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@NPashaP
Last active December 27, 2019 07:14
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Stacked Density and Quantile Graphs

The graph on the left is the density function. The graph on the right is obtained by dividing the density function horizontally (along the horizontal axis) so that all pieces have equal area and then resizing to have equal width (and hence equal height).

The right side graph is useful to see if a particular segment has higher contribtuion to the tail than to the middle which could be harder to see in the denisty graph.

Hovering over the legend will update the graphs to show only the selected segment.

var dqData=[];
dqData.push({title:'Product Groups',
mean:0.0393,
dP:[
['GROUP01',-0.0435,32937],
['GROUP10',-0.2651,132],
['GROUP11',-0.0694,1164],
['GROUP12',0.0345,17127],
['GROUP13',-0.0288,8858],
['GROUP18',-0.3741,46],
['GROUP19',-0.2004,646],
['GROUP20',-0.1441,214],
['GROUP21',-0.1254,1334],
['GROUP22',-0.3256,2],
['GROUP23',-0.2706,25],
['GROUP24',-0.3488,10],
['GROUP25',-0.1066,161],
['GROUP26',-0.0685,736],
['GROUP31',-0.066,10166],
['GROUP32',-0.3713,4],
['GROUP33',-0.311,26],
['GROUP34',-0.4644,15],
['GROUP35',-0.1609,392],
['GROUP36',-0.1934,180],
['GROUP38',-0.3884,2],
['GROUP40',-0.3051,266],
['GROUP41',0.182,1],
['GROUP42',-0.2443,1],
['GROUP51',0.0078,6911],
['GROUP52',0.0956,52014],
['GROUP54',-0.4534,113],
['GROUP55',-0.1566,1967],
['GROUP56',-0.044,677],
['GROUP57',0.0141,5316],
['GROUP58',-0.3542,14],
['GROUP59',-0.4036,69],
['GROUP60',-0.4241,43],
['GROUP61',-0.0813,1863],
['GROUP62',-0.0355,694],
['GROUP63',-0.1181,6],
['GROUP64',-0.5063,4],
['GROUP65',-0.2909,10],
['GROUP66',-0.325,64],
['GROUP67',-0.3138,33],
['GROUP68',-0.4309,4],
['GROUP69',-0.2086,1],
['GROUP70',0.1175,75678],
['GROUP71',-0.0094,787],
['GROUP72',0.0454,3586],
['GROUP73',-0.1235,4172],
['GROUP74',0.0306,172280]
],
distMin:-0.67930643331712,distMax:2.0725075529,
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var maxT = d3.max(data[type].map(function(d){ return d3.sum(d); }));
function tW(d){ return x(d*(data[type].length - 1)/50); }
function tH(d){ return y(d*maxT/50); }
var svg =d3.select("#"+id).select("."+type);
//x and y axis maps.
var x = d3.scale.linear().domain([0, data[type].length - 1]).range([0, width]);
var y = d3.scale.linear().domain([0, maxT]).range([height, 0]);
//draw yellow background for graph.
svg.append("rect").attr("x",0).attr("y",0).attr("width",width).attr("height",height).style("fill","rgb(235,235,209)");
// draw vertical lines of the grid.
svg.selectAll(".vlines").data(d3.range(51)).enter().append("line").attr("class","vlines")
.attr("x1",tW).attr("y1",0)
.attr("x2", tW).attr("y2",function(d,i){ return d%10 ==0 && d!=50? height+12: height;});
//draw horizontal lines of the grid.
svg.selectAll(".hlines").data(d3.range(51)).enter().append("line").attr("class","hlines")
.attr("x1",function(d,i){ return d%10 ==0 && d!= 50? -12: 0;})
.attr("y1",tH).attr("x2", width).attr("y2",tH);
// make every 10th line in the grid darker.
svg.selectAll(".hlines").filter(function(d){ return d%10==0}).style("stroke-opacity",0.7);
svg.selectAll(".vlines").filter(function(d){ return d%10==0}).style("stroke-opacity",0.7);
function getHLabel(d,i){
if(type=="dist"){ // for distribution graph use the min and max to get the 5 label values.
var r= data.distMin+i*(data.distMax-data.distMin)/5;
return Math.round(r*100)/100;
}else{ // for quantile graph, use label 20, 40, 60, and 80.
return (i*20)+' %';
}
}
function getVLabel(d,i){
if(type=="dist"){ // for dist use the maximum for sum of frequencies and divide it into 5 pieces.
return Math.round(maxT*i/5);
}else{ // for quantile graph, use percentages in increments of 20%.
return (i*20)+' %';
}
}
// add horizontal axis labels
svg.append("g").attr("class","hlabels")
.selectAll("text").data(d3.range(41).filter(function(d){ return d%10==0})).enter().append("text")
.text(getHLabel).attr("x",function(d,i){ return tW(d)+5;}).attr("y",height+14);
// add vertical axes labels.
svg.append("g").attr("class","vlabels")
.selectAll("text").data(d3.range(41).filter(function(d){ return d%10==0 })).enter().append("text")
.attr("transform",function(d,i){ return "translate(-10,"+(tH(d)-14)+")rotate(-90)";})
.text(getVLabel).attr("x",-10).attr("y",function(d){ return 5;});
var area = d3.svg.area().x(function(d) { return x(d.x); })
.y0(function(d) { return y(d.y0); })
.y1(function(d) { return y(d.y0 + d.y); })
.interpolate("basis");
var layers = d3.layout.stack().offset("zero")(data.dP.map(function(d,i){ return getPoints(data[type], i);}));
svg.selectAll("path").data(layers).enter().append("path").attr("d", area)
.style("fill", function(d,i) { return colors[i]; })
.style("stroke", function(d,i) { return colors[i]; });
//draw a white rectangle to hide and to show some statistics.
var stat = svg.append("g").attr("class","stat");
stat.append("rect").attr("x",-margin).attr("y",-margin)
.attr("width",width+2*margin).attr("height",margin).style("fill","white");
// show sum and mean in statistics
if(type=="dist"){
stat.append("text").attr("class","count").attr("x",20).attr("y",-6)
.text(function(d){
var sum = d3.sum(data.dP.map(function(s){ return s[2];}));
return "Count: " +toComma(sum)+" / "+toComma(sum)+" ( 100 % )";
});
stat.append("text").attr("class","mean").attr("x",250).attr("y",-6)
.text(function(d){ return "Mean: " +data.mean;});
}
}
function transitionIn(type, p){
var maxT = d3.max(data[type].map(function(d){ return d3.sum(d); }));
var max = d3.max(data[type].map(function(d){ return d[p]; }));
var x = d3.scale.linear().domain([0, data[type].length - 1]).range([0, width]);
var y = d3.scale.linear().domain([0, max]).range([height, 0]);
function tW(d){ return x(d*(data[type].length - 1)/50); }
function tH(d){ return y(d*maxT/50); }
var area = d3.svg.area().x(function(d) { return x(d.x); })
.y0(function(d) { return y(d.y0); })
.y1(function(d) { return y(d.y0 + d.y); })
.interpolate("basis");
var layers = d3.layout.stack().offset("zero")(data.dP.map(function(d,i){ return getPointsZero(data[type], i, p);}));
var svg = d3.select("#"+id).select("."+type);
//transition all the lines, labels, and areas.
svg.selectAll("path").data(layers).transition().duration(500).attr("d", area);
svg.selectAll(".vlines").transition().duration(500).attr("x1",tW).attr("x2", tW);
svg.selectAll(".hlines").transition().duration(500).attr("y1",tH).attr("y2",tH);
svg.selectAll(".vlabels").selectAll("text").transition().duration(500)
.attr("transform",function(d,i){ return "translate(-10,"+(tH(d)-14)+")rotate(-90)";});
//update the statistics rect for distribution graph.
if(type=="dist"){
svg.select(".stat").select(".count")
.text(function(d){
var sumseg = data.dP[p][2];
var sum = d3.sum(data.dP.map(function(s){ return s[2];}));
return "Count: " +toComma(sumseg)+" / "+toComma(sum)+" ( "+Math.round(100*sumseg/sum)+" % )";
});
svg.select(".stat").select(".mean").text(function(d){ return "Mean: " +data.dP[p][1];});
}
}
function transitionOut(type){
var maxT = d3.max(data[type].map(function(d){ return d3.sum(d); }));
function tW(d){ return x(d*(data[type].length - 1)/50); }
function tH(d){ return y(d*maxT/50); }
var x = d3.scale.linear().domain([0, data[type].length - 1]).range([0, width]);
var y = d3.scale.linear().domain([0, maxT]).range([height, 0]);
var area = d3.svg.area().x(function(d) { return x(d.x); })
.y0(function(d) { return y(d.y0); })
.y1(function(d) { return y(d.y0 + d.y); })
.interpolate("basis");
var layers = d3.layout.stack().offset("zero")(data.dP.map(function(d,i){ return getPoints(data[type], i);}));
// transition the lines, areas, and labels.
var svg = d3.select("#"+id).select("."+type);
svg.selectAll("path").data(layers).transition().duration(500).attr("d", area);
svg.selectAll(".vlines").transition().duration(500).attr("x1",tW).attr("x2", tW);
svg.selectAll(".hlines").transition().duration(500).attr("y1",tH).attr("y2",tH);
svg.selectAll(".vlabels").selectAll("text").transition().duration(500)
.attr("transform",function(d,i){ return "translate(-10,"+(tH(d)-14)+")rotate(-90)";});
// for distribution graph, update the statistics rect.
if(type=="dist"){
svg.select(".stat").select(".count")
.text(function(d){
var sum = d3.sum(data.dP.map(function(s){ return s[2];}));
return "Count: " +toComma(sum)+" / "+toComma(sum)+" ( 100 % )";
});
svg.select(".stat").select(".mean").text(function(d){ return "Mean: " +data.mean;});
}
}
function mouseoverLegend(_,p){
transitionIn("dist", p);
transitionIn("quant", p);
}
function mouseoutLegend(){
transitionOut("dist");
transitionOut("quant");
}
// add title.
d3.select("#"+id).append("h3").text(data.title);
// add svg and set attributes for distribution.
d3.select("#"+id).append("svg").attr("width",width+2*margin).attr("height",height+2*margin)
.append("g").attr("transform","translate("+margin+","+margin+")").attr("class","dist");
//add svg and set attributes for quantil.
d3.select("#"+id).append("svg").attr("width",width+2*margin).attr("height",height+2*margin)
.append("g").attr("transform","translate("+margin+","+margin+")").attr("class","quant");
// Draw the two graphs.
draw("dist");
draw("quant");
// draw legends.
var legRow = d3.select("#"+id).append("div").attr("class","legend")
.append("table").selectAll("tr").data(data.dP).enter().append("tr").append("td");
legRow.append("div").style("background",function(d,i){ return colors[i];})
.on("mouseover",mouseoverLegend).on("mouseout",mouseoutLegend).style("cursor","pointer");
legRow.append("span").text(function(d){ return d[0];})
.on("mouseover",mouseoverLegend).on("mouseout",mouseoutLegend).style("cursor","pointer");
}
function drawAll(data, id){
var seg = d3.select("#"+id).selectAll("div").data(d3.range(data.length)).enter()
.append("div").attr("id",function(d,i){ return "segment"+i;}).attr("class","distquantdiv");
d3.range(data.length).forEach(function(d,i){ distQuant(dqData[i], "segment"+i );});
}
drawAll(dqData, "contentDiv");
</script>
path{
fill-opacity:0.8;
stroke-opacity:0;
}
.vlines, .hlines{
stroke:rgb(150,148,109);
shape-rendering:crispEdges;
stroke-width:1px;
stroke-opacity:0.3;
}
.hlabels line, .vlabels line{
stroke:rgb(150,148,109);
shape-rendering:crispEdges;
stroke-width:1px;
stroke-opacity:0.7;
}
.hlabels text, .vlabels text{
color:rgb(150,148,109);
font-size:12px;
}
body{
width:1150px;
margin:10px auto;
}
svg{
display:inline;
float:left;
}
.legend{
display:inline-block;
margin:10px;
margin-top:30px;
margin-left:0;
max-height:280px;
min-width:190px;
overflow:auto;
}
.legend table{
border-collapse:collapse;
border-spacing:0;
}
.legend tr, .legend td, .legend div{
margin:0;
padding:0;
}
.legend div{
width:20px;
height:20px;
float: left;
}
.legend span{
padding: 0 5px;
margin:0
}
.legend tr:hover{
background:silver;
}
.distquantdiv{
clear:both;
padding:10px;
overflow:hidden;
margin: 20px;
}
.distquantdiv h3{
padding-left: 40px;
margin-bottom:0;
}
.stat{
font-size:12px;
}
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