{"id":424,"date":"2023-07-29T23:44:02","date_gmt":"2023-07-29T23:44:02","guid":{"rendered":"https:\/\/statorials.org\/de\/kruskal-wallis-testrechner\/"},"modified":"2023-07-29T23:44:02","modified_gmt":"2023-07-29T23:44:02","slug":"kruskal-wallis-testrechner","status":"publish","type":"post","link":"https:\/\/statorials.org\/de\/kruskal-wallis-testrechner\/","title":{"rendered":"Kruskal-wallis-testrechner"},"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;\n}<\/p>\n<p>#words_text_area {\ndisplay:inline-block;\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>#words_table label, #words_table input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #buttonCalc {\n      border: 1px solid;\n      border-radius: 10px;\n      margin-top: 20px;<\/p>\n<p>      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    }<\/p>\n<p>\t.label_radio {\n\ttext-align: center;\n    }<\/p>\n<p>td, tr, th {\n    border: 1px solid black;\n}\ntable {\n    border-collapse: collapse;\n}\ntd, th {\n    min-width: 50px;\n    height: 21px;\n}\n.table_span_a, .table_span_b, .table_span_c, .table_span_d, .table_span_e {\n    width: 100%;\n    display: block;\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>#summary_table {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 20px;\n}<\/p>\n<p>    .label_radio {\n\ttext-align: center;\n}\n<\/style>\n<div id=\"words\">\n<p style=\"text-align: left\">Dieser Kruskal-Wallis-Testrechner vergleicht die Mediane von drei oder mehr unabh\u00e4ngigen Stichproben. Dies ist die nichtparametrische Version der einfaktoriellen ANOVA.<\/p>\n<p style=\"text-align: left\"> Geben Sie einfach die Werte von bis zu f\u00fcnf Proben in die Zellen unten ein und klicken Sie dann auf die Schaltfl\u00e4che \u201eBerechnen\u201c.<\/p>\n<\/div>\n<p style=\"text-align: center\"> <b>Probe 1<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"a\" rows=\"3\" cols=\"40\"> 11, 12, 12, 14, 16, 19, 19, 20, 21, 21<\/textarea><\/div>\n<p style=\"text-align: center\"> <b>Probe 2<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"b\" rows=\"3\" cols=\"40\"> 16, 16, 16, 17, 18, 19, 22, 24, 25, 32<\/textarea><\/div>\n<p style=\"text-align: center\"> <b>Probe 3<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"c\" rows=\"3\" cols=\"40\"> 18, 18, 19, 21, 21, 22, 22, 23, 24, 26<\/textarea><\/div>\n<p style=\"text-align: center\"> <b>Probe 4<\/b> <\/p>\n<div id=\"words_table\"><textarea id=\"d\" rows=\"3\" cols=\"40\"><\/textarea><\/div>\n<p style=\"text-align: center\"> <b>Probe 5<\/b> <\/p>\n<div id=\"words_table\"><textarea id=\"e\" rows=\"3\" cols=\"40\"><\/textarea><\/div>\n<div id=\"words_table\"><input type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div>\n<p> H-Statistik: <span id=\"H\">6,59806<\/span><\/p>\n<\/div>\n<div>\n<p> p-Wert: <span id=\"p\">0,03692<\/span><\/p>\n<\/div>\n<p><script><\/p>\n<p>\/\/create function that performs calculations\nfunction calc() {<\/p>\n<p>\/\/get raw data for each group\nvar group_a  = document.getElementById('a').value.split(',').map(Number);\nvar group_b  = document.getElementById('b').value.split(',').map(Number);\nvar group_c  = document.getElementById('c').value.split(',').map(Number);\nvar group_d  = document.getElementById('d').value.split(',').map(Number);\nvar group_e  = document.getElementById('e').value.split(',').map(Number);<\/p>\n<p>\t\/\/define addition function\n\t\tfunction add(a, b) {\n\t\t    return a + b;\n\t\t}\t<\/p>\n<p>\t    \/\/define function to perform kruskal-wallis test\n    function kruskal() {<\/p>\n<p>\tvar ngroups = arguments.length,\n\t\tgroupRankSums = new Array( ngroups ),\n\t\tgroupsIndicators = [],\n\t\ti, j,\n\t\targ,\n\t\tn = [], N,\n\t\tx = [],\n\t\tranks, ties, tieSumTerm,\n\t\tkey, s,\n\t\tstat_placeholder, stat, param, pval;<\/p>\n<p>\tif ( ngroups < 2 ) {\n\t\tthrow new Error( 'kruskal()::invalid number of input arguments. Must provide at least two array-like arguments. Value: `' + arg + '`.' );\n\t}\n\n\tfor ( i = 0; i < ngroups; i++ ) {\n\t\targ = arguments[ i ];\n\t\tn[ i ] = arg.length;\n\t\tgroupRankSums[ i ] = 0;\n\n\t\tfor ( j = 0; j < n[ i ]; j++ ) {\n\t\t\tgroupsIndicators.push( i );\n\t\t\tx.push( arg[ j ] );\n\t\t}\n\t}\n\n\tN = x.length;\n\tvar sorted = x.slice().sort(function(a,b){return a-b});\n\tvar reversed = sorted.slice(0).reverse();\n\tranks = x.slice().map(function(v){ return ((sorted.indexOf(v) + 1) + (reversed.length - reversed.indexOf(v))) \/ 2;});\n\t\n\t\/\/ calculate # ties for each value &#038; rank sums per group\n\tties = {};\n\n\tfor ( i = 0; i < N; i++ ) {\n\t\tgroupRankSums[ groupsIndicators[ i ] ] += ranks[ i ];\n\t\tif ( x[ i ] in ties ) {\n\t\t\tties[ x[ i ] ] += 1;\n\t\t} else {\n\t\t\tties[ x[ i ] ] = 1;\n\t\t}\n\t}\n\n\t\/\/ calculate test statistic using short-cut formula\n\trank_squares = groupRankSums.map(function(x) { return Math.pow(x, 2); });\n\trank_squares_sum = (rank_squares.map(function(x, i) { return x \/ n[i]; })).reduce(add, 0);\n\tstat = (12\/(N*(N+1))) * rank_squares_sum - 3*(N+1);\n\n\tparam = ngroups - 1;\n\tpval = 1 - jStat.chisquare.cdf(stat, param);\n\n\treturn {\n\t\t'H': stat,\n\t\t'df': param,\n\t\t'pValue': pval,\n\t};\n\n} \/\/ end FUNCTION kruskal()\n\n\tif (group_a.length > 1) { var flag_group_a = 1; } else { var flag_group_a = 0;};\n\tif (group_b.length > 1) { var flag_group_b = 1; } else { var flag_group_b = 0;};\n\tif (group_c.length > 1) { var flag_group_c = 1; } else { var flag_group_c = 0;};\n\tif (group_d.length > 1) { var flag_group_d = 1; } else { var flag_group_d = 0;};\n\tif (group_e.length > 1) { var flag_group_e = 1; } else { var flag_group_e = 0;};<\/p>\n<p>\tvar total_treatments = [flag_group_a, flag_group_b, flag_group_c, flag_group_d, flag_group_e].reduce(add, 0);<\/p>\n<p>\tvar out;<\/p>\n<p>\tif (total_treatments == 2) {\n\t\tout = kruskal(group_a, group_b);\n\t} else if (total_treatments == 3) {\n\t\tout = kruskal(group_a, group_b, group_c);\n\t} else if (total_treatments == 4) {\n\t\tout = kruskal(group_a, group_b, group_c, group_d);\n\t} else if (total_treatments == 5){\n\t\tout = kruskal(group_a, group_b, group_c, group_d, group_e);\n\t}<\/p>\n<p>var H = out[Object.keys(out)[0]];\nvar p = out[Object.keys(out)[2]];<\/p>\n<p>\/\/--------------OUTPUT RESULTS-----------\/\/<\/p>\n<p>\tdocument.getElementById('H').innerHTML = H.toFixed(5);\n\tdocument.getElementById('p').innerHTML = p.toFixed(5);\n}<\/p>\n<p><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dieser Kruskal-Wallis-Testrechner vergleicht die Mediane von drei oder mehr unabh\u00e4ngigen Stichproben. Dies ist die nichtparametrische Version der einfaktoriellen ANOVA. Geben Sie einfach die Werte von bis zu f\u00fcnf Proben in die Zellen unten ein und klicken Sie dann auf die Schaltfl\u00e4che \u201eBerechnen\u201c. Probe 1 11, 12, 12, 14, 16, 19, 19, 20, 21, 21 Probe [&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>Kruskal-Wallis-Testrechner \u2013 Statoriale<\/title>\n<meta name=\"description\" content=\"Dieser Kruskal-Wallis-Testrechner vergleicht die Mediane von drei oder mehr unabh\u00e4ngigen Stichproben. Dies ist die nichtparametrische Version der einfaktoriellen ANOVA.\" \/>\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\/kruskal-wallis-testrechner\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kruskal-Wallis-Testrechner \u2013 Statoriale\" \/>\n<meta property=\"og:description\" content=\"Dieser Kruskal-Wallis-Testrechner vergleicht die Mediane von drei oder mehr unabh\u00e4ngigen Stichproben. Dies ist die nichtparametrische Version der einfaktoriellen ANOVA.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/de\/kruskal-wallis-testrechner\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T23:44:02+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\/kruskal-wallis-testrechner\/\",\"url\":\"https:\/\/statorials.org\/de\/kruskal-wallis-testrechner\/\",\"name\":\"Kruskal-Wallis-Testrechner \u2013 Statoriale\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/de\/#website\"},\"datePublished\":\"2023-07-29T23:44:02+00:00\",\"dateModified\":\"2023-07-29T23:44:02+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/de\/#\/schema\/person\/ec75c4d6365f2708f8a0ad3a42121aa0\"},\"description\":\"Dieser Kruskal-Wallis-Testrechner vergleicht die Mediane von drei oder mehr unabh\u00e4ngigen Stichproben. Dies ist die nichtparametrische Version der einfaktoriellen ANOVA.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/de\/kruskal-wallis-testrechner\/#breadcrumb\"},\"inLanguage\":\"de-DE\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/de\/kruskal-wallis-testrechner\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/de\/kruskal-wallis-testrechner\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Heim\",\"item\":\"https:\/\/statorials.org\/de\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kruskal-wallis-testrechner\"}]},{\"@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":"Kruskal-Wallis-Testrechner \u2013 Statoriale","description":"Dieser Kruskal-Wallis-Testrechner vergleicht die Mediane von drei oder mehr unabh\u00e4ngigen Stichproben. Dies ist die nichtparametrische Version der einfaktoriellen ANOVA.","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\/kruskal-wallis-testrechner\/","og_locale":"de_DE","og_type":"article","og_title":"Kruskal-Wallis-Testrechner \u2013 Statoriale","og_description":"Dieser Kruskal-Wallis-Testrechner vergleicht die Mediane von drei oder mehr unabh\u00e4ngigen Stichproben. Dies ist die nichtparametrische Version der einfaktoriellen ANOVA.","og_url":"https:\/\/statorials.org\/de\/kruskal-wallis-testrechner\/","og_site_name":"Statorials","article_published_time":"2023-07-29T23:44:02+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\/kruskal-wallis-testrechner\/","url":"https:\/\/statorials.org\/de\/kruskal-wallis-testrechner\/","name":"Kruskal-Wallis-Testrechner \u2013 Statoriale","isPartOf":{"@id":"https:\/\/statorials.org\/de\/#website"},"datePublished":"2023-07-29T23:44:02+00:00","dateModified":"2023-07-29T23:44:02+00:00","author":{"@id":"https:\/\/statorials.org\/de\/#\/schema\/person\/ec75c4d6365f2708f8a0ad3a42121aa0"},"description":"Dieser Kruskal-Wallis-Testrechner vergleicht die Mediane von drei oder mehr unabh\u00e4ngigen Stichproben. Dies ist die nichtparametrische Version der einfaktoriellen ANOVA.","breadcrumb":{"@id":"https:\/\/statorials.org\/de\/kruskal-wallis-testrechner\/#breadcrumb"},"inLanguage":"de-DE","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/de\/kruskal-wallis-testrechner\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/de\/kruskal-wallis-testrechner\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Heim","item":"https:\/\/statorials.org\/de\/"},{"@type":"ListItem","position":2,"name":"Kruskal-wallis-testrechner"}]},{"@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\/424"}],"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=424"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/de\/wp-json\/wp\/v2\/posts\/424\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/de\/wp-json\/wp\/v2\/media?parent=424"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/de\/wp-json\/wp\/v2\/categories?post=424"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/de\/wp-json\/wp\/v2\/tags?post=424"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}