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Original file (2,500 × 2,500 pixels, file size: 139 KB, MIME type: image/png)
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Summary
| Description |
100 visualizations of an empirical distribution function, generated using JavaScript. The grey bars show the samples corresponding to the ECDF and the green curve is the theoretical distribution from which the samples have been drawn. |
| Date | |
| Source | Own work |
| Author | nagualdesign |
These graphs were generated using the following HTML/JavaScript code. It uses File:ECDF-0.png—a blank graph, blue.png—a single blue pixel, and grey.png—a single grey pixel. For more information contact nagualdesign:
<!DOCTYPE html>
<html lang="en">
<head>
<script>
function gaussian() {
// Generate a random number; mean=0, standard deviation=1
return Math.sqrt(-2*Math.log(Math.random()))*Math.cos((2*Math.PI)*Math.random());
}
function run() {
// Set number of graphs, samples per graph, number of columns
var graphs=100, samples=20, columns=10, content='', s=new Array;
for (set=0; set<graphs; set++) {
// Generate a set of samples, scaled from -100 to +100
s[set]=new Array;
for (sample=0; sample<samples; sample++) s[set][sample]=Math.round(gaussian()*25);
// Sort samples into ascending order
s[set].sort(function(a, b){return a-b});
// Display blank graph
var offsetX=(set-(columns*Math.floor(set/columns)))*250, offsetY=Math.floor(set/columns)*250;
content+='<img src="ECDF-0.png" style="position:absolute; top:'+offsetY+'px; left:'+offsetX+'px; z-index:-1;">';
for (sample=0; sample<samples; sample++) {
// Step function 'tread'
content+='<img src="blue.png" width="'+(1+Math.abs(s[set][sample-1]-s[set][sample]))+'px" height="1px" style="position:absolute; top:'+(210+offsetY-((200/samples)*sample))+'px; left:'+(s[set][sample-1]+139+offsetX)+'px;">';
// Step function 'riser'
content+='<img src="blue.png" width="1px" height="'+(200/samples)+'px" style="position:absolute; top:'+(211+offsetY-((200/samples)*(sample+1)))+'px; left:'+(s[set][sample]+139+offsetX)+'px;">';
// Display samples
content+='<img src="grey.png" width="1px" height="9px" style="position:absolute; top:'+(201+offsetY)+'px; left:'+(s[set][sample]+139+offsetX)+'px;">';
}
}
document.body.innerHTML=content;
}
</script>
</head>
<body onLoad="run();">
</body>
</html>
Licensing
|
I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 05:11, 6 February 2018 | | 2,500 × 2,500 (139 KB) | Nagualdesign | Improved antialiasing. |
| 13:46, 30 January 2018 |  | 2,500 × 2,500 (143 KB) | Nagualdesign | Updated. | |
| 11:48, 30 January 2018 |  | 2,500 × 2,500 (152 KB) | Nagualdesign | == {{int:filedesc}} == {{Information |Description={{en|1=100 visualizations of an empirical distribution function, generated using JavaScript. The grey bars show the samples corresponding to the ECDF and the green... |
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