{"id":746,"date":"2023-07-28T21:47:40","date_gmt":"2023-07-28T21:47:40","guid":{"rendered":"https:\/\/statorials.org\/nl\/welchs-t-test-rekenmachine\/"},"modified":"2023-07-28T21:47:40","modified_gmt":"2023-07-28T21:47:40","slug":"welchs-t-test-rekenmachine","status":"publish","type":"post","link":"https:\/\/statorials.org\/nl\/welchs-t-test-rekenmachine\/","title":{"rendered":"Welch&#39;s t-test rekenmachine"},"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;\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>#words_calc {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#words_calc input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n    max-height: 35px;\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>#words label, #words input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n    max-height: 35px;\n}<\/p>\n<p>    #buttonCalc {\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>    #buttonCalc:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\n    }<\/p>\n<p>#words_output {\ntext-align: center;\n}<\/p>\n<p>#solution_div {\ntext-align: center;\n}<\/p>\n<p>#words_intro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words_table {\ncolor: black;\nfont-family: Raleway;\nmax-width: 350px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>.text_areas {\ncolor: black;\nfont-family: Raleway;\nmax-width: 350px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>.label_radio {\ntext-align: center;\n}\n<\/style>\n<div id=\"words_intro\"><b>De t-test van Welch<\/b> wordt gebruikt om te testen of de gemiddelden van twee populaties gelijk zijn of niet.<\/div>\n<div id=\"words_intro\"> Bij dit type test wordt er niet van uitgegaan dat de twee monsters gelijke varianties hebben. Als u deze veronderstelling wilt maken, moet u in plaats daarvan de <a href=\"https:\/\/statorials.org\/nl\/ta-testcalculator-twee-voorbeelden\/\" target=\"_blank\" rel=\"noopener\">t-toetscalculator met twee steekproeven<\/a> gebruiken.<\/div>\n<div id=\"words_intro\"> Om de Welch t-test uit te voeren, vult u eenvoudigweg de onderstaande informatie in en klikt u vervolgens op de knop &#8218;Berekenen&#8216;.<\/div>\n<div id=\"words\"> <label class=\"label_radio\" for=\"raw\">Voer ruwe gegevens in<\/label><input type=\"radio\" id=\"raw\" name=\"tails\" onclick=\"check()\" checked=\"\"> <label class=\"label_radio\" for=\"summary\">Voer samenvattingsgegevens in<\/label> <input type=\"radio\" id=\"summary\" name=\"tails\" onclick=\"check()\"><\/div>\n<div id=\"words_table\">\n<div class=\"text_areas\">\n<p style=\"text-align:center\"> <b>Voorbeeld 1<\/b><\/p>\n<p><textarea id=\"rawData1\" rows=\"5\" cols=\"40\"> 301, 298, 295, 297, 304, 305, 309, 298, 291, 299, 293, 304<\/textarea><\/p>\n<\/div>\n<div class=\"text_areas\">\n<p style=\"text-align:center\"> <b>Voorbeeld 2<\/b><\/p>\n<p><textarea id=\"rawData2\" rows=\"5\" cols=\"40\"> 302, 309, 324, 313, 312, 310, 305, 298, 299, 300, 289, 294<\/textarea><\/p>\n<\/div>\n<\/div>\n<div id=\"summary_table\">\n<div id=\"words\"> <label><b><span style=\"text-decoration:overline\">x<\/span> <sub>1<\/sub><\/b> (gemiddelde van steekproef 1)<\/label><input type=\"number\" id=\"x1\" value=\"300\"><\/div>\n<div id=\"words\"> <label><b>s <sub>1<\/sub><\/b> (standaarddeviatie van steekproef 1)<\/label><input type=\"number\" id=\"s1\" value=\"18.5\"><\/div>\n<div id=\"words\"> <label><b>n <sub>1<\/sub><\/b> (monster 1 maat)<\/label><input type=\"number\" id=\"n1\" value=\"40\"><\/div>\n<div id=\"words\"> <label><b><span style=\"text-decoration:overline\">x<\/span> <sub>2<\/sub><\/b> (gemiddelde van monster 2)<\/label><input type=\"number\" id=\"x2\" value=\"305\"><\/div>\n<div id=\"words\"> <label><b>s <sub>2<\/sub><\/b> (standaarddeviatie van steekproef 1)<\/label><input type=\"number\" id=\"s2\" value=\"16.7\"><\/div>\n<div id=\"words\"> <label><b>n <sub>2<\/sub><\/b> (monster 2-formaat)<\/label> <input type=\"number\" id=\"n2\" value=\"38\"><\/div>\n<\/div>\n<div id=\"words_calc\"><input class=\"input_label_calc\" type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"words\">\n<p> <b>t =<\/b> <span id=\"t\">-1,608761<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>df =<\/b> <span id=\"df\">17<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>p-waarde (eenzijdig) =<\/b> <span id=\"p1\">0,063040<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>p-waarde (tweezijdig) =<\/b> <span id=\"p2\">0,126080<\/span><\/p>\n<\/div>\n<p><script><\/p>\n<p>\/\/set summary table to hidden to start\nvar summary_display = document.getElementById(\"summary_table\");\nsummary_display.style.display = \"none\";<\/p>\n<p>\/\/find which radio button is checked\nfunction check() {\nif (document.getElementById('raw').checked) {\n\tvar table_display = document.getElementById(\"words_table\");\n        table_display.style.display = \"block\";\n        var summary_display = document.getElementById(\"summary_table\");\n        summary_display.style.display = \"none\";\n\t} else {\n\tvar table_display = document.getElementById(\"words_table\");\n        table_display.style.display = \"none\";\n        var summary_display = document.getElementById(\"summary_table\");\n        summary_display.style.display = \"block\";\n\t}<\/p>\n<p>} \/\/end check<\/p>\n<p>\/\/perform one-sample t-test\nfunction calc() {\nif (document.getElementById('summary').checked) {\nvar x1 = +document.getElementById('x1').value;\nvar s1 = +document.getElementById('s1').value;\nvar n1 = +document.getElementById('n1').value;\nvar x2 = +document.getElementById('x2').value;\nvar s2 = +document.getElementById('s2').value;\nvar n2 = +document.getElementById('n2').value;\nvar s12 = Math.pow(s1,2);\nvar s22 = Math.pow(s2,2);<\/p>\n<p>var df1 = (Math.pow(s12\/n1 - (-1*s22\/n2),2)) \/ ((Math.pow(s12\/n1,2)\/(n1-1)) - (-1*Math.pow(s22\/n2,2)\/(n2-1)));\nvar df = Math.floor(df1);\nvar t = (x1-x2)\/(Math.sqrt(Math.pow(s1,2)\/n1 - (-1*Math.pow(s2,2)\/n2)));<\/p>\n<p>if (t<0) {\nvar p1 = jStat.studentt.cdf(t, df);\nvar p2 = p1*2;\n} else {\nvar p1 = 1-jStat.studentt.cdf(t, df);\nvar p2 = p1*2;\n}\n\ndocument.getElementById('t').innerHTML = t.toFixed(6);\ndocument.getElementById('df').innerHTML = df;\ndocument.getElementById('p1').innerHTML = p1.toFixed(6);\ndocument.getElementById('p2').innerHTML = p2.toFixed(6);\n\t} else {\nvar raw1 = document.getElementById('rawData1').value.split(',').map(Number);\nvar raw2 = document.getElementById('rawData2').value.split(',').map(Number);\nvar x1 = math.mean(raw1)\nvar s1 = math.std(raw1)\nvar n1 = raw1.length;\nvar x2 = math.mean(raw2)\nvar s2 = math.std(raw2)\nvar n2 = raw2.length;\nvar s12 = Math.pow(s1,2);\nvar s22 = Math.pow(s2,2);\n\nvar df1 = (Math.pow(s12\/n1 - (-1*s22\/n2),2)) \/ ((Math.pow(s12\/n1,2)\/(n1-1)) - (-1*Math.pow(s22\/n2,2)\/(n2-1)));\nvar df = Math.floor(df1);\nvar t = (x1-x2)\/(Math.sqrt(Math.pow(s1,2)\/n1 - (-1*Math.pow(s2,2)\/n2)));\n\nif (t<0) {\nvar p1 = jStat.studentt.cdf(t, df);\nvar p2 = p1*2;\n} else {\nvar p1 = 1-jStat.studentt.cdf(t, df);\nvar p2 = p1*2;\n}\n\ndocument.getElementById('t').innerHTML = t.toFixed(6);\ndocument.getElementById('df').innerHTML = df;\ndocument.getElementById('p1').innerHTML = p1.toFixed(6);\ndocument.getElementById('p2').innerHTML = p2.toFixed(6);\n\t}\n\n\/\/output results\n}\n\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>De t-test van Welch wordt gebruikt om te testen of de gemiddelden van twee populaties gelijk zijn of niet. Bij dit type test wordt er niet van uitgegaan dat de twee monsters gelijke varianties hebben. Als u deze veronderstelling wilt maken, moet u in plaats daarvan de t-toetscalculator met twee steekproeven gebruiken. Om de Welch [&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-746","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>Welch&#039;s t-testcalculator - Statorials<\/title>\n<meta name=\"description\" content=\"Deze rekenmachine voert de t-test van Welch uit op basis van door de gebruiker opgegeven invoer.\" \/>\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\/welchs-t-test-rekenmachine\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Welch&#039;s t-testcalculator - Statorials\" \/>\n<meta property=\"og:description\" content=\"Deze rekenmachine voert de t-test van Welch uit op basis van door de gebruiker opgegeven invoer.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/nl\/welchs-t-test-rekenmachine\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T21:47:40+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\/welchs-t-test-rekenmachine\/\",\"url\":\"https:\/\/statorials.org\/nl\/welchs-t-test-rekenmachine\/\",\"name\":\"Welch&#39;s t-testcalculator - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/nl\/#website\"},\"datePublished\":\"2023-07-28T21:47:40+00:00\",\"dateModified\":\"2023-07-28T21:47:40+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/nl\/#\/schema\/person\/d4b8842173cca1bb62cdec41860e4219\"},\"description\":\"Deze rekenmachine voert de t-test van Welch uit op basis van door de gebruiker opgegeven invoer.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/nl\/welchs-t-test-rekenmachine\/#breadcrumb\"},\"inLanguage\":\"de\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/nl\/welchs-t-test-rekenmachine\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/nl\/welchs-t-test-rekenmachine\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Thuis\",\"item\":\"https:\/\/statorials.org\/nl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Welch&#39;s t-test rekenmachine\"}]},{\"@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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