Static ROC Chart

.block

license: CC0-1.0

README.md

A d3js ROC Chart. Might be useful for evaluating models.

the data shown are from models that predict various tennis stats. curious about the source data? browse through the R script that @ilanthedataman uses to generate the data.

check out the animated version

inspired by the Interactive ROC Curve bl.ock from ilanman

data.json

[
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"WNR": "0",
"FSP": "0",
"NPW": "0",
"USELESS": "0"
},
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},
{
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{
"X": "0.997",
"BPC": "1",
"WNR": "1",
"FSP": "0.992125984",
"NPW": "0.984",
"USELESS": "0.997"
},
{
"X": "0.998",
"BPC": "1",
"WNR": "1",
"FSP": "0.992125984",
"NPW": "0.984",
"USELESS": "0.998"
},
{
"X": "0.999",
"BPC": "1",
"WNR": "1",
"FSP": "0.992125984",
"NPW": "0.984",
"USELESS": "0.999"
},
{
"X": "1",
"BPC": "1",
"WNR": "1",
"FSP": "1",
"NPW": "1",
"USELESS": "1"
}
]

index.html

<!DOCTYPE html>
<meta charset="utf-8">
<head>
  <link href='https://fonts.googleapis.com/css?family=Roboto:400,700,300,100,900|Open+Sans:400,300,700,600,800' rel='stylesheet' type='text/css'>
</head>
<style>

body { 
  font-size: 12px; 
  font-family: 'Open Sans';
}

path { 
    stroke-width: 3;
    fill: none;
    opacity: .7;
}

.axis path,
.axis line {
    fill: none;
    stroke: grey;
    stroke-width: 2;
    shape-rendering: crispEdges;
    opacity: 1;
}

.d3-tip {
    font-family: Verdana;
    background: rgba(0, 0, 0, 0.8);
    padding: 8px;
    color: #fff; 
    z-index: 5070;
  }

</style>
<body>

<div id="roc"> </div>

<script src="https://d3js.org/d3.v3.min.js" charset="utf-8"></script>
<script src="rocChart.js"></script>
<script>

var margin = {top: 30, right: 61, bottom: 70, left: 61}, 
    width = 470 - margin.left - margin.right,
    height = 450 - margin.top - margin.bottom;

// fpr for "false positive rate"
// tpr for "true positive rate"

var rocChartOptions = {
  "margin": margin,
  "width": width,
  "height": height,
  "interpolationMode": "basis",
  "fpr": "X",
  "tprVariables": [
    {
      "name": "BPC",
      "label": "Break Points"
    },
    {
      "name": "WNR",
      "label": "Winners"
    },
    {
      "name": "FSP",
      "label": "First Serve %",
    },
    {
      "name": "NPW",
      "label": "Net Points Won"
    }
  ], 
  "animate": false,
  "smooth": true
}

d3.json("data.json", function(error, data) {
  rocChart("#roc", data, rocChartOptions)
})

</script>
</body>

rocChart.js

function rocChart(id, data, options) {

  // set default configuration
  var cfg = {
    "margin": {top: 30, right: 20, bottom: 70, left: 61},
    "width": 470,
    "height": 450,
    "interpolationMode": "basis",
    "ticks": undefined,
    "tickValues": [0, .1, .25, .5, .75, .9, 1],
    "fpr": "fpr",
    "tprVariables": [{
      "name": "tpr0",
    }], 
    "animate": true
  }

  //Put all of the options into a variable called cfg
  if('undefined' !== typeof options){
    for(var i in options){
      if('undefined' !== typeof options[i]){ cfg[i] = options[i]; }
    }//for i
  }//if

  var tprVariables = cfg["tprVariables"];
  // if values for labels are not specified
  // set the default values for the labels to the corresponding
  // true positive rate variable name
  tprVariables.forEach(function(d, i) {
    if('undefined' === typeof d.label){
      d.label = d.name;
    }

  })

  console.log("tprVariables", tprVariables);


  var interpolationMode = cfg["interpolationMode"],
      fpr = cfg["fpr"],
      width = cfg["width"],
      height = cfg["height"],
      animate = cfg["animate"]

  var format = d3.format('.2');
  var aucFormat = d3.format('.4r')
  
  var x = d3.scale.linear().range([0, width]);
  var y = d3.scale.linear().range([height, 0]);
  var color = d3.scale.category10() // d3.scale.ordinal().range(["steelblue", "red", "green", "purple"]);

  var xAxis = d3.svg.axis()
    .scale(x)
    .orient("top")
    .outerTickSize(0);

  var yAxis = d3.svg.axis()
    .scale(y)
    .orient("right")
    .outerTickSize(0);

  // set the axis ticks based on input parameters,
  // if ticks or tickValues are specified
  if('undefined' !== typeof cfg["ticks"]) {
    xAxis.ticks(cfg["ticks"]);
    yAxis.ticks(cfg["ticks"]);
  } else if ('undefined' !== typeof cfg["tickValues"]) {
    xAxis.tickValues(cfg["tickValues"]);
    yAxis.tickValues(cfg["tickValues"]);
  } else {
    xAxis.ticks(5);
    yAxis.ticks(5);
  }

  // apply the format to the ticks we chose
  xAxis.tickFormat(format);
  yAxis.tickFormat(format);
  
  // a function that returns a line generator
  function curve(data, tpr) {

     var lineGenerator = d3.svg.line()
      .interpolate(interpolationMode)
      .x(function(d) { return x(d[fpr]); })
      .y(function(d) { return y(d[tpr]); });

    return lineGenerator(data);
  }

  // a function that returns an area generator
  function areaUnderCurve(data, tpr) {

    var areaGenerator = d3.svg.area()
      .x(function(d) { return x(d[fpr]); })
      .y0(height)
      .y1(function(d) { return y(d[tpr]); });

    return areaGenerator(data);
  }

  var svg = d3.select("#roc")
    .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 + ")");

  x.domain([0, 1]);
  y.domain([0, 1]);

  svg.append("g")
      .attr("class", "x axis")
      .attr("transform", "translate(0," + height + ")")
      .call(xAxis)
      .append("text")            
        .attr("x", width / 2)
        .attr("y", 40 )
        .style("text-anchor", "middle")
        .text("False Positive Rate")
          
  var xAxisG = svg.select("g.x.axis");
            
  // draw the top boundary line
  xAxisG.append("line")
    .attr({
      "x1": -1,
      "x2": width + 1,
      "y1": -height,
      "y2": -height
    });

  // draw a bottom boundary line over the existing
  // x-axis domain path to make even corners
  xAxisG.append("line")
    .attr({
      "x1": -1,
      "x2": width + 1,
      "y1": 0,
      "y2": 0
    });


  // position the axis tick labels below the x-axis
  xAxisG.selectAll('.tick text')
    .attr('transform', 'translate(0,' + 25 + ')');

  // hide the y-axis ticks for 0 and 1
  xAxisG.selectAll("g.tick line")
    .style("opacity", function(d) {
      // if d is an integer
      return d % 1 === 0 ? 0 : 1;
    });

  svg.append("g")
    .attr("class", "y axis")
    .call(yAxis)
    .append("text")            
      .attr("transform", "rotate(-90)")
      .attr("y", -35)
      // manually configured so that the label is centered vertically 
      .attr("x", 0 - height/1.56)  
      .style("font-size","12px")              
      .style("text-anchor", "left")
      .text("True Positive Rate");

  yAxisG = svg.select("g.y.axis");

  // add the right boundary line
  yAxisG.append("line")
    .attr({
      "x1": width,
      "x2": width,
      "y1": 0,
      "y2": height
    })

  // position the axis tick labels to the right of 
  // the y-axis and
  // translate the first and the last tick labels
  // so that they are right aligned
  // or even with the 2nd digit of the decimal number
  // tick labels
  yAxisG.selectAll("g.tick text")
    .attr('transform', function(d) {
      if(d % 1 === 0) { // if d is an integer
        return 'translate(' + -22 + ',0)';
      } else if((d*10) % 1 === 0) { // if d is a 1 place decimal
        return 'translate(' + -32 + ',0)';
      } else {
        return 'translate(' + -42 + ',0)';
      }
  })

  // hide the y-axis ticks for 0 and 1
  yAxisG.selectAll("g.tick line")
    .style("opacity", function(d) {
      // if d is an integer
      return d % 1 === 0 ? 0 : 1;
    });

  // draw the random guess line
  svg.append("line") 
    .attr("class", "curve")         
    .style("stroke", "black")
    .attr({
      "x1": 0,
      "x2": width,
      "y1": height,
      "y2": 0
    })
    .style({
      "stroke-width": 2,
      "stroke-dasharray": "8",
      "opacity": 0.4
    })

  // draw the ROC curves
  function drawCurve(data, tpr, stroke){

    svg.append("path")
      .attr("class", "curve")
      .style("stroke", stroke)
      .attr("d", curve(data, tpr))
      .on('mouseover', function(d) {

        var areaID = "#" + tpr + "Area";
        svg.select(areaID)
          .style("opacity", .4)

        var aucText = "." + tpr + "text"; 
        svg.selectAll(aucText)
          .style("opacity", .9)
      })
      .on('mouseout', function(){
        var areaID = "#" + tpr + "Area";
        svg.select(areaID)
          .style("opacity", 0)

        var aucText = "." + tpr + "text"; 
        svg.selectAll(aucText)
          .style("opacity", 0)


      });
  }

  // draw the area under the ROC curves
  function drawArea(data, tpr, fill) {
    svg.append("path")
      .attr("class", "area")
      .attr("id", tpr + "Area")
      .style({
        "fill": fill,
        "opacity": 0
      })
      .attr("d", areaUnderCurve(data, tpr))
  }

  function drawAUCText(auc, tpr, label) {

    svg.append("g")
      .attr("class", tpr + "text")
      .style("opacity", 0)
      .attr("transform", "translate(" + .5*width + "," + .79*height + ")")
      .append("text")
        .text(label)
        .style({
          "fill": "white",
          "font-size": 18
        });

    svg.append("g")
      .attr("class", tpr + "text")
      .style("opacity", 0)
      .attr("transform", "translate(" + .5*width + "," + .84*height + ")")
      .append("text")
        .text("AUC = " + aucFormat(auc))
        .style({
          "fill": "white",
          "font-size": 18
        });

  }
  
  // calculate the area under each curve
  tprVariables.forEach(function(d){
    var tpr = d.name;
    var points = generatePoints(data, fpr, tpr);
    var auc = calculateArea(points);
    d["auc"] = auc;
  })

  console.log("tprVariables", tprVariables);

  // draw curves, areas, and text for each 
  // true-positive rate in the data
  tprVariables.forEach(function(d, i){
    console.log("drawing the curve for", d.label)
    console.log("color(", i, ")", color(i));
    var tpr = d.name;
    drawArea(data, tpr, color(i))
    drawCurve(data, tpr, color(i));
    drawAUCText(d.auc, tpr, d.label);
  })

  ///////////////////////////////////////////////////
  ////// animate through areas for each curve ///////
  ///////////////////////////////////////////////////

  if(animate && animate !== "false") {
    //sort tprVariables ascending by AUC
    var tprVariablesAscByAUC = tprVariables.sort(function(a, b) {
      return a.auc - b.auc;
    })

    console.log("tprVariablesAscByAUC", tprVariablesAscByAUC);
    
    for(var i = 0; i < tprVariablesAscByAUC.length; i++) {
      areaID = "#" + tprVariablesAscByAUC[i]["name"] + "Area";
      svg.select(areaID)
        .transition()
          .delay(2000 * (i+1))
          .duration(250)
          .style("opacity", .4)
        .transition()
          .delay(2000 * (i+2))
          .duration(250)
          .style("opacity", 0)

      textClass = "." + tprVariablesAscByAUC[i]["name"] + "text";
      svg.selectAll(textClass)
        .transition()
          .delay(2000 * (i+1))
          .duration(250)
          .style("opacity", .9)
        .transition()
          .delay(2000 * (i+2))
          .duration(250)
          .style("opacity", 0)
    }  
  }

  ///////////////////////////////////////////////////
  ///////////////////////////////////////////////////
  ///////////////////////////////////////////////////

  function generatePoints(data, x, y) {
    var points = [];
    data.forEach(function(d){
      points.push([ Number(d[x]), Number(d[y]) ])
    })
    return points;
  }

  // numerical integration
  function calculateArea(points) {
    var area = 0.0;
    var length = points.length;
    if (length <= 2) {
      return area;
    }
    points.forEach(function(d, i) {
      var x = 0,
          y = 1;

      if('undefined' !== typeof points[i-1]){
        area += (points[i][x] - points[i-1][x]) * (points[i-1][y] + points[i][y]) / 2;
      }
      
    });
    return area;
  }

} // rocChart

thumbnail.png