{"id":728,"date":"2023-07-28T23:03:05","date_gmt":"2023-07-28T23:03:05","guid":{"rendered":"https:\/\/statorials.org\/de\/vergleichen-sie-den-z-score-rechner\/"},"modified":"2023-07-28T23:03:05","modified_gmt":"2023-07-28T23:03:05","slug":"vergleichen-sie-den-z-score-rechner","status":"publish","type":"post","link":"https:\/\/statorials.org\/de\/vergleichen-sie-den-z-score-rechner\/","title":{"rendered":"Vergleichen sie den z-score-rechner"},"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>#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, #words_calc 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_intro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}\n<\/style>\n<div id=\"words_intro\">Ein <b>Z-Score<\/b> gibt an, um wie viele Standardabweichungen ein einzelner Datenwert vom Mittelwert abweicht. Es wird wie folgt berechnet:<\/div>\n<div id=\"words_intro\"> <b>Z-Score<\/b> = (x \u2013 \u03bc) \/ \u03c3<\/div>\n<div id=\"words_intro\"> Gold:<\/div>\n<div id=\"words_intro\">\n<ul>\n<li> x: individueller Datenwert<\/li>\n<li> \u03bc: Bev\u00f6lkerungsdurchschnitt<\/li>\n<li> \u03c3: Populationsstandardabweichung<\/li>\n<\/ul>\n<\/div>\n<div id=\"words_intro\"> Mit diesem Rechner k\u00f6nnen Sie die relative Position zweier Datenpunkte anhand ihrer Z-Scores vergleichen. F\u00fcllen Sie einfach die Felder unten aus und klicken Sie dann auf die Schaltfl\u00e4che \u201eBerechnen\u201c.<\/div>\n<div id=\"words\"> <label><b>\u03bc <sub>1<\/sub><\/b> (Bev\u00f6lkerung 1 Durchschnitt)<\/label><input type=\"number\" id=\"x1\" value=\"15\"><\/div>\n<div id=\"words\"> <label><b>\u03c3 <sub>1<\/sub><\/b> (Grundgesamtheitsstandardabweichung 1)<\/label><input type=\"number\" id=\"s1\" value=\"4.2\"><\/div>\n<div id=\"words\"> <label><b>x <sub>1<\/sub><\/b> (Einzelwert 1)<\/label><input type=\"number\" id=\"v1\" value=\"19\"><\/div>\n<div id=\"words\"> <label><b>\u03bc <sub>2<\/sub><\/b> (Bev\u00f6lkerungsdurchschnitt 2)<\/label><input type=\"number\" id=\"x2\" value=\"14\"><\/div>\n<div id=\"words\"> <label><b>\u03c3 <sub>2<\/sub><\/b> (Grundgesamtheitsstandardabweichung 2)<\/label><input type=\"number\" id=\"s2\" value=\"2.6\"><\/div>\n<div id=\"words\"> <label><b>x <sub>2<\/sub><\/b> (Einzelwert 2)<\/label> <input type=\"number\" id=\"v2\" value=\"17\"><\/div>\n<div id=\"words_calc\"><input type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"words_intro\">\n<p> Z-Score des ersten Werts = ( <span id=\"v1out\">19<\/span> \u2013 <span id=\"x1out\">15<\/span> ) \/ <span id=\"s1out\">4,2<\/span> = <b><span id=\"z1\">0,9524<\/span><\/b><\/p>\n<\/div>\n<div id=\"words_intro\">\n<p> Z-Score des zweiten Wertes = ( <span id=\"v2out\">17<\/span> \u2013 <span id=\"x2out\">14<\/span> ) \/ <span id=\"s2out\">2,6<\/span> = <b><span id=\"z2\">1,1538<\/span><\/b><\/p>\n<\/div>\n<p><script><\/p>\n<p>function calc() {<\/p>\n<p>\/\/get input values\nvar x1 = +document.getElementById('x1').value;\nvar s1 = +document.getElementById('s1').value;\nvar v1 = +document.getElementById('v1').value;\nvar x2 = +document.getElementById('x2').value;\nvar s2 = +document.getElementById('s2').value;\nvar v2 = +document.getElementById('v2').value;<\/p>\n<p>\/\/calculate stuff\nvar z1 = (v1-x1)\/s1;\nvar z2 = (v2-x2)\/s2;<\/p>\n<p>\/\/output results\ndocument.getElementById('v1out').innerHTML = v1;\ndocument.getElementById('x1out').innerHTML = x1;\ndocument.getElementById('s1out').innerHTML = s1;\ndocument.getElementById('z1').innerHTML = z1.toFixed(4);\ndocument.getElementById('v2out').innerHTML = v2;\ndocument.getElementById('x2out').innerHTML = x2;\ndocument.getElementById('s2out').innerHTML = s2;\ndocument.getElementById('z2').innerHTML = z2.toFixed(4);\n}<\/p>\n<p><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ein Z-Score gibt an, um wie viele Standardabweichungen ein einzelner Datenwert vom Mittelwert abweicht. Es wird wie folgt berechnet: Z-Score = (x \u2013 \u03bc) \/ \u03c3 Gold: x: individueller Datenwert \u03bc: Bev\u00f6lkerungsdurchschnitt \u03c3: Populationsstandardabweichung Mit diesem Rechner k\u00f6nnen Sie die relative Position zweier Datenpunkte anhand ihrer Z-Scores vergleichen. F\u00fcllen Sie einfach die Felder unten aus [&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>Vergleichen Sie den Z-Score-Rechner \u2013 Statistik<\/title>\n<meta name=\"description\" content=\"Dieser Rechner vergleicht zwei Datenpunkte anhand ihrer Z-Scores.\" \/>\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\/vergleichen-sie-den-z-score-rechner\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Vergleichen Sie den Z-Score-Rechner \u2013 Statistik\" \/>\n<meta property=\"og:description\" content=\"Dieser Rechner vergleicht zwei Datenpunkte anhand ihrer Z-Scores.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/de\/vergleichen-sie-den-z-score-rechner\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T23:03:05+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\/vergleichen-sie-den-z-score-rechner\/\",\"url\":\"https:\/\/statorials.org\/de\/vergleichen-sie-den-z-score-rechner\/\",\"name\":\"Vergleichen Sie den Z-Score-Rechner \u2013 Statistik\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/de\/#website\"},\"datePublished\":\"2023-07-28T23:03:05+00:00\",\"dateModified\":\"2023-07-28T23:03:05+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/de\/#\/schema\/person\/ec75c4d6365f2708f8a0ad3a42121aa0\"},\"description\":\"Dieser Rechner vergleicht zwei Datenpunkte anhand ihrer Z-Scores.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/de\/vergleichen-sie-den-z-score-rechner\/#breadcrumb\"},\"inLanguage\":\"de-DE\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/de\/vergleichen-sie-den-z-score-rechner\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/de\/vergleichen-sie-den-z-score-rechner\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Heim\",\"item\":\"https:\/\/statorials.org\/de\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Vergleichen sie den z-score-rechner\"}]},{\"@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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