{ "metadata": { "name": "" }, "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", "\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", "\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": "iVBORw0KGgoAAAANSUhEUgAAAOYAAAIlCAYAAADBiYSIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\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": "iVBORw0KGgoAAAANSUhEUgAAAfUAAAH1CAYAAADvSGcRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ndUIIIcRL/B9f1UL4qYN5YQAAAABJRU5ErkJggg==\n", "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": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
$y_1$$y_2$$y_3$$y_4$
$y_1$ 1.00 0.66-0.07-0.86
$y_2$ 0.66 1.00 0.14-0.56
$y_3$-0.07 0.14 1.00 0.04
$y_4$-0.86-0.56 0.04 1.00
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 4, "text": [ " $y_1$ $y_2$ $y_3$ $y_4$\n", "$y_1$ 1.00 0.66 -0.07 -0.86\n", "$y_2$ 0.66 1.00 0.14 -0.56\n", "$y_3$ -0.07 0.14 1.00 0.04\n", "$y_4$ -0.86 -0.56 0.04 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": "iVBORw0KGgoAAAANSUhEUgAAAUwAAADWCAYAAAC65LvOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niQmTiMgkJkwiIpOYMImITGLCJCIy6f8BcMiP1LXc2IkAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 5 }, { "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=np.random.normal(0, 1, N)\n", "plot(x, y1, 'ko', x, y2, 'ro', markersize=3.0, alpha=0.5);\n", "xlabel(r'x');\n", "ylabel(r'y');\n", "legend([r'$y_1$', r'$y_2$']);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAUgAAADWCAYAAACzDxu0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 6 }, { "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": "iVBORw0KGgoAAAANSUhEUgAAAVAAAADSCAYAAAAc55i+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 10 }, { "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": "iVBORw0KGgoAAAANSUhEUgAAAVAAAADSCAYAAAAc55i+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nlOqjAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Naloge" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
    \n", "
  1. V datoteki Kredarica.zip so zbrani vremenski podatki z merilne postaje Kredarica za obdobje od 1. 1. 1955 do 31. 1. 2013. Izra\u010dunaj korelacijske koeficiente med minimalnimi in maksimalnimi dnevnimi temperaturami, obla\u010dnostjo, vla\u017enostjo ter dnevno koli\u010dino padavin v letu 2013. 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 Kredarica.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", "
" ] } ], "metadata": {} } ] }