{"id":420,"date":"2023-07-30T00:43:51","date_gmt":"2023-07-30T00:43:51","guid":{"rendered":"https:\/\/statorials.org\/de\/einweg-danova-rechner\/"},"modified":"2023-07-30T00:43:51","modified_gmt":"2023-07-30T00:43:51","slug":"einweg-danova-rechner","status":"publish","type":"post","link":"https:\/\/statorials.org\/de\/einweg-danova-rechner\/","title":{"rendered":"Rechner f\u00fcr einfaktorielle anova"},"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;\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>#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, 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;\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>\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 <a href=\"https:\/\/statorials.org\/de\/einweg-anova\/\" target=\"_blank\" rel=\"noopener\">einfaktorielle ANOVA-<\/a> Rechner vergleicht die Mittelwerte von drei oder mehr unabh\u00e4ngigen Stichproben.<\/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 id=\"words_table\">\n<table>\n<tbody>\n<tr>\n<th style=\"background-color: #bee3ff\"> <b>Quelle<\/b><\/th>\n<th style=\"background-color: #bee3ff\"> <b>SS<\/b><\/th>\n<th style=\"background-color: #bee3ff\"> <b>df<\/b><\/th>\n<th style=\"background-color: #bee3ff\"> <b>MS.<\/b><\/th>\n<th style=\"background-color: #bee3ff\"> <b>F<\/b><\/th>\n<th style=\"background-color: #bee3ff\"> <b>P.<\/b><\/th>\n<\/tr>\n<tr>\n<td> Behandlung<\/td>\n<td> <span id=\"ss_treatment\">136.1<\/span><\/td>\n<td> <span id=\"df_treatment\">2<\/span><\/td>\n<td> <span id=\"ms_treatment\">68,0<\/span><\/td>\n<td> <span id=\"f\">4.069<\/span><\/td>\n<td> <span id=\"p\">0,02853<\/span><\/td>\n<\/tr>\n<tr>\n<td> Fehler<\/td>\n<td> <span id=\"ss_residual\">451,4<\/span><\/td>\n<td> <span id=\"df_residual\">27<\/span><\/td>\n<td> <span id=\"ms_residual\">16.7<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td> Gesamt<\/td>\n<td> <span id=\"ss_total\">587,5<\/span><\/td>\n<td> <span id=\"df_total\">29<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p><script>\nvar div_table = document.getElementById('words_table');<\/p>\n<p>function calc() {\n\t\/\/define addition function\n\t\tfunction add(a, b) {\n\t\t    return a + b;\n\t\t}<\/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>\/\/verify they exist\nif (group_a.length < 2){ group_a = null};\nif (group_b.length < 2){ group_b = null};\nif (group_c.length < 2){ group_c = null};\nif (group_d.length < 2){ group_d = null};\nif (group_e.length < 2){ group_e = null};\n\n\/\/get summary stats of each group\n\tif (group_a != null) { var mean_group_a = math.mean(group_a); };\n\tif (group_b != null) { var mean_group_b = math.mean(group_b); };\n\tif (group_c != null) { var mean_group_c = math.mean(group_c); };\n\tif (group_d != null) { var mean_group_d = math.mean(group_d); };\n\tif (group_e != null) { var mean_group_e = math.mean(group_e); };\n\nvar all_groups_holder = group_a.concat(group_b, group_c, group_d, group_e);\nvar all_groups = all_groups_holder.filter(function (el) {\n  return el != null;\n});\nvar mean_all_groups = math.mean(all_groups);\n\tvar count_all_groups = all_groups.length;\n\n\tif (group_a != null) { var mean_group_a_diff = mean_group_a - mean_all_groups; } else { var mean_group_a_diff = 0;};\n\tif (group_b != null) { var mean_group_b_diff = mean_group_b - mean_all_groups; } else { var mean_group_b_diff = 0;};\n\tif (group_c != null) { var mean_group_c_diff = mean_group_c - mean_all_groups; } else { var mean_group_c_diff = 0;};\n\tif (group_d != null) { var mean_group_d_diff = mean_group_d - mean_all_groups; } else { var mean_group_d_diff = 0;};\n\tif (group_e != null) { var mean_group_e_diff = mean_group_e - mean_all_groups; } else { var mean_group_e_diff = 0;};\n\t\n\tif (group_a != null) { var count_group_a = group_a.length; } else { var count_group_a = 0;};\n\tif (group_b != null) { var count_group_b = group_b.length; } else { var count_group_b = 0;};\n\tif (group_c != null) { var count_group_c = group_c.length; } else { var count_group_c = 0;};\n\tif (group_d != null) { var count_group_d = group_d.length; } else { var count_group_d = 0;};\n\tif (group_e != null) { var count_group_e = group_e.length; } else { var count_group_e = 0;};\n\t\n\tif (group_a != null) { var flag_group_a = 1; } else { var flag_group_a = 0;};\n\tif (group_b != null) { var flag_group_b = 1; } else { var flag_group_b = 0;};\n\tif (group_c != null) { var flag_group_c = 1; } else { var flag_group_c = 0;};\n\tif (group_d != null) { var flag_group_d = 1; } else { var flag_group_d = 0;};\n\tif (group_e != null) { var flag_group_e = 1; } else { var flag_group_e = 0;};\n\t\n\tvar total_treatments = [flag_group_a, flag_group_b, flag_group_c, flag_group_d, flag_group_e].reduce(add, 0);\n\n\t\/\/find sum of squares total, treatment, and residual\n\tvar ss_total = (all_groups.map(function(x) { return Math.pow(x-mean_all_groups, 2); })).reduce(add, 0);\n\t\t\n\tvar ss_treatment = Math.pow(mean_group_a_diff, 2)*(count_group_a) + Math.pow(mean_group_b_diff, 2)*(count_group_b) + Math.pow(mean_group_c_diff, 2)*(count_group_c) + Math.pow(mean_group_d_diff, 2)*(count_group_d) + Math.pow(mean_group_e_diff, 2)*(count_group_e);\n\t\n\tvar ss_residual = ss_total - ss_treatment;\n\t\/\/find degrees of freedom\n\tdf_total = count_all_groups - 1;\n\tdf_treatment = total_treatments - 1;\n\tdf_residual = df_total - df_treatment;\n\t\n\t\/\/find mean sum of squares\n\tvar ms_treatment = ss_treatment \/ df_treatment;\n\tvar ms_residual = ss_residual \/ df_residual;\n\t\n\t\/\/find f value and p value\n        var f = ms_treatment \/ ms_residual;\n        var p = 1 - jStat.centralF.cdf(f, df_treatment, df_residual);\n        \n\/\/--------------OUTPUT RESULTS-----------\/\/\n\tdocument.getElementById('ss_treatment').innerHTML = ss_treatment.toFixed(1);\n\tdocument.getElementById('ss_residual').innerHTML = ss_residual.toFixed(1);\n\tdocument.getElementById('ss_total').innerHTML = ss_total.toFixed(1);\n\t\n\tdocument.getElementById('df_treatment').innerHTML = df_treatment.toFixed(0);\n\tdocument.getElementById('df_residual').innerHTML = df_residual.toFixed(0);\n\tdocument.getElementById('df_total').innerHTML = df_total.toFixed(0);\n\t\n\tdocument.getElementById('ms_treatment').innerHTML = ms_treatment.toFixed(1);\n\tdocument.getElementById('ms_residual').innerHTML = ms_residual.toFixed(1);\n\t\n\tdocument.getElementById('f').innerHTML = f.toFixed(3);\n\tdocument.getElementById('p').innerHTML = p.toFixed(5);\n}\n\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dieser einfaktorielle ANOVA- Rechner vergleicht die Mittelwerte von drei oder mehr unabh\u00e4ngigen Stichproben. 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 2 16, 16, 16, 17, 18, [&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>Rechner f\u00fcr einfaktorielle ANOVA \u2013 Statoriale<\/title>\n<meta name=\"description\" content=\"Dieser einfaktorielle ANOVA-Rechner vergleicht die Mittelwerte von drei oder mehr unabh\u00e4ngigen Stichproben.\" \/>\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\/einweg-danova-rechner\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Rechner f\u00fcr einfaktorielle ANOVA \u2013 Statoriale\" \/>\n<meta property=\"og:description\" content=\"Dieser einfaktorielle ANOVA-Rechner vergleicht die Mittelwerte von drei oder mehr unabh\u00e4ngigen Stichproben.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/de\/einweg-danova-rechner\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-30T00:43:51+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\/einweg-danova-rechner\/\",\"url\":\"https:\/\/statorials.org\/de\/einweg-danova-rechner\/\",\"name\":\"Rechner f\u00fcr einfaktorielle ANOVA \u2013 Statoriale\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/de\/#website\"},\"datePublished\":\"2023-07-30T00:43:51+00:00\",\"dateModified\":\"2023-07-30T00:43:51+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/de\/#\/schema\/person\/ec75c4d6365f2708f8a0ad3a42121aa0\"},\"description\":\"Dieser einfaktorielle ANOVA-Rechner vergleicht die Mittelwerte von drei oder mehr unabh\u00e4ngigen Stichproben.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/de\/einweg-danova-rechner\/#breadcrumb\"},\"inLanguage\":\"de-DE\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/de\/einweg-danova-rechner\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/de\/einweg-danova-rechner\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Heim\",\"item\":\"https:\/\/statorials.org\/de\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Rechner f\u00fcr einfaktorielle anova\"}]},{\"@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. 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