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Last active Apr 30, 2017

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Violin/Box plots

A simple example of Violin/Box plots in d3js view at http://bl.ocks.org/z-m-k/5014368. Depending on resolution and type of interpolation you can obtain various effects.

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<!DOCTYPE html>
<html lang="en"><head>
<title>Violin plot example</title>
<meta charset="utf-8">
<link href="style.css" rel="stylesheet">
<script type="text/javascript" language="javascript" src="http://ajax.googleapis.com/ajax/libs/jquery/1.9.1/jquery.min.js"></script>
<script type="text/javascript" language="javascript" src="http://d3js.org/d3.v3.min.js"></script>
</head>
<body>
<div id="svgElement1"></div>
<div id="svgElement2"></div>
</body>
<script src="data.js"></script>
<script src="plot.js"></script>
</html>
function addViolin(svg, results, height, width, domain, imposeMax, violinColor){
var data = d3.layout.histogram()
.bins(resolution)
.frequency(0)
(results);
var y = d3.scale.linear()
.range([width/2, 0])
.domain([0, Math.max(imposeMax, d3.max(data, function(d) { return d.y; }))]);
var x = d3.scale.linear()
.range([height, 0])
.domain(domain)
.nice();
var area = d3.svg.area()
.interpolate(interpolation)
.x(function(d) {
if(interpolation=="step-before")
return x(d.x+d.dx/2)
return x(d.x);
})
.y0(width/2)
.y1(function(d) { return y(d.y); });
var line=d3.svg.line()
.interpolate(interpolation)
.x(function(d) {
if(interpolation=="step-before")
return x(d.x+d.dx/2)
return x(d.x);
})
.y(function(d) { return y(d.y); });
var gPlus=svg.append("g")
var gMinus=svg.append("g")
gPlus.append("path")
.datum(data)
.attr("class", "area")
.attr("d", area)
.style("fill", violinColor);
gPlus.append("path")
.datum(data)
.attr("class", "violin")
.attr("d", line)
.style("stroke", violinColor);
gMinus.append("path")
.datum(data)
.attr("class", "area")
.attr("d", area)
.style("fill", violinColor);
gMinus.append("path")
.datum(data)
.attr("class", "violin")
.attr("d", line)
.style("stroke", violinColor);
var x=width;
gPlus.attr("transform", "rotate(90,0,0) translate(0,-"+width+")");//translate(0,-200)");
gMinus.attr("transform", "rotate(90,0,0) scale(1,-1)");
}
function addBoxPlot(svg, results, height, width, domain, boxPlotWidth, boxColor, boxInsideColor){
var y = d3.scale.linear()
.range([height, 0])
.domain(domain);
var x = d3.scale.linear()
.range([0, width])
var left=0.5-boxPlotWidth/2;
var right=0.5+boxPlotWidth/2;
var probs=[0.05,0.25,0.5,0.75,0.95];
for(var i=0; i<probs.length; i++){
probs[i]=y(d3.quantile(results, probs[i]))
}
svg.append("rect")
.attr("class", "boxplot fill")
.attr("x", x(left))
.attr("width", x(right)-x(left))
.attr("y", probs[3])
.attr("height", -probs[3]+probs[1])
.style("fill", boxColor);
var iS=[0,2,4];
var iSclass=["","median",""];
var iSColor=[boxColor, boxInsideColor, boxColor]
for(var i=0; i<iS.length; i++){
svg.append("line")
.attr("class", "boxplot "+iSclass[i])
.attr("x1", x(left))
.attr("x2", x(right))
.attr("y1", probs[iS[i]])
.attr("y2", probs[iS[i]])
.style("fill", iSColor[i])
.style("stroke", iSColor[i]);
}
var iS=[[0,1],[3,4]];
for(var i=0; i<iS.length; i++){
svg.append("line")
.attr("class", "boxplot")
.attr("x1", x(0.5))
.attr("x2", x(0.5))
.attr("y1", probs[iS[i][0]])
.attr("y2", probs[iS[i][1]])
.style("stroke", boxColor);
}
svg.append("rect")
.attr("class", "boxplot")
.attr("x", x(left))
.attr("width", x(right)-x(left))
.attr("y", probs[3])
.attr("height", -probs[3]+probs[1])
.style("stroke", boxColor);
svg.append("circle")
.attr("class", "boxplot mean")
.attr("cx", x(0.5))
.attr("cy", y(d3.mean(results)))
.attr("r", x(boxPlotWidth/5))
.style("fill", boxInsideColor)
.style("stroke", 'None');
svg.append("circle")
.attr("class", "boxplot mean")
.attr("cx", x(0.5))
.attr("cy", y(d3.mean(results)))
.attr("r", x(boxPlotWidth/10))
.style("fill", boxColor)
.style("stroke", 'None');
}
var margin={top:10, bottom:30, left:30, right:10};
var width=600;
var height=200;
var boxWidth=100;
var boxSpacing=10;
var domain=[-10,10];
var resolution=20;
var d3ObjId="svgElement1";
var interpolation='step-before';
var y = d3.scale.linear()
.range([height-margin.bottom, margin.top])
.domain(domain);
var yAxis = d3.svg.axis()
.scale(y)
.ticks(5)
.orient("left")
.tickSize(5,0,5);
var svg = d3.select("#"+d3ObjId)
.append("svg")
.attr("width", width)
.attr("height", height);
svg.append("line")
.attr("class", "boxplot")
.attr("x1", margin.left)
.attr("x2", width-margin.right)
.attr("y1", y(0))
.attr("y2", y(0));
for(var i=0; i<results.length; i++){
results[i]=results[i].sort(d3.ascending)
var g=svg.append("g").attr("transform", "translate("+(i*(boxWidth+boxSpacing)+margin.left)+",0)");
addViolin(g, results[i], height, boxWidth, domain, 0.25, "#cccccc");
addBoxPlot(g, results[i], height, boxWidth, domain, .15, "black", "white");
}
svg.append("g")
.attr('class', 'axis')
.attr("transform", "translate("+margin.left+",0)")
.call(yAxis);
var d3ObjId="svgElement2";
var interpolation='basis';
var svg = d3.select("#"+d3ObjId)
.append("svg")
.attr("width", width)
.attr("height", height);
svg.append("line")
.attr("class", "boxplot")
.attr("x1", margin.left)
.attr("x2", width-margin.right)
.attr("y1", y(0))
.attr("y2", y(0));
for(var i=0; i<results.length; i++){
results[i]=results[i].sort(d3.ascending)
var g=svg.append("g").attr("transform", "translate("+(i*(boxWidth+boxSpacing)+margin.left)+",0)");
addViolin(g, results[i], height, boxWidth, domain, 0.25, "#cccccc");
addBoxPlot(g, results[i], height, boxWidth, domain, .15, "black", "white");
}
svg.append("g")
.attr('class', 'axis')
.attr("transform", "translate("+margin.left+",0)")
.call(yAxis);
body {
font: 10px sans-serif;
}
.area{
shape-rendering: geometricPrecision;
fill: #ccc !important;
}
.boxplot{
shape-rendering: crispEdges;
fill: none;
stroke: black;
stroke-width: 1px;
}
.boxplot.fill{
fill: black;
}
.boxplot.mean, .boxplot.median{
fill: white;
stroke: white;
}
.boxplot.mean{
shape-rendering: geometricPrecision;
}
.violin{
shape-rendering: geometricPrecision;
fill: none !important;
stroke: #777;
stroke-width: 1px;
}
.axis path, .axis line {
fill: none;
stroke: #000;
stroke-width: 1px;
color-rendering: optimizeQuality !important;
shape-rendering: crispEdges !important;
text-rendering: geometricPrecision !important;
}

Hello,
Thanks for this script, very useful.

I notice a bug about the scale : the margin top and bottom affect the Y axis nicely, but the violin and box plot are not affected.
That end with a mismatch between the Y axis and the plot

to fix : plot.js
l.14 : .range([height - margin.bottom, margin.top])
l.75 : .range([height - margin.bottom, margin.top])

I make a gist of my own that inspired by this one. thanks very much!
In my gist, I fetch the Y-axis domain from the data dynamically, but I think the Y-axis doesn't make any sense when there are more than 1 violin in data, apart from can offer reference of max & min value.

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