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Last active August 29, 2015 13:56
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Inner circles seem bigger than outer rings (experiment)
name S A D F group white
Person-1 5 15 50 95 3 0
Person-2 5 30 80 98 3 0
Person-3 2 20 50 90 3 0
Person-4 1 10 50 98 3 0
Person-5 12 24 78 95 3 0
Person-6 5 10 65 98 3 0
Person-7 1 12 65 97 3 0
Person-8 5 20 68.5 94 3 0
Person-9 10 20 50 90 3 0
Person-10 10 20 50 90 3 0
Person-11 5 15 70 95 3 0
Person-12 0.5 10 50 97 3 0
Person-13 2 12 50 98 3 0
Person-14 2 10 60 96 3 0
Person-15 2 15 30 90 3 0
Person-16 8 50 60 95 3 0
Person-17 5 15 50 90 3 0
Person-18 4 25 65 96 3 0
Person-19 2.5 20 65 95 1 0
Person-20 1 15 50 90 1 0
Person-21 10 20 50 95 1 0
Person-22 5 25 60 90 1 0
Person-23 7 10 75 95 1 0
Person-24 5 10 60 95 1 0
Person-25 10 30 65 90 1 0
Person-26 6 30 75 92 1 0
Person-27 5 15 55 95 2 1
Person-28 5 35 70 98 2 1
Person-29 5.1 15 42.7 90.4 2 1
Person-30 5 30 60 95 2 1
Person-31 5 25 50 95 2 1
Person-32 10 40 60 95 2 1
Person-33 4 30 55 95 2 1
Person-34 10 30 40 90 2 1
Person-35 5 10 60 93 2 1
Person-36 5 20 60 96 2 1
Person-37 8 25 60 92 2 1
Person-38 7 25 60 97 2 1
Person-39 8 15 65 95 2 1
Person-40 10 25 40 85 2 1
Person-41 10 25 50 90 2 1
Person-42 3 25 60 95 2 1
Person-43 3 25 55 95 2 1
Person-44 5 30 50 95 2 1
Person-45 7 35 55 90 2 1
<!DOCTYPE html>
<meta charset="utf-8">
<style>
body {
font: 10px sans-serif;
}
.axis path,
.axis line {
fill: none;
stroke: #000;
shape-rendering: crispEdges;
}
.x.axis path {
display: none;
}
.line {
fill: none;
stroke: #bbb;
stroke-width: 1px;
}
.line.active {
stroke-width: 5px;
stroke: #444
}
.group-2 {
fill: none;
stroke: #aac;
stroke-width: 1px;
}
.group-2.active {
stroke-width: 5px;
stroke: #335;
}
.zeroline {
fill: none;
stroke: red;
stroke-width: 3px;
}
.point {
fill: white;
stroke: #222;
}
.point.active {
fill: #222;
}
.average {
fill: orange;
stroke: orange;
fill-opacity: .6;
stroke-width: 1.5px;
stroke-opacity: 1;
}
.average.active {
fill-opacity: 1;
}
.stimuli {
fill: white;
stroke: #000;
}
.stimuli.active {
stroke: green;
}
</style>
<body>
<h1>How we perceive smaller the areas of the (colourful) rings than of their inner (white) circles</h1>
<div id="chart"></div>
<script src="http://d3js.org/d3.v3.js"></script>
<script>
var realvalues = {S: 0.075, A: 0.359, D: 0.676, F: 0.984}
var averages = {S: 0, A: 0, D: 0, F: 0}
var margin = {top: 20, right: 20, bottom: 30, left: 50},
width = 960 - margin.left - margin.right,
height = 400 - margin.top - margin.bottom;
var x = d3.scale.linear()
.range([0, width])
.domain([0,1]);
var y = d3.scale.linear()
.range([height, 0])
.domain([-0.5,0.7]);
var xAxis = d3.svg.axis()
.scale(x)
.orient("bottom");
var yAxis = d3.svg.axis()
.scale(y)
.orient("left");
var svg = d3.select("#chart").append("svg")
.attr("width", width + margin.left + margin.right)
.attr("height", height + margin.top + margin.bottom)
.append("g")
.attr("transform", "translate(" + margin.left + "," + margin.top + ")");
svg.append("g")
.attr("class", "x axis")
.attr("transform", "translate(0," + height + ")")
.call(xAxis)
.append("text")
.attr("x", x(1))
.attr("dx", ".71em")
.style("text-anchor", "end")
.text("Real values of percentage of colour");
svg.append("g")
.attr("class", "y axis")
.call(yAxis)
.append("text")
.attr("transform", "rotate(-90)")
.attr("y", 6)
.attr("dy", ".71em")
.style("text-anchor", "end")
.text("Errors of Estimates");
var line = d3.svg.line()
.x(
function(d) {
return d[0]; })
.y(function(d) { return d[1]; });
zeroline = Array([x(0),y(0)],[x(1),y(0)]);
svg.append("path")
.datum(zeroline)
.attr("class", "zeroline")
.attr("d", line)
stimuli = function(rate) {
R = 30;
irate = 1-rate;
q = R*(1-Math.sqrt(irate))
r = R - q/2;
return Array(r,q);
}
d3.csv("ex1.csv", function(error, data) {
/*data.forEach(function(d) {
d.S = +d.S
d.A = +d.A;
});*/
//realvalues.forEach(function(realval,index) {
points = Array();
data.forEach(function(d) {
rdata = Array();
for (i in realvalues) {
xx = realvalues[i] + Math.random()/50-0.01;
yy = +d[i]/100-realvalues[i];
rdata.push([x(xx),y(yy)]);
points.push([xx,yy]);
averages[i] += yy;
}
svg.append("path")
.datum(rdata)
.attr("class", function() {if (d.group == "2") return "group-2"; else return "line"})
.attr("d", line)
.attr("title",d.name)
.on("mouseover", function() {
d3.select(this)
.classed("active", true ) // should then accept fill from CSS
})
.on("mouseout", function() {
d3.select(this)
.classed("active", false)
});
});
svg.selectAll('circle')
.data(points)
.enter().append('circle')
.attr("cx", function(d) {return x(d[0]) })
.attr("cy", function(d) {return y(d[1]) })
.attr("r", 3)
.attr("class", "point")
.attr("title",function(d) {return "Error of colour estimate: " + Math.round(d[1]*1000)/10 + "% (percentage points)"})
.on("mouseover", function() {
d3.select(this)
.classed("active", true )
})
.on("mouseout", function() {
d3.select(this)
.classed("active", false)
});
for(i in averages) {
svg.append('circle')
.attr("cx", x(realvalues[i]))
.attr("cy", y(averages[i]/points.length*4))
.attr("r", 10)
.attr("class","average")
.attr("title","Average of error of colour estimate: " + (Math.round(averages[i]/points.length*4*1000)/10) + "% (percentage points)")
.on("mouseover", function() {
d3.select(this)
.classed("active", true )
})
.on("mouseout", function() {
d3.select(this)
.classed("active", false)
});
st = stimuli(realvalues[i]);
svg.append('circle')
.attr("cx", x(realvalues[i]))
.attr("cy", y(0.5))
.attr("r",st[0])
.attr("stroke-width",st[1])
.attr("class","stimuli")
.attr("title","Real percentage of colour: " + (Math.round(realvalues[i]*1000)/10) + "%")
.on("mouseover", function() {
d3.select(this)
.classed("active", true )
})
.on("mouseout", function() {
d3.select(this)
.classed("active", false)
});
}
});
</script>
<p>Estimates of <strong>percentage of colour in the 4 circles above</strong> (i.e., number of black pixels vs. number of black and white pixels). Experiment on 45 university students.</p>
<p>The values on x-axis are slightly randomly moved, so the overlapted points may be visible.</p>
</p>(<em>One group was asked about the percentage of black, the other about white - no significant difference</em>)</p>
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})(window,document,'script','//www.google-analytics.com/analytics.js','ga');
ga('create', 'UA-8592359-13', 'ocks.org');
ga('send', 'pageview');
</script>
</body>
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