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@davidwclin
Last active January 14, 2018 13:14
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Radial Boxplot

Boxplots are a great way to quickly summarize probability distributions using a high data-ink ratio.

At LiquidLandscape, we toyed around with the idea of a boxplot for continuous data, in particular, cyclical data. We came up with a natural extension, the radial boxplot. It's easy to imagine how one would look once you hear its name.

Notes

<!DOCTYPE html>
<meta charset="utf-8">
<style>
body {
font: 10px sans-serif;
}
.axis line {
stroke: #000;
}
.axis path {
fill: none;
stroke: #000;
}
.layer {
stroke: black;
fill: none;
}
.outlier {
stroke: black;
fill: none;
opacity: 0.3;
}
.axis + .axis g text {
display: none;
}
</style>
<body>
<div id="rbox1" class="rbox"></div>
<script src="https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.5/d3.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/crossfilter/1.3.11/crossfilter.js"></script>
<script src="rbox.js"></script>
<script>
var formatDate = d3.time.format("%a"),
formatDay = function(d) { return formatDate(new Date(2007, 0, d)); },
formatHourX = d3.time.format("%H"),
formatHour = function(d) { return formatHourX(new Date(2007, 0, 0, d)); }
;
d3.csv("san-francisco.csv", toType, function(error, csv) {
var metric = "temperature",
xf = toXf(csv, metric);
var rbox1 = rbox()
.width(500).height(500)
.dimension(xf.day).group(xf.days)
.axisText(formatDay)
.label("SF Temp 1/1/15~4/1/15")
.scaleOverride([5,35]);
var chart = d3.selectAll("#rbox1").call(rbox1);
console.log("should be done");
});
function toXf(csv, metric) {
var data = crossfilter(csv),
all = data.groupAll(),
hour = data.dimension(function(d) { return Math.floor((d.day % 1) * 24); }),
hours = setReduceStats(hour.group(Object), metric),
day = data.dimension(function(d) { return d.day; }),
days = setReduceStats(day.group(Object), metric),
date = data.dimension(function(d) { return d.date; }),
dates = date.group(d3.time.day);
return {all:all, hour:hour, hours:hours, day:day, days:days, date:date, dates:dates};
}
function toType(d) {
var date = new Date(Date.parse(d.timestamp));
d.day = (date.getDay() + date.getHours() / 24) % 7; // [0, 7)
d.date = date;
d.longitude = +d.longitude;
d.latitude = +d.latitude;
d.temperature = +d.temperature;
d.humidity = +d.humidity;
d.light = +d.light;
d.dust = +d.dust;
d.airquality_raw = +d.airquality_raw;
return d;
}
</script>
</body>
function binarySearch(a, key) {
var low = 0,
high = a.length - 1;
while(low <= high) {
var mid = Math.floor((low + high) / 2),
midVal = a[mid];
if(midVal < key) {
low = mid + 1;
} else if (midVal > key) {
high = mid - 1;
} else {
return mid;
}
}
return low; //returns insertion index if not found
}
// add boxplot stats.
// m has .sortedVals
function addStats(m) {
var vs = m.sortedVals,
q1 = d3.quantile(vs, 0.25),
q2 = d3.quantile(vs, 0.5),
q3 = d3.quantile(vs, 0.75),
iqr = q3 - q1;
var i = -1,
j = vs.length;
while (vs[++i] < q1 - 1.5 * iqr);
while (vs[--j] > q3 + 1.5 * iqr);
var wl = vs[i], //whisker low
wh = vs[j], //whisker high
ol = vs.slice(0, i), //outliers low
oh = vs.slice(++j, vs.length); //outliers high
m.min = vs[0];
m.max = vs[vs.length-1];
m.q1 = q1;
m.q2 = q2;
m.q3 = q3;
m.wl = wl;
m.wh = wh;
m.ol = ol;
m.oh = oh;
}
// sets group.reduce
// group => crossfilter group.
function setReduceStats(group, metric) {
function reduceAdd(p, v) {
var i = binarySearch(p.sortedVals,v[metric]);
p.sortedVals.splice(i, 0, v[metric]);
return p;
}
function reduceRemove(p, v) {
var i = binarySearch(p.sortedVals, v[metric]);
p.sortedVals.splice(i, 1);
return p;
}
function reduceInitial() {
return {sortedVals:[], min:0, max:0, wl:0, q1:0, q2:0, q3:0, wh:0, ol:[], oh:[]};
}
return group.reduce(reduceAdd, reduceRemove, reduceInitial);
}
var rbox = function() {
var width = 960,
height = 500,
innerRadius = 80,
scaleOverride = null,
label = "",
dimension,
group,
axisText = Object,
color = "#3399FF"
;
// selection => nested data
function my(selection) {
var svg = selection.select("svg g");
if(svg.empty()) {
selection = selection.append("svg")
.attr("width", width)
.attr("height", height)
.attr('class', 'star-container')
.append("g")
.attr("transform", "translate(" + width / 2 + "," + height / 2 + ")");
selection.append("g").attr("class", "layers");
selection.append("g").attr("class", "axes");
selection.append("g").attr("class", "outliers")
} else {
selection = svg;
}
var fill = [d3.rgb(color).brighter(), color, color, d3.rgb(color).brighter()];
var outerRadius = height / 2 - 10;
var angle = d3.time.scale()
.range([0, 2 * Math.PI]);
var radius = d3.scale.linear()
.range([innerRadius, outerRadius]);
var stack = d3.layout.stack()
.offset("zero")
.x(function(d) { return d.key; })
.y(function(d) { return d.value; })
;
var area = d3.svg.area.radial()
.interpolate("cardinal-closed")
.angle(function(d) { return angle(d.key); })
.innerRadius(function(d) { return radius(d.y0); })
.outerRadius(function(d) { return radius(d.y0 + d.y); });
selection.each(function() { //groups
var selection = d3.select(this),
g = selection.select("g");
var gs = group.all();
gs.forEach(function(g) { addStats(g.value); });
var ks = ["wl", "q1", "q2", "q3", "wh"];
var nested = ks.map(function(k, i) {
return gs.map(function(g) {
var tmp = Object.create(g); //clone(ish)
tmp.value = tmp.value[k] - (tmp.value[ks[i - 1]] || 0.0);
return tmp;
});
});
var layers = stack(nested);
layers.shift(); //no need to draw first layer
// Extend the domain slightly to match the range of [0, 2π].
angle.domain([0, Math.floor(d3.max(gs, function(g) { return g.key; })) + 0.999]); // hour => [0, 24), day => [0, 7)
if(scaleOverride) {
radius.domain(scaleOverride);
} else {
radius.domain([d3.min(gs, function(g) { return g.value.min; }),
d3.max(gs, function(g) { return g.value.max; })]);
}
var selLabel = selection.selectAll(".label")
.data([label]);
selLabel.enter().append("text")
.attr("class", "label")
.attr("text-anchor", "middle");
selLabel
.text(function(d) { return d; })
.style("opacity", 1);
var selLayer = selection.select(".layers").selectAll(".layer")
.data(layers);
selLayer.enter().append("path")
.attr("class", "layer")
.attr("d", function(ds) { return area(ds.map(function(d) { return {key:d.key, y0:0, y:0}; })); })
.style("fill", function(d, i) { return fill[i]; })
selLayer
.transition().duration(200)
.attr("d", function(d) { return area(d); })
.style("fill", function(d, i) { return fill[i]; });
var outliersss = ["ol", "oh"].map(function(k) {
return gs.map(function(g) {
var theta = angle(g.key) - 0.5* Math.PI; //0 is at 12 o clock.
return g.value[k].map(function(v) {
var h = radius(v);
var coord = {x: h * Math.cos(theta),
y: h * Math.sin(theta)};
return coord;
});
});
});
var outlierss = [].concat.apply([], outliersss),
outliers = [].concat.apply([], outlierss);
var selOutlier = selection.select(".outliers").selectAll(".outlier")
.data(outliers);
selOutlier.enter()
.append("circle")
.attr("class", "outlier")
selOutlier
.attr("cx", function(d) { return d.x; })
.attr("cy", function(d) { return d.y; })
.attr("r", 2);
selOutlier.exit()
.remove();
var selAxis = selection.select(".axes").selectAll(".axis")
.data(d3.range(Math.floor(+angle.domain()[1]) + 1))
selAxis.enter().append("g")
.attr("class", "axis")
.append("text")
.attr("class", "axisLabel");
selAxis //.transition().duration(1000)
.attr("transform", function(d) { return "rotate(" + angle(d) * 180 / Math.PI + ")"; })
.call(d3.svg.axis()
.scale(radius.copy().range([-innerRadius, -outerRadius]))
.orient("left"));
selAxis.selectAll("text.axisLabel")
.text(function(d) { return axisText(d); })
.attr("y", -innerRadius + 6)
.attr("dy", ".71em")
.attr("text-anchor", "middle");
selAxis.exit()
.remove();
});
}
/** Getter/Setters **/
my.width = function(v) {
if (!arguments.length) return width;
width = v;
return my;
}
my.height = function(v) {
if (!arguments.length) return height;
height = v;
return my;
}
my.innerRadius = function(v) {
if (!arguments.length) return innerRadius;
innerRadius = v;
return my;
}
my.outerRadius = function(v) {
if (!arguments.length) return outerRadius;
outerRadius = v;
return my;
}
my.file = function(v) {
if (!arguments.length) return file;
file = v;
return my;
}
my.scaleOverride = function(v) {
if (!arguments.length) return scaleOverride;
scaleOverride = (v[0] == 0 && v[1] == 0) ? null : v; //maybe do something better here?
return my;
}
my.label = function(v) {
if (!arguments.length) return label;
label = v;
return my;
}
my.dimension = function(v) {
if (!arguments.length) return dimension;
dimension = v;
return my;
}
my.group = function(v) {
if (!arguments.length) return group;
group = v;
return my;
}
my.axisText = function(_) {
if (!arguments.length) return axisText;
axisText = _;
return my;
};
my.color = function(_) {
if (!arguments.length) return color;
color = _;
return my;
};
return my;
};
timestamp city temperature
2015-01-06T19:30:00.000Z San Francisco
2015-01-07T01:30:00.000Z San Francisco
2015-01-07T19:30:00.000Z San Francisco 23.6272727272727
2015-01-07T20:00:00.000Z San Francisco 23.6945977011494
2015-01-07T20:30:00.000Z San Francisco 23.8055555555556
2015-01-07T21:00:00.000Z San Francisco 23.8085823754789
2015-01-07T21:30:00.000Z San Francisco 23.7938938992042
2015-01-07T22:00:00.000Z San Francisco 24.811908045977
2015-01-08T01:30:00.000Z San Francisco 20.8002380952381
2015-01-08T02:00:00.000Z San Francisco 20.1454022988506
2015-01-08T02:30:00.000Z San Francisco 19.6353831417625
2015-01-08T03:00:00.000Z San Francisco 19.3973754789272
2015-01-08T03:30:00.000Z San Francisco 19.2898659003831
2015-01-08T04:00:00.000Z San Francisco 19.187816091954
2015-01-08T04:30:00.000Z San Francisco 18.9944636015326
2015-01-08T05:00:00.000Z San Francisco 18.8747126436782
2015-01-08T05:30:00.000Z San Francisco 18.6777203065134
2015-01-08T06:00:00.000Z San Francisco 18.5701915708812
2015-01-08T06:30:00.000Z San Francisco 18.4860344827586
2015-01-08T07:00:00.000Z San Francisco 18.3615708812261
2015-01-08T07:30:00.000Z San Francisco 18.1004789272031
2015-01-08T08:00:00.000Z San Francisco 17.6766666666667
2015-01-08T08:30:00.000Z San Francisco 17.5744827586207
2015-01-08T09:00:00.000Z San Francisco 17.3217049808429
2015-01-08T09:30:00.000Z San Francisco 17.2290421455939
2015-01-08T10:00:00.000Z San Francisco 16.8768007662835
2015-01-08T10:30:00.000Z San Francisco 17.0739463601533
2015-01-08T11:00:00.000Z San Francisco 17.2709578544061
2015-01-08T11:30:00.000Z San Francisco 16.9835057471264
2015-01-08T12:00:00.000Z San Francisco 16.926724137931
2015-01-08T12:30:00.000Z San Francisco 16.7700957854406
2015-01-08T13:00:00.000Z San Francisco 16.6461685823755
2015-01-08T13:30:00.000Z San Francisco 16.553908045977
2015-01-08T14:00:00.000Z San Francisco 16.6540229885057
2015-01-08T14:30:00.000Z San Francisco 16.0341762452107
2015-01-08T15:00:00.000Z San Francisco 15.8367816091954
2015-01-08T15:30:00.000Z San Francisco 16.0085440613027
2015-01-08T16:00:00.000Z San Francisco 16.4869731800766
2015-01-08T16:30:00.000Z San Francisco 17.5442720306513
2015-01-08T17:00:00.000Z San Francisco 17.2927777777778
2015-01-08T17:30:00.000Z San Francisco 17.3583333333333
2015-01-08T18:00:00.000Z San Francisco 18.6515051997811
2015-01-08T18:30:00.000Z San Francisco 19.1595019157088
2015-01-08T19:00:00.000Z San Francisco 19.5836015325671
2015-01-08T19:30:00.000Z San Francisco 20.2456896551724
2015-01-08T20:00:00.000Z San Francisco 20.7504865900383
2015-01-08T20:30:00.000Z San Francisco 21.4132614942529
2015-01-08T21:00:00.000Z San Francisco 21.3553448275862
2015-01-08T21:30:00.000Z San Francisco 21.7898659003831
2015-01-08T22:00:00.000Z San Francisco 22.0047892720306
2015-01-08T22:30:00.000Z San Francisco 22.2695402298851
2015-01-08T23:00:00.000Z San Francisco 22.4540804597701
2015-01-08T23:30:00.000Z San Francisco 22.7218199233716
2015-01-09T00:00:00.000Z San Francisco 22.0681992337165
2015-01-09T00:30:00.000Z San Francisco 21.4387931034483
2015-01-09T01:00:00.000Z San Francisco 20.7230076628353
2015-01-09T01:30:00.000Z San Francisco 20.400153256705
2015-01-09T02:00:00.000Z San Francisco 19.9731800766284
2015-01-09T02:30:00.000Z San Francisco 19.9583716475096
2015-01-09T03:00:00.000Z San Francisco 20.041398467433
2015-01-09T03:30:00.000Z San Francisco 19.9238314176245
2015-01-09T04:00:00.000Z San Francisco 19.5308429118774
2015-01-09T04:30:00.000Z San Francisco 19.6006704980843
2015-01-09T05:00:00.000Z San Francisco 19.4028352490421
2015-01-09T05:30:00.000Z San Francisco 19.4577394636015
2015-01-09T06:00:00.000Z San Francisco 19.2861302681992
2015-01-09T06:30:00.000Z San Francisco 18.7555172413793
2015-01-09T07:00:00.000Z San Francisco 18.0969923371647
2015-01-09T07:30:00.000Z San Francisco 18.1352490421456
2015-01-09T08:00:00.000Z San Francisco 18.0793869731801
2015-01-09T08:30:00.000Z San Francisco 17.9582183908046
2015-01-09T09:00:00.000Z San Francisco 18.044061302682
2015-01-09T09:30:00.000Z San Francisco 17.8785823754789
2015-01-09T10:00:00.000Z San Francisco 17.7509044967378
2015-01-09T10:30:00.000Z San Francisco 18.0542720306513
2015-01-09T11:00:00.000Z San Francisco 17.9571849163138
2015-01-09T11:30:00.000Z San Francisco 18.0180842911877
2015-01-09T12:00:00.000Z San Francisco 17.9295210727969
2015-01-09T12:30:00.000Z San Francisco 17.9099233716475
2015-01-09T13:00:00.000Z San Francisco 17.3932950191571
2015-01-09T13:30:00.000Z San Francisco 17.8788888888889
2015-01-09T14:00:00.000Z San Francisco 17.6161494252874
2015-01-09T14:30:00.000Z San Francisco 17.4162327901983
2015-01-09T15:00:00.000Z San Francisco 17.1097113337918
2015-01-09T15:30:00.000Z San Francisco 17.1930842911877
2015-01-09T16:00:00.000Z San Francisco 17.7451340996169
2015-01-09T16:30:00.000Z San Francisco 18.3186590038314
2015-01-09T17:00:00.000Z San Francisco 18.4545977011494
2015-01-09T17:30:00.000Z San Francisco 18.336288998358
2015-01-09T18:00:00.000Z San Francisco 18.4004393462288
2015-01-09T18:30:00.000Z San Francisco 18.7164367816092
2015-01-09T19:00:00.000Z San Francisco 19.1081609195402
2015-01-09T19:30:00.000Z San Francisco 19.4588122605364
2015-01-09T20:00:00.000Z San Francisco 19.6591954022989
2015-01-09T20:30:00.000Z San Francisco 19.6440804597701
2015-01-09T21:00:00.000Z San Francisco 19.7345977011494
2015-01-09T21:30:00.000Z San Francisco 20.2113793103448
2015-01-09T22:00:00.000Z San Francisco 21.7516858237548
2015-01-09T22:30:00.000Z San Francisco 22.6708045977011
2015-01-09T23:00:00.000Z San Francisco 23.1363409961686
2015-01-09T23:30:00.000Z San Francisco 22.690938697318
2015-01-10T00:00:00.000Z San Francisco 22.5301724137931
2015-01-10T00:30:00.000Z San Francisco 22.1012835249042
2015-01-10T01:00:00.000Z San Francisco 20.8888697318008
2015-01-10T01:30:00.000Z San Francisco 20.0009961685824
2015-01-10T02:00:00.000Z San Francisco 19.837183908046
2015-01-10T02:30:00.000Z San Francisco 19.2265900383142
2015-01-10T03:00:00.000Z San Francisco 18.8742107700728
2015-01-10T03:30:00.000Z San Francisco 18.8211877394636
2015-01-10T04:00:00.000Z San Francisco 18.5961494252874
2015-01-10T04:30:00.000Z San Francisco 18.5163464696223
2015-01-10T05:00:00.000Z San Francisco 18.8319731800766
2015-01-10T05:30:00.000Z San Francisco 18.9649808429119
2015-01-10T06:00:00.000Z San Francisco 18.5140996168582
2015-01-10T06:30:00.000Z San Francisco 17.9814750957854
2015-01-10T07:00:00.000Z San Francisco 17.7812260536398
2015-01-10T07:30:00.000Z San Francisco 18.2980316091954
2015-01-10T08:00:00.000Z San Francisco 18.357662835249
2015-01-10T08:30:00.000Z San Francisco 18.4909578544061
2015-01-10T09:00:00.000Z San Francisco 18.2716091954023
2015-01-10T09:30:00.000Z San Francisco 18.118275862069
2015-01-10T10:00:00.000Z San Francisco 18.24339797176
2015-01-10T10:30:00.000Z San Francisco 17.7855172413793
2015-01-10T11:00:00.000Z San Francisco 17.7147701149425
2015-01-10T11:30:00.000Z San Francisco 17.6917624521073
2015-01-10T12:00:00.000Z San Francisco 17.4607662835249
2015-01-10T12:30:00.000Z San Francisco 17.3359195402299
2015-01-10T13:00:00.000Z San Francisco 17.2948275862069
2015-01-10T13:30:00.000Z San Francisco 17.5789846743295
2015-01-10T14:00:00.000Z San Francisco 17.6025670498084
2015-01-10T14:30:00.000Z San Francisco 17.5702681992337
2015-01-10T15:00:00.000Z San Francisco 17.6608812260536
2015-01-10T15:30:00.000Z San Francisco 17.5309195402299
2015-01-10T16:00:00.000Z San Francisco 17.5710344827586
2015-01-10T16:30:00.000Z San Francisco 17.4802681992337
2015-01-10T17:00:00.000Z San Francisco 17.5650766283525
2015-01-10T17:30:00.000Z San Francisco 17.5805747126437
2015-01-10T18:00:00.000Z San Francisco 17.4429885057471
2015-01-10T18:30:00.000Z San Francisco 18.0982950191571
2015-01-10T19:00:00.000Z San Francisco 17.9599233716475
2015-01-10T19:30:00.000Z San Francisco 18.0368226600985
2015-01-10T20:00:00.000Z San Francisco 18.8181417624521
2015-01-10T20:30:00.000Z San Francisco 19.4208194976586
2015-01-10T21:00:00.000Z San Francisco 20.5037739463601
2015-01-10T21:30:00.000Z San Francisco 20.5389463601533
2015-01-10T22:00:00.000Z San Francisco 20.0643486590038
2015-01-10T22:30:00.000Z San Francisco 20.1316427203065
2015-01-10T23:00:00.000Z San Francisco 20.307183908046
2015-01-10T23:30:00.000Z San Francisco 20.2619731800766
2015-01-11T00:00:00.000Z San Francisco 19.7873754789272
2015-01-11T00:30:00.000Z San Francisco 19.3061111111111
2015-01-11T01:00:00.000Z San Francisco 18.9399808429119
2015-01-11T01:30:00.000Z San Francisco 18.6174712643678
2015-01-11T02:00:00.000Z San Francisco 18.3544444444444
2015-01-11T02:30:00.000Z San Francisco 18.2854406130268
2015-01-11T03:00:00.000Z San Francisco 18.1354214559387
2015-01-11T03:30:00.000Z San Francisco 18.1019731800766
2015-01-11T04:00:00.000Z San Francisco 17.9033141762452
2015-01-11T04:30:00.000Z San Francisco 17.8489463601533
2015-01-11T05:00:00.000Z San Francisco 17.6269348659004
2015-01-11T05:30:00.000Z San Francisco 17.6227969348659
2015-01-11T06:00:00.000Z San Francisco 17.2305747126437
2015-01-11T06:30:00.000Z San Francisco 17.5518199233716
2015-01-11T07:00:00.000Z San Francisco 17.3798275862069
2015-01-11T07:30:00.000Z San Francisco 17.6907471264368
2015-01-11T08:00:00.000Z San Francisco 17.6486973180077
2015-01-11T08:30:00.000Z San Francisco 17.1953639846743
2015-01-11T09:00:00.000Z San Francisco 17.0701915708812
2015-01-11T09:30:00.000Z San Francisco 17.1397509578544
2015-01-11T10:00:00.000Z San Francisco 17.1983333333333
2015-01-11T10:30:00.000Z San Francisco 16.8878544061303
2015-01-11T11:00:00.000Z San Francisco 16.933275862069
2015-01-11T11:30:00.000Z San Francisco 16.8158237547893
2015-01-11T12:00:00.000Z San Francisco 16.461245210728
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