{ "metadata": { "name": "", "signature": "sha256:06f9f0b849a0b25dfa757c4f50de7aa8e627da8b5837161f1f1c76586f76d1af" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": true, "input": [ "from pylab import *\n", "%matplotlib inline\n", "import pandas\n", "from pandas.tools.plotting import scatter_matrix\n", "from scipy.stats import pearsonr\n", "from statsmodels.tsa.stattools import ccf\n", "from statsmodels.tsa.stattools import acf\n", "import numpy\n", "\n", "# nastavitve za izris grafov (http://matplotlib.org/1.3.1/users/customizing.html)\n", "rc('text', usetex=True)\n", "rc('font', size=12, family='serif', serif=['Computer Modern'])\n", "rc('xtick', labelsize='small')\n", "rc('ytick', labelsize='small')\n", "rc('legend', fontsize='medium')\n", "rc('figure', figsize=(5, 3))\n", "rc('lines', linewidth=2.0)\n", "rc('axes', color_cycle=['k'])\n", "\n", "# \u0161tevilo predal\u010dkov v histogramu (pravilo Freedmana in Diakonisa)\n", "def stevilo_predalckov(x):\n", " iqr = percentile(x, 75) - percentile(x, 25)\n", " sirina = 2.0 * iqr * len(x) ** (-1.0 / 3.0)\n", " return int((max(x) - min(x)) / sirina) " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Korelacija" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Korelacijski koeficient" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Korelacijski koeficient med dvema koli\u010dinama, $y_1$ in $y_2$, ki sta podani kot $N$-razse\u017ena vektorja, je\n", "\n", "$$R_{y_1,y_2}=\\frac{1}{N-1}\\sum_{i=1}^{N}\\left(\\frac{y_{1i}-\\overline{y_1}}{\\sigma_{y_1}}\\right)\\left(\\frac{y_{2i}-\\overline{y_2}}{\\sigma_{y_2}}\\right)$$\n", "\n", "kjer sta $\\overline{y_1}$ in $\\overline{y_2}$ povpre\u010dji obeh koli\u010din, $\\sigma_{y_1}$ in $\\sigma_{y_2}$ pa njuna standardna odklona.\n", "\n", "Korelacijski koeficient je brezdimenzijska koli\u010dina, ki lahko zavzame vrednosti med -1 in 1. Pozitivne vrednosti pomenijo, da sta spremenljivki korelirani, se pravi, da ena koli\u010dina v povpre\u010dju raste, ko raste druga. Negativne vrednosti $R$ pomenijo antikorelacijo, ko vrednosti prve koli\u010dine v povpre\u010dju padajo, ko druge nara\u0161\u010dajo. Pri tem so vrednosti na obeh konceh intervala rezervirane za jasne linearne odvisnosti koli\u010din; tiste v sredi, recimo med -0.3 in 0.3, pa za blago, komaj razlo\u010dno povezavo med gibanjem obeh spremenljivk.\n", "\n", "Poglejmo si korelacijske koeficiente med koli\u010dinami, prikazanimi na naslednjih \u0161tirih grafih:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "N=100\n", "x=linspace(1, N, N)\n", "y1=-0.8 + 1.6 * x / N + np.random.normal(0, 0.05, N)\n", "y2=-0.2 + 0.3 * (x / N) ** 2 + np.random.normal(0, 0.1, N)\n", "y3=0.0 + 0.0 * (x / N) + np.random.normal(0, 0.1, N)\n", "y4=0.6 - 1.2 * (x / N) + np.random.normal(0, 0.2, N)\n", "p = numpy.random.permutation(len(y1))\n", "y1 = y1[p]\n", "y2 = y2[p]\n", "y3 = y3[p]\n", "y4 = y4[p]\n", "\n", "fig, (ax1, ax2, ax3, ax4) = subplots(4, 1, sharex='col', sharey='row', figsize=(3, 9))\n", "ax1.plot(x, y1, \"ko\", markersize=4.0)\n", "ax1.set_ylabel(r'$y_1$')\n", "ax1.set_ylim(-1, 1)\n", "ax2.plot(x, y2, \"ko\", markersize=4.0)\n", "ax2.set_ylabel(r'$y_2$')\n", "ax2.set_ylim(-1, 1)\n", "ax3.plot(x, y3, \"ko\", markersize=4.0)\n", "ax3.set_ylabel(r'$y_3$')\n", "ax3.set_ylim(-1, 1)\n", "ax4.plot(x, y4, \"ko\", markersize=4.0)\n", "ax4.set_ylabel(r'$y_4$')\n", "ax4.set_ylim(-1, 1)\n", "ax4.set_xlabel(r'$i$')\n", "subplots_adjust(hspace=0.1)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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YeCOFuyRlUNURRVXokjJlIzK4snUowpw0IKZQFRgEbsLGLNvwyUvB5FCYRCRZhMngDyEC\noTAJEQiFSYhAKExCBEJhEiIQKcJ8L+K3uL1NCKkdEoR5Ayersfu5BHspy8ew9zCJ2y7BCFIW+ZVg\nhwQbADl2pEWCMN8H8FnIb5c9v30GYFCKRQmRkgkk2CHBBkCOHWmRIMwozsFe+BkAvgTwgkFbCCkN\n6cIkZCkpY0heWNDGu5DzhwC+G3DMFmwX9gHs9uYNADd9x3wKu2YlRBqHAL6V5kTTe5eE4e5dEra3\niZdUD06IZCS4skPYWyK8hZOt3N2NhPadv5cBPA/gV+WaRgghhBBCCCGkgnBIHiEeJAR/Kj8kj5C8\nkSDMyg/JIyRvJAgzCg7JI0uJdGESspRIF+Yh7DYmnL9PDdpCSGlIFaYrxkewh+IBIUPyzp07N9sf\ngx9+hH0+RUokCDPTkLzDw0MopYx+bt26ZdwGKXZIsEGKHcgwuULC3iW/dD5eXvV8f8f5+7gccwgx\nj4QakxDig8LMgfX1ddMmAJBhhwQbADl2pIV7lxBSENy7hJCaQWESIhAKkxCBUJiECITCJEQgFCYh\nAqEwCREIhUmIQChMQgRCYRIiEAqTEIFQmIQIhMIkRCAUJiECoTAJEQiFSYhAKExCBEJhEiIQCcKM\n283L3QlsEyfLWxJSa0wLU2c3rysAnsBeQPfL8kwjxBymhamzm9d1AC8hYLFnQuqKaWHq7OZ1FraA\n75RlFCGmMS1MHd6B7eoegrtKkyXB9BYJcbt53QDwOYAHAP6A+a0TZty+fXv2fX19vfKL/ZJqsru7\ni93d3VyuZXrB54sA+rBrxSGAKey25GnYLu4m7A2GvgSwBVvI/rYmF3wmIqnygs9hu3m5u309AHAV\ntkAVGAAiS4LpGjMPWGMSkVS5xiSEBEBhEiIQ01FZIhylFA4ODgAAq6urrntGCoY1JglFKYWrV69i\nbW0Na2truHbtGtieL4c6FH8M/hTEZDLB2toajo6OAAC9Xg97e3u4cOGCYcuqAYM/hNQMCpOEsrq6\nio2NDfR6PfR6PWxsbGB1ddW0WUsBXVkSCYM/6cniytYhlSlMIhK2MQmpGRQmIQKp5QADtovyh2la\nLrWrMdN2iiulMJlMMJlM2InugwMNSBqUl/F4rLrdroI9TUz1ej01Ho9VFNPpVA2HQ9XtdlW321VX\nrlxR0+k08pxlQidNp9OpGo/HajweM+0cnPRKRe1qzDQcHBxgZ2cHR0dHODo6ws7OzsxtywNV89pY\nsUat/TtOw1xpfXx8rIbDoer1eqrX62nVfmlqWV3qUBu7zxCWpkWmXxUIe8fIUGPWgYVEOT4+TuRW\nxWW8LJjKtEldy7jjo35fdmGGPT+WXZh5ZIqi2kgmMm3SWtp//HA4VJZliSjYqgCFGYx2xjcRoDCR\naZMGayzLmju+1WqpTqeTyPXOM22rFkgKe8dYdmHqZHyTbb0yMlqU0PzC9KfFYDCYO977abfbajQa\nlZJW0+lUWZal+v1+pvdkqgD23xMlCfMygA8B/AOArwN4EcDf53DduE2F4n7XehF5u5S6Lz9rJtE5\n//j4WPX7/VktNxwOEwVrut2u6vf7qtfrqXa7rZrN5pw4O51OpoJM5xncwmJlZWXu3knfk6RgG0oS\n5pbz9xLs7Qqegy3ULFzyXHcTi5sKxf0O+PoxwwgSptuOSiou3ZefNZPonD+dTlW/31/IzFHPFpUW\nlmWp4XCo2u12JoEkTQO/TWnvW2abPq7AQYk15jc9/x4C+DTjNbdwIraLAO4m/B0IEWaYmNxaxK1V\n0ogrzlV0yZpJdAqT8Xi8UMt0Op0F1zUqLfzPPp1O1Wg0Up1OJ3MG102DIGGurKyowWCgjo+Pc79f\nGoK65aLyD0oS5nNYdCeHGa95F7bgAXvzoO2EvwMBwgwrpXXaYf5MHPSiR6OREWG6Lqe/kPAKCIAa\nDAazTKKTFt5js/QH6zxDWBp4C4tOp6O+8Y1vJA5A+a+TZ7Atrl0e9FwoQZh3AfwA+W8cW4gwdTJD\nWG00HA5Vp9OZldb7+/uhx+kGnIKOS9Lucs8PygyuLd1uV7Xb7YUaJqkwsvQH6zxDlFDcNNEt+KLu\nmXfwx5+O7XY71qNABmHqzi75Eew9Ru7B3lfkEMBPAPx72hs7xG0qFPc7gMVNhV54IWg3vxOUUlBK\n4bXXXsO//Mu/AAA2NjYAAB988AG++uorAMA//uM/YmtrCxsbG3j48CEA4Hvf+x4A4O2338bbb7+N\nRqMROtui0Whge3t7YVaGcoaw7ezsAADeeOMN3L9/f+Ea/vOVUvj2t7+tdY+keIclAsDOzg4+/vjj\nzAtv6dinfDNXstJoNApfMOzUqVML+efzzz/H7du3oZTCf/zHfxR6/zBuwA4AfSfjdS7iJLgzBPCm\n8/10zO9eAl2yqJrKrRk6nY4aDAbKsqzI9po/MJI14ud3P3VrhDRumjdiG3WOyRFKQTV1mX2/cW59\nWLs8yKPwPg9KcGXvwHYjXSG67mVQlDQpW1jsDvko5ncvgUIJc2eiMmBYhNP9PezcJK5T0D10+grd\ne1iWpT0qx80kXtc8LJCiK/q83cSwQkpHLGns0YmwhwV20nTL5aCPSC7D7rf8Iewukus46V80TaJS\nPq5miKphotqlurXoeDxeCNY0m81Cul2Cgkej0Sg0Y8VlvLz7COMKwrh760RG464RFASMa+NGpVPZ\nwnwOtlvpxRWraRIJU6dmCEv4oHP9Lzau9gvrr4uyP6nAws5LM9Qu6npZ52UGFVLeiHLcvZMGiXSv\n4f+/druttre3Z95K1Lhibx5BSd0lUkncFknjjoW5kkFCixop431x/lE2ul02ugLTuVcS4oSZtEYN\ninRalqV97zyEGRRh99bErVZLnTp1SjWbTdVsNtXKyspcOga9C/edYdmF6e17CxNcVjGGZTg3MyYZ\nKeO/blimcINT+/v7qQWWVxeE91nzmpeZJJgV1MRIGiQKu19Y29U/yCLu439eLLswvYkeJZ4kQSLv\nOf5SMqimSDtSJq52hFMDuy5TWoGliejq2Ov9vyAXUDeopdOfGxTECgrmRAWIkvTNhjU73FoyrpAE\nhRldWkdFU8MEm7Qt6L1WUEe/biYMu6/f5jQCyzui6l7TW8OfOXNm5gLGBbV00a2J/e9zOByq/f39\n1LNVvNdrtVqq1WrNhnN625th7wIUZjphJjnHLSWjXCD/LA/dWjsoM0S5xlECy9p9kJSgwNS7776b\nyzjbsHvoBslardZCv3RUOzaIsNiC//eg9AOFqTeowP9b1Av3nxMWfYsLvccVDmGZwZ2XmKRmTBp8\nyaP7I0lQJm0hoOslRHk53k9Y5Nd7vzw8C1CY8Qka1vaIm2URdr2kUcKkgZE0GSTpPdLY5LcvqAAJ\nCsok7XMMupe/neivxaKi0N6PG42Niy1kdcNBYaYnbemoG3rXLQTS2BIXOIpqi2WN1Prblt6hjVls\n071vp9OZdWEEdVV434U/eNftLs7SCYstZHHDQWGWT1zoPahNEiW8qPZp1P2DRsLEid8frEnTD6wT\nhfY+r+4c1jjC3NWgQRdBIu31gmfpuOflNQ9VKQozVaLlgU5Xi67IdIemuURFmqNq3aBgjc4oIv+z\nxS0BEhQhLWJ+p/uJG3QRV0h4p/w1m81ZBJaubHpSJVqRpGnrxa1CkPUeWc8LO9+1VWewgbddl3au\nZ1AXRppBF1mHVuqADMKs5W5fXlRFdqk6dWp+t4rXX389cm6iuw27O09Udxv2tOeF0W638fOf/xyb\nm5uxaevOk1Sa81GB4Pfnzu9UzlYET548wfe///3ZXNI4wq7hpdls4vz582LzSxXQKl3z6OjWJekg\nAJ3BCWHnpa110nYH6D5b1HFpBwykuZfOs2Rpbwdd001b0JUNJs8IW5YXVEZHf5no2hp2XNoBAzrj\nj5OkX9b2dpAN3oIEdGXlkXR5izKWw8gLXVuDjlMhy7pkXVIkj/RrNBo4f/586uv4l2dZdmJLsKzu\nCcmHuL7PsOOLen95Xz8kYpyKOrRslYrYj1BVJPizDEwmE6ytrc1qlF6vh729vcgaquj3l+f1lRPU\ncgNrf/zjH4GUGqu9K1slF5EsUvT7y/P6/hUBX3nllfTXysUis0TWmEQO/hplY2MjtJukDjjPlerh\n6pAiFGaFWKamRdWFeR3AZ7BXWr8X8Pt7AP4W9lKZjwB86fudwiQiySLMU/GHFMol2Is7P4a9ynrQ\nOrVXADyBHeHyi5KQWmJamJdh15Zw/g4CjrkO4CUAvyrLKEJMY1qY5wB84Xz/EkDQpiNnYQv4TllG\nEWKaKnSXvOP8PQu79lxoh/o3FVpfXy/DLkLm2N3dxe7ubi7XKiP4E7bnyD3Y+5J8BuAB7PbmDQA3\nPcfcAPC58/sQwKuwdx7zwuAPEUmW4E8ZNWZQpNXlEezt/QC7RnS3jj8N28X93DkGsLdj+G0RBhIi\nDdNtzH3n72UAz+MkwOOK8QGAq7CjtQoMAJElQUI/ZlboyhKRVLkfkxASAIVJiEAoTEIEQmESIhAK\nkxCBUJiECITCJEQgFCYhAqEwCREIhUmIQChMQgRCYRIiEAqTEIFQmIQIhMIkRCAUJiECoTAJEQiF\nSYhAKExCBCJFmO9F/HYd9mJdYctgElI7JAjzBmzhBaGzt4lx8lrkNysS7JBgAyDHjrRIEOb7ONm/\nxI/O3ibGkZIJJNghwQZAjh1pkSDMKHT2NiGkdkgXJiFLiem9S1w+BPDdgGPi9jYBgE9h16yESOMQ\nwLfSnGh675Iw3L1LwvY28ZLqwQmRjARX1t3F6y0Azzn/5+5dEra3CSGEEEIIIYQQEgaH5BHiQULw\np/JD8gjJGwnCrPyQPELyRoIwo+CQPLKUSBcmIUuJdGEewm5jwvn71KAthJSGVGG6YnwEeygeEDIk\n79y5cwoAP/xI/HyKlEgQZqYheYeHh1BKGf3cunXLuA1S7JBggxQ7kGFyRRmD2OP4pfPx8qrn+zvO\n38flmEOIeSTUmIQQHxRmDqyvr5s2AYAMOyTYAMixIy1lTJQuGuX484SIotFoACk1xhqTEIFQmIQI\nhMIkRCAUJiECoTAJEQiFSYhAKExCBEJhEiIQCpMQgVCYhAiEwiREIBQmIQKhMAkRCIVJiEAoTEIE\nQmESIhAKkxCBUJiECESCMON283J3AtvEyfKWhNQa08LU2c3rCoAnsBfQ/bI80wgxh2lh6uzmdR3A\nSwhY7JmQumJamDq7eZ2FLeA7ZRlFiGlMC1OHd2C7uofgrtJkSTC9RULcbl43AHwO4AGAP2B+64QZ\nt2/fnn1fX1+v/GK/pJrs7u5id3c3l2uZXvD5IoA+7FpxCGAKuy15GraLuwl7g6EvAWzBFrK/rckF\nn4lIqrzgc9huXu5uXw8AXIUtUAUGgMiSYLrGzAPWmEQkVa4xCSEBUJiECITCJEQgFCYhAqEwCREI\nhUmIQChMQgRCYRIiEAqTEIFQmIQIxPTsElJTlFI4ODgAAKyurrrD04gmrDFJ7iilcPXqVaytrWFt\nbQ3Xrl0DxzMnow7FWO0GsVeltgmzczKZYG1tDUdHRwCAXq+Hvb09XLhwwZiteZD0vXAQe42oSm0j\n2U6lFCaTCSaTSSKbos6T/LxSUXViPB6rbrerYM8/Vb1eT43HY9NmLRBl53Q6VcPhUPV6PdXr9dSV\nK1fUdDotxS733t1uV3W7Xe17x52X5r04x6aCwR+ihfK5cVE0Gg1sb2+X4o777To4OMDOzs7Mjd7Z\n2cHBwUGsG532PBJOxjJWFmXXNtPpVI3HYzUej0PvE1SbHB8fG6sVo+za399XnU4ntmbzP3dcjZjk\nvbjXQ4Yasw7EJnpRFHWfMu3XcfvCMm1Zdobht6vb7arLly+rZrOpAKhWq6WGw+GCbWkLmqSFGCjM\n6ERPmmnS1iImMmcWdNtNJtu97ruwLEtZljX3Tvx2tdvtudqy3W4ry7K0a8ekBU3Q8f5rm5GEDOYS\nK2smylqLJCWPzJDmnOl0qkajkbbbl5fbGmW//zf3vp1ORzWbTdVsNufeid+uwWCw8E4sy1p4n5Zl\nLQh6NBoleiavbSsrK2owGKjj4+NaCTNuU6G43+cSLKtgyqxFkta6YcfHZfYwt83N8K1WS3W7XdXv\n99X29vZUj5UIAAAYxUlEQVSslnHP99dYbgZM6sJGPW/Qb34BBaW199mD3FH/NfxibbVaC4LXYTwe\nzxVqANRrr72m9vf3ZzagJGFuwl7bFQBGAD4C8J2M17zkueYmFjcVivsdAAJL2bSle5B7NBqNFjJj\nHrVIEnGH1XBBNYLXDsuyFs4ZjUZz911ZWVF/+Zd/OWubnTp1SvX7/VkmCxJ1Ghc+6nmDfvPbqZtO\num6rrscQdt2VlZUF2zqdjhoOh8qyrNKEeR32As13Abzo/N9W+OFabOFEbO61k/wOOI1+3RokDm/J\n7ZamnU5HnTlzJvQ+Qe2fNBm12+2q0Wi0cB3XJn9G6Ha76t133w3NXNPpVPX7/YVM7c/w7XY7MJOt\nrKzMxBp2bpL2WVAh4aZb0HX9NVur1UpcCEYVoHF9sf6a2F9A+dPWfx2UJMzLzscV5YvOv7Nw13ON\nswC2E/4OaJak/pcVlYmCSlPvx9smyRIE8maabrcbKP6gDOTacObMmQVB+WuhOHfLbZsFCdP/CRNm\nXK3tPuvm5uZcxHRzc3N2nlv4+QWkW/jFufOWZanRaLTgpgeJ1v9Og9qurmD7/X7oO0BJwnwO80K8\nA7sWy0Lpwkwb3PF/Op1OaBsmSeHgZriwmijIlna7rd59990F+1ybwgR96tQp1el0VLfbnblbbgbb\n3NxUrVZr4TlbrZbqdDqzjKvbjvP3AfoLuna7rba3t7U8Bp20jHqncW3buMiqP9rrr1kty1L9fn9B\n4ChBmHcB/ADA13O+rtdVvYRoVzbodwBQzzzzjHrmmWfUn//5n6t79+4tRB+j2hxhETnvy/S6c95P\nlGsXhVvSuiKJy9xBJbv/+JWVFfXuu++G1gjtdnvBLfWLx7Istb29PZfJvAJOk6ZhbniatAurFePa\n6kkDdX6X2w2MxfVx/vSnP1U3b95UP/7xj9WtW7dKEeZp2Jv+bAP4EMA/APhmDte9iJN26hDAm577\nRf3uZVbzxAUqhsOh2t7eXnDv/DWNN7GjXFqvG6fbMR3UNun1emp/f38m1qDrhHUlxLnB7nlJRJC0\nje4+U7vdXohyBkVW3QCJ+8xBrqTf9Yyq9fIUpt/lbjabs0BY0jgCSnJlvdyA7cpmjcoCtvD83SEf\nxfzuJTTx/Zmx1WrNag5/LajbLeJ37ZJ2VwS159rt9kyU3j6xOJKIzi/kwWAwV7vqElZAdDod9eyz\nz8YGi1wX1tu29NoSJAy31k7iUQS5sjrPHuX+68QPvOmDEoR5B3Zt6QrRbfcFdV+UTWCCRoXbAaiv\nfe1r6mtf+1ps+8b/0oNcu7BMq9SiW9Rut1W73Z6z5bXXXsvk0iVxz932kE6wKkyEOn2Nbpr6XeM4\ntz2oG6LT6cQWPjoBvbBn954b9Tw678WbPihBmG409oewXdnrOOn4N02ggPyBCn8by9tuiHIFdV56\n0EsJC6mvrKzMhNhut9VgMFD7+/vaXRBh9wnq4gmqGXTdOh0Rhnklbg3jpqnflrj+zCBh6jQZgp4h\nrk/T3wQaDofa7XI/IQHDQnkOixFYb9eJSQJD6u6AAPf/gl6se0yQu5V0iFZYje1vnwaJJqpQ8RcW\nYZk6rD0cF6lNMrIpqqvE71FE1XBRXog/QuwdiJ6k7Zu2YPH2rSYtDEwIUzLao1N0o3oIyNBphanr\nFumU7u7vut0qQcfEtceinicso+p0OYQ9b1jQLqjfMQm69ut09SQtDNzrY9mFqVMK6rQN/G2/JJHL\noFrAG3XM6hZ5a8YwYek+RxLXXEeESc7XfU4domyJSr+o95Z1llDZwR/JZBamm6BJZ1sE1cjevkBv\n+8o/2kZ3wHqYAKOiwGEd3lkyWVHnpxVmVPeJ93edNMj6nGFg2YUZFfRJ8lJ0z4urzcKGaCXNAK7I\n0rh0RWW2vElbY+kIuqg00L0ull2YYdHLtJHUtKW8ThsvaQao+mRsHdIIKIsLnIUk7wTLLkzdBE0a\noIh7Of5SPo8gkhdTmU86ebrrSUnyTpBBmEuxSp5y1gTd2dkBALzxxhu4f/9+6uuFrQK3urqKjY0N\nPHz4EEop/NVf/RXeeecdXLhwQeyizVXD+y6VUnj99deZxkJJXcrlHZFTKt92TRH2VR3TXkSSdwLW\nmOkoYv3TRqOR21qkZa7PSvTgO9En11KOyKZK7xIZasw6SN1Jg9iDWMrVhKq8yyybCsl8omRoCZOQ\nsuFuX4TUDAqTEIFQmIQIhMIkRCAUJiECoTAJEQiFSYhAKExCBCJBmHHb7L3n/N2EvSgYIbXHtDAv\nwV51/TGApwhep/YKgCewxx1+WZ5phJjDtDAvA/jM+f4ZgEHAMdcBvATgV2UZRYhpTAvzHIAvnO9f\nAngh4JizsAV8pyyjCDFNFeZjvuP8PQu79rznP+D27duz7+vr61hfXy/DLkLm2N3dxe7ubi7XKmN2\nSVhQ5x7sDYM+A/AAdnvzBoCbnmNuAPjc+X0I4FUAP/Jdh7NLiEiyzC4po8ZcqOE8PALQd76fhb0v\nCmAHhL6ALcpHzv+9COC3RRhIiDRMtzH3nb+XATyPkwCPK8YHAK7CjtYqMABElgROlCakIDhRmpCa\nQWESIhAKkxCBUJiECITCJEQgFCYhAqEwCREIhUmIQChMQgRCYRIiEAqTEIFQmIQIhMIkRCAUJiEC\noTAJEQiFSYhAKExCBEJhEiIQCpMQgUgR5nsRv8XtbUJI7ZAgzBuwhReEzt4mxslrkd+sSLBDgg2A\nHDvSIkGY7+Nk/xI/OnubGEdKJpBghwQbADl2pEWCMKPQ2duEkNohXZiELCWm9y5x+RDAdwOOidvb\nBAA+hV2zEiKNQwDfSnOi6b1LwnD3Lgnb28RLqgcnRDISXFl3F6+3cLKVu7t3SdjeJoQQQgghhBBC\nSBgckkeIBwnBn8oPySMkbyQIs/JD8gjJGwnCjIJD8shSIl2YhCwl0oV5CLuNCefvU4O2EFIaUoXp\nivER7KF4QMiQvHPnzikA/PAj8fMpUiJBmJmG5B0eHkIpZfRz69Yt4zZIsUOCDVLsQIbJFWUMYo/j\nl87Hy6ue7+84fx+XYw4h5pEgTFIySikcHBwAAFZXV9FolDH7jyRBgitbedbX102bAEDPDqUUrl69\nirW1NaytreHatWuu21WaDWUgxY601KGoVHlmrLozmUywtraGo6MjAECv18Pe3h4uXLhg2LL64Xgi\nqTTGGpMQgVCYS8bq6io2NjbQ6/XQ6/WwsbGB1dVV02YRH3RllxAGf8ohiytbhzdCYRKRsI1JSM2g\nMAkRCIVJiEAoTEIEQmESIhCOlSW1oG5dQBSmEOqWscrEHf+7s7MDAHjjjTdw//59I2nofY/Ljqo6\n0+lUDYdD1e12VbfbVVeuXFHT6dS0WZVhPB6rbrc7m6Dc6/XUeDwu3Q7/e3TsSQXbmAI4ODjAzs4O\njo6OcHR0hJ2dHZa6FcT/HrNAYZLKU8fxv3VoyChV8SF5ymkjPXz4EACwsbFhrI2kg3LaUW66NxoN\n4+1iJaCN7n+Pf/zjHwGOlZXxctJSFdvdzPfBBx/gT3/6EwBgZWXFaMBFEt73+MorrwD10FgqAhve\nDKAUgz/QAsMBlzyYTqdqPB6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Sw/8Hd2DU0pnbY48AAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Poskusimo najprej grafi\u010dno predstaviti korelacije med temi koli\u010dinami. To naredimo tako, da nari\u0161emo grafe, kjer eno od koli\u010din nanesemo na vodoravno os, drugo pa na navpi\u010dno os (izvendiagonalni grafi na sliki spodaj, na diagonali so prikazani histogrami posameznih koli\u010din)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "y={'$y_1$': y1, '$y_2$': y2, '$y_3$': y3,'$y_4$': y4}\n", "df=pandas.DataFrame(y)\n", "scatter_matrix(df, alpha=0.5, figsize=(8, 8), color='k', hist_kwds={'alpha': 0.5});\n", "subplots_adjust(hspace=0.1, wspace=0.1);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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f9uzZg8lkon///jXeS0pKYufOnUilUlQqFU8++WSt/ffv389PP/0EVNXajxs3rtm2eHt7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nXrKC4uZuDAgW0+xd7ea+ImIT09HUdHR0pLSxtNsE9MTOSnn35CLpdTVVVlsOjJ999/T1hYGL6+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\nERERERERE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x2FrtFo7vgMn7vWid+8eZNly5bx8ssvc/ny5dtyzoqKCqKjow1KiygsLOSN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\nrKyM2bNnM2L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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vidimo, da sta koli\u010dini $y_1$ in $y_2$ korelirani, koli\u010dini $y_1$ in $y_4$ ter $y_2$ in $y_4$ pa antikorelirani. Med koli\u010dino $y_3$ in ostalimi koli\u010dinami pa korelacije ni opaziti. Ta opa\u017eanja potrdi izra\u010dun korelacijskih koeficientov: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "pandas.set_option('float_format', '{:,.2f}'.format)\n", "df.corr()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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$y_1$$y_2$$y_3$$y_4$
$y_1$1.000.680.11-0.86
$y_2$0.681.000.04-0.49
$y_3$0.110.041.00-0.11
$y_4$-0.86-0.49-0.111.00
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ " $y_1$ $y_2$ $y_3$ $y_4$\n", "$y_1$ 1.00 0.68 0.11 -0.86\n", "$y_2$ 0.68 1.00 0.04 -0.49\n", "$y_3$ 0.11 0.04 1.00 -0.11\n", "$y_4$ -0.86 -0.49 -0.11 1.00" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Korelacijski koeficienti med koli\u010dino $y_3$ in ostalimi koli\u010dinami so res majhni. Lahko na tej osnovi trdimo, ta korelacije med temi koli\u010dinami ni? Da se pokazati, da mora biti korelacijski koeficient po absolutni vrednosti ve\u010dji od $\\frac{2}{\\sqrt{N}}$, da lahko s 95% verjetnostjo trdimo, da sta koli\u010dini korelirani. V zgornjem primeru, kjer je $N=100$, torej o korelacijah med $y_3$ in ostalimi koli\u010dinami ne moremo govoriti. \n", "\n", "Spodnji graf prikazuje porazdelitev korelacijskih koeficientov neke koli\u010dine z razli\u010dnimi vektorji z naklju\u010dnimi elementi. \u010ce bi bilo \u0161tevilo elementov v vsakem od vektorjev neskon\u010dno, bi moral korelacijski koeficient biti enak 0. Pri kon\u010dnem \u0161tevilu elementov $N$ pa so korelacijski koeficienti porazdeljeni okoli 0 tako, da je v 95% primerov korelacijski koeficient po absolutni vrednosti manj\u0161i od $\\frac{2}{\\sqrt{N}}$ (obmo\u010dje med rde\u010dima \u010drtama). " ] }, { "cell_type": "code", "collapsed": false, "input": [ "N=1000\n", "def kor1():\n", " y1=linspace(0, 1, N)\n", " y2=np.random.normal(0, 1, N)\n", " r,z=pearsonr(y1, y2)\n", " return r\n", "\n", "kor=[kor1() for i in xrange(N)]\n", "hist(kor, stevilo_predalckov(kor), normed=True, alpha=0.5);\n", "axvline(-2/sqrt(N), color='r', linewidth=2.0, ls='--')\n", "axvline(2/sqrt(N), color='r', linewidth=2.0, ls='--')\n", "xlabel(r'Korelacijski koeficient');\n", "ylabel(r'Verjetnostna gostota');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Korelacijska funkcija" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pomembna karakteristika povezave signalov $y_1(x)$ in $y_2(x)$ je njuna korelacijska funkcija\n", "\n", "$$R_{y_1,y_2}(\\Delta x) = R_{y_1(x),\\,y_2(x+\\Delta x)},$$\n", "\n", "torej korelacijski koeficient pri zakasnitvi $\\Delta x$. Iz nje zelo jasno razberemo morebitne fazne premike signalov: zgodi se, da je skalarni produkt signalov majhen, da pa zrase, ko enega od signalov premaknemo po osi $x$. Seveda postaja z ve\u010danjem premika $\\Delta x$ interval, po katerem lahko ra\u010dunamo korelacijski koeficient, vse kraj\u0161i, zato je definicijo smiselno popraviti tako, da ra\u010dunamo povpre\u010dno vrednost produkta \u2013 se pravi, da pri vsakem $\\Delta x$ delimo rezultat s \u0161tevilom to\u010dk, na katerih se signala sploh \u0161e prekrivata.\n", "\n", "Poglejmo si korelacijsko funkcijo signalov, prikaznih na spodnji sliki." ] }, { "cell_type": "code", "collapsed": false, "input": [ "N=1000\n", "x=linspace(0, 5, N)\n", "y1=sin(2 * pi * x) + np.random.normal(0, 0.3, N)\n", "y2=-0.4 + 0.5 * sin(2 * pi * x - 2.4) + np.random.normal(0, 0.5, N)\n", "y3=0.2 * np.random.normal(0, 1, N)\n", "plot(x, y1, 'ko', x, y2, 'ro', x, y3, 'yo', markersize=3.0, alpha=0.4);\n", "xlabel(r'x');\n", "ylabel(r'y');\n", "legend([r'$y_1$', r'$y_2$', r'$y_3$']);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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rbgTLzSYA/JVhzI2roaEBt9uNwWAgPj5+WRaA0+nk5MmTqFQqP59mT08PsLQF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\nPjEttI4QcgWInDISGxvLWrdCv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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Korelacijska funkcija signalov $y_1(x)$ in $y_2(x)$ je prikazana s \u010drno barvo, korelacijska funkcija signala $y_1$ s signalom $y_3$, ki vsebuje naklju\u010den \u0161um, pa je prikazana z rumeno barvo. Z rde\u010dima \u010drtama je prikazana meja obmo\u010dja med $\\pm\\frac{2}{\\sqrt{N}}$. \u010ce je vrednost korelacijske funkcije pri nekem $\\Delta x$ izven tega intervala, smo lahko z vsaj 95% verjetnostjo prepri\u010dani, da sta pri tem zamiku signala korelirana. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "c12=ccf(y1, y2)\n", "c13=ccf(y1, y3)\n", "plot(x, c12, 'k', x, c13, 'y');\n", "xlabel(r'$\\Delta x$')\n", "ylabel('Korelacijska funkcija');\n", "ylim(-1.1, 1.1)\n", "axhline(-2/sqrt(N), color='r', linewidth=2.0, ls='--');\n", "axhline(2/sqrt(N), color='r', linewidth=2.0, ls='--');\n", "legend([r'$y_1$ in $y_2$', r'$y_1$ in $y_3$'], ncol=2, frameon=False, loc=2);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Avtokorelacijska funkcija" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Tako funkcijo je zanimivo izra\u010dunati celo za en sam signal, takrat jo imenujemo avtokorelacijska funkcija:\n", "\n", "$$R_{y,y}(\\Delta x)=R_{y(x),\\,y(x+\\Delta x)}$$\n", "\n", "Pri periodi\u010dnih signalih lahko iz ekstremov $R_{y,y}(\\Delta x)$ zelo natan\u010dno od\u010ditamo periodo signala, pri neperiodi\u010dnih pa zvemo, kako dale\u010d se signal \"spominja\" prej\u0161njega poteka.\n", "\n", "Na spodnjem grafu sta prikazani avtokorelacijski funkciji signala $y_1$ s \u010drno bravo in naklju\u010dnega \u0161uma $y_3$ z rumeno bravo. Z rde\u010dima \u010drtama je prikazana meja obmo\u010dja med $\\pm\\frac{2}{\\sqrt{N}}$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "c11=acf(y1, nlags=N, unbiased=True)\n", "c33=acf(y3, nlags=N, unbiased=True)\n", "plot(x, c11, 'k', x, c33, 'y');\n", "xlabel(r'$\\Delta x$')\n", "ylabel('Avtokorelacijska funkcija');\n", "ylim(-1.3, 1.3)\n", "axhline(-2/sqrt(N), color='r', linewidth=2.0, ls='--');\n", "axhline(2/sqrt(N), color='r', linewidth=2.0, ls='--');\n", "legend([r'$y_1$', r'$y_3$'], ncol=2, frameon=False, loc=2);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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a338ZbW17ERu7AoAO+/dHQKczYOFCWyVqMnWjtnYDACA5+TneZ0zfO+tQu8HB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\n9Y3Bhx/G48UXAT+/jzFhwl/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    \n", "
  1. V datoteki Maribor.zip so zbrani vremenski podatki z merilne postaje Maribor-letali\u0161\u010de za obdobje od 1. 1. 1977 do 31. 1. 2015. Izra\u010dunaj korelacijske koeficiente med minimalnimi in maksimalnimi dnevnimi temperaturami, obla\u010dnostjo, vla\u017enostjo ter dnevno koli\u010dino padavin v letu 2014. Katere od teh koli\u010din so korelirane?\n", "\n", "
  2. Pred leti so v okviru mednarodnega projekta v na\u0161em znanem gradbenem podjetju merili hitrost strjevanja betona. Ulili so nekaj metrov velik betonski blok, v katerega je bila vdelana cela vrsta termo\u010dlenov za sprotno merjenje temperature. Datoteka Beton.dat podaja izmerke v razdobju \u0161estih dni v dveh merilnih to\u010dkah. Prva je blizu povr\u0161ine, druga globoko v notranjosti. (Prvi stolpec je zaporedna \u0161tevilka meritve \u2013 \u010dasovni interval med njimi lahko oceni\u0161 iz o\u010ditnih dnevnih nihanj temperature.) Dolo\u010di efektivno zakasnitev med obema signaloma iz njune korelacijske funkcije.\n", "\n", "
  3. Iz podatkov v datoteki Maribor.zip izra\u010dunaj avtokorelacijsko funkcijo obla\u010dnosti za obdobje od 1. 1. 2000 do 31. 12. 2009 in komentiraj njeno obna\u0161anje pri majhnih in velikih zakasnitvah.\n", "
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