{"id":745,"date":"2023-07-28T21:41:35","date_gmt":"2023-07-28T21:41:35","guid":{"rendered":"https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/"},"modified":"2023-07-28T21:41:35","modified_gmt":"2023-07-28T21:41:35","slug":"t-test-rechner-fur-gepaarte-stichproben","status":"publish","type":"post","link":"https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/","title":{"rendered":"T-test-rechner f\u00fcr gepaarte stichproben"},"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\">Ein <b>t-Test f\u00fcr gepaarte Stichproben<\/b> wird verwendet, um die Mittelwerte zweier Stichproben zu vergleichen, wenn jede Beobachtung in einer Stichprobe mit einer Beobachtung in der anderen Stichprobe verkn\u00fcpft werden kann.<\/div>\n<div id=\"words_intro\"> Um einen T-Test f\u00fcr gepaarte Stichproben durchzuf\u00fchren, geben Sie einfach die folgenden Informationen ein und klicken Sie dann auf die Schaltfl\u00e4che \u201eBerechnen\u201c.<\/div>\n<div id=\"words_table\">\n<div class=\"text_areas\">\n<p style=\"text-align:center\"> <b>Probe 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>Probe 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=\"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\">22<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>p-Wert (einseitig) =<\/b> <span id=\"p1\">0,060963<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>p-Wert (2-seitig) =<\/b> <span id=\"p2\">0,121926<\/span><\/p>\n<\/div>\n<p><script><\/p>\n<p>function calc() {\n\/\/get raw data\nvar raw1 = document.getElementById('rawData1').value.split(',').map(Number);\nvar raw2 = document.getElementById('rawData2').value.split(',').map(Number);<\/p>\n<p>\/\/calculate paired differences\nvar diff = [];\nfor (var i = 0; i < raw1.length; i++) {\n            diff.push(raw1[i]-raw2[i]);\n        } \nconsole.log(diff);\n\/\/calculate test statistic t\nvar xdiff = math.mean(diff)\nvar s = math.std(diff)\nvar n = raw1.length;\nvar df = n-1;\nvar t = xdiff \/(s\/Math.sqrt(n));\n\n\/\/calculate p-value\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}\n\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ein t-Test f\u00fcr gepaarte Stichproben wird verwendet, um die Mittelwerte zweier Stichproben zu vergleichen, wenn jede Beobachtung in einer Stichprobe mit einer Beobachtung in der anderen Stichprobe verkn\u00fcpft werden kann. Um einen T-Test f\u00fcr gepaarte Stichproben durchzuf\u00fchren, geben Sie einfach die folgenden Informationen ein und klicken Sie dann auf die Schaltfl\u00e4che \u201eBerechnen\u201c. Probe 1 301, [&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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>T-Test-Rechner f\u00fcr gepaarte Stichproben \u2013 Statoriale<\/title>\n<meta name=\"description\" content=\"Dieser Rechner f\u00fchrt einen T-Test f\u00fcr gepaarte Stichproben basierend auf vom Benutzer bereitgestellten Eingaben durch.\" \/>\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\/de\/t-test-rechner-fur-gepaarte-stichproben\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"T-Test-Rechner f\u00fcr gepaarte Stichproben \u2013 Statoriale\" \/>\n<meta property=\"og:description\" content=\"Dieser Rechner f\u00fchrt einen T-Test f\u00fcr gepaarte Stichproben basierend auf vom Benutzer bereitgestellten Eingaben durch.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T21:41:35+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<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/\",\"url\":\"https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/\",\"name\":\"T-Test-Rechner f\u00fcr gepaarte Stichproben \u2013 Statoriale\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/de\/#website\"},\"datePublished\":\"2023-07-28T21:41:35+00:00\",\"dateModified\":\"2023-07-28T21:41:35+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/de\/#\/schema\/person\/ec75c4d6365f2708f8a0ad3a42121aa0\"},\"description\":\"Dieser Rechner f\u00fchrt einen T-Test f\u00fcr gepaarte Stichproben basierend auf vom Benutzer bereitgestellten Eingaben durch.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/#breadcrumb\"},\"inLanguage\":\"de-DE\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Heim\",\"item\":\"https:\/\/statorials.org\/de\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"T-test-rechner f\u00fcr gepaarte stichproben\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/de\/#website\",\"url\":\"https:\/\/statorials.org\/de\/\",\"name\":\"Statorials\",\"description\":\"Ihr Leitfaden f\u00fcr statistische Kompetenz !\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/de\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"de-DE\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/de\/#\/schema\/person\/ec75c4d6365f2708f8a0ad3a42121aa0\",\"name\":\"Dr. Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"de-DE\",\"@id\":\"https:\/\/statorials.org\/de\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/de\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/de\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. Benjamin Anderson\"},\"description\":\"Hallo, ich bin Benjamin, ein pensionierter Statistikprofessor, der sich zum engagierten Statorials-Lehrer entwickelt hat. Mit umfassender Erfahrung und Fachwissen auf dem Gebiet der Statistik bin ich bestrebt, mein Wissen zu teilen, um Studenten durch Statorials zu bef\u00e4higen. Mehr wissen\",\"sameAs\":[\"https:\/\/statorials.org\/de\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"T-Test-Rechner f\u00fcr gepaarte Stichproben \u2013 Statoriale","description":"Dieser Rechner f\u00fchrt einen T-Test f\u00fcr gepaarte Stichproben basierend auf vom Benutzer bereitgestellten Eingaben durch.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/","og_locale":"de_DE","og_type":"article","og_title":"T-Test-Rechner f\u00fcr gepaarte Stichproben \u2013 Statoriale","og_description":"Dieser Rechner f\u00fchrt einen T-Test f\u00fcr gepaarte Stichproben basierend auf vom Benutzer bereitgestellten Eingaben durch.","og_url":"https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/","og_site_name":"Statorials","article_published_time":"2023-07-28T21:41:35+00:00","author":"Dr. Benjamin Anderson","twitter_card":"summary_large_image","twitter_misc":{"Verfasst von":"Dr. Benjamin Anderson"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/","url":"https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/","name":"T-Test-Rechner f\u00fcr gepaarte Stichproben \u2013 Statoriale","isPartOf":{"@id":"https:\/\/statorials.org\/de\/#website"},"datePublished":"2023-07-28T21:41:35+00:00","dateModified":"2023-07-28T21:41:35+00:00","author":{"@id":"https:\/\/statorials.org\/de\/#\/schema\/person\/ec75c4d6365f2708f8a0ad3a42121aa0"},"description":"Dieser Rechner f\u00fchrt einen T-Test f\u00fcr gepaarte Stichproben basierend auf vom Benutzer bereitgestellten Eingaben durch.","breadcrumb":{"@id":"https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/#breadcrumb"},"inLanguage":"de-DE","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/de\/t-test-rechner-fur-gepaarte-stichproben\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Heim","item":"https:\/\/statorials.org\/de\/"},{"@type":"ListItem","position":2,"name":"T-test-rechner f\u00fcr gepaarte stichproben"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/de\/#website","url":"https:\/\/statorials.org\/de\/","name":"Statorials","description":"Ihr Leitfaden f\u00fcr statistische Kompetenz !","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/de\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"de-DE"},{"@type":"Person","@id":"https:\/\/statorials.org\/de\/#\/schema\/person\/ec75c4d6365f2708f8a0ad3a42121aa0","name":"Dr. Benjamin Anderson","image":{"@type":"ImageObject","inLanguage":"de-DE","@id":"https:\/\/statorials.org\/de\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/de\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/de\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg","caption":"Dr. Benjamin Anderson"},"description":"Hallo, ich bin Benjamin, ein pensionierter Statistikprofessor, der sich zum engagierten Statorials-Lehrer entwickelt hat. Mit umfassender Erfahrung und Fachwissen auf dem Gebiet der Statistik bin ich bestrebt, mein Wissen zu teilen, um Studenten durch Statorials zu bef\u00e4higen. Mehr wissen","sameAs":["https:\/\/statorials.org\/de"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/de\/wp-json\/wp\/v2\/posts\/745"}],"collection":[{"href":"https:\/\/statorials.org\/de\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/de\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/de\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/de\/wp-json\/wp\/v2\/comments?post=745"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/de\/wp-json\/wp\/v2\/posts\/745\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/de\/wp-json\/wp\/v2\/media?parent=745"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/de\/wp-json\/wp\/v2\/categories?post=745"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/de\/wp-json\/wp\/v2\/tags?post=745"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}