{"id":598,"date":"2023-07-29T09:18:19","date_gmt":"2023-07-29T09:18:19","guid":{"rendered":"https:\/\/statorials.org\/nl\/continuiteitscorrectiecalculator\/"},"modified":"2023-07-29T09:18:19","modified_gmt":"2023-07-29T09:18:19","slug":"continuiteitscorrectiecalculator","status":"publish","type":"post","link":"https:\/\/statorials.org\/nl\/continuiteitscorrectiecalculator\/","title":{"rendered":"Continu\u00efteitscorrectiecalculator"},"content":{"rendered":"<p><script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjs\/5.1.1\/math.js\"><\/script><script src=\"https:\/\/cdn.jsdelivr.net\/npm\/jstat@latest\/dist\/jstat.min.js\"><\/script><\/p>\n<style>\n@import url('https:\/\/fonts.googleapis.com\/css?family=Droid+Serif|Raleway');<\/p>\n<p>.axis--y .domain {\n  display: none;\n}<\/p>\n<p>h1 {\ntext-align: center;\nfont-size: 50px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', serif;\n}<\/p>\n<p>p {\ncolor: black;\ntext-align: center;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>#words {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#calcTitle {\ntext-align: center;\nfont-size: 20px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', serif;\n}<\/p>\n<p>#hr_top {\nwidth: 30%;\nmargin-bottom: 0px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#hr_bottom {\nwidth: 30%;\nmargin-top: 15px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>label, input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #button {\n      border: 1px solid;\n      border-radius: 10px;\n      margin-top: 20px;\n      padding: 10px 10px;\n      cursor: pointer;\n      outline: none;\n      background-color: white;\n      color: black;\n      font-family: 'Work Sans', sans-serif;\n      border: 1px solid grey;\n      \/* Green *\/\n    }<\/p>\n<p>    #button:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\n    }\n#words_intro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}\n<\/style>\n<div id=\"words_intro\">Een <b><a href=\"https:\/\/statorials.org\/nl\/continuiteitscorrectie\/\" target=\"_blank\" rel=\"noopener\">continu\u00efteitscorrectie<\/a><\/b> wordt gebruikt als u een normale verdeling wilt gebruiken om een binomiale verdeling te benaderen.<\/div>\n<div id=\"words_intro\"> Met deze rekenmachine kunt u een continu\u00efteitscorrectie toepassen op een normale verdeling om geschatte kansen voor een binomiale verdeling te vinden.<\/div>\n<div id=\"words_intro\"> Voer hieronder eenvoudig de juiste waarden in voor een bepaalde binominale verdeling en klik vervolgens op de knop &#8218;Berekenen&#8216;.<\/div>\n<div id=\"words\"> <label for=\"n\"><b>n<\/b> (aantal pogingen)<\/label><input type=\"number\" id=\"n\" min=\"0\" value=\"5\"><\/div>\n<div id=\"words\"> <label for=\"X\"><b>X<\/b> (aantal successen)<\/label><input type=\"number\" id=\"X\" min=\"0\" value=\"3\"><\/div>\n<div id=\"words\"> <label for=\"p\"><b>p<\/b> (kans op succes in een bepaalde proef)<\/label> <input type=\"number\" id=\"p\" min=\"0\" value=\"0.4\" step=\".01\"><\/div>\n<div id=\"words\"><input type=\"button\" id=\"button\" onclick=\"binomialCalc()\" value=\"Calculate\"><\/div>\n<div id=\"words\"> <b>Exacte binomiale kansen:<\/b><\/div>\n<div>\n<p> P(X = <span class=\"user_X\">3<\/span> ): <span id=\"exactProb\">0,23040<\/span><\/p>\n<\/div>\n<div>\n<p> P(X \u2264 <span class=\"user_X\">3<\/span> ): <span id=\"lessEqualProb\">0,92196<\/span><\/p>\n<\/div>\n<div>\n<p> P(X &lt; <span class=\"user_X\">3<\/span> ): <span id=\"lessProb\">0,68256<\/span><\/p>\n<\/div>\n<div>\n<p> P( <span class=\"user_X\">X\u22653<\/span> ): <span id=\"greaterEqualProb\">0,31744<\/span><\/p>\n<\/div>\n<div>\n<p> P(X &gt; <span class=\"user_X\">3<\/span> ): <span id=\"greaterProb\">0,08704<\/span><\/p>\n<\/div>\n<div id=\"words\"> <b>Geschatte kansen met behulp van continu\u00efteitscorrectie:<\/b><\/div>\n<div>\n<p> P( <span id=\"user_X1\">2,5<\/span> &lt;X &lt; <span id=\"user_X2\">3,5<\/span> ): <span id=\"approxProb1\">0,23040<\/span><\/p>\n<\/div>\n<div>\n<p> P(X&lt; <span id=\"user_X3\">3,5<\/span> ): <span id=\"approxProb2\">0,92196<\/span><\/p>\n<\/div>\n<div>\n<p> P(X &lt; <span id=\"user_X4\">2,5<\/span> ): <span id=\"approxProb3\">0,68256<\/span><\/p>\n<\/div>\n<div>\n<p> P(X &gt; <span id=\"user_X5\">2,5<\/span> ): <span id=\"approxProb4\">0,31744<\/span><\/p>\n<\/div>\n<div>\n<p> P(X &gt; <span id=\"user_X6\">3,5<\/span> ): <span id=\"approxProb5\">0,08704<\/span><\/p>\n<\/div>\n<p><script><\/p>\n<p>function binomialCalc() {<\/p>\n<p>\/\/get input values\nvar X = document.getElementById('X').value;\nvar p = document.getElementById('p').value;\nvar n = document.getElementById('n').value;<\/p>\n<p>\/\/calculate cumulative probabilities\t\nvar probArray = [];\nfor (var i = 0; i <= X; i++) {\n\tprobArray[i] = (math.factorial(n) \/ (math.factorial(n-i) * math.factorial(i))) * Math.pow(p, i) * Math.pow((1-p), (n-i));\n\t}\n\n\/\/assign probabilities to variable names\nvar exactProb = (math.factorial(n) \/ (math.factorial(n-X) * math.factorial(X))) * Math.pow(p, X) * Math.pow((1-p), (n-X));\nvar lessEqualProb = math.sum(probArray);\nvar lessProb = lessEqualProb - exactProb;\nvar greaterEqualProb = 1 - lessProb;\nvar greaterProb = 1 - lessEqualProb;\n\n\/\/output probabilities\ndocument.getElementById('exactProb').innerHTML = exactProb.toFixed(5);\ndocument.getElementById('lessEqualProb').innerHTML = lessEqualProb.toFixed(5);\ndocument.getElementById('lessProb').innerHTML = lessProb.toFixed(5);\ndocument.getElementById('greaterEqualProb').innerHTML = greaterEqualProb.toFixed(5);\ndocument.getElementById('greaterProb').innerHTML = greaterProb.toFixed(5);\n\n\/\/change X to reflect value that user entered\ndocument.getElementsByClassName('user_X')[0].innerHTML = X;\ndocument.getElementsByClassName('user_X')[1].innerHTML = X;\ndocument.getElementsByClassName('user_X')[2].innerHTML = X;\ndocument.getElementsByClassName('user_X')[3].innerHTML = X;\ndocument.getElementsByClassName('user_X')[4].innerHTML = X;\n\n\/\/find correct continuity correction values\nvar user_X1 = X-.5;\nvar user_X2 = X-(-.5);\nvar user_X3 = X-(-.5);\nvar user_X4 = X-.5;\nvar user_X5 = X-.5;\nvar user_X6 = X-(-.5);\n\n\/\/apply continuity correction values\ndocument.getElementById('user_X1').innerHTML = (user_X1).toFixed(1);\ndocument.getElementById('user_X2').innerHTML = (user_X2).toFixed(1);\ndocument.getElementById('user_X3').innerHTML = (user_X3).toFixed(1);\ndocument.getElementById('user_X4').innerHTML = (user_X4).toFixed(1);\ndocument.getElementById('user_X5').innerHTML = (user_X5).toFixed(1);\ndocument.getElementById('user_X6').innerHTML = (user_X6).toFixed(1);\n\n\/\/find z scores\nvar mean_z = n*p;\nvar stdev_z = Math.sqrt(n*p*(1-p));\n\n\/\/find z-scores\nvar approxProb1 = jStat.normal.cdf(user_X2, mean_z, stdev_z) - jStat.normal.cdf(user_X1, mean_z, stdev_z);\nvar approxProb2 = jStat.normal.cdf(user_X3, mean_z, stdev_z);\nvar approxProb3 = jStat.normal.cdf(user_X4, mean_z, stdev_z);\nvar approxProb4 = 1-jStat.normal.cdf(user_X5, mean_z, stdev_z);\nvar approxProb5 = 1-jStat.normal.cdf(user_X6, mean_z, stdev_z);\n\n\/\/output probabilities\ndocument.getElementById('approxProb1').innerHTML = approxProb1.toFixed(5);\ndocument.getElementById('approxProb2').innerHTML = approxProb2.toFixed(5);\ndocument.getElementById('approxProb3').innerHTML = approxProb3.toFixed(5);\ndocument.getElementById('approxProb4').innerHTML = approxProb4.toFixed(5);\ndocument.getElementById('approxProb5').innerHTML = approxProb5.toFixed(5);\n}\n\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Een continu\u00efteitscorrectie wordt gebruikt als u een normale verdeling wilt gebruiken om een binomiale verdeling te benaderen. Met deze rekenmachine kunt u een continu\u00efteitscorrectie toepassen op een normale verdeling om geschatte kansen voor een binomiale verdeling te vinden. Voer hieronder eenvoudig de juiste waarden in voor een bepaalde binominale verdeling en klik vervolgens op de [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-598","post","type-post","status-publish","format-standard","hentry","category-gids"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Continu\u00efteitcorrectiecalculator - Statorials<\/title>\n<meta name=\"description\" content=\"Deze rekenmachine vindt geschatte binominale kansen door een continu\u00efteitscorrectie toe te passen op de normale verdeling.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/nl\/continuiteitscorrectiecalculator\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Continu\u00efteitcorrectiecalculator - Statorials\" \/>\n<meta property=\"og:description\" content=\"Deze rekenmachine vindt geschatte binominale kansen door een continu\u00efteitscorrectie toe te passen op de normale verdeling.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/nl\/continuiteitscorrectiecalculator\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T09:18:19+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Verfasst von\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Gesch\u00e4tzte Lesezeit\" \/>\n\t<meta name=\"twitter:data2\" content=\"1\u00a0Minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/nl\/continuiteitscorrectiecalculator\/\",\"url\":\"https:\/\/statorials.org\/nl\/continuiteitscorrectiecalculator\/\",\"name\":\"Continu\u00efteitcorrectiecalculator - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/nl\/#website\"},\"datePublished\":\"2023-07-29T09:18:19+00:00\",\"dateModified\":\"2023-07-29T09:18:19+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/nl\/#\/schema\/person\/d4b8842173cca1bb62cdec41860e4219\"},\"description\":\"Deze rekenmachine vindt geschatte binominale kansen door een continu\u00efteitscorrectie toe te passen op de normale verdeling.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/nl\/continuiteitscorrectiecalculator\/#breadcrumb\"},\"inLanguage\":\"de\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/nl\/continuiteitscorrectiecalculator\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/nl\/continuiteitscorrectiecalculator\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Thuis\",\"item\":\"https:\/\/statorials.org\/nl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Continu\u00efteitscorrectiecalculator\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/nl\/#website\",\"url\":\"https:\/\/statorials.org\/nl\/\",\"name\":\"Statorials\",\"description\":\"Uw gids voor statistische competentie\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/nl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"de\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/nl\/#\/schema\/person\/d4b8842173cca1bb62cdec41860e4219\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"de\",\"@id\":\"https:\/\/statorials.org\/nl\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/nl\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/nl\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Ik ben Benjamin, een gepensioneerde hoogleraar statistiek die nu een toegewijde Statorials-lesgever is. 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