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calc.html
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<!doctype html>
<html lang="en">
<head>
<meta charset="utf-8">
<title>A/B Test Calculator</title>
<meta name="viewport" content="width=device-width, minimum-scale=1, initial-scale=1">
<script>(function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://gtm.vreeman.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-WKSDWK');</script>
<style>
html {
overflow-y: scroll;
overflow-x: hidden;
-webkit-text-size-adjust: 100%;
-ms-text-size-adjust: 100%;
}
body {
margin: 1% auto;
padding: 0 3%;
max-width: 30em;
font: 1.125em/1.6 BlinkMacSystemFont, -apple-system, "Segoe UI", system-ui, Roboto, Helvetica, Arial, sans-serif, "Apple Color Emoji", "Segoe UI Emoji", "Segoe UI Symbol";
}
footer, small {
font-size: 80%;
}
b, dt, strong {
font-weight: 700;
}
h1, h2, h3 {
line-height: 1.2;
}
a {
background-color: transparent;
}
code {
font-family: SFMono-Regular, Consolas, 'Liberation Mono', Menlo, Courier, monospace;
font-size: 1em;
}
input, textarea {
width: 95%;
display: block;
padding: .5em 1%;
font-size: 1em;
}
fieldset, input, textarea {
margin-bottom: 1.5em;
}
textarea {
margin-top: 1.5em;
resize: vertical;
}
</style>
<link rel="canonical" href="https://vreeman.com/">
<meta name="referrer" content="no-referrer">
<meta name="robots" content="noindex,follow">
<meta name="apple-mobile-web-app-capable" content="yes">
<meta name="apple-mobile-web-app-status-bar-style" content="black">
<meta name="apple-mobile-web-app-title" content="Test Calculator">
<link rel="apple-touch-icon" href="apple-touch-icon.png">
<meta name="theme-color" content="#000">
</head>
<body>
<noscript><iframe src="https://gtm.vreeman.com/ns.html?id=GTM-WKSDWK" height="0" width="0" style="display:none;visibility:hidden"></iframe></noscript>
<header>
<h1>A/B Test Calculator</h1>
<p><a href="https://vreeman.com/">Home</a> | <a href="https://vreeman.com/tools">Tools</a></p>
</header>
<form onkeyup="calcResults()">
<fieldset>
<legend>Add the numbers</legend>
<label for="visitorsA">Visitors A</label>
<input type="number" name="visitorsA" id="visitorsA" value="5000">
<label for="visitorsB">Visitors B</label>
<input type="number" name="visitorsB" id="visitorsB" value="5000">
<label for="conversionsA">Conversions A</label>
<input type="number" name="conversionsA" id="conversionsA" value="100">
<label for="conversionsB">Conversions B</label>
<input type="number" name="conversionsB" id="conversionsB" value="130">
</fieldset>
</form>
<h2>Results</h2>
<ul>
<li>Conversion Rate A: <span id="conversionrateA">2%</span></li>
<li>Conversion Rate B: <span id="conversionrateB">2.6%</span></li>
<li>Conversion Rate Difference: <span id="conversionrateDiff">30%</span></li>
</ul>
<ul>
<li>Sample ratio: <span id="sampleratio"></span></li>
<li>Standard error A: <span id="standarderrorA"></span></li>
<li>Standard error B: <span id="standarderrorB"></span></li>
<li>Standard error Difference: <span id="standarderrorDiff"></span></li>
<li>Z-score: <span id="zscore"></span></li>
<li>P-value: <span id="pvalue"></span></li>
</ul>
<hr>
<footer>
<p>Vreeman.com is the personal website of Simon Vreeman.</p>
<dl>
<dt>Privacy & Cookie Policy</dt>
<dd>Vreeman.com uses Google Analytics (<code>_ga</code>, <code>FPID</code>, & <code>FPLC</code>), and Google Tag Manager Server-side to measure and analyze anonymous user behavior data to improve the website in an ethical manner.</dd>
<dt>Colophon</dt>
<dd>Vreeman.com uses Cloudflare Pages to ensure it loads fast and the source code is hosted on Github.</dd>
<dt>Licenses</dt>
<dd>Text is licensed under <a href="https://creativecommons.org/licenses/by/4.0/" rel="license" title="Creative Commons Attribution 4.0 International License" data-vars-outbound-text="Creative Commons License" data-vars-outbound-link="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</a>. <code></></code> is licensed under <a href="https://opensource.org/licenses/MIT" rel="license" title="MIT License" data-vars-outbound-text="MIT License" data-vars-outbound-link="https://opensource.org/licenses/MIT">MIT License</a>.</dd>
</dl>
</footer>
<script>
function calcResults() {
var visitorsA = parseInt(document.getElementById("visitorsA").value);
var visitorsB = parseInt(document.getElementById("visitorsB").value);
var conversionsA = parseInt(document.getElementById("conversionsA").value);
var conversionsB = parseInt(document.getElementById("conversionsB").value);
var setConversionrateA = document.getElementById("conversionrateA");
var setConversionrateB = document.getElementById("conversionrateB");
var setConversionrateDiff = document.getElementById("conversionrateDiff");
var setSampleratio = document.getElementById("sampleratio");
var setStandarderrorA = document.getElementById("standarderrorA");
var setStandarderrorB = document.getElementById("standarderrorB");
var setStandarderrorDiff = document.getElementById("standarderrorDiff");
var setZscore = document.getElementById("zscore");
var setPvalue = document.getElementById("pvalue");
var mean = 0;
var standard_deviation = 1;
var calcConversionrateA = (conversionsA / visitorsA);
var calcConversionrateB = (conversionsB / visitorsB);
var calcConversionrateDiff = ((calcConversionrateB - calcConversionrateA) / calcConversionrateA) * 100;
var calcSampleratio = (visitorsA / (visitorsA + visitorsB));
var calcStandarderrorA = Math.sqrt( ((conversionsA / visitorsA) * (1 - (conversionsA / visitorsA)) / visitorsA ) );
var calcStandarderrorB = Math.sqrt( ((conversionsB / visitorsB) * (1 - (conversionsB / visitorsB)) / visitorsB ) );
var standarderrorDiff = Math.pow((Math.pow(calcStandarderrorA, 2) + Math.pow(calcStandarderrorB, 2)), 0.5);
var zscore = (calcConversionrateB - calcConversionrateA) / standarderrorDiff;
var conversionrateA = Math.round((calcConversionrateA * 100) * 100) / 100 + '%';
var conversionrateB = Math.round((calcConversionrateB * 100) * 100) / 100 + '%';
var conversionrateDiff = Math.round(calcConversionrateDiff * 100) / 100 + '%';
var sampleRatio = Math.round(calcSampleratio * 1000) / 1000;
with(Math) {
probability = normalcdf((zscore - mean) / standard_deviation);
pvalue = 1 - probability;
probability = Math.round((probability * 100) * 100) / 100 + '%';
}
setConversionrateA.innerHTML = conversionrateA;
setConversionrateB.innerHTML = conversionrateB;
setConversionrateDiff.innerHTML = conversionrateDiff;
setSampleratio.innerHTML = sampleRatio;
setStandarderrorA.innerHTML = calcStandarderrorA;
setStandarderrorB.innerHTML = calcStandarderrorB;
setStandarderrorDiff.innerHTML = standarderrorDiff;
setZscore.innerHTML = zscore;
setPvalue.innerHTML = pvalue + ' (' + probability + ')';
}
function normalcdf(X) {
var T = 1 / (1 + .2316419 * Math.abs(X));
var D = .3989423 * Math.exp(-X * X / 2);
var probability = D * T * (.3193815 + T * (-.3565638 + T * (1.781478 + T * (-1.821256 + T * 1.330274))));
if (X > 0) {
probability = 1 - probability;
}
return probability;
}
</script>
</body>
</html>