{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# PdVega-Beispiele" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Importe" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import pdvega" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Deklarative Beschreibung der Datenvisualisierung\n", "\n", "Mit [Vega-Lite](https://vega.github.io/vega-lite/) lässt sich deklarativ beschreiben, wie die Daten auf Visualisierungsfunktionen abgebildet werden sollen. Mit `pdvega` wird diese Spezifikation ähnlich einfach wie über die [Matplotlib-API](https://pandas.pydata.org/pandas-docs/stable/visualization.html) verfügbar: `data.plot` muss lediglich durch `data.vgplot` ersetzt werden, wobei sich `data` auf pandas-`Series` oder `DataFrame`-Objekte bezieht." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Laden eines `DataFrame` mit Zeitreihen von Aktienkursen:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from vega_datasets import data\n", "\n", "\n", "stocks = data.stocks(pivoted=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Matplotlib-API](https://pandas.pydata.org/pandas-docs/stable/visualization.html):" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stocks.plot.line()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## `pdvega`-API\n", "\n", "
\n", "\n", "**Hinweis:**\n", "\n", "[vegalite no longer working with pandas 1.0 or later version](https://github.com/vega/ipyvega/issues/203)\n", "
" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n" ] }, "metadata": { "jupyter-vega3": "#2d9bc212-1eac-4e0b-9cb1-c757085bdcfe" }, "output_type": "display_data" }, { "data": { "application/javascript": [ "var spec = {\"mark\": \"line\", \"encoding\": {\"x\": {\"field\": \"date\", \"type\": \"temporal\"}, \"y\": {\"field\": \"value\", \"type\": \"quantitative\"}, \"color\": {\"field\": \"variable\", \"type\": \"nominal\"}}, \"$schema\": \"https://vega.github.io/schema/vega-lite/v2.json\", \"width\": 450, \"height\": 300, \"selection\": {\"grid\": {\"type\": \"interval\", \"bind\": \"scales\"}}, \"data\": {\"values\": [{\"date\": \"2000-01-01\", \"variable\": \"AAPL\", \"value\": 25.94}, {\"date\": \"2000-02-01\", \"variable\": \"AAPL\", \"value\": 28.66}, {\"date\": \"2000-03-01\", \"variable\": \"AAPL\", \"value\": 33.95}, {\"date\": \"2000-04-01\", \"variable\": \"AAPL\", \"value\": 31.01}, {\"date\": \"2000-05-01\", \"variable\": \"AAPL\", \"value\": 21.0}, {\"date\": \"2000-06-01\", \"variable\": \"AAPL\", \"value\": 26.19}, {\"date\": \"2000-07-01\", \"variable\": \"AAPL\", \"value\": 25.41}, {\"date\": \"2000-08-01\", \"variable\": \"AAPL\", \"value\": 30.47}, {\"date\": \"2000-09-01\", \"variable\": \"AAPL\", \"value\": 12.88}, {\"date\": \"2000-10-01\", \"variable\": \"AAPL\", \"value\": 9.78}, {\"date\": \"2000-11-01\", \"variable\": \"AAPL\", \"value\": 8.25}, {\"date\": \"2000-12-01\", \"variable\": \"AAPL\", \"value\": 7.44}, {\"date\": \"2001-01-01\", \"variable\": \"AAPL\", \"value\": 10.81}, {\"date\": \"2001-02-01\", \"variable\": \"AAPL\", \"value\": 9.12}, {\"date\": \"2001-03-01\", \"variable\": \"AAPL\", \"value\": 11.03}, {\"date\": \"2001-04-01\", \"variable\": \"AAPL\", \"value\": 12.74}, {\"date\": \"2001-05-01\", \"variable\": \"AAPL\", \"value\": 9.98}, {\"date\": \"2001-06-01\", \"variable\": \"AAPL\", \"value\": 11.62}, {\"date\": \"2001-07-01\", \"variable\": \"AAPL\", \"value\": 9.4}, {\"date\": \"2001-08-01\", \"variable\": \"AAPL\", \"value\": 9.27}, {\"date\": 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\"variable\": \"MSFT\", \"value\": 20.59}, {\"date\": \"2009-06-01\", \"variable\": \"MSFT\", \"value\": 23.42}, {\"date\": \"2009-07-01\", \"variable\": \"MSFT\", \"value\": 23.18}, {\"date\": \"2009-08-01\", \"variable\": \"MSFT\", \"value\": 24.43}, {\"date\": \"2009-09-01\", \"variable\": \"MSFT\", \"value\": 25.49}, {\"date\": \"2009-10-01\", \"variable\": \"MSFT\", \"value\": 27.48}, {\"date\": \"2009-11-01\", \"variable\": \"MSFT\", \"value\": 29.27}, {\"date\": \"2009-12-01\", \"variable\": \"MSFT\", \"value\": 30.34}, {\"date\": \"2010-01-01\", \"variable\": \"MSFT\", \"value\": 28.05}, {\"date\": \"2010-02-01\", \"variable\": \"MSFT\", \"value\": 28.67}, {\"date\": \"2010-03-01\", \"variable\": \"MSFT\", \"value\": 28.8}]}};\n", "var opt = {};\n", "var selector = \"#2d9bc212-1eac-4e0b-9cb1-c757085bdcfe\";\n", "var type = \"vega-lite\";\n", "\n", "var output_area = this;\n", "\n", "require(['nbextensions/jupyter-vega3/index'], function(vega) {\n", " vega.render(selector, spec, type, opt, output_area);\n", "}, function (err) {\n", " if (err.requireType !== 'scripterror') {\n", " throw(err);\n", " }\n", "});\n" ] }, "metadata": { "jupyter-vega3": "#2d9bc212-1eac-4e0b-9cb1-c757085bdcfe" }, "output_type": "display_data" }, { "data": { "image/png": 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" }, "metadata": { "jupyter-vega3": "#2d9bc212-1eac-4e0b-9cb1-c757085bdcfe" }, "output_type": "display_data" } ], "source": [ "stocks.vgplot.line()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Das Ergebnis sind schöne Datenvisualisierungen mit einem Minimum an Boilerplate. Zudem sind die aus `pdvega` erstellten Diagramme interaktiv und lassen sich Verschieben und Vergrößern/Verkleinern." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Einfache Datenvisualisierungen mit `data.vgplot`\n", "\n", "Die zentrale Schnittstelle von `pdvega` ist das `vgplot`-Attribut, das pandas-`DataFrame` und `Series`-Objekten hinzugefügt wird.\n", "\n", "Wie bei dem pandas-Plots gibt es zwei Möglichkeiten, Diagramme zu erstellen:\n", "\n", "1. das `vgplot`-Attribut eines pandas-Objekts kann direkt aufgerufen werden, also z.B.\n", "\n", "``` Python\n", "iris.vgplot(kind=\"scatter\", x=\"sepalLength\", y=\"petalLength\", c=\"species\")\n", "```\n", "\n", "2. Alternativ kann auch die spezifische Methode aufgerufen werden, die jedem Diagrammtyp zugeordnet ist:\n", "\n", "``` Python\n", "iris.vgplot.scatter(x=\"sepalLength\", y=\"petalLength\", c=\"species\")\n", "```\n", "\n", "Dieser Ansatz bietet den Vorteil, dass verfügbare Plott-Typen über die Tabulatorvervollständigung untersucht werden können. Die einzelnen Funktionen bieten auch eine detailliertere Dokumentation der für jede Methode verfügbaren Argumente." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Diagrammtypen\n", "\n", "Die `vgplot`-API stellt neun grundlegende Diagrammtypen bereit:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Liniendiagramme mit `vgplot.line`\n", "\n", "Der Standard-Diagrammtyp für `vgplot` ist ein Liniendiagramm.\n", "\n", "Sofern nichts anders angegeben ist, wird der Index von `DataFrame` oder `Series` als x-Achsenvariable verwendet, und eine separate Linie für die y-Werte jeder Spalte des `DataFrame`. Wenn Sie ihr nur eine Teilmenge der Spalten plotten lassen möchtet, könnt ihr mithilfe der pandas-Indizierung die Spalten auswählen, an denen ihr interessiert seid:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n" ] }, "metadata": { "jupyter-vega3": "#cfb3a69b-e298-4485-add6-eeec30929afe" }, "output_type": "display_data" }, { "data": { "application/javascript": [ "var spec = {\"mark\": \"line\", \"encoding\": {\"x\": {\"field\": \"date\", \"type\": \"temporal\"}, \"y\": {\"field\": \"value\", \"type\": \"quantitative\"}, \"color\": {\"field\": \"variable\", \"type\": \"nominal\"}}, \"$schema\": \"https://vega.github.io/schema/vega-lite/v2.json\", \"width\": 450, \"height\": 300, \"selection\": {\"grid\": {\"type\": \"interval\", \"bind\": \"scales\"}}, \"data\": {\"values\": [{\"date\": \"2000-01-01\", \"variable\": \"AAPL\", \"value\": 25.94}, {\"date\": \"2000-02-01\", \"variable\": \"AAPL\", \"value\": 28.66}, {\"date\": \"2000-03-01\", \"variable\": \"AAPL\", \"value\": 33.95}, {\"date\": \"2000-04-01\", \"variable\": \"AAPL\", \"value\": 31.01}, {\"date\": \"2000-05-01\", \"variable\": \"AAPL\", \"value\": 21.0}, {\"date\": \"2000-06-01\", \"variable\": \"AAPL\", \"value\": 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\"variable\": \"AMZN\", \"value\": 73.44}, {\"date\": \"2009-04-01\", \"variable\": \"AMZN\", \"value\": 80.52}, {\"date\": \"2009-05-01\", \"variable\": \"AMZN\", \"value\": 77.99}, {\"date\": \"2009-06-01\", \"variable\": \"AMZN\", \"value\": 83.66}, {\"date\": \"2009-07-01\", \"variable\": \"AMZN\", \"value\": 85.76}, {\"date\": \"2009-08-01\", \"variable\": \"AMZN\", \"value\": 81.19}, {\"date\": \"2009-09-01\", \"variable\": \"AMZN\", \"value\": 93.36}, {\"date\": \"2009-10-01\", \"variable\": \"AMZN\", \"value\": 118.81}, {\"date\": \"2009-11-01\", \"variable\": \"AMZN\", \"value\": 135.91}, {\"date\": \"2009-12-01\", \"variable\": \"AMZN\", \"value\": 134.52}, {\"date\": \"2010-01-01\", \"variable\": \"AMZN\", \"value\": 125.41}, {\"date\": \"2010-02-01\", \"variable\": \"AMZN\", \"value\": 118.4}, {\"date\": \"2010-03-01\", \"variable\": \"AMZN\", \"value\": 128.82}]}};\n", "var opt = {};\n", "var selector = \"#cfb3a69b-e298-4485-add6-eeec30929afe\";\n", "var type = \"vega-lite\";\n", "\n", "var output_area = this;\n", "\n", "require(['nbextensions/jupyter-vega3/index'], function(vega) {\n", " vega.render(selector, spec, type, opt, output_area);\n", "}, function (err) {\n", " if (err.requireType !== 'scripterror') {\n", " throw(err);\n", " }\n", "});\n" ] }, "metadata": { "jupyter-vega3": "#cfb3a69b-e298-4485-add6-eeec30929afe" }, "output_type": "display_data" }, { "data": { "image/png": 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" }, "metadata": { "jupyter-vega3": "#cfb3a69b-e298-4485-add6-eeec30929afe" }, "output_type": "display_data" } ], "source": [ "stocks[['AAPL', 'AMZN']].vgplot.line()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Liniendiagramme können weiter angepasst werden. Informationen hierzu findet ihr in der Dokumentation:\n", "\n", "* [pdvega.FramePlotMethods.line()](https://altair-viz.github.io/pdvega/API.html#pdvega.FramePlotMethods.line)\n", "* [pdvega.SeriesPlotMethods.line()](https://altair-viz.github.io/pdvega/API.html#pdvega.SeriesPlotMethods.line)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Streudiagramme mit `vgplot.scatter`" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n" ] }, "metadata": { "jupyter-vega3": "#4199f95b-b6bb-41e3-bbcd-e336a14658af" }, "output_type": "display_data" }, { "data": { "application/javascript": [ "var spec = {\"mark\": \"circle\", \"encoding\": {\"x\": {\"field\": \"AAPL\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"AMZN\", \"type\": \"quantitative\"}}, \"$schema\": \"https://vega.github.io/schema/vega-lite/v2.json\", \"width\": 450, \"height\": 300, \"selection\": {\"grid\": {\"type\": \"interval\", \"bind\": \"scales\"}}, \"data\": {\"values\": [{\"AAPL\": 25.94, \"AMZN\": 64.56}, {\"AAPL\": 28.66, \"AMZN\": 68.87}, {\"AAPL\": 33.95, \"AMZN\": 67.0}, {\"AAPL\": 31.01, \"AMZN\": 55.19}, {\"AAPL\": 21.0, \"AMZN\": 48.31}, {\"AAPL\": 26.19, \"AMZN\": 36.31}, {\"AAPL\": 25.41, \"AMZN\": 30.12}, {\"AAPL\": 30.47, \"AMZN\": 41.5}, {\"AAPL\": 12.88, \"AMZN\": 38.44}, {\"AAPL\": 9.78, \"AMZN\": 36.62}, {\"AAPL\": 8.25, \"AMZN\": 24.69}, {\"AAPL\": 7.44, \"AMZN\": 15.56}, {\"AAPL\": 10.81, \"AMZN\": 17.31}, 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{\"AAPL\": 125.02, \"AMZN\": 64.47}, {\"AAPL\": 143.5, \"AMZN\": 71.3}, {\"AAPL\": 173.95, \"AMZN\": 78.63}, {\"AAPL\": 188.75, \"AMZN\": 81.62}, {\"AAPL\": 167.44, \"AMZN\": 73.33}, {\"AAPL\": 158.95, \"AMZN\": 76.34}, {\"AAPL\": 169.53, \"AMZN\": 80.81}, {\"AAPL\": 113.66, \"AMZN\": 72.76}, {\"AAPL\": 107.59, \"AMZN\": 57.24}, {\"AAPL\": 92.67, \"AMZN\": 42.7}, {\"AAPL\": 85.35, \"AMZN\": 51.28}, {\"AAPL\": 90.13, \"AMZN\": 58.82}, {\"AAPL\": 89.31, \"AMZN\": 64.79}, {\"AAPL\": 105.12, \"AMZN\": 73.44}, {\"AAPL\": 125.83, \"AMZN\": 80.52}, {\"AAPL\": 135.81, \"AMZN\": 77.99}, {\"AAPL\": 142.43, \"AMZN\": 83.66}, {\"AAPL\": 163.39, \"AMZN\": 85.76}, {\"AAPL\": 168.21, \"AMZN\": 81.19}, {\"AAPL\": 185.35, \"AMZN\": 93.36}, {\"AAPL\": 188.5, \"AMZN\": 118.81}, {\"AAPL\": 199.91, \"AMZN\": 135.91}, {\"AAPL\": 210.73, \"AMZN\": 134.52}, {\"AAPL\": 192.06, \"AMZN\": 125.41}, {\"AAPL\": 204.62, \"AMZN\": 118.4}, {\"AAPL\": 223.02, \"AMZN\": 128.82}]}};\n", "var opt = {};\n", "var selector = \"#4199f95b-b6bb-41e3-bbcd-e336a14658af\";\n", "var type = \"vega-lite\";\n", "\n", "var output_area = this;\n", "\n", "require(['nbextensions/jupyter-vega3/index'], function(vega) {\n", " vega.render(selector, spec, type, opt, output_area);\n", "}, function (err) {\n", " if (err.requireType !== 'scripterror') {\n", " throw(err);\n", " }\n", "});\n" ] }, "metadata": { "jupyter-vega3": "#4199f95b-b6bb-41e3-bbcd-e336a14658af" }, "output_type": "display_data" }, { "data": { "image/png": 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" }, "metadata": { "jupyter-vega3": "#4199f95b-b6bb-41e3-bbcd-e336a14658af" }, "output_type": "display_data" } ], "source": [ "stocks.vgplot.scatter(x=\"AAPL\", y=\"AMZN\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Um Streudiagramme weiter anzupassen, schaut euch [pdvega.FramePlotMethods.scatter()](https://altair-viz.github.io/pdvega/API.html#pdvega.FramePlotMethods.scatter) an." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Flächendiagramme mit `vgplot.area`" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n" ] }, "metadata": { "jupyter-vega3": "#4bd071c2-d852-4434-b5dc-8cda3ba86e35" }, "output_type": "display_data" }, { "data": { "application/javascript": [ "var spec = {\"mark\": \"area\", \"encoding\": {\"x\": {\"field\": \"date\", \"type\": \"temporal\"}, \"y\": {\"field\": \"value\", \"type\": \"quantitative\", \"stack\": \"zero\"}, \"color\": {\"field\": \"variable\", \"type\": \"nominal\"}}, \"$schema\": \"https://vega.github.io/schema/vega-lite/v2.json\", \"width\": 450, \"height\": 300, \"selection\": {\"grid\": {\"type\": \"interval\", \"bind\": \"scales\"}}, \"data\": {\"values\": [{\"date\": \"2000-01-01\", \"variable\": \"MSFT\", \"value\": 39.81}, {\"date\": \"2000-02-01\", \"variable\": \"MSFT\", \"value\": 36.35}, {\"date\": \"2000-03-01\", \"variable\": \"MSFT\", \"value\": 43.22}, {\"date\": \"2000-04-01\", \"variable\": \"MSFT\", \"value\": 28.37}, {\"date\": \"2000-05-01\", \"variable\": \"MSFT\", \"value\": 25.45}, {\"date\": \"2000-06-01\", \"variable\": \"MSFT\", \"value\": 32.54}, {\"date\": \"2000-07-01\", \"variable\": \"MSFT\", \"value\": 28.4}, {\"date\": \"2000-08-01\", \"variable\": \"MSFT\", \"value\": 28.4}, {\"date\": \"2000-09-01\", \"variable\": \"MSFT\", \"value\": 24.53}, {\"date\": \"2000-10-01\", \"variable\": \"MSFT\", \"value\": 28.02}, {\"date\": \"2000-11-01\", \"variable\": \"MSFT\", \"value\": 23.34}, {\"date\": \"2000-12-01\", \"variable\": \"MSFT\", \"value\": 17.65}, {\"date\": \"2001-01-01\", \"variable\": \"MSFT\", \"value\": 24.84}, {\"date\": \"2001-02-01\", \"variable\": \"MSFT\", \"value\": 24.0}, {\"date\": \"2001-03-01\", \"variable\": \"MSFT\", \"value\": 22.25}, {\"date\": \"2001-04-01\", \"variable\": \"MSFT\", \"value\": 27.56}, {\"date\": \"2001-05-01\", \"variable\": \"MSFT\", \"value\": 28.14}, {\"date\": \"2001-06-01\", \"variable\": \"MSFT\", \"value\": 29.7}, {\"date\": \"2001-07-01\", \"variable\": \"MSFT\", \"value\": 26.93}, {\"date\": \"2001-08-01\", \"variable\": \"MSFT\", \"value\": 23.21}, {\"date\": \"2001-09-01\", \"variable\": \"MSFT\", \"value\": 20.82}, {\"date\": \"2001-10-01\", \"variable\": \"MSFT\", \"value\": 23.65}, {\"date\": \"2001-11-01\", \"variable\": \"MSFT\", \"value\": 26.12}, {\"date\": \"2001-12-01\", \"variable\": \"MSFT\", \"value\": 26.95}, {\"date\": \"2002-01-01\", \"variable\": \"MSFT\", \"value\": 25.92}, {\"date\": \"2002-02-01\", \"variable\": \"MSFT\", \"value\": 23.73}, {\"date\": \"2002-03-01\", \"variable\": \"MSFT\", \"value\": 24.53}, {\"date\": \"2002-04-01\", \"variable\": \"MSFT\", \"value\": 21.26}, {\"date\": \"2002-05-01\", \"variable\": \"MSFT\", \"value\": 20.71}, {\"date\": \"2002-06-01\", \"variable\": \"MSFT\", \"value\": 22.25}, {\"date\": \"2002-07-01\", \"variable\": \"MSFT\", \"value\": 19.52}, {\"date\": \"2002-08-01\", \"variable\": \"MSFT\", \"value\": 19.97}, {\"date\": \"2002-09-01\", \"variable\": \"MSFT\", \"value\": 17.79}, {\"date\": \"2002-10-01\", \"variable\": \"MSFT\", \"value\": 21.75}, {\"date\": \"2002-11-01\", \"variable\": \"MSFT\", \"value\": 23.46}, {\"date\": \"2002-12-01\", \"variable\": \"MSFT\", \"value\": 21.03}, {\"date\": \"2003-01-01\", \"variable\": \"MSFT\", \"value\": 19.31}, {\"date\": \"2003-02-01\", \"variable\": \"MSFT\", \"value\": 19.34}, {\"date\": \"2003-03-01\", \"variable\": \"MSFT\", \"value\": 19.76}, {\"date\": \"2003-04-01\", \"variable\": \"MSFT\", \"value\": 20.87}, {\"date\": \"2003-05-01\", \"variable\": \"MSFT\", \"value\": 20.09}, {\"date\": \"2003-06-01\", \"variable\": \"MSFT\", \"value\": 20.93}, {\"date\": \"2003-07-01\", \"variable\": \"MSFT\", \"value\": 21.56}, {\"date\": \"2003-08-01\", \"variable\": \"MSFT\", \"value\": 21.65}, {\"date\": \"2003-09-01\", \"variable\": \"MSFT\", \"value\": 22.69}, {\"date\": \"2003-10-01\", \"variable\": \"MSFT\", \"value\": 21.45}, {\"date\": \"2003-11-01\", \"variable\": \"MSFT\", \"value\": 21.1}, {\"date\": \"2003-12-01\", \"variable\": \"MSFT\", \"value\": 22.46}, {\"date\": \"2004-01-01\", \"variable\": \"MSFT\", \"value\": 22.69}, {\"date\": \"2004-02-01\", \"variable\": \"MSFT\", \"value\": 21.77}, {\"date\": \"2004-03-01\", \"variable\": \"MSFT\", \"value\": 20.46}, {\"date\": \"2004-04-01\", \"variable\": \"MSFT\", \"value\": 21.45}, {\"date\": \"2004-05-01\", \"variable\": \"MSFT\", \"value\": 21.53}, {\"date\": \"2004-06-01\", \"variable\": \"MSFT\", \"value\": 23.44}, {\"date\": \"2004-07-01\", \"variable\": \"MSFT\", \"value\": 23.38}, {\"date\": \"2004-08-01\", \"variable\": \"MSFT\", \"value\": 22.47}, {\"date\": \"2004-09-01\", \"variable\": \"MSFT\", \"value\": 22.76}, {\"date\": \"2004-10-01\", \"variable\": \"MSFT\", \"value\": 23.02}, {\"date\": \"2004-11-01\", \"variable\": \"MSFT\", \"value\": 24.6}, {\"date\": \"2004-12-01\", \"variable\": \"MSFT\", \"value\": 24.52}, {\"date\": \"2005-01-01\", \"variable\": \"MSFT\", \"value\": 24.11}, {\"date\": \"2005-02-01\", \"variable\": \"MSFT\", \"value\": 23.15}, {\"date\": \"2005-03-01\", \"variable\": \"MSFT\", \"value\": 22.24}, {\"date\": \"2005-04-01\", \"variable\": \"MSFT\", \"value\": 23.28}, {\"date\": \"2005-05-01\", \"variable\": \"MSFT\", \"value\": 23.82}, {\"date\": \"2005-06-01\", \"variable\": \"MSFT\", \"value\": 22.93}, {\"date\": \"2005-07-01\", \"variable\": \"MSFT\", \"value\": 23.64}, {\"date\": \"2005-08-01\", \"variable\": \"MSFT\", \"value\": 25.35}, {\"date\": \"2005-09-01\", \"variable\": \"MSFT\", \"value\": 23.83}, {\"date\": \"2005-10-01\", \"variable\": \"MSFT\", \"value\": 23.8}, {\"date\": \"2005-11-01\", \"variable\": \"MSFT\", \"value\": 25.71}, {\"date\": \"2005-12-01\", \"variable\": \"MSFT\", \"value\": 24.29}, {\"date\": \"2006-01-01\", \"variable\": \"MSFT\", \"value\": 26.14}, {\"date\": \"2006-02-01\", \"variable\": \"MSFT\", \"value\": 25.04}, {\"date\": \"2006-03-01\", \"variable\": \"MSFT\", \"value\": 25.36}, {\"date\": \"2006-04-01\", \"variable\": \"MSFT\", \"value\": 22.5}, {\"date\": \"2006-05-01\", \"variable\": \"MSFT\", \"value\": 21.19}, {\"date\": \"2006-06-01\", \"variable\": \"MSFT\", \"value\": 21.8}, {\"date\": \"2006-07-01\", \"variable\": \"MSFT\", \"value\": 22.51}, {\"date\": \"2006-08-01\", \"variable\": \"MSFT\", \"value\": 24.13}, {\"date\": \"2006-09-01\", \"variable\": \"MSFT\", \"value\": 25.68}, {\"date\": \"2006-10-01\", \"variable\": \"MSFT\", \"value\": 26.96}, {\"date\": \"2006-11-01\", \"variable\": \"MSFT\", \"value\": 27.66}, {\"date\": \"2006-12-01\", \"variable\": \"MSFT\", \"value\": 28.13}, {\"date\": \"2007-01-01\", \"variable\": \"MSFT\", \"value\": 29.07}, {\"date\": \"2007-02-01\", \"variable\": \"MSFT\", \"value\": 26.63}, {\"date\": \"2007-03-01\", \"variable\": \"MSFT\", \"value\": 26.35}, {\"date\": \"2007-04-01\", \"variable\": \"MSFT\", \"value\": 28.3}, {\"date\": \"2007-05-01\", \"variable\": \"MSFT\", \"value\": 29.11}, {\"date\": \"2007-06-01\", \"variable\": \"MSFT\", \"value\": 27.95}, {\"date\": \"2007-07-01\", \"variable\": \"MSFT\", \"value\": 27.5}, {\"date\": \"2007-08-01\", \"variable\": \"MSFT\", \"value\": 27.34}, {\"date\": \"2007-09-01\", \"variable\": \"MSFT\", \"value\": 28.04}, {\"date\": \"2007-10-01\", \"variable\": \"MSFT\", \"value\": 35.03}, {\"date\": \"2007-11-01\", \"variable\": \"MSFT\", \"value\": 32.09}, {\"date\": \"2007-12-01\", \"variable\": \"MSFT\", \"value\": 34.0}, {\"date\": \"2008-01-01\", \"variable\": \"MSFT\", \"value\": 31.13}, {\"date\": \"2008-02-01\", \"variable\": \"MSFT\", \"value\": 26.07}, {\"date\": \"2008-03-01\", \"variable\": \"MSFT\", \"value\": 27.21}, {\"date\": \"2008-04-01\", \"variable\": \"MSFT\", \"value\": 27.34}, {\"date\": \"2008-05-01\", \"variable\": \"MSFT\", \"value\": 27.25}, {\"date\": \"2008-06-01\", \"variable\": \"MSFT\", \"value\": 26.47}, {\"date\": \"2008-07-01\", \"variable\": \"MSFT\", \"value\": 24.75}, {\"date\": \"2008-08-01\", \"variable\": \"MSFT\", \"value\": 26.36}, {\"date\": \"2008-09-01\", \"variable\": \"MSFT\", \"value\": 25.78}, {\"date\": \"2008-10-01\", 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\"AMZN\", \"value\": 81.19}, {\"date\": \"2009-09-01\", \"variable\": \"AMZN\", \"value\": 93.36}, {\"date\": \"2009-10-01\", \"variable\": \"AMZN\", \"value\": 118.81}, {\"date\": \"2009-11-01\", \"variable\": \"AMZN\", \"value\": 135.91}, {\"date\": \"2009-12-01\", \"variable\": \"AMZN\", \"value\": 134.52}, {\"date\": \"2010-01-01\", \"variable\": \"AMZN\", \"value\": 125.41}, {\"date\": \"2010-02-01\", \"variable\": \"AMZN\", \"value\": 118.4}, {\"date\": \"2010-03-01\", \"variable\": \"AMZN\", \"value\": 128.82}]}};\n", "var opt = {};\n", "var selector = \"#4bd071c2-d852-4434-b5dc-8cda3ba86e35\";\n", "var type = \"vega-lite\";\n", "\n", "var output_area = this;\n", "\n", "require(['nbextensions/jupyter-vega3/index'], function(vega) {\n", " vega.render(selector, spec, type, opt, output_area);\n", "}, function (err) {\n", " if (err.requireType !== 'scripterror') {\n", " throw(err);\n", " }\n", "});\n" ] }, "metadata": { "jupyter-vega3": "#4bd071c2-d852-4434-b5dc-8cda3ba86e35" }, "output_type": "display_data" }, { "data": { "image/png": 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" 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In diesem Fall sind transparente Flächen häufig hilfreich." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" }, "metadata": { "jupyter-vega3": "#e3e20e98-b9f8-4a60-8723-c5552968aa89" }, "output_type": "display_data" } ], "source": [ "stocks[[\"MSFT\", \"AAPL\", \"AMZN\"]].vgplot.area(stacked=False, alpha=0.4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Flächendiagramme können weiter angepasst werden, siehe\n", "\n", "* [pdvega.FramePlotMethods.area()](https://altair-viz.github.io/pdvega/API.html#pdvega.FramePlotMethods.area)\n", "* [pdvega.SeriesPlotMethods.area()](https://altair-viz.github.io/pdvega/API.html#pdvega.SeriesPlotMethods.area)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Balkendiagramme mit `vgplot.bar`" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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\"variable\": \"a\", \"value\": 0.35781726995786667}, {\"index\": 6, \"variable\": \"a\", \"value\": 0.6834629351721363}, {\"index\": 7, \"variable\": \"a\", \"value\": 0.37025075479039493}, {\"index\": 8, \"variable\": \"a\", \"value\": 0.5030831653078097}, {\"index\": 9, \"variable\": \"a\", \"value\": 0.772826621612374}, {\"index\": 0, \"variable\": \"b\", \"value\": 0.6221087710398319}, {\"index\": 1, \"variable\": \"b\", \"value\": 0.7853585837137692}, {\"index\": 2, \"variable\": \"b\", \"value\": 0.2725926052826416}, {\"index\": 3, \"variable\": \"b\", \"value\": 0.8018721775350193}, {\"index\": 4, \"variable\": \"b\", \"value\": 0.8759326347420947}, {\"index\": 5, \"variable\": \"b\", \"value\": 0.5009951255234587}, {\"index\": 6, \"variable\": \"b\", \"value\": 0.7127020269829002}, {\"index\": 7, \"variable\": \"b\", \"value\": 0.5611961860656249}, {\"index\": 8, \"variable\": \"b\", \"value\": 0.013768449590682241}, {\"index\": 9, \"variable\": \"b\", \"value\": 0.8826411906361166}]}};\n", "var opt = {};\n", "var selector = \"#e30a6424-594e-4e81-8305-38d9b45dd1a7\";\n", "var type = \"vega-lite\";\n", "\n", "var output_area = this;\n", "\n", "require(['nbextensions/jupyter-vega3/index'], function(vega) {\n", " vega.render(selector, spec, type, opt, output_area);\n", "}, function (err) {\n", " if (err.requireType !== 'scripterror') {\n", " throw(err);\n", " }\n", "});\n" ] }, "metadata": { "jupyter-vega3": "#e30a6424-594e-4e81-8305-38d9b45dd1a7" }, "output_type": "display_data" }, { "data": { "image/png": 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" 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0.35781726995786667}, {\"index\": 6, \"variable\": \"a\", \"value\": 0.6834629351721363}, {\"index\": 7, \"variable\": \"a\", \"value\": 0.37025075479039493}, {\"index\": 8, \"variable\": \"a\", \"value\": 0.5030831653078097}, {\"index\": 9, \"variable\": \"a\", \"value\": 0.772826621612374}, {\"index\": 0, \"variable\": \"b\", \"value\": 0.6221087710398319}, {\"index\": 1, \"variable\": \"b\", \"value\": 0.7853585837137692}, {\"index\": 2, \"variable\": \"b\", \"value\": 0.2725926052826416}, {\"index\": 3, \"variable\": \"b\", \"value\": 0.8018721775350193}, {\"index\": 4, \"variable\": \"b\", \"value\": 0.8759326347420947}, {\"index\": 5, \"variable\": \"b\", \"value\": 0.5009951255234587}, {\"index\": 6, \"variable\": \"b\", \"value\": 0.7127020269829002}, {\"index\": 7, \"variable\": \"b\", \"value\": 0.5611961860656249}, {\"index\": 8, \"variable\": \"b\", \"value\": 0.013768449590682241}, {\"index\": 9, \"variable\": \"b\", \"value\": 0.8826411906361166}]}};\n", "var opt = {};\n", "var selector = \"#5080dd79-9124-4aed-8eb7-b1cfaa3023f2\";\n", "var type = \"vega-lite\";\n", "\n", "var output_area = this;\n", "\n", "require(['nbextensions/jupyter-vega3/index'], function(vega) {\n", " vega.render(selector, spec, type, opt, output_area);\n", "}, function (err) {\n", " if (err.requireType !== 'scripterror') {\n", " throw(err);\n", " }\n", "});\n" ] }, "metadata": { "jupyter-vega3": "#5080dd79-9124-4aed-8eb7-b1cfaa3023f2" }, "output_type": "display_data" }, { "data": { "image/png": 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" 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0.35781726995786667}, {\"index\": 6, \"variable\": \"a\", \"value\": 0.6834629351721363}, {\"index\": 7, \"variable\": \"a\", \"value\": 0.37025075479039493}, {\"index\": 8, \"variable\": \"a\", \"value\": 0.5030831653078097}, {\"index\": 9, \"variable\": \"a\", \"value\": 0.772826621612374}, {\"index\": 0, \"variable\": \"b\", \"value\": 0.6221087710398319}, {\"index\": 1, \"variable\": \"b\", \"value\": 0.7853585837137692}, {\"index\": 2, \"variable\": \"b\", \"value\": 0.2725926052826416}, {\"index\": 3, \"variable\": \"b\", \"value\": 0.8018721775350193}, {\"index\": 4, \"variable\": \"b\", \"value\": 0.8759326347420947}, {\"index\": 5, \"variable\": \"b\", \"value\": 0.5009951255234587}, {\"index\": 6, \"variable\": \"b\", \"value\": 0.7127020269829002}, {\"index\": 7, \"variable\": \"b\", \"value\": 0.5611961860656249}, {\"index\": 8, \"variable\": \"b\", \"value\": 0.013768449590682241}, {\"index\": 9, \"variable\": \"b\", \"value\": 0.8826411906361166}]}};\n", "var opt = {};\n", "var selector = \"#bf5458a9-3fb2-4de3-99ec-36661229e3dd\";\n", "var type = \"vega-lite\";\n", "\n", "var output_area = this;\n", "\n", "require(['nbextensions/jupyter-vega3/index'], function(vega) {\n", " vega.render(selector, spec, type, opt, output_area);\n", "}, function (err) {\n", " if (err.requireType !== 'scripterror') {\n", " throw(err);\n", " }\n", "});\n" ] }, "metadata": { "jupyter-vega3": "#bf5458a9-3fb2-4de3-99ec-36661229e3dd" }, "output_type": "display_data" }, { "data": { "image/png": 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"\n", "require(['nbextensions/jupyter-vega3/index'], function(vega) {\n", " vega.render(selector, spec, type, opt, output_area);\n", "}, function (err) {\n", " if (err.requireType !== 'scripterror') {\n", " throw(err);\n", " }\n", "});\n" ] }, "metadata": { "jupyter-vega3": "#c5937265-98b7-4b8f-9a4c-d3dac7e5df83" }, "output_type": "display_data" }, { "data": { "image/png": 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" }, "metadata": { "jupyter-vega3": "#c5937265-98b7-4b8f-9a4c-d3dac7e5df83" }, "output_type": "display_data" } ], "source": [ "df = pd.DataFrame(\n", " {\n", " \"a\": np.random.randn(1000) + 1,\n", " \"b\": np.random.randn(1000),\n", " \"c\": np.random.randn(1000) - 1,\n", " },\n", " columns=[\"a\", \"b\", \"c\"],\n", ")\n", "\n", "df.vgplot.hist(bins=50, alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Histogramme können weiter angepasst werden, siehe\n", "\n", "* [pdvega.FramePlotMethods.hist()](https://altair-viz.github.io/pdvega/API.html#pdvega.FramePlotMethods.hist)\n", "* [pdvega.SeriesPlotMethods.hist()](https://altair-viz.github.io/pdvega/API.html#pdvega.SeriesPlotMethods.hist)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Kerndichteschätzdiagramme mit `vgplot.kde`\n", "\n", "[Kerndichteschätzdiagramme](https://de.wikipedia.org/wiki/Kerndichtesch%C3%A4tzer) (englisch *kernel density estimation*, KDE) erzeugen ähnlich wie Histogramme glatte Kurven, die die Dichte der Messpunkte angeben. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" }, "metadata": { "jupyter-vega3": "#6bffdc35-3cf9-41ff-83fa-a3e8dbb05d90" }, "output_type": "display_data" } ], "source": [ "df.vgplot.kde()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "KDE-Diagramme können weiter angepasst werden mit\n", "\n", "* [pdvega.FramePlotMethods.kde()](https://altair-viz.github.io/pdvega/API.html#pdvega.FramePlotMethods.kde)\n", "* [pdvega.SeriesPlotMethods.kde()](https://altair-viz.github.io/pdvega/API.html#pdvega.SeriesPlotMethods.kde)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Heatmaps mit `vgplot.heatmap`\n", "\n", "pandas-Plotting hat eine Funktion zum Erstellen einer hexagonal-gruppierten Heatmap zweidimensionaler Daten. Leider unterstützt derzeit weder Vega noch Vega-Lite diese hexagonalen Heatmaps. Sie unterstützen jedoch kartesische Heatmaps,und diese Funktionalität ist auch enthalten in `pdvega`:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" }, "metadata": { "jupyter-vega3": "#392cdfac-ac33-4b15-9d27-7f13c9a93ecc" }, "output_type": "display_data" } ], "source": [ "df.vgplot.heatmap(x=\"a\", y=\"b\", C=\"c\", gridsize=20)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Heatmap-Diagramme können weiter angepasst werden, siehe [pdvega.FramePlotMethods.heatmap()](https://altair-viz.github.io/pdvega/API.html#pdvega.FramePlotMethods.heatmap)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Statistische Visualisierung mit `pdvega.plotting`\n", "\n", "\n", "`pdvega`unterstützt auch viele der komplexeren Plot-Routinen, die im [pandas.plotting](https://pandas.pydata.org/pandas-docs/stable/user_guide/visualization.html#plotting-tools)-Submodul verfügbar sind. Im Folgenden zeigen wir das Beispieleiner Multi-Panel-Streudiagramm-Matrix aus [Fisher’s Iris](https://en.wikipedia.org/wiki/Iris_flower_data_set)-Datensatz:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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\"petalLength\": 5.1, \"petalWidth\": 1.9, \"species\": \"virginica\"}, {\"sepalLength\": 6.8, \"sepalWidth\": 3.2, \"petalLength\": 5.9, \"petalWidth\": 2.3, \"species\": \"virginica\"}, {\"sepalLength\": 6.7, \"sepalWidth\": 3.3, \"petalLength\": 5.7, \"petalWidth\": 2.5, \"species\": \"virginica\"}, {\"sepalLength\": 6.7, \"sepalWidth\": 3.0, \"petalLength\": 5.2, \"petalWidth\": 2.3, \"species\": \"virginica\"}, {\"sepalLength\": 6.3, \"sepalWidth\": 2.5, \"petalLength\": 5.0, \"petalWidth\": 1.9, \"species\": \"virginica\"}, {\"sepalLength\": 6.5, \"sepalWidth\": 3.0, \"petalLength\": 5.2, \"petalWidth\": 2.0, \"species\": \"virginica\"}, {\"sepalLength\": 6.2, \"sepalWidth\": 3.4, \"petalLength\": 5.4, \"petalWidth\": 2.3, \"species\": \"virginica\"}, {\"sepalLength\": 5.9, \"sepalWidth\": 3.0, \"petalLength\": 5.1, \"petalWidth\": 1.8, \"species\": \"virginica\"}]}};\n", "var opt = {};\n", "var selector = \"#7eeef923-b9d5-49d7-87d9-019e949cae80\";\n", "var type = \"vega-lite\";\n", "\n", "var output_area = this;\n", "\n", "require(['nbextensions/jupyter-vega3/index'], function(vega) {\n", " vega.render(selector, spec, type, opt, output_area);\n", "}, function (err) {\n", " if (err.requireType !== 'scripterror') {\n", " throw(err);\n", " }\n", "});\n" ] }, "metadata": { "jupyter-vega3": "#7eeef923-b9d5-49d7-87d9-019e949cae80" }, "output_type": "display_data" }, { "data": { "image/png": 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" }, "metadata": { "jupyter-vega3": "#7eeef923-b9d5-49d7-87d9-019e949cae80" }, "output_type": "display_data" } ], "source": [ "iris = data.iris()\n", "pdvega.scatter_matrix(iris, \"species\", figsize=(7, 7))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In diesem Diagramm könnt ihr interaktiv Verschieben und Verkleinern/Vergrößern. Mit gedrückter Umschalttaste könnt ihr auch einzelne Messpunkte auswählen. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parallele Koordinaten\n", "\n", "Eine andere Möglichkeit, mehrdimensionale Daten zu visualisieren, besteht darin, jede Dimension unabhängig voneinander mithilfe eines Diagramms mit parallelen Koordinaten zu betrachten. Dies kann mit `pdvega.parallel_coordinates()` realisiert werden, wobei die API `pandas.plotting.parallel_coordinates()` entspricht:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n" ] }, "metadata": { "jupyter-vega3": "#2cf8b333-035f-4598-b12a-6187c0c4c2e2" }, "output_type": "display_data" }, { "data": { "application/javascript": [ "var spec = {\"mark\": \"line\", \"encoding\": {\"color\": {\"field\": \"species\", \"type\": \"nominal\"}, \"detail\": {\"field\": \"index\", \"type\": \"quantitative\"}, \"x\": {\"field\": \"variable\", \"type\": \"nominal\"}, \"y\": {\"field\": \"value\", \"type\": \"quantitative\"}}, \"$schema\": \"https://vega.github.io/schema/vega-lite/v2.json\", \"width\": 450, \"height\": 300, \"selection\": {\"grid\": {\"type\": \"interval\", \"bind\": \"scales\"}}, \"data\": {\"values\": [{\"index\": 0, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.1}, {\"index\": 1, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 4.9}, {\"index\": 2, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 4.7}, {\"index\": 3, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 4.6}, {\"index\": 4, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.0}, {\"index\": 5, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.4}, {\"index\": 6, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 4.6}, {\"index\": 7, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.0}, {\"index\": 8, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 4.4}, {\"index\": 9, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 4.9}, {\"index\": 10, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.4}, {\"index\": 11, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 4.8}, {\"index\": 12, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 4.8}, {\"index\": 13, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 4.3}, {\"index\": 14, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.8}, {\"index\": 15, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.7}, {\"index\": 16, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.4}, {\"index\": 17, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.1}, {\"index\": 18, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.7}, {\"index\": 19, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.1}, {\"index\": 20, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.4}, {\"index\": 21, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.1}, {\"index\": 22, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 4.6}, {\"index\": 23, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.1}, {\"index\": 24, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 4.8}, {\"index\": 25, \"species\": \"setosa\", \"variable\": \"sepalLength\", \"value\": 5.0}, {\"index\": 26, \"species\": 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{\"index\": 141, \"species\": \"virginica\", \"variable\": \"petalWidth\", \"value\": 2.3}, {\"index\": 142, \"species\": \"virginica\", \"variable\": \"petalWidth\", \"value\": 1.9}, {\"index\": 143, \"species\": \"virginica\", \"variable\": \"petalWidth\", \"value\": 2.3}, {\"index\": 144, \"species\": \"virginica\", \"variable\": \"petalWidth\", \"value\": 2.5}, {\"index\": 145, \"species\": \"virginica\", \"variable\": \"petalWidth\", \"value\": 2.3}, {\"index\": 146, \"species\": \"virginica\", \"variable\": \"petalWidth\", \"value\": 1.9}, {\"index\": 147, \"species\": \"virginica\", \"variable\": \"petalWidth\", \"value\": 2.0}, {\"index\": 148, \"species\": \"virginica\", \"variable\": \"petalWidth\", \"value\": 2.3}, {\"index\": 149, \"species\": \"virginica\", \"variable\": \"petalWidth\", \"value\": 1.8}]}};\n", "var opt = {};\n", "var selector = \"#2cf8b333-035f-4598-b12a-6187c0c4c2e2\";\n", "var type = \"vega-lite\";\n", "\n", "var output_area = this;\n", "\n", "require(['nbextensions/jupyter-vega3/index'], function(vega) {\n", " vega.render(selector, spec, type, opt, output_area);\n", "}, function (err) {\n", " if (err.requireType !== 'scripterror') {\n", " throw(err);\n", " }\n", "});\n" ] }, "metadata": { "jupyter-vega3": "#2cf8b333-035f-4598-b12a-6187c0c4c2e2" }, "output_type": "display_data" }, { "data": { "image/png": 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" }, "metadata": { "jupyter-vega3": "#2cf8b333-035f-4598-b12a-6187c0c4c2e2" }, "output_type": "display_data" } ], "source": [ "pdvega.parallel_coordinates(iris, \"species\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Auf einen Blick könnt ihr Beziehungen zwischen Punkten erkennen und insbesondere deutlich machen, dass sich die „setosa“-Art in Breite und Länge der Blütenblätter deutlich von den beiden anderen Arten unterscheidet." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Andrews-Kurven\n", "\n", "Ein ähnlicher Ansatz zur Visualisierung von Datendimensionen ist als *Andrews-Kurve* bekannt: Die Idee besteht darin, aus den Merkmalen jedes Objekts eine Fourier-Reihe zu konstruieren, um die aggregierten Unterschiede zwischen Klassen qualitativ zu visualisieren. Dies kann mit der Funktion `pdvega.andrews_curves()` erfolgen, die der API von `pandas.plotting.andrews_curves()` entspricht:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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\"virginica\"}, {\"t\": 174, \"sample\": 149, \" \": 2.6377484619358924, \"species\": \"virginica\"}, {\"t\": 175, \"sample\": 149, \" \": 2.46017371558121, \"species\": \"virginica\"}, {\"t\": 176, \"sample\": 149, \" \": 2.2914006995999747, \"species\": \"virginica\"}, {\"t\": 177, \"sample\": 149, \" \": 2.1315681884022055, \"species\": \"virginica\"}, {\"t\": 178, \"sample\": 149, \" \": 1.98078474405008, \"species\": \"virginica\"}, {\"t\": 179, \"sample\": 149, \" \": 1.8391288103949504, \"species\": \"virginica\"}, {\"t\": 180, \"sample\": 149, \" \": 1.7066489213392928, \"species\": \"virginica\"}, {\"t\": 181, \"sample\": 149, \" \": 1.5833640218741132, \"species\": \"virginica\"}, {\"t\": 182, \"sample\": 149, \" \": 1.469263900099101, \"species\": \"virginica\"}, {\"t\": 183, \"sample\": 149, \" \": 1.3643097279975505, \"species\": \"virginica\"}, {\"t\": 184, \"sample\": 149, \" \": 1.2684347083117926, \"species\": \"virginica\"}, {\"t\": 185, \"sample\": 149, \" \": 1.181544824450019, \"species\": \"virginica\"}, {\"t\": 186, \"sample\": 149, \" \": 1.1035196899530633, \"species\": \"virginica\"}, {\"t\": 187, \"sample\": 149, \" \": 1.0342134936616831, \"species\": \"virginica\"}, {\"t\": 188, \"sample\": 149, \" \": 0.9734560363529001, \"species\": \"virginica\"}, {\"t\": 189, \"sample\": 149, \" \": 0.921053854259064, \"species\": \"virginica\"}, {\"t\": 190, \"sample\": 149, \" \": 0.8767914245473528, \"species\": \"virginica\"}, {\"t\": 191, \"sample\": 149, \" \": 0.8404324475214294, \"species\": \"virginica\"}, {\"t\": 192, \"sample\": 149, \" \": 0.8117212000122518, \"species\": \"virginica\"}, {\"t\": 193, \"sample\": 149, \" \": 0.7903839541529702, \"species\": \"virginica\"}, {\"t\": 194, \"sample\": 149, \" \": 0.7761304554840778, \"species\": \"virginica\"}, {\"t\": 195, \"sample\": 149, \" \": 0.7686554541109833, \"species\": \"virginica\"}, {\"t\": 196, \"sample\": 149, \" \": 0.7676402824374033, \"species\": \"virginica\"}, {\"t\": 197, \"sample\": 149, \" \": 0.7727544728255133, \"species\": \"virginica\"}, {\"t\": 198, \"sample\": 149, \" \": 0.7836574083881329, \"species\": \"virginica\"}, {\"t\": 199, \"sample\": 149, \" \": 0.8000000000000003, \"species\": \"virginica\"}]}};\n", "var opt = {};\n", "var selector = \"#dedf88a4-0b0e-4b24-b855-88ffdb3d2598\";\n", "var type = \"vega-lite\";\n", "\n", "var output_area = this;\n", "\n", "require(['nbextensions/jupyter-vega3/index'], function(vega) {\n", " vega.render(selector, spec, type, opt, output_area);\n", "}, function (err) {\n", " if (err.requireType !== 'scripterror') {\n", " throw(err);\n", " }\n", "});\n" ] }, "metadata": { "jupyter-vega3": "#dedf88a4-0b0e-4b24-b855-88ffdb3d2598" }, "output_type": "display_data" }, { "data": { "image/png": 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" }, "metadata": { "jupyter-vega3": "#dedf88a4-0b0e-4b24-b855-88ffdb3d2598" }, "output_type": "display_data" } ], "source": [ "pdvega.andrews_curves(iris, \"species\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Dies ergibt einen ähnlichen Eindruck wie in der Darstellung der parallelen Koordinaten, gibt jedoch weniger quantitative Hinweise auf die Merkmale, die zu dieser Unterscheidung führen." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Korrelogramm (Lag-Plots)\n", "\n", "[Korrelogramme](https://de.wikipedia.org/wiki/Korrelogramm) sind implementiert mit `pdvega.plotting.lag_plot()` wobei die API `pandas.plotting.lag_plot()` entspricht. Im Folgenden werden die Aktienkurse von Amazon und Microsoft von 1998 bis 2010 mit einer Verzögerung von 12 Monaten visualisiert:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" }, "metadata": { "jupyter-vega3": "#61593bb8-5756-4b92-96fd-2dc5c1ce2d4b" }, "output_type": "display_data" } ], "source": [ "pdvega.lag_plot(stocks[[\"AMZN\", \"MSFT\"]], lag=12)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aus diesem Plot geht sofort hervor, dass Amazon in diesem Zeitraum weitaus volatiler war: Die Werte zeigten zu jedem Zeitpunkt nur eine sehr geringe Korrelation mit dem Wert ein Jahr später. Umgekehrt war der Wert von Microsoft in diesem Jahrzehnt sehr viel stabiler.\n", "\n", "Wir können diese Interpretation auch im einfachen Zeitreihendiagramm des Aktienkurses jedes Unternehmens sehen:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n" ] }, "metadata": { "jupyter-vega3": "#c0bb98f9-0e28-4407-8e43-c71d5411bb83" }, "output_type": "display_data" }, { "data": { "application/javascript": [ "var spec = {\"mark\": \"line\", \"encoding\": {\"x\": {\"field\": \"date\", \"type\": \"temporal\"}, \"y\": {\"field\": \"value\", \"type\": \"quantitative\"}, \"color\": {\"field\": \"variable\", \"type\": \"nominal\"}}, \"$schema\": \"https://vega.github.io/schema/vega-lite/v2.json\", \"width\": 450, \"height\": 300, \"selection\": {\"grid\": {\"type\": \"interval\", \"bind\": \"scales\"}}, \"data\": {\"values\": [{\"date\": \"2000-01-01\", \"variable\": \"AMZN\", \"value\": 64.56}, {\"date\": \"2000-02-01\", \"variable\": \"AMZN\", \"value\": 68.87}, {\"date\": \"2000-03-01\", \"variable\": \"AMZN\", \"value\": 67.0}, {\"date\": \"2000-04-01\", \"variable\": \"AMZN\", \"value\": 55.19}, {\"date\": \"2000-05-01\", \"variable\": \"AMZN\", \"value\": 48.31}, {\"date\": \"2000-06-01\", \"variable\": \"AMZN\", \"value\": 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\"MSFT\", \"value\": 17.99}, {\"date\": \"2009-04-01\", \"variable\": \"MSFT\", \"value\": 19.84}, {\"date\": \"2009-05-01\", \"variable\": \"MSFT\", \"value\": 20.59}, {\"date\": \"2009-06-01\", \"variable\": \"MSFT\", \"value\": 23.42}, {\"date\": \"2009-07-01\", \"variable\": \"MSFT\", \"value\": 23.18}, {\"date\": \"2009-08-01\", \"variable\": \"MSFT\", \"value\": 24.43}, {\"date\": \"2009-09-01\", \"variable\": \"MSFT\", \"value\": 25.49}, {\"date\": \"2009-10-01\", \"variable\": \"MSFT\", \"value\": 27.48}, {\"date\": \"2009-11-01\", \"variable\": \"MSFT\", \"value\": 29.27}, {\"date\": \"2009-12-01\", \"variable\": \"MSFT\", \"value\": 30.34}, {\"date\": \"2010-01-01\", \"variable\": \"MSFT\", \"value\": 28.05}, {\"date\": \"2010-02-01\", \"variable\": \"MSFT\", \"value\": 28.67}, {\"date\": \"2010-03-01\", \"variable\": \"MSFT\", \"value\": 28.8}]}};\n", "var opt = {};\n", "var selector = \"#c0bb98f9-0e28-4407-8e43-c71d5411bb83\";\n", "var type = \"vega-lite\";\n", "\n", "var output_area = this;\n", "\n", "require(['nbextensions/jupyter-vega3/index'], function(vega) {\n", " vega.render(selector, spec, type, opt, output_area);\n", "}, function (err) {\n", " if (err.requireType !== 'scripterror') {\n", " throw(err);\n", " }\n", "});\n" ] }, "metadata": { "jupyter-vega3": "#c0bb98f9-0e28-4407-8e43-c71d5411bb83" }, "output_type": "display_data" }, { "data": { "image/png": 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" }, "metadata": { "jupyter-vega3": "#c0bb98f9-0e28-4407-8e43-c71d5411bb83" }, "output_type": "display_data" } ], "source": [ "stocks[[\"AMZN\", \"MSFT\"]].vgplot.line()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "**Siehe auch:**\n", "\n", "* [Statistical Visualization with pdvega.plotting](https://altair-viz.github.io/pdvega/plotting.html#statistical-plotting)\n", "
" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.11 Kernel", "language": "python", "name": "python311" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.4" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }