{"id":890,"date":"2026-11-12T07:50:41","date_gmt":"2026-11-12T07:50:41","guid":{"rendered":"https:\/\/digivendtechnologies.in\/sociokind\/?page_id=890"},"modified":"2026-11-12T12:00:06","modified_gmt":"2026-11-12T12:00:06","slug":"sample-size-calculator","status":"publish","type":"page","link":"https:\/\/digivendtechnologies.in\/sociokind\/sample-size-calculator\/","title":{"rendered":"Sample Size Calculator"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"890\" class=\"elementor elementor-890\">\n\t\t\t\t<div class=\"elementor-element elementor-element-1ceacbb page_services  e-flex e-con-boxed e-con e-parent\" data-id=\"1ceacbb\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-1fd3147 e-con-full e-flex e-con e-child\" data-id=\"1fd3147\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-b189040 e-con-full e-flex e-con e-child\" data-id=\"b189040\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-ceb16c9 elementor-widget elementor-widget-heading\" data-id=\"ceb16c9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Sample Size Calculator<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-a446e4e e-flex e-con-boxed e-con e-parent\" data-id=\"a446e4e\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t<div class=\"elementor-element elementor-element-07a0d4a e-con-full e-flex e-con e-child\" data-id=\"07a0d4a\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-db07162 e-con-full e-flex e-con e-child\" data-id=\"db07162\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t<div class=\"elementor-element elementor-element-bb04307 e-con-full e-flex e-con e-child\" data-id=\"bb04307\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-c3ea7a4 elementor-widget__width-auto elementor-widget elementor-widget-text-editor\" data-id=\"c3ea7a4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\tSAMPLE SIZE CALCULATOR\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-42707ae elementor-widget elementor-widget-heading\" data-id=\"42707ae\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Get the Right Sample Size for Reliable Research<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8ab59c1 elementor-widget elementor-widget-text-editor\" data-id=\"8ab59c1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\tDetermine the ideal number of respondents required for your survey with our easy-to-use Sample Size Calculator.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-68a61b6 elementor-widget elementor-widget-text-editor\" data-id=\"68a61b6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\tWhether you&#8217;re conducting baseline assessments, impact evaluations, or community research, get a reliable sample size based on your research parameters.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-89f6b12 elementor-widget elementor-widget-heading\" data-id=\"89f6b12\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Why Use Our Calculator?<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5e2754a elementor-widget elementor-widget-text-editor\" data-id=\"5e2754a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<ul data-spread=\"false\" data-pm-slice=\"3 3 []\"><li><p>Accurate Sample Size Estimation<\/p><\/li><li><p>Flexible Confidence Levels<\/p><\/li><li><p>Customisable Margin of Error<\/p><\/li><li><p>Cluster Sampling Adjustment<\/p><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aceb7b7 elementor-widget elementor-widget-text-editor\" data-id=\"aceb7b7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\tMake informed research decisions with the right sample size.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-89625b4 e-con-full e-flex e-con e-child\" data-id=\"89625b4\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-ac1b435 elementor-widget__width-initial elementor-widget elementor-widget-html\" data-id=\"ac1b435\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t\t\n<style>\n\/* Scoped to .cochran so it can be pasted into any site without clashing. *\/\n.cochran{\n  --ink:#14233a; --muted:#5a6b82; --line:#d5dde8; --paper:#ffffff; --wash:#f3f6fa;\n  --accent:#00944b; --accent-soft:#e0f1ee; --warn:#a33a2b;\n  font-family:\"Segoe UI\",system-ui,-apple-system,Roboto,Arial,sans-serif;\n  color:var(--ink); max-width:680px; margin:24px auto; padding:0 16px; box-sizing:border-box;\n}\n.cochran *{box-sizing:border-box}\n.cochran h2{font-family:Georgia,\"Times New Roman\",serif;font-size:1.8rem;line-height:1.25;margin:0 0 6px;font-weight:700}\n.cochran .lead{color:var(--muted);margin:0 0 20px;line-height:1.5;max-width:60ch}\n.cochran .card{background:var(--paper);border:1px solid var(--line);border-radius:10px;padding:18px 20px;margin-bottom:14px}\n.cochran .card h3{font-size:1rem;line-height:1.4;margin:0 0 10px;font-weight:600}\n.cochran label{display:block;font-weight:600;font-size:.92rem;margin:0 0 5px}\n.cochran .field + .field{margin-top:12px}\n.cochran .hint{display:block;font-weight:400;color:var(--muted);font-size:.8rem;margin-top:3px}\n.cochran input,.cochran select{width:100%;font:inherit;padding:10px 12px;border:1px solid var(--line);border-radius:6px;background:#fff;color:var(--ink)}\n.cochran input:focus-visible,.cochran select:focus-visible{outline:3px solid var(--accent-soft);border-color:var(--accent)}\n.cochran .step{margin-top:12px;background:var(--wash);border-radius:6px;padding:9px 12px;font-size:.88rem;color:var(--muted);line-height:1.6;font-variant-numeric:tabular-nums;min-height:2.4em}\n.cochran .step b{color:var(--ink);font-weight:600}\n.cochran .final{background:var(--accent);border-color:var(--accent);color:#fff}\n.cochran .final h3{color:#d6efeb}\n.cochran .final .num{font-family:Georgia,\"Times New Roman\",serif;font-size:3.4rem;line-height:1.1;font-variant-numeric:tabular-nums}\n.cochran .error{color:#ffd9d3;font-size:.9rem;min-height:1.2em;margin-top:6px}\n.cochran .formula{margin-top:16px;font-size:.85rem;color:var(--muted);line-height:1.8}\n.cochran .formula code{background:var(--wash);padding:2px 6px;border-radius:4px;color:var(--ink);white-space:nowrap}\n@media (max-width:480px){ .cochran .final .num{font-size:2.6rem} }\n<\/style>\n\n\n<section class=\"cochran\" aria-labelledby=\"cochran-title\">\n  <h2 id=\"cochran-title\">Cochran\u2019s Formula<\/h2>\n  <p class=\"lead\">Calculate the sample size you need for a survey. Each step is shown as you fill in the values.<\/p>\n\n  <div class=\"card\">\n    <h3>p = estimated proportion of the attribute in the population<\/h3>\n    <label for=\"cc-p\">Enter p (%)\n      <span class=\"hint\">Not sure? Enter 50 for the safest (largest) sample.<\/span><\/label>\n    <input id=\"cc-p\" type=\"number\" min=\"1\" max=\"99\" step=\"any\" placeholder=\"e.g. 50\" inputmode=\"decimal\">\n    <div class=\"step\" id=\"cc-pq\" aria-live=\"polite\"><\/div>\n  <\/div>\n\n  <div class=\"card\">\n    <h3>e = margin of error (precision level)<\/h3>\n    <select id=\"cc-e\" aria-label=\"Margin of error\">\n      <option value=\"\">Select<\/option>\n      <option value=\"0.03\">0.03<\/option>\n      <option value=\"0.05\">0.05<\/option>\n      <option value=\"0.1\">0.1<\/option>\n    <\/select>\n    <div class=\"step\" id=\"cc-e2\" aria-live=\"polite\"><\/div>\n  <\/div>\n\n  <div class=\"card\">\n    <h3>Z = value corresponding to confidence level (e.g., 1.96 for 95% confidence)<\/h3>\n    <select id=\"cc-z\" aria-label=\"Confidence level\">\n      <option value=\"\">Select<\/option>\n      <option value=\"1.28\">80%<\/option>\n      <option value=\"1.44\">85%<\/option>\n      <option value=\"1.64\">90%<\/option>\n      <option value=\"1.96\">95%<\/option>\n      <option value=\"2.33\">98%<\/option>\n      <option value=\"2.58\">99%<\/option>\n    <\/select>\n    <div class=\"step\" id=\"cc-zz\" aria-live=\"polite\"><\/div>\n  <\/div>\n\n  <div class=\"card\">\n    <div class=\"field\">\n      <label for=\"cc-rho\">\u03c1 [intra-cluster correlation coefficient (ICC)]\n        <span class=\"hint\">Optional. A value between 0 and 1, e.g. 0.05<\/span><\/label>\n      <input id=\"cc-rho\" type=\"number\" min=\"0\" max=\"1\" step=\"any\" placeholder=\"e.g. 0.05\" inputmode=\"decimal\">\n    <\/div>\n    <div class=\"field\">\n      <label for=\"cc-m\">m = average number of respondents per cluster\n        <span class=\"hint\">Optional. Leave \u03c1 and m empty if you are not using clusters.<\/span><\/label>\n      <input id=\"cc-m\" type=\"number\" min=\"1\" step=\"1\" placeholder=\"e.g. 10\" inputmode=\"numeric\">\n    <\/div>\n    <div class=\"step\" id=\"cc-deff\" aria-live=\"polite\"><\/div>\n  <\/div>\n\n  <div class=\"card final\">\n    <h3>Final Sample Size<\/h3>\n    <div class=\"num\" id=\"cc-n\" aria-live=\"polite\">\u2013<\/div>\n    <div class=\"error\" id=\"cc-err\" role=\"alert\"><\/div>\n  <\/div>\n\n  <p class=\"formula\">\n    <code>n\u2080 = Z\u00b2 \u00d7 p \u00d7 q \/ e\u00b2<\/code> where <code>q = 1 \u2212 p<\/code><br>\n    <code>Design Effect = 1 + (m \u2212 1) \u00d7 \u03c1<\/code>, then <code>n = n\u2080 \u00d7 Design Effect<\/code>\n  <\/p>\n<\/section>\n\n<script>\n(function(){\n  var $ = function(id){ return document.getElementById(id); };\n  var fmt = function(x){ return x.toLocaleString(\"en-IN\"); };\n\n  function calc(){\n    var pRaw = $(\"cc-p\").value.trim(), eRaw = $(\"cc-e\").value, zRaw = $(\"cc-z\").value;\n    var rhoRaw = $(\"cc-rho\").value.trim(), mRaw = $(\"cc-m\").value.trim();\n    var err = \"\", n = \"\u2013\";\n\n    var p = pRaw === \"\" ? null : parseFloat(pRaw) \/ 100;\n    var e = eRaw === \"\" ? null : parseFloat(eRaw);\n    var z = zRaw === \"\" ? null : parseFloat(zRaw);\n    var rho = rhoRaw === \"\" ? null : parseFloat(rhoRaw);\n    var m = mRaw === \"\" ? null : parseFloat(mRaw);\n\n    \/\/ step lines\n    var pOk = p !== null && !isNaN(p) && p > 0 && p < 1;\n    $(\"cc-pq\").innerHTML = pOk\n      ? \"q = <b>\" + ((1 - p) * 100).toFixed(2) + \"%<\/b> &nbsp;\u00b7&nbsp; p \u00d7 q = <b>\" + (p * (1 - p)).toFixed(4) + \"<\/b>\"\n      : (pRaw === \"\" ? \"\" : \"Enter a value between 1 and 99.\");\n    $(\"cc-e2\").innerHTML = e !== null ? \"e\u00b2 = <b>\" + (e * e).toFixed(4) + \"<\/b>\" : \"\";\n    $(\"cc-zz\").innerHTML = z !== null ? \"Z = <b>\" + z + \"<\/b> &nbsp;\u00b7&nbsp; Z\u00b2 = <b>\" + (z * z).toFixed(2) + \"<\/b>\" : \"\";\n\n    \/\/ design effect\n    var deff = 1, clusterOk = true;\n    if (rho === null && m === null) {\n      $(\"cc-deff\").innerHTML = \"No clusters: Design Effect = <b>1.00<\/b>\";\n    } else if (rho === null || m === null) {\n      clusterOk = false;\n      $(\"cc-deff\").innerHTML = \"Fill both \u03c1 and m, or leave both empty.\";\n    } else if (isNaN(rho) || rho < 0 || rho > 1 || isNaN(m) || m < 1) {\n      clusterOk = false;\n      $(\"cc-deff\").innerHTML = \"\u03c1 must be between 0 and 1, and m must be 1 or more.\";\n    } else {\n      deff = 1 + (m - 1) * rho;\n      $(\"cc-deff\").innerHTML = \"Design Effect = <b>\" + deff.toFixed(2) + \"<\/b>\";\n    }\n\n    if (!clusterOk) { err = \"Check the cluster values.\"; }\n    else if (pOk && e !== null && z !== null) {\n      n = fmt(Math.ceil((z * z * p * (1 - p)) \/ (e * e) * deff - 1e-9));\n    }\n    $(\"cc-n\").textContent = n;\n    $(\"cc-err\").textContent = err;\n  }\n\n  [\"cc-p\",\"cc-e\",\"cc-z\",\"cc-rho\",\"cc-m\"].forEach(function(id){\n    $(id).addEventListener(\"input\", calc);\n    $(id).addEventListener(\"change\", calc);\n  });\n  calc();\n})();\n<\/script>\n\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Sample Size Calculator SAMPLE SIZE CALCULATOR Get the Right Sample Size for Reliable Research Determine the ideal number of respondents required for your survey with our easy-to-use Sample Size Calculator.Whether you&#8217;re conducting baseline assessments, impact evaluations, or community research, get a reliable sample size based on your research parameters. Why Use Our Calculator? Accurate Sample &hellip; <a href=\"https:\/\/digivendtechnologies.in\/sociokind\/sample-size-calculator\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Sample Size Calculator&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"elementor_header_footer","meta":{"footnotes":""},"class_list":["post-890","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/digivendtechnologies.in\/sociokind\/wp-json\/wp\/v2\/pages\/890","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/digivendtechnologies.in\/sociokind\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/digivendtechnologies.in\/sociokind\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/digivendtechnologies.in\/sociokind\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/digivendtechnologies.in\/sociokind\/wp-json\/wp\/v2\/comments?post=890"}],"version-history":[{"count":31,"href":"https:\/\/digivendtechnologies.in\/sociokind\/wp-json\/wp\/v2\/pages\/890\/revisions"}],"predecessor-version":[{"id":1196,"href":"https:\/\/digivendtechnologies.in\/sociokind\/wp-json\/wp\/v2\/pages\/890\/revisions\/1196"}],"wp:attachment":[{"href":"https:\/\/digivendtechnologies.in\/sociokind\/wp-json\/wp\/v2\/media?parent=890"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}