/r4Uw5s5/PDDmTNnTo1p1G+j5TciHqz2/DvvvHNg8aaCqus8FmOQ6+1+6T/GIN/fu5++O4seWtR3vNVXXJ2TX39y/wl1Ydg+I1rFrNtUWOepkGPdpsI6T8fP2rpNhf0yFfbzdMxxOq7zIEzH/VLVzJkzu1qulx7dds4FvtLnc28fG5IcEWsCY0egC4FZDcutDdzSKkBmHgUcNfawzzwmzLwl88iVqj2/cefWHW8qqLrOYzEGud7ul/5jDPL9Pfe+uZV/82/Q+2XYPiNaxazbVFjnqZBj3abCOk/Hz9q6TYX9MhX283TMcTqu8yBMx/0yUeq4GNUeQL9l/6nA3uX9vYGfNkzfKwpbAPd6fq4kSZIkqRu9XIzqSp7YYxrAGsBqwPu6eP73KS48NTMiFgKfAg4DfhAR+wDzgd3LxU+j+Gmh6yl+Xugd3eYpSZIkSZreehm6/MOmx38H7gDmZua14z05M/dsM2u7FssmsH8PuUnqUdWrV3vlakmjxqv6Tx/+D5RGXy8Xo/r0IBORNLGqXr3aK1dLGjVe1X/68H+gNPp6vhhVRGwLbEQxjPnqzJxbd1KSJEmSJPWrl3N01wJOAV7C41dAflZEXAzslpktr4osSZIkSdJE6uWqy18FHgOen5mzMnMWsF457auDSE6SJEmSpF71MnT5tcDWmXnj2ITMvCEiDgTOrj0zSZIkSZL6UMfv6P69hhiSJEmSJNWilx7ds4GvRsSembkAICLWAY7EHl1JkqSB82dxJKk7vRS6BwI/BW6IiFsorrq8FnBFOU8jwn+ikiQNJ38WR5K608vv6C4ANo2I1wIbAAHMy8yzBpWcJof/RCVJkiRNZeOeoxsRO0TETRHxVIDMPDMzv5aZXwUuKue9buCZSpIkSZLUhW56dA8AvpiZ9zbPyMx7I+LzwEHAGXUnJ00Uh2tLkiRJo6ObQvdFwIc6zD8HOLiedKTJ4XBtSZIkdVK1YwTsHJlI3RS6z6DzTwgl8PR60pEkSZKk4VO1YwTsHJlI3fyO7kKKXt12XgT8pZ50JEmSJEmqpptC9xfAZyPiSc0zImIl4DPlMpIkSZIkTbpuhi4fCrwZ+FNEfA24tpy+IcWFqgL43GDSkyRJkiSpN+MWupm5KCJeAXyToqCNsVnA6cB+mXn74FKUJEmSJKl73fTokpk3AztGxNOA51MUu3/KzLsHmZwkSZIkSb3qqtAdUxa2Fw0oF0mSJEmSKuvmYlSSJEmSJE0ZFrqSJEmSpJFioStJkiRJGikWupIkSZKkkWKhK0mSJEkaKRa6kiRJkqSR0tPPC0mSpOG0zvHrsGDxgr6fP2vlWczfa36NGUmSNHksdKUpwoNYSZ0sWLyAE7c5pe/n73HubjVmI0nS5LLQlaYID2IlSZKk7niOriRJkiRppNijK0l9qjqcHBxSLkmSNAhDUehGxE3A/cBjwKOZuVlErAacBKwL3AS8JTPvnqwcJalZ1eHk4JBySZKkQRimocvbZObszNysfPwx4OzMXA84u3wsSZIkSVJHw1ToNtsFOK68fxyw6yTmIkmSJEmaIoZi6DKQwBkRkcC3MvMoYI3MvBUgM2+NiNUnNUP1zZ/FkSRJ6p7XgJCqG5ZC95WZeUtZzJ4ZEdd2+8SI2BfYF+Dwww9nzpw5g8qxFhstvxHxYLXn33nnnQOLN4iYqzyyCie9rP/zGD/9h4NrXeexGIPcjlNhvwxbvEHEHPZ4g4g5ETnufvruLHpoUd/xVl9xdU5+/clPiD/s62yOkx9vEDEnIse6TYV1HrYcp+L/1KrHTlD/8dNE7Je6Dds6DyLmVNwvVc2cObOr5Yai0M3MW8q/iyLiFGBz4PaIWLPszV0TaHlUVfb+HjX2cEISrmDeknnkStWe37hz6443iJjDFm8QMd0v03O/TId1bhVz7n1zK/+m81RbZ3Oc/HiDiDkROdZtKqzzsOXo/9R6Yk7EfqnbsK3zIGJOxf0yUSb9HN2IWDkiVhm7D7wOuAo4Fdi7XGxv4KeTk6EkSZIkaSoZhh7dNYBTIgKKfL6Xmb+KiIuAH0TEPsB8YPdJzFGSJEmSNEVMeqGbmTcAL24x/a/AdhOfkSRJkiRpKpv0ocuSJEmSJNXJQleSJEmSNFIsdCVJkiRJI8VCV5IkSZI0Uix0JUmSJEkjxUJXkiRJkjRSLHQlSZIkSSPFQleSJEmSNFIsdCVJkiRJI8VCV5IkSZI0Uix0JUmSJEkjxUJXkiRJkjRSLHQlSZIkSSPFQleSJEmSNFIsdCVJkiRJI8VCV5IkSZI0Uix0JUmSJEkjxUJXkiRJkjRSLHQlSZIkSSNl2clOQJIkaVStc/w6LFi8oO/nz1p5FvP3ml9jRpI0PVjoSpIkDciCxQs4cZtT+n7+HufuVmM2kjR9OHRZkiRJkjRSLHQlSZIkSSPFQleSJEmSNFIsdCVJkiTDxX4fAAATB0lEQVRJI8VCV5IkSZI0Uix0JUmSJEkjxUJXkiRJkjRSLHQlSZIkSSPFQleSJEmSNFIsdCVJkiRJI2XoC92I2D4i/hgR10fExyY7H0mSJEnScBvqQjciZgD/BewAbATsGREbTW5WkiRJkqRhtuxkJzCOzYHrM/MGgIg4EdgFmDepWUmSJEmq1TrHr8OCxQv6fv6slWcxf6/5NWakqWzYC921gMZ3+0LgZZOUiyRJkqQBWbB4ASduc0rfz9/j3N1qzEZTXWTmZOfQVkTsDrw+M99VPp4DbJ6Z729YZl9g3/LhisBDE55ovWYCdw5xvEHEnI45us7DGXM65jgd13kQMYc93iBiTsccp+M6DyLmsMcbRMzpmKPrPJwxRyHHOzNz+/GCDHuP7kJgVsPjtYFbGhfIzKOAoyYyqUGKiIszc7NhjTeImNMxR9d5OGNOxxyn4zoPIuawxxtEzOmY43Rc50HEHPZ4g4g5HXN0nYcz5nTKcagvRgVcBKwXEc+JiOWBPYBTJzknSZIkSdIQG+oe3cx8NCIOAE4HZgDHZObVk5yWJEmSJGmIDXWhC5CZpwGnTXYeE6juYdiDGNZtjsMXbxAxhz3eIGJOxxyn4zoPIuawxxtEzOmY43Rc50HEHPZ4g4g5HXN0nYcz5rTJcagvRiVJkiRJUq+G/RxdSZIkSZJ6YqE7JCLimIhYFBFX1RRvVkScGxHXRMTVEXFQxXgrRsSFEXF5Ge/TNeU5IyL+EBE/ryneTRFxZURcFhEX1xBv1Yj4YURcW27Ll1eMt36Z29jtvoj4QMWYHyz3yVUR8f2IWLFKvDLmQWW8q/vJr9X7OSJWi4gzI+JP5d+n1RBz9zLHv0dET1fnaxPvi+W+viIiTomIVSvG+2wZ67KIOCMinlU1x4Z5H46IjIiZFXM8JCL+0vCe3LGOHCPi/RHxx3L/fKFijic15HdTRFxWMd7siDh/7HMiIjbvNl6HmC+OiN+Xnz8/i4in9BCv5ed1v22mQ7wq7aVdzL7aTId4fbWZdvEa5vfTXtrl2Feb6ZRjhfbSLse+2kyHeH21mQ7xqrSXlscjUVy49IKyvZwUxUVMq8Q7ICKu7/V9M07ME8r9fFUUnyPLVYx3dDntiiiOVZ5cJV7D/K9FxAM1rfOxEXFjw/txdsV4ERGHRsR15fvqwBpy/HVDfrdExE8qxtsuIi4t4/0mIp5fMd62ZbyrIuK4iOjp1NNoOtbut62ME7Pv9tImXl9tZSmZ6W0IbsBWwKbAVTXFWxPYtLy/CnAdsFGFeAE8uby/HHABsEUNeX4I+B7w85rW+yZgZo375TjgXeX95YFVa4w9A7gNeHaFGGsBNwJPKh//AHh7xbw2Bq4CVqI4j/8sYL0eYyz1fga+AHysvP8x4PM1xNwQWB+YC2xWQ7zXAcuW9z/fS45t4j2l4f6BwH9XzbGcPoviIn039/J+b5PjIcCHK7xfWsXcpnzfrFA+Xr3qOjfM/zLw7xXzOwPYoby/IzC3hnW+CHh1ef+dwGd7iNfy87rfNtMhXpX20i5mX22mQ7y+2ky7eOXjfttLuxz7ajMd4lVpL+P+r++lzXTIsa820yFelfbS8niE4v/fHuX0/wbeVzHeJsC69HFc0SHmjuW8AL5fQ46N7eVwys+LfuOVjzcD/hd4oKZ1PhZ4cx/tpV28dwDHA8v00V7GPZYFfgTsVTHH64ANy+n7AcdWiPcKYAHwgnL6Z4B9etyWTzjW7retjBOz7/bSJl5fbaX5Zo/ukMjM84C7aox3a2ZeWt6/H7iGoijqN15m5ti3e8uVt0oneEfE2sAbgP+pEmdQym+YtwKOBsjMJZl5T40vsR3w58y8uWKcZYEnld/wrUTTb033YUPg/Mx8MDMfBf4fsFsvAdq8n3eh+OKA8u+uVWNm5jWZ+cde4owT74xynQHOp/jt7irx7mt4uDI9tpkOnwtHAB+tMV7f2sR8H3BYZj5cLrOoYjyg+CYfeAvFP70q8RIY60F6Kj22mTYx1wfOK++fCbyph3jtPq/7ajPt4lVsL+1i9tVmOsTrq82M8z+v3/ZS9//RdvGqtJeOOfbaZjrE66vNdIhXpb20Ox7ZFvhhOb2X9tIyXmb+ITNv6javLmOeVs5L4EK6by/t4t0H/9jPT6L79tIyXkTMAL5I0V56UvdxYod47wM+k5l/L5frpb10zDEiVqF4H3XVo9shXr/tpVW8x4CHM/O6cnpP7aX5WLt8r/TVVtrFLHPvu720iddXW2lmoTsNRMS6FN+0XFAxzowohj8tAs7MzErxgK9QfJj+vWKcRgmcERGXRMS+FWM9F7gD+E45nOJ/ImLl6in+wx70cMDeSmb+BfgSMB+4Fbg3M8+omNdVwFYR8fSIWIniW7VZFWMCrJGZt0Jx8AOsXkPMQXon8MuqQcohVguAtwH/XkO8nYG/ZOblVWM1OKAc+nZM9DikvI0XAK8qh0b9v4h4aQ0xAV4F3J6Zf6oY5wPAF8v98iXg45UzK9rNzuX93emzzTR9XlduM3V9/ncZs6820xyvaptpjFdXe2mxzpXaTFO8WtpLm/3Sd5tpile5zTTFq9Remo9HgD8D9zR86bKQHr6UGMDxTceY5TDMOcCvqsaLiO9QjA7bAPhaxXgHAKeOfe70qsM6H1q2lyMiYoWK8Z4HvDWKIfS/jIj1asoRii/1z276wq2feO8CTouIhRT7+bB+41EUecvF46ebvJne2kvzsfbTqdBW2sSsqm28ftpKIwvdERfF+Ro/Aj7QS8NtJTMfy8zZFN+qbB4RG1fIaydgUWZeUiWnFl6ZmZsCOwD7R8RWFWItSzE88ZuZuQmwmGL4YGXl+RA7AydXjPM0il6f5wDPAlaOiH+pEjMzr6EYgngmxQfL5cCjHZ80YiLiYIp1PqFqrMw8ODNnlbEOqJjXSsDB1FAwN/gmxYHDbIovS75cQ8xlgadRDOH6CPCD8lvkqvak4pdDpfcBHyz3ywcpR21U9E6Kz5xLKIZoLuk1QJ2f14OI1ylmv22mVbwqbaYxXplP5fbSIsdKbaZFvMrtpcO+7qvNtIhXqc20iFepvTQfj1CMRFpqsX7jVTm+6TLmN4DzMvPXVeNl5jso/v9fA7y1QrytKL506LpY7jLHj1MU4S8FVgP+tWK8FYCHMnMz4NvAMTXkOKbn9tIm3geBHTNzbeA7FMPK+4oHvJCiY+SIiLgQuJ8uj8naHGu3+mzpuq3UffzeRbye20ojC90RVn4L8iPghMz8cV1xsxi+OxfYvkKYVwI7R8RNwInAthHx3Rpyu6X8uwg4heJDol8LgYUN3/b9kKLwrcMOwKWZeXvFOK8BbszMOzLzEeDHFOdzVJKZR2fmppm5FcUQzao9aAC3R8SaAOXfrocbTaSI2BvYCXhbOWSmLt+jh+FGbTyP4kuNy8u2szZwaUQ8s9+AmXl7+Y/17xQHDVXazJiFwI/LUUcXUnxL2/PFKRpFMTT/jcBJNeS3N0VbgeLLpsrrnJnXZubrMvMlFAdKf+7l+W0+r/tuM4P4/G8Xs98200WOPbWZFvEqt5dWOVZpM23WuVJ76bBf+mozbeL13WbabMNK7WVMw/HIFsCq8fhFetamj9N4ajq+6RgzIj4FPIPinMTK8cppj1Hs557/xzTE2wZ4PnB92V5Wiojrq+aYxfD1zGJo/nfo4/O2aZ0XUryfoDjOe1HVHAEi4ullbr+oGG8H4MUNx44n0cdxWdM2/H1mviozN6cY8t/tMdlSx9oUvadV2krdx+9t41VtK2ChO7LKb4OPBq7JzK6/SeoQ7xlRXk0zIp5EUWBd22+8zPx4Zq6dmetSfFN1TmZW6omMiJWjOL+CKIYYv45ieFS/Od4GLIiI9ctJ2wHzquTYoK6eqfnAFhGxUrnPt6P4VreSiFi9/LsOxYFSHbmeSnGwRPn3pzXErFVEbE/xbfPOmflgDfEah1TtTIU2A5CZV2bm6pm5btl2FlJc6OW2Cjmu2fBwNyq0mQY/ofiHSkS8gOJCbndWjPka4NrMXFgxDhT/1F9d3t+WGr7IaWgzywCfpLjAR7fPbfd53Vebqfvzv1PMfttMh3h9tZlW8aq2lw459tVmOuyXvtvLOPu65zbTIV5fbabDNqzSXlodj1wDnEsxrBN6ay+1Ht90ihkR7wJeD+xZflFSJd4fo7yab7md/0+3ebeJd0lmPrOhvTyYmV1dLbhDzGsbvqwLinNBu20v7fbLP9oLxXvyutYReooJRW/2zzPzoYrxrgGeWrZlgNfS5XFZh2041l5WoPi87aq9tDnWfht9tpUOMfs+fm8Xr9+20uoFvA3BjaKQuBV4hOKfcU9XVGsRb0uKoQhXAJeVtx0rxHsR8Icy3lX0cNXTLmJvTQ1XXaY4p/by8nY1cHANMWcDF5fr/RPgaTXEXAn4K/DUmrbfpyk+qK+iuFLiCjXE/DVFUX85sF0fz1/q/UxxXsjZFAdIZwOr1RBzt/L+w8DtwOkV411PcXXDsTbT9VWS28T7UblfrgB+RnGxnUrr3DT/Jnq7imyrHP8XuLLM8VRgzRr2y/LAd8t1vxTYtuo6U1y58701vRe3BC4p398XAC+pIeZBFAdc11GcjxU9xGv5ed1vm+kQr0p7aRezrzbTIV5fbaZdvIrtpV2OfbWZDvGqtJe2691Pm+mQY19tpkO8Ku2l5fEIxTHAheV78mS6/F/YId6BZXt5lKLQ/58acnyUovd6bFt0ezXspeJRdFb9tnwvXkUx1P8pVfJrWqbXqy63W+dzGnL8LuVVhSvEW5Wi1/VK4PcUvaeVciznzaXoPa1jnXcr87u8jPvcivG+SFEs/5Fi+H/XOTbE3prHr2jcV1sZJ2bf7aVNvL7aSvMtymCSJEmSJI0Ehy5LkiRJkkaKha4kSZIkaaRY6EqSJEmSRoqFriRJkiRppFjoSpIkSZJGioWuJEmSJGmkWOhKkgRERI5zO3aycxyUiFixXMedJjsXSZLqsOxkJyBJ0pBYs+H+TsC3m6b9bWLTqS4ilgEiMx+bwNdcLjMfmajXkySpFXt0JUkCMvO2sRtwT/O0zLwXICKeHREnR8Q9EfHXiDg1Ip4zFiciDouIiyPi3RExPyIeiIhvRcSyEfGBiPhLRNwZEZ+PiGh43m0RcXBEnBgRiyPilog4sDHHiFgtIo6OiDsi4r6IOCciZjfMf28Ze5eImAcsAZ4TEa+IiLPKfO+NiPMi4qUNoW8q//6s7Nm9tnFdmnJ4b0Tc2WJ9942IG4GHy3VdplyfGyPibxFxRUS8pdJOkiSpSxa6kiR1KSJWAeYCdwOvArakKIrPjIgVGhZdH3gNsD3wVmAv4OfAhsB2wH7Ah4Edm17io8ClwCbA54AvR8SO5WvPAH4FPB3YAXgJcDFwTkQ8oyHGKsBHgH2AFwK3Ak8GjgFeCWwBXAOcFhFPLZ8zVvTOoejF3rLHTbMBsAvwRmA28BjwReCfgfcAGwFfBo6LiNf0GFuSpJ45dFmSpO7NARZn5r5jEyJiH+Au4PXAqQ3LvjMzFwPzIuJsYFNgp8x8FLg2Ij4EbAP8ouE552XmF8r710XEFsCHgNPK+M8HtszMJeUyH42InYE9ga+W05YH3pOZVzfEPaNxJSLifcDuwGuBHwJ3lLPuKXu0e7UsMCcz7yrjrwq8H3hlZl5ULnNjRLycosg/q4/XkCSpaxa6kiR17yXABhHxQNP0lYDnNTy+oSxyx9wOXFMWuY3TVm+K8/sWjw9ueO2nAnc1jHgGWLHptf/WVOQSEWsCnwVeXb7mjDLndZpXsE83jhW5pX8ClgPObcp1OeDaml5TkqS2LHQlSereMsAFwN4t5t3ZcL/5YkzZZlovpxAtAyykGPrc7N6G+w+2mP89isL2QGA+8DDwG4re307+DkTTtOVaLLe46fHYem0PNPcQL0GSpAGz0JUkqXuXUlyR+fbMvH8A8bdo8fiahtf+JPBwZi7oNmB5watXAntn5i/LaWvzxN7kRykK7xlNT78DeGbTtNmM78oy5qzM/E23uUqSVBcvRiVJUveOA+4HfhIRr4qI50TEqyPiyIh4dg3xXx0RH46I9SJiP2AP4Ihy3mkUxe6pEfG6iFi3vJryf0TEy9oFzMwE/gTsFREblMt+n4afSyqHVC8EXhMRzyzPsQU4B3hWRHwkIp4XEe8Fdh5vJcphzEcCR0bEXuVzN4mI/SPinb1uFEmSemWhK0lSlzLzPoorEt8C/Jiit/U7FMOC7+3w1G59gaIX9zLg34GPZubPy9d+DHgd8DvgWOA64ETgOSw9PLjZXsAzyrjfBb5OcTXmRh+kuAr0AuD88jUvpxjufCBwOcW6f77LdfkocBjwCYrtdDpFkXxjl8+XJKlvUXzRK0mSJlNE3Ab8R2Z+fbJzkSRpqrNHV5IkSZI0Uix0JUmSJEkjxaHLkiRJkqSRYo+uJEmSJGmkWOhKkiRJkkaKha4kSZIkaaRY6EqSJEmSRoqFriRJkiRppFjoSpIkSZJGyv8Hs7NVZf82/0QAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1fd64989828>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from math import floor\n",
"import matplotlib.pyplot as plt\n",
"from random import random, seed, shuffle\n",
"from SDSPSM import get_metrics, drawBarGraph, getPopulationStatistics\n",
"from ci_helpers import createRandomPopulation\n",
"\n",
"seed(0)\n",
"\n",
"popMin = 1 # Min population\n",
"popMax = 40 # Max population\n",
"freqMax = 200 # freq of any set of population (for eg, no of occurances of temperatures at 25 deg C)\n",
"\n",
"population, population_freq = createRandomPopulation(popMax - popMin + 1, freqMax)\n",
"\n",
"#mu, var, sigma = get_metrics(population) # just to cross check..\n",
"#print(mu, var, sigma) \n",
"\n",
"N, mu, var, sigma = getPopulationStatistics(population_freq, popMin)\n",
"\n",
"#visualize\n",
"fig, (ax1) = plt.subplots(1,1, figsize=(16,3))\n",
"drawBarGraph(population_freq, ax1, [N, mu, var, sigma], 'Population Distribution','Temperature', 'Counts')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Quick Visuals\n",
"\n",
"Let us visualize the density function and PMF as usual.."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:43:55.497240Z",
"start_time": "2018-09-09T08:43:54.435846Z"
}
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1fd69dd94a8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from ci_helpers import mini_plot_SDSM\n",
"\n",
"fig, (ax1,ax2,ax3) = plt.subplots(1,3,figsize=(15,4))\n",
"mini_plot_SDSM(population, ax1, ax2, ax3, popMax, width=1)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Sampling from the Population \n",
"\n",
"Let us sample from population, N no of times, each time with sample set of size n. If $n > 30$, the resulting sampling distribution should be approximately normal (always if population itself was normally distributed)\n",
"\n",
"Remember, for Population described by random variable Y, we describe the sampling distribution of sample means by\n",
"\n",
"\\begin{equation}\n",
"\\color {blue}{\n",
"\\begin{aligned}\n",
"\\mu_{\\overline{Y}} = \\mu(\\overline{\\widehat{Y}}) \\\\ \\\\\n",
"\\sigma_{\\overline{Y}} = \\sigma(\\overline{\\widehat{Y}})\n",
"\\end{aligned}\n",
"}\n",
"\\end{equation}\n",
"\n",
"where the $\\widehat{}$ indicates the statistical outcome. And statistically by CLT, \n",
"\n",
"\n",
"\\begin{equation}\n",
"\\color {blue} {\n",
"\\begin{aligned}\n",
"\\mu_{\\overline{Y}} = 19.4 \\approx 20 = \\mu \\\\ \\\\\n",
"\\sigma_{\\overline{Y}} \\approx 1.52 \\approx \\dfrac{11.32}{\\sqrt{50}} = \\dfrac {\\sigma}{\\sqrt{n}} \n",
"\\end{aligned}\n",
"}\n",
"\\end{equation}\n",
"\n",
"\n",
">$\\overline{Y}$ is called the sample means which is a random variable."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:43:56.282807Z",
"start_time": "2018-09-09T08:43:55.499240Z"
}
},
"outputs": [
{
"data": {
"text/latex": [
"$$\\mu_{\\hat{p}}:19.5912 \\ \\ \\ \\ \\sigma_{\\hat{p}}:1.5865$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1fd6b1e6358>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from ci_helpers import sample_with_CI\n",
"from random import seed\n",
"\n",
"N = 100\n",
"n = 50\n",
"\n",
"#seed(0)\n",
"\n",
"# sample from population\n",
"Y_mean_list, CI_list = sample_with_CI(N, n, population, sigma=sigma, mode='z')\n",
"\n",
"# sample metrics\n",
"mu, var, sigma = get_metrics(Y_mean_list)\n",
"\n",
"# visualize\n",
"fig, (ax1,ax2,ax3) = plt.subplots(1,3,figsize=(15,4))\n",
"mini_plot_SDSM(Y_mean_list, ax1, ax2, ax3, popMax, width=0.1)\n",
"\n",
"from IPython.display import display, Math\n",
"display(Math(r'\\mu_{{\\hat{{p}}}}:{} \\ \\ \\ \\ \\sigma_{{\\hat{{p}}}}:{}'.format(mu, sigma)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Ok I get it, the resulting distribution and density functions look abnormal (ugly, slightly normal). Try increasing experiment size N, and you will see much better approximation of normal distribution. We had to stick with N=100 because we have to see how CI from each sample mean performs, so bear with me here."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### CI - Using Population SD\n",
"\n",
"**If we know population SD** \n",
"\n",
"Just like in case of Sample proportions, we calculate the CI as below. \n",
"\n",
"\n",
"\\begin{equation}\n",
"\\color{blue}{M = 1.96 \\dfrac{\\sigma}{\\sqrt{n}}} \n",
"\\end{equation}\n",
"\n",
"and Confidence interval \n",
"\n",
"$$ CI = Y \\pm M $$"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:43:57.390175Z",
"start_time": "2018-09-09T08:43:56.284792Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CI containing pop.mean:100.0%\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1fd6b396cc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from ci_helpers import plot_ci_accuracy_1\n",
"\n",
"fig, ax = plt.subplots(1,1, figsize=(20,5))\n",
" \n",
"plot_ci_accuracy_1(ax, CI_list, mu)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Almost all of our CI contained the real population mean all the time just like in case of Sample proportions. This is great, but typically we will not know population parameters. That forces us to make next best choice. Also note, if our population size was lesser, performance reduces here too. \n",
"\n",
"### CI - Using Unbiased Sample SD\n",
"\n",
"**When we do not know population SD** \n",
"\n",
"Just like in case of Sample proportions, we calculate the CI as below. \n",
"\n",
"\n",
"\\begin{equation}\n",
"\\color{blue}{M_k = \\pm t_{n-1} \\dfrac{S_k}{\\sqrt{n}}}\n",
"\\end{equation}\n",
"\n",
"and confidence interval, \n",
"$$\n",
"CI = Y \\pm M\n",
"$$\n",
"\n",
"Just like before, we sample again because now, our CI values differ as given by equations above. "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:43:58.015804Z",
"start_time": "2018-09-09T08:43:57.392162Z"
}
},
"outputs": [
{
"data": {
"text/latex": [
"$$\\mu_{\\hat{p}}:19.6824 \\ \\ \\ \\ \\sigma_{\\hat{p}}:1.5962$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1fd69e022e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from ci_helpers import sample_with_CI\n",
"\n",
"N = 100\n",
"n = 50\n",
"\n",
"#seed(0)\n",
"\n",
"# sample from population, this time in 't' mode, so CI intervals are calculated with 't' value 2.093\n",
"Y_mean_list, CI_list = sample_with_CI(N, n, population, sigma=sigma, mode='t')\n",
"\n",
"# sample metrics\n",
"mu, var, sigma = get_metrics(Y_mean_list)\n",
"\n",
"# visualize\n",
"fig, (ax1,ax2,ax3) = plt.subplots(1,3,figsize=(15,4))\n",
"mini_plot_SDSM(Y_mean_list, ax1, ax2, ax3, popMax, width=0.1)\n",
"\n",
"from IPython.display import display, Math\n",
"display(Math(r'\\mu_{{\\hat{{p}}}}:{} \\ \\ \\ \\ \\sigma_{{\\hat{{p}}}}:{}'.format(mu, sigma)))\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:43:59.242120Z",
"start_time": "2018-09-09T08:43:58.017804Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CI containing pop.mean:97.0%\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1fd69d64ef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from ci_helpers import plot_ci_accuracy_1\n",
"\n",
"fig, ax = plt.subplots(1,1, figsize=(20,5))\n",
" \n",
"plot_ci_accuracy_1(ax, CI_list, mu)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id=\"digging-deeper-2\"></a>\n",
"\n",
"### Digging deeper 2\n",
"#### Varying N,n with replacement </font>\n",
"\n",
"Every time above sampling was done, the results varied. Not always above 95% as expected. So,..\n",
"\n",
"> We shall try applying various combinations of Z or T distribution with population, or unbiased or biased sample SDs. We also vary sample size and experiment size as well to see the effect. \n",
"\n",
"\n",
"Environment: \n",
"1. Population size T, fixed \n",
"2. Sample size n, varied \n",
"3. Experiment size N, varied \n",
"4. **Sampled without replacement** \n",
"\n",
"\n",
"Applied methods: \n",
"1. Z distribution and population SD \n",
"2. Z distribution and unbiased sample SD \n",
"3. Z distribution and biased sample SD \n",
"4. T distribution and population SD \n",
"5. T distribution and unbiased sample SD \n",
"6. T distribution and biased sample SD "
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"ExecuteTime": {
"end_time": "2018-09-09T08:54:03.031269Z",
"start_time": "2018-09-09T08:43:59.244103Z"
},
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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