{ "metadata": { "name": "WCTippSimulator" }, "nbformat": 2, "worksheets": [ { "cells": [ { "cell_type": "markdown", "source": [ "#Besser als der Zufall: Kleiner Trost bei verlorenem Tippspiel" ] }, { "cell_type": "markdown", "source": [ "*WM vorbei und beim Tippspiel wieder nichts abger\u00e4umt? Willkommen im Boot! Ich auch nicht. Dabei", "dachte ich, dass ich das n\u00f6tige Fu\u00dfballwissen habe um gut tippen zu k\u00f6nnen. Doch hier regierte der", "Zufall, oder? Jedenfalls wollte ich wissen ob mein Fu\u00dfballwissen ausgereicht hat um wenigstens besser", "als jemand zu sein, der einfach nur zuf\u00e4llig auf einen Sieger getippt hat (der Zufallstipper). ", "Hier meine Analyse. Sie verr\u00e4t euch wieviel Tippspiel-Punkte ihr haben m\u00fcsstet um einigerma\u00dfen ", "sicher sagen zu k\u00f6nnen, dass ihr besser wart als der Zufall. Nebenbei erkl\u00e4rt sie wie", "Wissenschaftler den Ausgang von Experimenten bewerten.*" ] }, { "cell_type": "markdown", "source": [ "Jogi's Jungs machten am Sonntag den WM-Titel klar und kr\u00f6nten damit eine aufregende WM mit dem ", "Ereignis, das wir uns alle erhofft hatten. Doch mal ehrlich: Wer hat das denn vorher getippt? ", "Ich jedenfalls nicht. Und leider lag ich auch bei den Tipps f\u00fcr die einzelnen Spiele zu oft daneben.", "So kam es, dass ich mal wieder am Ende unseres Tippspiels leer aus ging. Dabei hatte ich dieses Mal", "viele Spiele (zu viele, nach Meinung meiner Freundin) geschaut, Analysen gelesen und Quoten studiert", "um den n\u00f6tigen Vorteil beim Tippen zu erarbeiten. Belohnt haben mich meine Tipps nicht. Bin ich zu", "doof zum Tippen? W\u00e4re ich vielleicht besser gewesen, wenn ich einfach ohne nachdenken, zuf\u00e4llig ", "getippt h\u00e4tte? Um genau diese Frage zu beantworten, habe ich mir einen statistischen Test ausgedacht,", "der auf einem Tippsimulator basiert. Der n\u00f6tige Programmcode befindet sich in folgender Datei, die ", "ich nun lade:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "run TippSimulator.py" ], "language": "python", "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "source": [ "Es folgen noch ein paar Erl\u00e4uterungen zum Vorgehen. Dann, weiter unten, die Antwort." ] }, { "cell_type": "markdown", "source": [ "##Tippsimulator" ] }, { "cell_type": "markdown", "source": [ "Um entscheiden zu k\u00f6nnen ob ich besser als der Zufall bin, muss ich nat\u00fcrlich erst einmal sagen, was ", "der Zufall genau macht. Entscheidend f\u00fcr meine Analyse ist, dass mein Tippsimulator rein zuf\u00e4llig den", "Sieger eines Spiels tippt. Er ignoriert also jegliche Information \u00fcber potentielle Favoriten und ist ", "somit ein Zufallstipper. Da wir in", "einem Tippspiel aber immer die Spielst\u00e4nde tippen, muss der Tippsimulator nat\u00fcrlich auch sinnvolle ", "Spielst\u00e4nde generieren k\u00f6nnen. Ich habe mir also angeschaut wie die Spiele in den letzten WMs ausgegangen", "sind und die Spielst\u00e4nde per Hand gesammelt (WMs 2006 und 2010). Hiermit kann ich sie einlesen:" ] }, { "cell_type": "code", "collapsed": true, "input": [ "worldcups = readWCHistory()" ], "language": "python", "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "source": [ "Die Spielst\u00e4nde der letzten zwei WMs f\u00fcttere ich dann in meinen Tippsimulator:" ] }, { "cell_type": "code", "collapsed": true, "input": [ "sim = TippSimulator(worldcups)" ], "language": "python", "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "source": [ "Die Variable `sim` enth\u00e4lt nun einen TippSimulator, der Spielergebnisse tippen kann. Dabei aber ", "typische Ergebnisse der letzten WMs ber\u00fccksichtigt. Als Beispiel hier 7 zuf\u00e4llig getippte Spiele:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sim.generateScores(sim.stage1dist, 7)" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 4, "text": [ "array([[ 1., 0.],", " [ 1., 0.],", " [ 1., 0.],", " [ 3., 1.],", " [ 1., 0.],", " [ 1., 2.],", " [ 0., 1.]])" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "source": [ "##Tippspiel" ] }, { "cell_type": "markdown", "source": [ "Um die Punkte f\u00fcrs Tippspiel berechnen zu k\u00f6nnen, muss ich nat\u00fcrlich auch noch die Regeln des ", "Tippspiels definieren. Diese habe ich in einer Klasse WC2104Tippspiel zusammen gefasst und dabei", "die Regeln unseres Tippspiels \u00fcbernommen. Das waren die Standardregeln von ", "[kicktipp.de](http://www.kicktipp.de/info/service/anleitungen/punkteregeln), das hei\u00dft, wir bekamen", "4 Punkte f\u00fcr das richtige Ergebnis, 3 Punkte f\u00fcr die richtige Tordifferenz und 2 Punkte, wenn nur der", "richtige Sieger getippt wurde, oder wenn das Spiel unentschieden, aber mit einem anderen als dem ", "getippten Unentschieden, ausging. Nach der Vorrunde tippten wir das Endergebnis nach m\u00f6glichem ", "Elfmeter. ", "", "Nat\u00fcrlich braucht man auch die Spielergebnisse dieser WM um die Punkte f\u00fcr die Tipps ", "berechnen zu k\u00f6nnen. All das wird von diesem Aufruf \u00fcbernommen:" ] }, { "cell_type": "code", "collapsed": true, "input": [ "tip = WC2014Tippspiel()" ], "language": "python", "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "source": [ "##Wieviel Punkte der Zufall bekommt" ] }, { "cell_type": "markdown", "source": [ "Ich kann nun den Tippsimulator dem Tippspiel \u00fcbergeben und erhalte eine ", "Punkteverteilung, die beschreibt wie wahrscheinlich jeder Punktestand ist, ", "wenn man die Zufallsstrategie des Tippsimulators zum Tippen verwendet:" ] }, { "cell_type": "code", "collapsed": true, "input": [ "Pdist = tip.compPointDist(sim)" ], "language": "python", "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "source": [ "Das m\u00f6chte ich nat\u00fcrlich mit meinen Punkten vergleichen. Dazu lade ich meine", "Tipps ins Programm und berechne die daf\u00fcr erhaltenen Punkte vom Tippspiel.", "Gleichzeitig lade ich auch die Daten f\u00fcr den Gewinner unserer Tipprunde, der", "das Pseudonym \"Noib\" als Name gew\u00e4hlt hatte." ] }, { "cell_type": "code", "collapsed": true, "input": [ "names, tscores = tip.readWC2014tipps()", "tpoints = tip.compWCPoints(tscores)", "tpointssum = tpoints.cumsum(0)" ], "language": "python", "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "source": [ "Nun kann ich alles zusammen in eine Abbildung bringen:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plotTippPointsWithDist(Pdist, tpointssum, names)" ], "language": "python", "outputs": [ { "output_type": "display_data", "png": 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gISGBgwcP4nQ6adq0KQBXXXUVDocDh8NBt27dyM/Pp1OnTpfsfhQKRd2mrKyMBQsWUFZW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\nVnRGgv4tcZ2/p95zYaX8VskjVPPdMILudeR2Z9SJAzqNUTbrunpij33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hhOrgfjSq3cnO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3+GBx54kXCb9X/jf5Ke53H88bN47WtPwfMK5P1Bjuu7nYNGf4q3lTgTUioebgZGTDFFz8odgmFo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\nsJ1iLP94F8Z5MMERVaVPtiCQF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} ], "prompt_number": 8 }, { "cell_type": "markdown", "source": [ "Die grauen Linien zeigen den Verlauf unseres Tippspiels f\u00fcr mich und Noib.", "Je mehr Spiele in der WM entschieden wurden, desto mehr Punkte haben wir ", "nat\u00fcrlich gesammelt. Die Kurven steigen also nach rechts hin an. Anfangs hielt", "ich mit Noib noch gut mit, aber ab ca. Spiel 20 der WM war bei mir ", "Punkteflaute und Noib setzte sich ab. ", "", "Doch was macht der Zufallstipper? Ich habe seine Punkteverteilung farblich", "gekennzeichnet. Schwarz zeigt eine hohe Wahrscheinlichkeit f\u00fcr den jeweiligen", "Punktestand an und \u00fcber rot und gold zu wei\u00df sinkt die Wahrscheinlichkeit bis", "0,0. Wahrscheinlichkeiten, die \u00fcber 0,05 hinaus gehen sind auch mit schwarz", "gekennzeichnet. Man kann sehen, dass der Punktestand des Zufallstippers ", "(nat\u00fcrlich) auch ansteigt. Dabei werden nach mehr Spielen immer mehr", "Punktest\u00e4nde wahrscheinlich, das hei\u00dft, f\u00fcr h\u00f6here Spielnummern sind mehr", "Punktest\u00e4nde farblich markiert. ", "", "Ein erstes Indiz daf\u00fcr, ob ich besser war als", "der Zufall, ist ob sich mein Punktestand au\u00dferhalb des farbigen Bereichs", "befindet. F\u00fcr die ersten paar Spiele sieht es so aus als h\u00e4tte ich mich vom", "Zufall absetzen k\u00f6nnen, doch nach besagtem Spiel 20 habe ich mehrere Spiele", "hintereinander \u00fcberhaupt keine Punkte bekommen. Da hat der Zufall dann wieder", "aufgeholt. Bis ca. zum Ende der Gruppenphase (Spiel 48) schwamm ich auf ", "der Zufallswelle um dann von den leicht vorhersagbaren Spielergebnissen der", "Achtel- und Viertelfinals zu profitieren. " ] }, { "cell_type": "markdown", "source": [ "##War ich wirklich besser als der Zufall?" ] }, { "cell_type": "markdown", "source": [ "Im Prinzip kann der Zufallstipper jeden beliebigen Punktestand erreichen.", "Die oben farbig gekennzeichneten Punktest\u00e4nde sind nur die, die der", "Zufallstipper am wahrscheinlichsten erreicht. Wie kann ich dann einigerma\u00dfen", "sicher sein, dass ich besser als der Zufallstipper war? ", "", "Genau das gleiche Problem haben Wissenschaftler, wenn sie entscheiden ", "m\u00fcssen, ob ein beobachtetes Ph\u00e4nomen nur zuf\u00e4llig entstanden ist, oder ", "tat\u00e4schlich von ihrer experimentellen Manipulation verursacht wurde. Zum", "Beispiel, k\u00f6nnte sich ein Arzt fragen, ob ein verabreichtes Medikament ", "tats\u00e4chlich gewirkt hat. Dazu vergleicht er dann eine Kontrollgruppe, die nur", "ein Placebo bekommen hat mit einer anderen Gruppe, die das Medikament eingenommen", "hat. Die Kontrollgruppe ist hier der Zufallstipper, ich bin die Medikamentengruppe", "und wie stark die Beschwerden zur\u00fcck gegangen sind ist der Punktestand. Der Arzt", "muss dann entscheiden, ob der R\u00fcckgang der Beschwerden in der Medikamentengruppe ", "gr\u00f6\u00dfer war als der in der Kontrollgruppe. Dazu schaut er sich an wie ", "wahrscheinlich der R\u00fcckgang der Beschwerden in der Medikamentengruppe ist, wenn", "er die Variabilit\u00e4t des R\u00fcckgangs der Beschwerden in der Kontrollgruppe zu Grunde", "legt. Nur wenn der R\u00fcckgang der Beschwerden weit au\u00dferhalb des Bereiches liegt,", "der h\u00e4ufig in der Kontrollgruppe vorkommt, kann der Arzt sicher sein, dass das ", "Medikament gewirkt hat und dass er den R\u00fcckgang der Beschwerden in der ", "Medikamentengruppe nicht falsch dem Medikament zuschreibt (schlie\u00dflich", "k\u00f6nnten die Beschwerden auch zuf\u00e4llig zur\u00fcck gegangen sein). Genau dieses Prinzip ", "wende ich nun auf mich und den Zufallstipper an.", "", "Die Abbildung oben hat mir schon einen guten Eindruck davon vermittelt, dass ich ", "zumindest zum Schluss des Tippspiels au\u00dferhalb des Punktebereiches lag, den der ", "Zufallstipper h\u00e4ufiger erreichen w\u00fcrde. Das m\u00f6chte ich nun auch noch anhand einer", "konkreten Zahl fest machen. Wenn der Zufallstipper viele Male mitgetippt h\u00e4tte, ", "w\u00fcrde diese Zahl ausdr\u00fccken in wieviel Prozent der wiederholten Tipps der ", "Zufallstipper mehr Punkte bekommen h\u00e4tte als ich. In der Wissenschaft nennt man", "das den [p-Wert](https://de.wikipedia.org/wiki/P-Wert). Dort wird er allerdings", "eher als erwartete Fehlerwahrscheinlichkeit interpretiert: Wenn ein Experiment ", "hypothetisch viele Male wiederholt werden w\u00fcrde, g\u00e4be der p-Wert den Prozentsatz ", "von Wiederholungen an, in denen der Wissenschaftler den falschen Schluss aus dem ", "Experiment gezogen h\u00e4tte. Im obigen Beispiel: Wie oft der Arzt den R\u00fcckgang der ", "Beschwerden auf das Medikament zur\u00fcck f\u00fchren w\u00fcrde, obwohl tats\u00e4chlich nur der ", "Zufall daf\u00fcr sorgte.", "", "In der Psychologie reicht", "oft schon ein p-Wert von 5% (0,05) um als 'signifikantes' Ergebnis in einem ", "Experiment anerkannt zu", "werden. H\u00e4ufiger m\u00fcssen p-Werte unter 1% liegen. In der folgenden Abbildung zeige", "ich daher die Punktebereiche, f\u00fcr die ich mit einem p-Wert von 0.01 sagen kann,", "dass ich besser (schwarz), oder schlechter (gold) als der Zufall war. Der rote ", "Bereich markiert Punktest\u00e4nde, die man vom Zufallstipper erwarten kann (die ", "Abbildung oben zeigt diesen Bereich im Detail)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plotTippPointsWithCDF(Pdist, tpointssum, names, pval=0.01)" ], "language": "python", "outputs": [ { "output_type": "display_data", "png": 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GvLIPxebNm7n//vsveezMmTP9bWcngvShEEKMJaPRyLx587BYLDQ3N7Njxw6v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\ndHRHuxVi1fMAAAAASUVORK5CYII=\n" }, { "output_type": "stream", "stream": "stdout", "text": [ "points to be above pval = 0.01 : 87.0" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "source": [ "Oh, ich war gar nicht signifikant besser als der Zufall! Zum Schluss hatte ich ", "83 Punkte, aber um mit Sicherheit sagen zu k\u00f6nnen, dass ich besser als der Zufall", "war, h\u00e4tte ich 87 Punkte haben m\u00fcssen. Na ja, Deutschland ist trotzdem ", "[Weltmeister](http://www.youtube.com/watch?feature=player_detailpage&v=pk_2Nt3BCc0#t=144)", "([gold!](http://mediathek.daserste.de/sendungen_a-z/21675666_fifa-wm-2014/22374410_goetzes-goldener-treffer)) und da ist ein Trend in die richtige Richtung! :)" ] } ] } ] }