Occupational Hygiene Sample Quota Calculator<\/title>\n \n <script src=\"https:\/\/cdn.tailwindcss.com\"><\/script>\n \n <script id=\"MathJax-script\" async src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-mml-chtml.js\"><\/script>\n <style>\n \/* Scoped styles to prevent WordPress interference *\/\n .ydn-calculator-wrapper .ydn-result-card {\n transition: all 0.3s ease;\n }\n .ydn-calculator-wrapper input[type=number]::-webkit-inner-spin-button, \n .ydn-calculator-wrapper input[type=number]::-webkit-outer-spin-button { \n -webkit-appearance: none; margin: 0; \n }\n <\/style>\n<\/head>\n<body class=\"bg-gray-50 p-4\">\n\n <div class=\"ydn-calculator-wrapper max-w-2xl mx-auto bg-white rounded-2xl shadow-xl overflow-hidden border border-gray-100 text-left\">\n \n <div class=\"bg-slate-800 p-6 text-white text-center\">\n <h2 class=\"text-2xl font-bold m-0 text-white\">SEG Sample Quota Calculator<\/h2>\n <p class=\"text-slate-300 text-sm mt-1\">Based on Hypergeometric Distribution<\/p>\n <\/div>\n\n \n <div class=\"p-6 space-y-6\">\n \n \n <div class=\"grid grid-cols-1 md:grid-cols-2 gap-4\">\n <div>\n <label class=\"block text-sm font-semibold text-gray-700 mb-1\">Population Size ($N$)<\/label>\n <input type=\"number\" id=\"ydn-popN\" value=\"18\" class=\"w-full px-4 py-2 border rounded-lg focus:ring-2 focus:ring-slate-500 outline-none\">\n <\/div>\n <div>\n <label class=\"block text-sm font-semibold text-gray-700 mb-1\">Target Group % (e.g., Top 10%)<\/label>\n <div class=\"flex\">\n <input type=\"number\" id=\"ydn-targetPct\" value=\"10\" class=\"w-full px-4 py-2 border rounded-l-lg focus:ring-2 focus:ring-slate-500 outline-none\">\n <span class=\"inline-flex items-center px-3 rounded-r-lg border border-l-0 bg-gray-100 text-gray-500\">%<\/span>\n <\/div>\n <\/div>\n <div>\n <label class=\"block text-sm font-semibold text-gray-700 mb-1\">Number of Samples ($n$)<\/label>\n <input type=\"number\" id=\"ydn-sampleN\" value=\"12\" class=\"w-full px-4 py-2 border rounded-lg focus:ring-2 focus:ring-slate-500 outline-none\">\n <\/div>\n <div class=\"flex flex-col justify-end\">\n <button onclick=\"ydnCalculate()\" class=\"w-full bg-slate-700 hover:bg-slate-800 text-white font-bold py-2 rounded-lg transition duration-200\">\n Calculate Confidence\n <\/button>\n <\/div>\n <\/div>\n\n \n <div id=\"ydn-derivedInputs\" class=\"bg-slate-50 p-4 rounded-xl text-sm text-gray-600 grid grid-cols-2 gap-2 border border-slate-100\">\n <div>Target Workers ($N_0$): <span id=\"ydn-valN0\" class=\"font-bold text-slate-800\">2<\/span><\/div>\n <div>Non-Target ($N-N_0$): <span id=\"ydn-valNonTarget\" class=\"font-bold text-slate-800\">16<\/span><\/div>\n <\/div>\n\n \n <div id=\"ydn-resultArea\" class=\"ydn-result-card p-6 rounded-xl text-center space-y-4 border-2 border-transparent\">\n <div class=\"text-gray-500 text-sm font-medium uppercase tracking-wider\">Statistical Confidence Level<\/div>\n <div id=\"ydn-confidenceVal\" class=\"text-5xl font-black text-slate-800\">0%<\/div>\n <div id=\"ydn-riskVal\" class=\"text-sm text-gray-500\">Probability of missing target: 0%<\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <script>\n \/**\n * Calculate combinations nCr\n *\/\n function ydnCombinations(n, r) {\n if (r < 0 || r > n) return 0;\n if (r === 0 || r === n) return 1;\n if (r > n \/ 2) r = n - r;\n \n let res = 1;\n for (let i = 1; i <= r; i++) {\n res = res * (n - i + 1) \/ i;\n }\n return res;\n }\n\n \/**\n * Main calculation logic triggered by the button\n *\/\n function ydnCalculate() {\n const N = parseInt(document.getElementById('ydn-popN').value);\n const targetPct = parseFloat(document.getElementById('ydn-targetPct').value) \/ 100;\n const n = parseInt(document.getElementById('ydn-sampleN').value);\n \n \/\/ N0 is the number of workers in the high-risk group\n let N0 = Math.max(1, Math.round(N * targetPct));\n const nonTarget = N - N0;\n\n \/\/ Update derived values in UI\n document.getElementById('ydn-valN0').innerText = N0;\n document.getElementById('ydn-valNonTarget').innerText = nonTarget;\n\n const resultArea = document.getElementById('ydn-resultArea');\n const confidenceVal = document.getElementById('ydn-confidenceVal');\n \n \/\/ Error handling for invalid sample sizes\n if (n > N) {\n confidenceVal.innerText = \"N\/A\";\n document.getElementById('ydn-riskVal').innerText = \"Sample size cannot exceed population.\";\n resultArea.className = \"ydn-result-card p-6 rounded-xl text-center space-y-4 border-2 border-red-200 bg-red-50 text-red-800\";\n return;\n }\n\n \/\/ Probability calculation based on your mentoring notes\n const combNonTarget = ydnCombinations(nonTarget, n);\n const combTotal = ydnCombinations(N, n);\n \n const probMissing = combNonTarget \/ combTotal;\n const confidence = (1 - probMissing) * 100;\n\n \/\/ Update primary results\n confidenceVal.innerText = confidence.toFixed(1) + \"%\";\n document.getElementById('ydn-riskVal').innerText = \"Risk of missing highest exposed group: \" + (probMissing * 100).toFixed(1) + \"%\";\n \n \/\/ Dynamic visual feedback based on hygiene confidence thresholds\n if (confidence >= 95) {\n resultArea.className = \"ydn-result-card p-6 rounded-xl text-center space-y-4 border-2 border-green-500 bg-green-50\";\n confidenceVal.className = \"text-5xl font-black text-green-700\";\n } else if (confidence >= 80) {\n resultArea.className = \"ydn-result-card p-6 rounded-xl text-center space-y-4 border-2 border-blue-400 bg-blue-50\";\n confidenceVal.className = \"text-5xl font-black text-blue-700\";\n } else {\n resultArea.className = \"ydn-result-card p-6 rounded-xl text-center space-y-4 border-2 border-amber-300 bg-amber-50\";\n confidenceVal.className = \"text-5xl font-black text-amber-700\";\n }\n }\n\n \/\/ Run calculation on load to show default values\n window.onload = function() {\n ydnCalculate();\n };\n <\/script>\n\n<\/body>\n<\/html>\n\n\n<div class=\"markdown-block\"><p>$$Formula: P(r=0) = \\frac{(N-N_0)!}{(N-N_0-n)!} \\times \\frac{(N-n)!}{N!} $$<\/p>\n\n<p>$$ Confidence = 1 – P(r=0)$$<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Occupational Hygiene Sample Quota Calculator SEG Sample Quota Calculator Based on Hypergeometric Distribution Population Size ($N$) Target Group % (e.g., Top 10%) % Number of Samples ($n$) Calculate Confidence Target Workers ($N_0$): 2 Non-Target ($N-N_0$): 16 Statistical Confidence Level 0% Probability of missing target: 0%<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-249","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/pages\/249","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/comments?post=249"}],"version-history":[{"count":11,"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/pages\/249\/revisions"}],"predecessor-version":[{"id":272,"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/pages\/249\/revisions\/272"}],"wp:attachment":[{"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/media?parent=249"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}

{"id":249,"date":"2026-03-23T22:27:54","date_gmt":"2026-03-23T14:27:54","guid":{"rendered":"https:\/\/yoyodyne.com.au\/?page_id=249"},"modified":"2026-03-25T07:31:49","modified_gmt":"2026-03-24T23:31:49","slug":"sample-quota-calculator","status":"publish","type":"page","link":"https:\/\/yoyodyne.com.au\/index.php\/sample-quota-calculator\/","title":{"rendered":"Sample Quota calculator"},"content":{"rendered":"\n\n\n\n \n \n Occupational Hygiene Sample Quota Calculator<\/title>\n \n <script src=\"https:\/\/cdn.tailwindcss.com\"><\/script>\n \n <script id=\"MathJax-script\" async src=\"https:\/\/cdn.jsdelivr.net\/npm\/mathjax@3\/es5\/tex-mml-chtml.js\"><\/script>\n <style>\n \/* Scoped styles to prevent WordPress interference *\/\n .ydn-calculator-wrapper .ydn-result-card {\n transition: all 0.3s ease;\n }\n .ydn-calculator-wrapper input[type=number]::-webkit-inner-spin-button, \n .ydn-calculator-wrapper input[type=number]::-webkit-outer-spin-button { \n -webkit-appearance: none; margin: 0; \n }\n <\/style>\n<\/head>\n<body class=\"bg-gray-50 p-4\">\n\n <div class=\"ydn-calculator-wrapper max-w-2xl mx-auto bg-white rounded-2xl shadow-xl overflow-hidden border border-gray-100 text-left\">\n \n <div class=\"bg-slate-800 p-6 text-white text-center\">\n <h2 class=\"text-2xl font-bold m-0 text-white\">SEG Sample Quota Calculator<\/h2>\n <p class=\"text-slate-300 text-sm mt-1\">Based on Hypergeometric Distribution<\/p>\n <\/div>\n\n \n <div class=\"p-6 space-y-6\">\n \n \n <div class=\"grid grid-cols-1 md:grid-cols-2 gap-4\">\n <div>\n <label class=\"block text-sm font-semibold text-gray-700 mb-1\">Population Size ($N$)<\/label>\n <input type=\"number\" id=\"ydn-popN\" value=\"18\" class=\"w-full px-4 py-2 border rounded-lg focus:ring-2 focus:ring-slate-500 outline-none\">\n <\/div>\n <div>\n <label class=\"block text-sm font-semibold text-gray-700 mb-1\">Target Group % (e.g., Top 10%)<\/label>\n <div class=\"flex\">\n <input type=\"number\" id=\"ydn-targetPct\" value=\"10\" class=\"w-full px-4 py-2 border rounded-l-lg focus:ring-2 focus:ring-slate-500 outline-none\">\n <span class=\"inline-flex items-center px-3 rounded-r-lg border border-l-0 bg-gray-100 text-gray-500\">%<\/span>\n <\/div>\n <\/div>\n <div>\n <label class=\"block text-sm font-semibold text-gray-700 mb-1\">Number of Samples ($n$)<\/label>\n <input type=\"number\" id=\"ydn-sampleN\" value=\"12\" class=\"w-full px-4 py-2 border rounded-lg focus:ring-2 focus:ring-slate-500 outline-none\">\n <\/div>\n <div class=\"flex flex-col justify-end\">\n <button onclick=\"ydnCalculate()\" class=\"w-full bg-slate-700 hover:bg-slate-800 text-white font-bold py-2 rounded-lg transition duration-200\">\n Calculate Confidence\n <\/button>\n <\/div>\n <\/div>\n\n \n <div id=\"ydn-derivedInputs\" class=\"bg-slate-50 p-4 rounded-xl text-sm text-gray-600 grid grid-cols-2 gap-2 border border-slate-100\">\n <div>Target Workers ($N_0$): <span id=\"ydn-valN0\" class=\"font-bold text-slate-800\">2<\/span><\/div>\n <div>Non-Target ($N-N_0$): <span id=\"ydn-valNonTarget\" class=\"font-bold text-slate-800\">16<\/span><\/div>\n <\/div>\n\n \n <div id=\"ydn-resultArea\" class=\"ydn-result-card p-6 rounded-xl text-center space-y-4 border-2 border-transparent\">\n <div class=\"text-gray-500 text-sm font-medium uppercase tracking-wider\">Statistical Confidence Level<\/div>\n <div id=\"ydn-confidenceVal\" class=\"text-5xl font-black text-slate-800\">0%<\/div>\n <div id=\"ydn-riskVal\" class=\"text-sm text-gray-500\">Probability of missing target: 0%<\/div>\n <\/div>\n <\/div>\n <\/div>\n\n <script>\n \/**\n * Calculate combinations nCr\n *\/\n function ydnCombinations(n, r) {\n if (r < 0 || r > n) return 0;\n if (r === 0 || r === n) return 1;\n if (r > n \/ 2) r = n - r;\n \n let res = 1;\n for (let i = 1; i <= r; i++) {\n res = res * (n - i + 1) \/ i;\n }\n return res;\n }\n\n \/**\n * Main calculation logic triggered by the button\n *\/\n function ydnCalculate() {\n const N = parseInt(document.getElementById('ydn-popN').value);\n const targetPct = parseFloat(document.getElementById('ydn-targetPct').value) \/ 100;\n const n = parseInt(document.getElementById('ydn-sampleN').value);\n \n \/\/ N0 is the number of workers in the high-risk group\n let N0 = Math.max(1, Math.round(N * targetPct));\n const nonTarget = N - N0;\n\n \/\/ Update derived values in UI\n document.getElementById('ydn-valN0').innerText = N0;\n document.getElementById('ydn-valNonTarget').innerText = nonTarget;\n\n const resultArea = document.getElementById('ydn-resultArea');\n const confidenceVal = document.getElementById('ydn-confidenceVal');\n \n \/\/ Error handling for invalid sample sizes\n if (n > N) {\n confidenceVal.innerText = \"N\/A\";\n document.getElementById('ydn-riskVal').innerText = \"Sample size cannot exceed population.\";\n resultArea.className = \"ydn-result-card p-6 rounded-xl text-center space-y-4 border-2 border-red-200 bg-red-50 text-red-800\";\n return;\n }\n\n \/\/ Probability calculation based on your mentoring notes\n const combNonTarget = ydnCombinations(nonTarget, n);\n const combTotal = ydnCombinations(N, n);\n \n const probMissing = combNonTarget \/ combTotal;\n const confidence = (1 - probMissing) * 100;\n\n \/\/ Update primary results\n confidenceVal.innerText = confidence.toFixed(1) + \"%\";\n document.getElementById('ydn-riskVal').innerText = \"Risk of missing highest exposed group: \" + (probMissing * 100).toFixed(1) + \"%\";\n \n \/\/ Dynamic visual feedback based on hygiene confidence thresholds\n if (confidence >= 95) {\n resultArea.className = \"ydn-result-card p-6 rounded-xl text-center space-y-4 border-2 border-green-500 bg-green-50\";\n confidenceVal.className = \"text-5xl font-black text-green-700\";\n } else if (confidence >= 80) {\n resultArea.className = \"ydn-result-card p-6 rounded-xl text-center space-y-4 border-2 border-blue-400 bg-blue-50\";\n confidenceVal.className = \"text-5xl font-black text-blue-700\";\n } else {\n resultArea.className = \"ydn-result-card p-6 rounded-xl text-center space-y-4 border-2 border-amber-300 bg-amber-50\";\n confidenceVal.className = \"text-5xl font-black text-amber-700\";\n }\n }\n\n \/\/ Run calculation on load to show default values\n window.onload = function() {\n ydnCalculate();\n };\n <\/script>\n\n<\/body>\n<\/html>\n\n\n<div class=\"markdown-block\"><p>$$Formula: P(r=0) = \\frac{(N-N_0)!}{(N-N_0-n)!} \\times \\frac{(N-n)!}{N!} $$<\/p>\n\n<p>$$ Confidence = 1 – P(r=0)$$<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Occupational Hygiene Sample Quota Calculator SEG Sample Quota Calculator Based on Hypergeometric Distribution Population Size ($N$) Target Group % (e.g., Top 10%) % Number of Samples ($n$) Calculate Confidence Target Workers ($N_0$): 2 Non-Target ($N-N_0$): 16 Statistical Confidence Level 0% Probability of missing target: 0%<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-249","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/pages\/249","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/comments?post=249"}],"version-history":[{"count":11,"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/pages\/249\/revisions"}],"predecessor-version":[{"id":272,"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/pages\/249\/revisions\/272"}],"wp:attachment":[{"href":"https:\/\/yoyodyne.com.au\/index.php\/wp-json\/wp\/v2\/media?parent=249"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}