{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Exemplo Transformação de Box e Cox" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from scipy import stats\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "plt.rcParams[\"figure.figsize\"] = (5,5)\n", "plt.rcParams[\"figure.dpi\"] = 100" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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educationincomewomenprestigecensustype
occupation
gov.administrators13.111235111.1668.81113prof
general.managers12.26258794.0269.11130prof
accountants12.77927115.7063.41171prof
purchasing.officers11.4288659.1156.81175prof
chemists14.62840311.6873.52111prof
\n", "
" ], "text/plain": [ " education income women prestige census type\n", "occupation \n", "gov.administrators 13.11 12351 11.16 68.8 1113 prof\n", "general.managers 12.26 25879 4.02 69.1 1130 prof\n", "accountants 12.77 9271 15.70 63.4 1171 prof\n", "purchasing.officers 11.42 8865 9.11 56.8 1175 prof\n", "chemists 14.62 8403 11.68 73.5 2111 prof" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scipy.stats import chisquare\n", "\n", "df = pd.read_csv('https://raw.githubusercontent.com/cibelerusso/IntroducaoaInferenciaEstatistica/main/Dados/Prestige.csv', index_col=0, sep=',')\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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1wFOAT4ywVEmSOtH1HvW2HAocCFw405CZ08AlwCO29qaIWBARS2YmYPFOr1SSpJ2kclAf2L5e19d+Xc+yLTkFmO6Zrh5+aZIkjUbloB7U6cDePdPB3ZYjSdLgOj1H/Udc274eAKztaT8A+P7W3pSZm4BNM/P9574lSRonlfeor6QJ66NnGtpzzkcAF3dVlCRJo9TpHnVELAIO62k6NCJWADdm5pqIOBN4TUT8jCa43whcA5w74lIlSepE14e+HwJ8tWf+jPb1w8AJwNtorrV+L7AP8O/AsZl5y+hKlCSpO11fR30RsNWTyJmZwOvaSZKkeafyOWpJkuY9g1qSpMIMakmSCjOoJUkqzKCWJKkwg1qSpMIMakmSCjOoJUkqzKCWJKmwrm8hKkn6IyYnJ7suYWBLly5lYmKi6zLGmkEtSUVtnL4BCFauXNl1KQNbuHBPVq2aNKx3gEEtSUXdtmE9kKw4/mT2O3R51+XM2rq1q7nknNOYmpoyqHeAQS1JxS3af4J9J5Z1XYY64mAySZIKM6glSSrMoJYkqTCDWpKkwgxqSZIKM6glSSrMoJYkqTCDWpKkwgxqSZIKM6glSSrMoJYkqTCDWpKkwgxqSZIK8+lZs7RmzRqmpqa6LmMg4/zweUmarwzqWVizZg3Ll9+XjRs3dF3KDrlt061dlyBJ2k4G9SxMTU2xceMGjnjuqSw56JCuy5m1tT+8mMs/9142b97cdSmSpO1kUA9gyUGHjOVD3NetXd11CZKkWXIwmSRJhRnUkiQVZlBLklSYQS1JUmEGtSRJhRnUkiQVZlBLklSYQS1JUmEGtSRJhRnUkiQVZlBLklSYQS1JUmEGtSRJhRnUkiQVZlBLklSYQS1JUmEGtSRJhRnUkiQVZlBLklSYQS1JUmEGtSRJhRnUkiQVZlBLklSYQS1JUmEGtSRJhRnUkiQVZlBLklSYQS1JUmEGtSRJhRnUkiQVZlBLklSYQS1JUmEGtSRJhRnUkiQVZlBLklSYQS1JUmEGtSRJhRnUkiQVZlBLklSYQS1JUmEGtSRJhRnUkiQVZlBLklRY6aCOiNdHRPZNq7quS5KkUdmt6wK2w4+Ax/XMb+6qEEmSRm0cgnpzZl7bdRGSJHWh9KHv1r0j4pqIuCIiPh4RE9taOSIWRMSSmQlYPKI6JUkauupBfQlwAnAs8CLgUODrEbGt8D0FmO6Zrt7JNUqStNOUDurMPC8zP5mZl2Xm+cATgX2Ap2/jbacDe/dMB+/0QiVJ2knG4Rz172XmTRHxU+CwbayzCdg0Mx8RoyhNkqSdovQedb+IWATcC1jbdS2SJI1C6aCOiLdHxJERcUhEPBL4DHA78M8dlyZJ0khUP/R9ME0o3w34NfDvwMMz89edViVJ0oiUDurMfEbXNUiS1KXSh74lSZrvDGpJkgozqCVJKsygliSpMINakqTCDGpJkgozqCVJKsygliSpMINakqTCDGpJkgozqCVJKsygliSpMINakqTCDGpJkgozqCVJKsygliSpMINakqTCDGpJkgozqCVJKsygliSpMINakqTCDGpJkgozqCVJKsygliSpMINakqTCDGpJkgrbresCJElz2+TkZNclDGzp0qVMTEx0WoNBLUnaKTZO3wAEK1eu7LqUgS1cuCerVk12GtYGtSRpp7htw3ogWXH8yex36PKuy5m1dWtXc8k5pzE1NWVQS5LmrkX7T7DvxLKuyxhbDiaTJKkwg1qSpMIMakmSCjOoJUkqzKCWJKkwg1qSpMIMakmSCjOoJUkqzKCWJKkwg1qSpMIMakmSCjOoJUkqzKCWJKkwg1qSpMIMakmSCjOoJUkqzKCWJKkwg1qSpMIMakmSCjOoJUkqzKCWJKkwg1qSpMIMakmSCjOoJUkqzKCWJKkwg1qSpMIMakmSCjOoJUkqzKCWJKkwg1qSpMIMakmSCjOoJUkqzKCWJKkwg1qSpMIMakmSCjOoJUkqzKCWJKkwg1qSpMIMakmSCjOoJUkqzKCWJKkwg1qSpMIMakmSChuLoI6IEyNidUTcEhGXRMTDuq5JkqRRKB/UEfHXwBnAacCDgR8A50fE/p0WJknSCJQPauAk4H2Z+cHM/DHwQmAD8Nxuy5IkaecrHdQRsTtwOHDhTFtm/q6df0RXdUmSNCq7dV3AH7EU2BW4rq/9OmD5lt4QEQuABT1NiwHWrVu3w8XcfPPNANx41U/YvGnjDn/eqK1bexUA07/6GXfZLTquZnbGuXYY7/rHuXYY7/rHuXaYA/VfuwZofvcPI0P23nvvJcD6zMzZvC9muf5IRcTdgV8Bj8zMi3va3wYcmZlHbOE9rwdOHVmRkiRtv70zc1apX32Pegq4HTigr/0A4NqtvOd0msFnvfYFbhxuaTvdYuBq4GBgfce1DMtc69Nc6w/Yp3Ew1/oDc69P2+rPrPtXOqgz89aI+A5wNHAuQETs0s6ftZX3bAI29TXv+DGLEYv4/WGi9bP931dVc61Pc60/YJ/GwVzrD8y9Pg27P6WDunUG8OGI+DbwH8DLgb2AD3ZZlCRJo1A+qDPz/0bEfsAbgAOB7wPHZmb/ADNJkuac8kENkJlnsZVD3XPYJpqbvPQfxh9nc61Pc60/YJ/GwVzrD8y9Pg21P6VHfUuSNN+VvuGJJEnznUEtSVJhBrUkSYUZ1JIkFWZQdywiTomISyNifURcHxHnRsSyvnX2iIizI+KGiLg5Ij4VEf13ayshIl4UEZdFxLp2ujgintCzfGz6siUR8XcRkRFxZk/bWPUpIl7f9qF3WtWzfKz6MyMi7hERH2vr3hgRP4yIh/Qsj4h4Q0SsbZdfGBH37rLmbYmI1VvYThkRZ7fLx2o7RcSuEfHGiLiy/fv/RUS8NnruDjKG22hxRJwZEVe19X4zIh7as3wo/TGou3ckcDbwcOAY4C7ABRGxV8867wD+Avirdv27A58ecZ3b62rg72ieevYQ4CvAZyPi/u3ycerLHbT/AF8AXNa3aBz79CPgoJ7pUT3Lxq4/EXFX4BvAbcATgPsBrwR+07Paq4GX0jwq9wjgtzTPtt9jtNVut4dyx210TNv+yfZ13LbTycCLgJcA923nXw38bc8647aN3k+zXf4G+FPgAuDCiLhHu3w4/clMp0ITsB+QwKPb+b2BW4G/7FlnebvOw7uudzv7dCPwvHHuC7AI+CnwOOAi4Mxx3T7A64Hvb2XZ2PWnrfEtwNe3sTyAtcCr+vp6C/CMruvfzj6eCfy87cvYbSfgC8AH+to+BXxsHLcRsBDYDPx5X/t3gDcNsz/uUdezd/s68xCRw2n2snufyb0KWEPxZ3K3h7qeQXPL14sZ477QHPX418y8sK99XPt074i4JiKuiIiPR8RE2z6u/XkS8O2I+GR7Cul7EfH8nuWH0tzZsLdf08Al1O4XABGxO7ASOCeb3/jjuJ2+CRwdEfcBiIgH0RzJOa9dPm7baDeaxzDf0te+kaZfQ+vPWNyZbL6I5oEjZwLfyMzL2+YDgVsz86a+1a9rl5UTEX9KE8x7ADcDT83MH0fECsasLwDtfzYeTHMost/YbR+aXxQnAD+hOaR6KvD1iHgA49kfgD+hOax6BvBmmm31roi4NTM/zB9q39Kz7Sv3a8ZTgH2AD7Xz47id3gIsAVZFxO00IfcPmfnxdvlYbaPMXB8RFwOvjYhJmjqfSRPCP2eI/TGoazkbeAB3PF84jn4CrKA5OvCXNA9VObLTigYUEfcE3gkck5n9/3MeS5l5Xs/sZRFxCXAV8HSavYFxtAvw7cz8+3b+e+1/PF4IfLi7sobmecB5mXlN14XsgKcDzwKOpxkjsQI4MyKuaf8zNY7+BjgH+BXNI5m/C/wzzRGPofHQdxERcRZwHPCYzLy6Z9G1wO4RsU/fW7b1TO5OZeatmfnzzPxOZp4C/AB4GWPYF5p/cPsD342IzRGxmWbgzkvbP1/H+PXpDtq9sp8ChzGe2wiac4E/7mubBGYO6c/UPptn25cQEf+JZmzE+3uax3E7/S/gLZn5icz8YWZ+lGZA3Cnt8rHbRpn5i8w8kmYMyz0z82E0pySuYIj9Mag71g7fPwt4KvDYzLyyb5Xv0IxkPbrnPctofgFdPLJCd8wuwALGsy9fphnNuaJn+jbw8Z4/j1uf7iAiFgH3ogm7cdxG0Iz4XtbXdh+aIwUAV9L8cuzt1xKakbiV+wXwHOB64F972sZxO+0J/K6v7Xb+kENju40y87eZuba9+uDxwGcZZn+6Hjk33yfgfwM30eylHdgzLexZ5z00v3AeQ7OH903gm13XvpX+nA48GjiEJuBOp/nHecy49WUbfbyIdtT3OPYJeHv783YI8EjgS8Cvgf3GsT9tzQ+lCa6/pzkycDzNpTDP6lnnZJrLtZ7U/myeS7Pns0fX9W+jX7u02+ItW1g2VtuJ5vz61cCftz97T21/7t46rtuIJpSPpRk4dgzNY5i/BdxlmP3pvKPzfaK5nGJL0wk96+xBc/76xvaXz6eBA7uufSv9+QCwmubxbtfTjHg8Zhz7so0+9gf1WPUJ+ARwTbuNrm7n7zWu/emp+zjghzSjcCeB5/ctD5rn2l/brnMhcJ+u6/4jffqv7e+DO9U5btsJWEwzWPYqmrEQv6C5jGn3cd1GNOfdf9H+W1pL8zjmvYfdHx9zKUlSYZ6jliSpMINakqTCDGpJkgozqCVJKsygliSpMINakqTCDGpJkgozqCXtkIg4KiJyC/edljQEBrWk7RYRF0XEmX3N36R5XOb06CuS5j6DWponImL3nfG52Twt7dr0NofSTmFQS2Oq3bs9q52mI2IqIt4YEdEuXx0Rr42Ij0TEOuC9bfujIuLrEbExIn4ZEe+KiL16PvfFEfGziLglIq6LiH9p2z9E8zCPl7WHujMiDtnSoe+IeH772Rsi4jMRcVJE3NRX/5Mj4rvt91wREadGxG47++9NGjcGtTTeng1sBh5G88zvk4D/3rP8VTTPA//PwBsj4l7AF4FPAQ8E/hp4FM3DBIiIhwDvAl5H89jIY4GvtZ/1MprH872P5lD3QcAv+wuKiP8C/CPwTppHgX4J+Ie+df4M+Ei7zv2AFwAn9K8nCR/KIY2riLgI2B+4/8xh54h4C/CkzLxfRKwGvpeZT+15z/uB2zPzBT1tjwL+H7AX8ETgg8DBmbl+K9/5/cx8eU/bUcBXgbtm5k0R8QlgUWYe17POx4DjMnOfdv5C4MuZeXrPOiuBt2Xm3Qf/W5HmHveopfH2rb5zwxcD946IXdv5b/et/yDghIi4eWYCzqf5XXAozd7vVcAVEfHRiHhWROw5y5qWAf/R19Y//yDgdX11vA84aIDvk+Y0zwdJc9tv++YXAf9Ec3i735rMvDUiHgwcRfMs5DcAr4+Ih2bmTUOsaxFwKs0zlPvdMsTvkcaeQS2NtyP65h8O/Cwzb2/HlPX7LnC/zPz51j4wMzfTPOD+wog4DbgJeCxNqN4K7Lq197Z+Ajy0r61//rvAsm3VIalhUEvjbSIizqDZS34w8LfAK7ex/luBb0XEWcD7afa47wcck5kviYjjgD+hGUD2G5pz1rvQhC/AauCIiDgEuBm4cQvf8W7gaxFxEvB5mpB/AtB7iP4NwBciYg3wL8DvaA6HPyAzXzObvwBprvMctTTePgIspDkHfDbNKOr3bm3lzLyM5hKr+wBfB75HE5rXtKvcBDwN+AowCbwQeGZm/qhd/nbgduDHwK+BiS18xzfa951EM+L8WOAd9BzSzszzgeNoDq9fCnwLeAXN+XFJPRz1LY2pLY3Arioi3gcsz8w/67oWadx46FvS0EXEq2hGkP+W5rD3s4EXd1qUNKYMakk7w8OAVwOLgSuAl2bm+7stSRpPHvqWJKkwB5NJklSYQS1JUmEGtSRJhRnUkiQVZlBLklSYQS1JUmEGtSRJhRnUkiQVZlBLklTY/wdpaodrJ0U17AAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.displot(df['prestige'], kind='hist');" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Probplot against normal distribution')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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px1qN0RhjTMzy82H+fHjmGfc7Pz+Ckz7+GHr3hsMPh7//3QXFjh1hwgRYuZIPLv1riUERQBVWroQFC+L1KA5kg2+MMcbEZM4cGDkSVvlWo27TBnJzoUePkIP373f9h9nZsHBhUXrXrhAIwGWXQZqrq61ZE9n1Iz0uWhYYjTHGRG3OHNfXF9obF+wDnD3bC45bt8LUqTB6NCxf7g6qVQtuuAEyM+H444vlffDBkZUh0uOiZX2MxhhjopKfD+3aHVhT9BOBM1otY8G1o0l7fCps89btPugguOMOGDIEWrUqM//Vq4sH3mD+1sdojDEmZSxYUFJQVM5gIc9pLz5YcyRpo3NcUOzUCSZPdoNtHnyw1KAILtjl5rq/RQ68L3g7JyfyoBgtC4zGGGOiGkQT2rdXg31czyz+zeks5Cx68QLpFLDmNxfDG2/AN9/AgAFQt27E5enRwzXHtg4Zg9Omja+ZNkGsj9EYY6q5qAbRUNS3l8GvDGAKwxnDoawEYDe1eYqbyCGTsaM7c3CX2MvVowd06+ZqqGvWuOuec07iaopB1sdojDHVWEmDaIJNluFqZ/nf/8iMk3K5bvs0GrADgHW0YBxDmchgNkqLqPsAEy2aPkYLjMYYU01FMoimMMClqau6ZWXByy8XRtKv6UwWo3iGPuyhTqkBNZmiCYzWlGqMMdVUyYNoHFVYu3Iv39/7HJ3ezIbPPy+68/LLWXBygBumdmXV6qIRMm3auIExqRQUo5XUwCgi6cD9wE1AK+AXYDrwF/WqsiIiwAPAAKAx8C/gDlVdWvElNsaYqqO0CfJN2MwgJjGMsbT+6y8usW5d6NvXdUh26sQ5wPJ7K74PMNGSXWP8A3AHcAvwDXAy8DiQB4z2jrkLGOEdswx4CHhLRI5R1d0VXmJjjKkiwk2Q78h/ySSHW5hBPXYBsKfZwdQeNQwGDYJmzQ44Pj0dunSpgMJWoGQHxjOBuar6mnd7uYj0AU6FwtpiJq4GOddL6wusA64BZlV0gY0xpjLJzy+5RnfOOa7pc/Uq5XzeI0A2V/Ja4blfcAIzmo7iHyuvh7q1kvQIKl6y5zEuBLqKSEcAETkeOBt4w7u/Pa6J9d3gCaqaB3wEnBEuQxGpLSKNgj9AwwSW3xhjkqq0+Ydz5rjBNeef71ZgO/98DtjPMH3/Hl7sNp0vOIF5XMiVvEYBwlyu5nze5yQ+59wpN5NejYIiJL/G+CjQCPhORPKBdOAeVZ3p3R9cHmFdyHnrfPeFuhu4L94FNcaYVFPa/EMoeS3TwT03cHTviRzz/jhOXuc+XndKPaZpf0YzgqV0pG1bmJ1TuQfRxCrZgfE64EbgBlwf4wlAjoj8oqozYszzESDLd7shUMq4K2OMqXxKW8S7Z0/XFRh6Xye+JVNzuJknqTvLG6LRujUMH07tWwfQ+ZumPFCFBtHEKtmB8W/Ao6oa7Cv8WkQOw9X6ZgBrvfSWgH/8VEvgy3AZquoeYE/wtoQutGeMMZVcfr6rKYabhh5M27SpMIWLeIcA2VzGm4XHfcLJ1L8nwDH3XQs1a5JO1RtEE6tk9zHWAwpC0vIpKtcyXHDsGrzT6zc8DVhUEQU0xphUU9b8Q4Da7OY2HuNrfsPbXMJlvEkBwhy6czYLOJWP+erYG6BmzYopdCWS7BrjK8A9IrIC15T6W2AUMA1AVVVEcoA/ichSiqZr/AK8lIwCG2NMRQsdWbp6dcnHtmAdQxjPHUygBRsA2EYDpnEroxnBTxxReGyi9jOs7JIdGIfjAt14oAUu4E0CHvQd839AfWAyboL/h8ClNofRGFMdhBtgc9BBxY/rzNcEyOZGZlKbvQD8zKGMZgRTuY08GhceG1zq7ZxzElz4SsrWSjXGmBRV0gCbIKGAS3mTANlcVDSrjUWczmMNAjyxvQf5UuOA81N1LdNEs7VSjTEmxZU08T6Yvno1BALhg2JddnIzT5JJDp34zuVHGi/QkxwC/FvOYPYMuILw0zkq+1qmiWaB0Rhj4ixc0IOitKVLYcqU4gGrTx83Ub+kgTWtWMNQxjGYiRyEG3a6VRoxRW9nDMP5mXbF5h8mYz/Dyi7qplQRaYsbF7PKu30qbh7it6o6Of5FLB9rSjXGJJo/EIYLesHlRYumUETneL4kQDZ9eIZa7APgJ9qTy0jOnNyflh0aWeArQ6KbUp/GDYR5UkRaAe/gRpTeKCKtVPXBUs82xpgqJNzgmFCxBEShgCt4jQDZXMD7hekfchZZjGIu3Sggne4dbP5hvMUSGDsDH3t/XwcsVtWzRORiYCIHjig1xpgqq6zBMbGoxw76MZ2R5NIRt7veftJ5juvIJsCnnAK4QTRtbWRpQsQSGGtStLLMhcDL3t/fATYrxhhTLZS2+kwsWrOKYYxlIJNpyhYAttCYyQxkLMNYRdvCY4MjS3NyrNk0EWIJjN8Ag0XkNeAi4M9e+iFAjC3oxhhTuUSy+kwkTuJTAmRzHc9Rk/0ALOVIcshkBrewgwbFzrGRpYkVS2D8A/AicCcwQ1W/8tKvpqiJ1RhjqrTSVp8pSxr5XM3LjCKLc/iwMH0+55HFKF7jCgo4sCrYvDlkZ7s1v22ATWJFHRhVdb6IHAQ0UtUtvrsmAzvjVjJjjEkC/wjTFi1c2vr1B/69dCmMGRN93g3Yxq1MYwSjOYKfANhHDZ6hDzlk8gUnFjsn2Gw6caLVECtKrPMYBThJRI4AnlbVbcBeLDAaYyqhYDCcOxdmzoQNG+Kbf1tWMJwxDGAKjckDYBNNmchgxjGUNRxC27ZwZ+/i8xit2bTixTKP8TDgTeBQoDbQUVV/EpFcoLaqDo5/MWNn8xiNMaWJZLpFrE7lI0aRRU9eoAb5AHzHUeSQybxD+nLzoHp06BB+5RublxhfiZ7HmAt8ChzPgYNtXgSmxJCfMcZUuPx8ePhhuO+++Oabzn76NnyJBxpn0XZl0e54ekFXvr4wwDeHXkbv1mmMKyHgpafbvMRkiyUwngOcqap7QzYBXg60jkehjDEmEfxNpk89BRs3xi/vhmzldh5jBKNpt+1n2AbUqgU33ACZmcjxx3MccFz8LmkSJJbAmAaEq9i3wb0VjDEm6fyLcW/YAMuXw9NPx7//sB3LGMFobmMqjbyPwL0ZB1Fr5BC44w5o1Sq+FzQJF0tgfBvIBAZ6t1VEGgAPAK/HqVzGGBOzRPYbOsqZLGQUWVzDS6RTAMA3HMOMJgEeWXEjNKibqIubBIslMP4OeEtEvgXq4NZO7QBsBPrEsWzGGBO1RCzTFlSDffRiNgGyOZVPCtPf5BJyCPA2FzP7MSG9+Jx8U4nEMo9xlYgcD/TGNZc3AKYCM1V1V5zLZ4wxEdu7FwYPjn9QbMwWBjCF4YyhLa4aupvaPMVN5JDJN3Qutt2TqbximseoqvuBp+JcFmOMidmcOTBoUHwH1BzBD4wkl/48TgN2ALCOFoxjKC8fPJgeg1twTwebVlHVRB0YRaRvafer6hOxF8cYY6I3ezZce228clOuzviAvzTLovOyVxCv+rmt/W9Y2TPA1537cMFhdbjPAmGVFcsE/y0hSTWBengr36hq0ziVLS5sgr8xVdvzz0OfPm4UannUZC/X8yz/e3AOh6z5vOiOyy+HUaPggguK1mczlU5CJ/irapPQNBHpAEwA/hZtfsYYE4t4TdBvyiYGMYmRaWNpWbAG1gB160LfvpCZCUcfHY/imkok1rVSD6CqS0Xkf3D9jvYuMsYkTDAg5uTAltD2qyh05L/cXSeHG/bPoNb+XVCA6ywcNsx1VjZrFq8im0omLoHRsx+3J6MxxiTEnDkwcCBsinnnV6VHxns82DSbY5e9Bru95N/+FgIBuP56t1qNqdZiGXxzdWgScDAwDPhXPApljDGh5syBnj1jO7d5oz28eP0zHD8vmwY//QfycP2FV13lAuJ551n/oSkUS43xpZDbCmwA3sNN/jfGmLjKz3cr2UTrIDYwmInckzaOOlPWucR69aB/f5dhhw7xLaipEmIZfJOWiIIYY0w4+flw++3RLe/WiW/JJIebeZK67IZfgdatYcQIGDAAmhQbQ2hMoaQHORFpLSJPicgmEdklIl+LyMm++0VEHhSRNd7973qjYI0xVdycOdCyJUyfHsnRysW8xRtcyrccy0CmuKB48slu9fBly+CuuywomjJFVGMUkaxIM1TVUZEeKyJNcP2S7wOX4ZpkOwD+sWZ3ASOAW4BlwEO4tVqPUdXdGGOqnGimYtRhFzcykwDZHMu37nzSWHvaNbT+ewDOOsv6D01UIm1K/W2Ex0W7QuEfgJWq2t+Xtiz4h7gNHzOBv6jqXC+tL7AOuAaYFZqhiNQGavuSGkZZJmNMkkQzFaMF6xjCeIYwnua4deC20YBvTr+NU54YQesOhye+wKZKiigwqur5Cbr+1bja3/PAecBqYLyqTvHubw+0At71lSVPRD4CziBMYATuBuK8J7cxJpGCAfFvf4Pt20s/tjNfEyCbG5lJbfYC8DOHMrXeCE6eeDtX35xRASU2VVk85zHG4nDgDiAL+CtwCjBaRPaq6gxcUARXQ/Rb57sv1CNefkENgYTtymaMiZ5/E+F589yybqUFRKGAS3mTUWRxIfMK0xdyBtkEaNS3O5On1bC1S01cxBQYvcEx1wGHAgfMhlXVaDZdSQM+VdU/ere/EJHOwGBgRixlU9U9wB5fWWPJxhiTINFsIlyXndzMk2SSQye+A1z/4Wx6kU2AjzidNm1g+TRb0NvETywT/HsDTwBvARcDbwMdgZbAi1Fmtwa83vIiS4DgNN613u+W3rH4bn8Z5bWMMUkW6SbCrVjDUMZxBxNoxmYA8mjEFAYwhuGs4DDAjanJzbWgaOIrlhrjH4GAqo4TkW3ASNyAmUkcGLwi8S/gqJC0jsDP3t/LcMGxK14g9HbLOA23aLkxppIITtIvLSiewBcEyKY3s6jFPgB+oj25jGQat7LdN5auWTOYPNk2BjbxF0tgPAJ4zft7L1BfVVVEsnGr30Qz8CUbWCgifwSeA04FBno/ePnmAH8SkaUUTdf4heIr8BhjUlRpk/SFAq7kVUaRRRf+WZi+gLPJJsBculFAUZWwaVMXYO+5x2qKJjFiCYxbKJoCsRroDHwNNMbtyxgxVf1ERLrjBszciwt8mao603fY/wH1gcneNT4ELrU5jMakvtJGm9ZjB/2Yzkhy6chSAPZRg+e5lmwCfMopxfJ74AELiCbxYgmMHwAX4YLh80CuiFzgpc0r7cRwVPVV4NVS7ldc0Lw3hrIaY5KgtIDYmlUMYyyDmEQTfgVgC42ZxCDGMozVtCmWnzWbmooUcWAUkc6quhi3i0YdL/lhYB9wJvAC8Je4l9AYU6mUtDXUyXxCgGyu5Xlqsh+ApRxJDpnM4BZ20KBYXg0awJ13Wi3RVKxoaoz/EZFPgMfwJtaragHwaCIKZoypfEK3hkojn27MZRRZnO3blW4+5/EPfsdrXIGGWbLZAqJJJtGyxk0HDxQ5B+gP9MLNP3wBeExVFySueOXnjWLNy8vLo1GjRskujjFVVn4+tGvnBtg0ZCu3MZURjKY9ywHYS01m0ZtsAnxZwiqTNrDGJMrWrVvJyMgAyFDVraUdG3GN0QuAC0RkOG5yfz/gnyLyAzAVmKGqa0vJwhhThS1YAGmrfubvjOZ2HiMD99mziaZMZDDjGMoaDgl7btOm8Nxz0KWLBUSTfBHXGMOeLHIkrhZ5M26JtjdV9eo4lS0urMZoTHz5l3PbsMENjKn12SIOnpXNWeteIJ0CAL7jKHLI5An6squUAesiMHu2DawxiZWQGmM4qvqDiPwVNyH/EeCK8uRnjEk9oeuazp0LmzdDOvvpwRwCZHMG/y48/l26ksUo3uTSsP2Hfjba1KSimAOjiJwL3Ipbvq0AN0F/apzKZYxJAeHWNW1EHqN4jBGM5jBWALCHWszkRnLI5GuOKzNfG1xjUllUgVFEDsH1LfYDjgQW4jYRfk5Vd8S7cMaY5Ald17Q9PzGC0dzGVBriJieupzkTuIPxDGE9LcvM0wKiqQyimcf4BnAhsBG3iPg0Vf1vogpmjEmevXuhf39QVc7iX4wii27MLew//IZjyGIUM7mRPYXTmkvXsyc8+6wFRJP6oqkx7sNN1XhVVfMTVB5jTJLNmQMD+u3jim3PEyCbU/i08L43uYRsArzNxUB0W7oNG2ZB0VQO0UzXSKnRpsaY+Js7fQsf9Z/MV4yhDasB2E1tnuRmcsjkW46NKd/mzeGcc+JZUmMSp1yjUo0xlV9+Pnz01FLyHszlwp8epxs7AVhLS8YzhAncwUaal+sa48dbbdFUHhYYjamuVPngwfnsfDibi/e9ShpulM1XHEc2AZ6hD3upXe7L3HmnG8RjTGVhgdGY6mbvXnj2Wbbcm8W5y78sTH6VK8gmwHtcQLT9h+E0bw7jxsG115Y7K2MqlAVGY6qLTZtg0iQYOxbWrKEJsJO6zOAWcsjke46KKrsmTaBbN7jgApd1s2bud/Pm0Lq161O05lNTGUUUGEUk4oE3qvpy7MUxxsTdf/8LOTkwYwbs2gXALxzMGIYzmYFsplnUWdqGwaYqi7TG+FLIbeXAthb/gqv2r2JMsqm69duys+H11wuTtx75W+5aM4ppO65jH7WiztaWcDPVQekLGXpUNS34A1wMfAlcBjT2fi4HPgcuTUgpjTGR2bMHHn8cjj8eLrrIBUURVp/SjW4Z88n44TMm7bgp6qAoAvffD+vWWVA0VV8sfYw5wGBV/dCX9paI7AQmA53iUTBjTBQ2bIAJE9y8iHXrXFr9+hT0609g2UhGv35kubJ/9lkbRGOqj1gC4xHAr2HS84B25SmMMSZK33zj+g+ffNLVFoHdzduwpOtwpqYNYPr0JuwoxyrG1nRqqqNYAuMnQJaI3Kyq6wBEpCXwN+DjeBbOGBOGKrz1lus/fPvtwuSfW57Cg1sDPLGhF/tn1SzXJWyxb1OdxRIYbwVeBFaIyEovrS2wFLgmTuUyxoTI376LH+5/ilbPZJPxyxIACiSN12pcw6P7RrFw3ZnEY/7hfffBn/9sAdFUX1EHRm9z4uOAi4CjveQlwLuqqiWfaYyJydq1fDtsPC3mTOAo3QjANhrwGLczWkewfF/7uF3qgQfg3nvjlp0xlZKUJ5aJSB1gTyoHRBFpBOTl5eXRqFGjZBfHmMj95z+Qnc3+J5+mRv5eAJZzGKMZwVRuYysZcb1cmzawfLnVFE3VtHXrVjIyMgAyVHVracdGXWMUkTTgHmAw0BLoCPwkIg8By1V1avRFNsYAUFAAb7zh+g/nzQPcP+kiTieLUbxId/ITsGCVCOTmWlA0BiKcxxjiT0A/4C5gry99MXB7rAURkf8RERWRHF9aHREZJyKbRGS7iLzgDfQxpmrZuRMmToRjjoErr4R58yhIS+c5ruN0FnEmi5jNtQkJim3bwuzZNvLUmKBY/sv6AgNVdZ6ITPSlf0VRn2NUROQUYBDwn5C7soErgGtx00HGAnOAs2K5jjEp55dfYOxYdNIkZPNmAPbUacSHnQZw6xfDWcFhCblsvXpw++3QvbutaWpMqFgCY2vghzDpaUDUY8RFpAEwExiAq40G0zOA24AbVPU9L60/sERETlfVf8dQdmNSw+efU5CVDbNmkZa/HwF+oj25jGTa7lvZ/kXDhFzWpmEYU7ZYAuO3wDnAzyHpvYAvYshvHPCaqr4rIn/ypZ+EC7TvBhNU9TsRWQGcAYQNjCJSGw7YRC4xnzDGRCs/H155xfUffvBBYT/GAs4mi1G8zNUUJGip4aZNYeRIC4jGRCKWwPggMENEWuNqiT1E5ChcE+uV0WQkIr2BE4FTwtzdCtirqr+GpK/z7ivJ3cB90ZTDmITavh0efxzNzUV+/BGAfdTgOa4jmwCfcXJCLpuRAbfcYs2lxkQrlnmMc0XkKuBeYAcuUH4OXKWq70Saj4i0BXKBi1R1d7TlKMUjQJbvdkNgVRzzNyYyK1fCmDFuTbW8PATYTBMmM5CxDGM1beJ6ueD+iBdeaPshGlMeUQVGEakB/BGYpqoXlfPaJwEtgM9FClfrSAfOFZFhwCVALRFpHFJrbAmsLSlTVd0D7PGVuZzFNKZ0+fmwYAGsXu3W8u7468cc8XI2Hb56nrSCfAC+pwO5jGQ6/dhJ/XJfUwSGDIEjj7SNgY2Jt6gCo6ruF5G7gCficO15wG9C0h4HvgP+F1gJ7AO6Ai8AeE22hwKL4nB9Y2LiD4Tz5sHcuZC3eT/X8BIBsjmLhYXHvsf55JDJq1yJxjQ7Kjzb7cKYxImlj3EecB6wvDwXVtVtuLmPhURkB7BJVRd7t6fiFizfDGwFxgCLbESqqQihNcFmzeD9910g9GZW0JCt3Mo0RpJLe+9fYi81eYY+ZBPgK06Ia5nS02HWLOjVK67ZGmN8YgmMbwCPishvgM9w/YyFVPXleBTMEwAKcDXG2sBbwJA45m/MAYLBcO5cmDnTBcRwDuVnRjCaAUyhEdsA2EgzJjKYcQxlLQcnpHzPPGNB0ZhEi3qtVBEpKOVuVdWU6uWwtVJNpObMcVMaVpUyVOt0FhEgm568QDruX2EJR5NNgKe4iV3US0jZ2rZ12y7a6jTGxCaha6Wqavw6SoxJEbNnl9xnl85+evICAbI5nY8K09/hQrIYxVtcEtf+w4wMuPlmOOIIG1hjTDKUa+FFEakT56kWxlSo/Hx46CF48MHi92XwK7fzGMMZw2GsAGAPtXiKm8ghk8XFxo6Vz4gRNufQmFQQy+4a6bgpG4OBliLSUVVtdw1T6cyZAwMHwqZNB6a35ydGksttTKWB14W+nuZM4A7GM4T1xHcde2smNSa1xFJjvAe4Bbe7xhRf+mIgE7DAaFLenDnQs6c/RTmbDwmQzTW8RBqu730xx5JNgJncyB7qxLUMVkM0JjWlxO4axlSk/Hw3yAagBvu4lucZRRYn81nhMW9yCf/gd7zLhUB8F4mwGqIxqS3pu2sYU9Hmz4ftq7ZwF5MZzhjasBqAXdThSW4mh0yWcEzU+QaXZLvgAtc826zZgb9tII0xlUMq7K5hTIXIz4cJge+pNSGXVUynPjsBWEtLxjGUiQxmI80jzs/WJjWmakrq7hrGJEJwkv6aNdCiBaDKdxPn035uNkP2v1rYf/glx5NNgFn0Zu8BO5UVSUuDoUPh8MOt5mdMdZG03TWMibf8fHj4YcjNdUu21WQvvZlFgGyG8mXhca9yBf/gd8ynC2X1H86aZWuSGlPdxDSPUVUXAOXdXcOYuPFPvWjGRv7IJIYyjkNYA8BO6jKdfuQyku85qsz8mjVzu0XZABljqp9yTfA3JtmCtcT77oOjWcLD5NCXJ6iLW3diNYcwlmFMZiCbaVZmfg0awJ132k73xlRnEQVGEdkCRLSoqqo2LVeJjCmDf6Hvp55Ujt80j9fI4nLeKDzmM04kmwDPcR37qBVx3i+9BF27JqDQxphKI9IaY6bv72bAn3A7XQT3RTwDt7HwQ3ErmTFhBBf63rBqNzfwNPPI4Ti+BqAA4WWuJotRLOAcop1/2LYtdOkS/zIbYyqXiAKjqs4I/i0iLwD3qupY3yGjRWQYcCGQHd8imuqi2GhSYP16OPhgOPNMePRRGHvfeu5gAkMYT0vWA7Cd+kzjVkYzgh85MqZri7hJ99Z8aoyJpY/xEuAPYdLfBB4tX3FMdeIPhEuXwpQpJW/59BtZzAjNYQVPUYc9AKykDaMZwRQGkEfjmMthA22MMX6xBMZNQDfgHyHp3bz7jAEODHzBWt/ChZEFQke5hLcIkM0l+nZh6kecSjYBXqAn+8ux2FLTpq5Z1gbaGGP8YgmM9wGPiUgXKNyc7jTgUmBAfIplKrtwm/6mp7tgWZY67OImniJANsewBIB80niR7mQxikWcQazrlzZvDjfe6FassQn6xphwYpngP11ElgAjgGDj0xLgbFX9qOQzTXUxZw706gUaMo65rKDYkrUMZRyDmUhzNgKwlYY8xu2MYTjLaR9VOZo2heHDXQAM9lVaMDTGlCWqwCgiNYFJwEOqemNiimQqs+DOFaFBsTTH8RUBsunDM9RmLwDLOYxcRjKV29hGo6jL8cAD1kRqjIlNVIFRVfeJSE9sWka1Ftp3eM45Ln3BApg3r6x+Q0co4HJeJ0A2XXmvMH0hZ5BNgBfpTn4MLf22pZMxprxi6WN8CbgGm5ZRLYXrO2zmLSizKYKhV/XYQV+eIJMcjuJ7APaTzmx6kU2Ajzkt6jIddBDcdJP1Gxpj4iOWwLgUuFdEzgI+wy0kXkhVR8ejYCb1lNR3GElAPITVDGUcg5hEMzYD8CsZTGEAYxjOSg6NqUzWZGqMibdYAuNtwK/ASd6PnwIWGKuI0An30fYdAvyWzwmQTW9mUZP9APzI4eSQyXT6sZ2GEeUTOqLVmkyNMYkSy6jU6IYGmpQWrr8wPT18k2mk0sjnKl4hQDbn8UFh+j85l2wCvMJVFFC8itemDQwYAB06hF/5JjgH0kaXGmMSKebdNUTkIABV3Ri/4phIlRTQojkuXPBr0wb69IG//z362mF9ttOfxxlJLkfyIwD7qMGzXE82Ab5KP+mAWp8/EEYS7GwdU2NMRRCN4tNPRBoDDwPXA0285C3ALOBPqvprnMtXbiLSCMjLy8ujUaPoh/2nopICWm7ugU2LpR0H4fsLY9GGlQxnDAOZTGPyANhMEyYxiLEM49Y/taZrV6v1GWOSZ+vWrWRkZABkqOrW0o6NODCKSFPcbhqtgZngLUkCxwA3ACuBM1V1S6QFFZG7cYsEHA3sAhYCf1DV//qOqYNbfq43UBu3q8cQVV0X4TWqVGAsaQCMeAvBzJ7tgmNpx6m6kaSRDJopzSl8TIBsruV5auCqgt/TgRwymcEt7JL6tGkDy5ZZADTGJFeiAmMO0BW4MDQoiUgr4G1gnqoGIi2oiLyJq21+gmvW/SvQGThGVXd4x0wArgD6AXnAWKBAVc+K8BpVJjDm50O7diX3+4m4GuEPP8ARR8TWP1iWNPK5hpcYRRZnsbAw/T3OJ5sAr3EFSlqxQG2MMckUTWCMpo/xGmBQuJqaqq4VkbuAiUDEgVFVL/XfFpF+wHrcaNcPRCQDNwr2BlV9zzumP7BERE5X1X9HUf5Kb8GC0oOdKqxcCePHxz8oNmQrtzKNkeTSnuUA7KUmz9CHxzMCLK5xwgE10DZtbNSoMaZyiiYwHgx8U8r9i4FW5SsOGd7vzd7vk4CawLvBA1T1OxFZgdscuVhgFJHauCbXoMjmA1QCa9ZEdtyPP8bvmoexnOGMYQBTaMQ2ADanNSOv92C+PGsohx1zMPN8K99Y/6ExprKLJjBuBNoBJdVF2lMU0KImImlADvAvVV3sJbcC9oYZ1LOOkoPw3bgdQCqFSEeXgrs/EkccUf5ync4iRpFFD+aQTgEA39KJXDK5/Kmb6NanXrElvW3UqDGmKkiL4ti3gIdFpFboHV4t7SHcZsWxGofrX+xdjjwAHsHVPIM/bcqZX8LMmeP6DM8/H264wf1u186lh3POOa6JUkrYcUnETXwfMqTs45o1c7/9x6Szn+t5lkWcziLO5Fpmk04Bb3MRl/IGl7VZzCUvDKRbn3rledjGGJPSoqkx3gt8CiwVkXHAd7hN8ToBQ3DNlzfHUggRGQtcCZyrqv4a6Vqglog0Dqk1tvTuK0ZV94C3xbvLO5YiJVxJo0ZXr3bp4QatpKe7qRa9ehWNLg0KPsycHKhVq+zjJk92v0eOhG2rfuV2HmMEozmUle6O2rUpuPEmPjs7k011OvM/1jxqjKkuVDXiH1xz6RtAPlDg/eTjaopHRpOXl5/gRpmuBjqEuT8D2Av09KUdhVt67vQIr9EI0Ly8PE0V+/ertmmj6kJW8R8R1bZt3XHhvPBC8fPbtnXpUR33ww+aP2y47q9Tv/CAghYtVO+/X3XduoQ+B8YYU5Hy8vLUix2NtIy4EdUE/yARaQJ08G7+oKox9S2KyHjcHMhuwH99d+Wp6i7vmAnA5bjpGluBMQCqemaE1yj3dI1o+gEjMX++azYty/vvl9xvF/PKN2cr6QsXQHY2zJ1bVJ3s3BkCAdemW6dOrA/NGGNSUqKmaxRSN4n/41jODXGH93t+SHp/YLr3dwBXM30B3wT/OFw7IpGuMhONSEeXlnZcenpkg10Kj9u7F55/Hk7Lgs8/Lzrgsstg1Cjo2rXkTkljjKlGYl4rNR5UtcxPYlXdDQz1fipULP2AkYh0dGmkx5Vq82bXoThmDPzyi0urUwf69oXMTOjUKQ4XMcaYqiOmptTKJNam1EhXmYllubNg3qtXh1+rtDx5F/r+ezcSZ8YM2LnTpbVqBcOGwaBBbndfY4ypJqJpSo1muka1EukqMwsWRJ93cHQpFG+99I8ujTooqrqOyauugqOOggkTXFA8/niYPh2WL3e7+lpQNMaYEllgLEE8+gFL06OHa4pt3frA9DZtYmii3bPH1Qx/+1u44AJ49VWXftVV8N578MUXcMstULt26fkYY4xJbh9jKquIfsAePaBbt3KMeN24ESZOhHHjYK03rbNePejXz40Y6tgx9sIZY0w1ZX2MJaiQfsBYLVni2lqfeAJ273ZprVvD8OFu59+mTSu4QMYYk9oSPl2jOoh0lZkKC4qq8O67bv7hG28UpZ90kptuce21ULNmBRXGGGOqLutjLEVc+wFjtXs3TJsGxx0HF1/sgqIIdO/u2mA/+cRNyregaIwxcWFNqRGI98o3EVm/3o0qHT/e/Q3QoAHceiuMGBGfLTSMMaaasKbUOIt0lZm4WLzYNZfOnOlGmwIceqgLhrfdBo0bV1BBjDGmerLAmApU4a23ICsL3nmnKP2001z/YY8eUMNeKmOMqQj2aZtMu3bBk0+6UTxLlri0tDTo2dMt6H3GGUktnjHGVEcWGJNh7Vo393DiRDcXEaBhQzfVYvhwN0/EGGNMUlhgrEhffun6D595Bvbtc2nt2rnJ+LfeCjEODjLGGBM/FhgTraAAXnvNBcT33y9KP+ss11x6zTVJWCHAGGNMSSwwJsqOHW790txct9MFuAB47bUuIJ56anLLZ4wxJiwLjPG2ejWMHQuTJsGWLS4tIwMGDnT9h23bJrd8xhhjSmWBMV4++8w1lz77LOzf79KOOMJtBtyvn5ucb4wxJuVZYCyP/Hx45RUXED/4oCj9vPNcc+mVV1r/oTHGVDIWGGOxbRs8/jiMHg0//ujSatSA3r1dQDzxxOSWzxhjTMwsMEZjxQoYMwamTIG8PJfWtCkMGgRDhxZfbdwYY0ylY4ExEh9/7JZrmz3bNZ+C2wQ4EIC+fd3mwMYYY6oEC4yRmDjRDaoB6NrVBcTLLnPLtxljjKlSLDBGIhBwC31nZsLxxye7NMYYYxLI9mM0xhhT5UWzH6O1BRpjjDE+lSIwishQEVkuIrtF5CMRsfXUjDHGJETKB0YRuR7IAh4ATgS+At4SkRZJLZgxxpgqKeUDIzAKmKKqj6vqt8BgYCdwa3KLZYwxpipK6VGpIlILOAl4JJimqgUi8i4Qdnt7EakN1PYlNQTX8WqMMaZ6iiYGpHRgBA4C0oF1IenrgKNLOOdu4L7QxLa2q4UxxhhXWSo1SqZ6YIzFI7g+Sb+mwOYklCXeGgKrgDbAtiSXJdXYc1M6e35KZs9Nyarac9MQ+KWsg1I9MG4E8oGWIektgbXhTlDVPcCekOQq0Y4qIsE/t5U1D6e6seemdPb8lMyem5JVwecmoseQ0oNvVHUv8BnQNZgmImne7UXJKpcxxpiqK9VrjOCaRWeIyKfAx0AmUB94PJmFMsYYUzWlfGBU1WdFpDnwINAK+BK4VFVDB+RUB3tw8zlDm4qNPTdlseenZPbclKxaPjdVfq1UY4wxJhop3cdojDHGVDQLjMYYY4yPBUZjjDHGxwKjMcYY42OB0RhjjPGxwFgJiUg7EZkqIstEZJeI/CgiD3iLrhtARO4RkYUislNEfk12eZLJ9jMNT0TOFZFXROQXEVERuSbZZUoVInK3iHwiIttEZL2IvCQiRyW7XBXFAmPldDTutRsEHAsEcNtx/TWZhUoxtYDngQnJLkgy2X6mpaqPez6GJrsgKeg8YBxwOnARUBN4W0TqJ7VUFcTmMVYRInIncIeqHp7ssqQSEekH5Khq4yQXJSlE5CPgE1Ud5t1OA1YCY1T10aQWLoWIiALdVfWlZJclFXmLrKwHzlPVD5JdnkSzGmPVkUHV2EHExIlvP9N3g2mqWuDdDrufqTElyPB+V4vPGAuMVYCIHAkMByYluywmpZS2n2mrii+OqYy8VoYc4F+qujjJxakQFhhTiIg86g0CKO3n6JBzWgNvAs+r6pTklLxixPL8GGPKbRzQGeid7IJUlJRfRLya+QcwvYxjfgr+ISKHAO8DC4GBiStWyojq+THR72dqjJ+IjAWuBM5V1VXJLk9FscCYQlR1A7AhkmO9muL7uP0q+3t9R1VaNM+PcfuZikhwP9OX4ID9TMcmsWgmxYnboXgM0B3ooqrLklykCmWBsRLyguJ84Gfg90Dz4E7bqmo1AUBEDgWaAocC6SJygnfXD6q6PWkFq3i2n2kJRKQBcKQvqb33PtmsqiuSU6qUMQ64AegGbBORYJ90nqruSl6xKoZN16iEvCkIYT/YVFUqtjSpSUSmA7eEuet8VZ1fsaVJLhEZBtxJ0X6mI1T1o6QWKgWISBdcq0uoGarar0ILk2K86Svh9FfV6RVZlmSwwGiMMcb42KhUY4wxxscCozHGGONjgdEYY4zxscBojDHG+FhgNMYYY3wsMBpjjDE+FhiNMcYYHwuMxhhjjI8FRmOMMcbHAqMxxhjjY4HRGGOM8fl/gIflDe/Q+F8AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = df['prestige']\n", "\n", "fig = plt.figure()\n", "ax1 = fig.add_subplot(211)\n", "\n", "prob = stats.probplot(x, dist=stats.norm, plot=ax1)\n", "ax1.set_xlabel('')\n", "ax1.set_title('Probplot against normal distribution')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "ShapiroResult(statistic=0.9719783663749695, pvalue=0.028748834505677223)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Fonte: https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.shapiro.html\n", "\n", "x = df['prestige']\n", "shapiro_test = stats.shapiro(x)\n", "shapiro_test" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**O teste de Shapiro-Wilk rejeitou a normalidade da variável prestige**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Transformação de Box e Cox" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([12.51825415, 12.54686403, 11.99093992, 11.31135246, 12.95879723,\n", " 13.33049166, 12.87567567, 13.37506723, 12.92192448, 12.51825415,\n", " 11.8501932 , 11.64603064, 10.98794709, 11.87040713, 13.08698207,\n", " 11.1292876 , 13.74340698, 11.4485467 , 11.4695017 , 12.89419634,\n", " 13.94070341, 11.60474681, 12.25758719, 14.16018148, 12.31601669,\n", " 12.4799997 , 12.12009649, 8.66987342, 12.82924971, 12.56589899,\n", " 12.39347066, 11.35375005, 11.39598336, 11.02073095, 10.09704671,\n", " 9.59484051, 10.49495291, 9.64500442, 10.29796834, 8.09434495,\n", " 8.35815818, 9.18358376, 8.83531236, 8.98430315, 9.10439518,\n", " 7.86790696, 10.68820922, 8.78050999, 8.76675621, 9.54441005,\n", " 9.37862106, 7.4111847 , 5.20610333, 6.87371812, 10.25105498,\n", " 10.22751571, 10.68820922, 9.79393547, 10.74436802, 7.91369882,\n", " 6.31237232, 11.10766432, 7.31327329, 6.42457029, 5.74206988,\n", " 6.29349361, 9.86754611, 6.55322037, 8.72536569, 9.20982833,\n", " 7.19743818, 8.65594525, 6.85628107, 8.44429728, 7.77553866,\n", " 9.66998765, 9.87976038, 8.80795354, 9.58225804, 8.80795354,\n", " 9.81853462, 10.65436742, 8.98430315, 7.68209582, 9.10439518,\n", " 10.59771697, 7.53983802, 9.46825577, 10.58634942, 10.68820922,\n", " 9.20982833, 8.84896021, 7.94408423, 9.71975903, 7.4111847 ,\n", " 12.25758719, 10.43741229, 8.80795354, 7.18074516, 7.346049 ,\n", " 9.63248822, 8.71152549]),\n", " 0.4448809017391788)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "BoxCox = stats.boxcox(x)\n", "BoxCox" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dados transformados (y)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "lam = 0.445\n", "x = np.asarray(df['prestige'])\n", "y = (x**lam-1)/lam" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.displot(y, kind='hist')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Probplot against normal distribution')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax1 = fig.add_subplot(211)\n", "\n", "prob = stats.probplot(y, dist=stats.norm, plot=ax1)\n", "ax1.set_xlabel('')\n", "ax1.set_title('Probplot against normal distribution')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "ShapiroResult(statistic=0.9842517971992493, pvalue=0.2676997184753418)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "shapiro_test = stats.shapiro(y)\n", "shapiro_test" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**O teste de Shapiro-Wilk não rejeitou a normalidade da variável prestige**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bandas de confiança para os quantis utilizando o pacote pingouin\n", "\n", "**É necessário que todos os pontos estejam bem acomodados dentro do 'envelope' = bandas de confiança. O envelope pode ser criado com outras distribuições de probabilidade.** \n", "\n", "Atenção, existe uma incompatibilidade entre as bibliotecas scipy e pingouin, talvez seja necessário fazer neste ponto\n", "\n", "!pip uninstall scipy\n", "\n", "!pip uninstall pingouin\n", "\n", "!pip install pingouin\n", "\n", "Veja todas as opções de análises estatísticas do pacote pingouin em https://pingouin-stats.org/index.html" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "import pingouin as pg" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pg.qqplot(y, dist='norm', confidence=0.9);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note que o segundo envelope acomoda muito melhor os pontos**" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.5" } }, "nbformat": 4, "nbformat_minor": 2 }