{"id":404,"date":"2023-07-30T18:48:15","date_gmt":"2023-07-30T18:48:15","guid":{"rendered":"https:\/\/statorials.org\/de\/rechner-fur-mittlere-konfidenzintervalle\/"},"modified":"2023-07-30T18:48:15","modified_gmt":"2023-07-30T18:48:15","slug":"rechner-fur-mittlere-konfidenzintervalle","status":"publish","type":"post","link":"https:\/\/statorials.org\/de\/rechner-fur-mittlere-konfidenzintervalle\/","title":{"rendered":"Konfidenzintervall-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;\n}<\/p>\n<p>#words_pad {\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 label, input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #button {\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>    #button:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\n    }<\/p>\n<p>\t    .label_radio {\n\ttext-align: center;\n}\n<\/style>\n<div id=\"words\">\n<p style=\"text-align: left\">Dieser Rechner erstellt ein <a href=\"https:\/\/statorials.org\/de\/durchschnittliches-konfidenzintervall\/\" target=\"_blank\" rel=\"noopener\">Konfidenzintervall f\u00fcr einen Grundgesamtheitsmittelwert<\/a> mithilfe der folgenden Formel:<\/p>\n<p> Konfidenzintervall = <span style=\"text-decoration:overline\">x<\/span> +\/- z*(s\/\u221a <span style=\"text-decoration:overline\">n<\/span> )<\/p>\n<p style=\"text-align: left\"> Gold:<\/p>\n<ul>\n<li> <b><span style=\"text-decoration:overline\">x<\/span> :<\/b> Stichprobenmittel<\/li>\n<li> <b>z:<\/b> z-Wert, der dem Konfidenzniveau entspricht<\/li>\n<li> <b>s:<\/b> Stichprobenstandardabweichung<\/li>\n<li> <b>n:<\/b> Stichprobengr\u00f6\u00dfe<\/li>\n<\/ul>\n<p style=\"text-align: left\"> Um ein Konfidenzintervall f\u00fcr einen Grundgesamtheitsmittelwert zu erstellen, geben Sie einfach die folgenden Werte ein und klicken Sie dann auf die Schaltfl\u00e4che \u201eBerechnen\u201c:<\/p>\n<\/div>\n<div id=\"words_pad\"> <label for=\"mean\"><b>Beispieldurchschnitt<\/b><\/label><input type=\"number\" id=\"mean\" min=\"0\" value=\"17\"><\/div>\n<div id=\"words_pad\"> <label for=\"sd\"><b>Beispiel f\u00fcr Standardabweichung<\/b><\/label><input type=\"number\" id=\"sd\" min=\"0\" value=\"13.5\"><\/div>\n<div id=\"words_pad\"> <label for=\"n\"><b>Stichprobengr\u00f6\u00dfe (n)<\/b><\/label> <input type=\"number\" id=\"n\" min=\"0\" value=\"4\"><\/div>\n<div id=\"words_pad\"><input type=\"button\" id=\"button\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"words_pad\">\n<p> 90 %-Konfidenzintervall: <b>( <span id=\"low90\">5,896<\/span> , <span id=\"high90\">28,104<\/span> )<\/b><\/p>\n<\/div>\n<div id=\"words_pad\">\n<p> 95 %-Konfidenzintervall: <b>( <span id=\"low95\">3,770<\/span> , <span id=\"high95\">30,230<\/span> )<\/b><\/p>\n<\/div>\n<div id=\"words_pad\">\n<p> 99 %-Konfidenzintervall: <b>( <span id=\"low99\">-0,388<\/span> , <span id=\"high99\">34,388<\/span> )<\/b><\/p>\n<\/div>\n<p><script><\/p>\n<p>function calc() {<\/p>\n<p>\t\/\/get input degrees of freedom, t-value\n\tvar mean = document.getElementById('mean').value*1;\n\tvar sd = document.getElementById('sd').value*1;\n\tvar n = document.getElementById('n').value*1;<\/p>\n<p>\t\/\/define z-scores to use\n\tvar z_90 = 1.645;\n\tvar z_95 = 1.96;\n\tvar z_99 = 2.576;<\/p>\n<p>\t\/\/calculate intervals\n\tvar low_90 = mean - (z_90 * (sd\/(Math.sqrt(n))));\n\tvar high_90 = mean - (-1*(z_90 * (sd\/(Math.sqrt(n)))));<\/p>\n<p>\tvar low_95 = mean - (z_95 * (sd\/(Math.sqrt(n))));\n\tvar high_95 = mean - (-1*(z_95 * (sd\/(Math.sqrt(n)))));<\/p>\n<p>\tvar low_99 = mean - (z_99 * (sd\/(Math.sqrt(n))));\n\tvar high_99 = mean - (-1*(z_99 * (sd\/(Math.sqrt(n)))));<\/p>\n<p>\t\/\/output values\n    document.getElementById('low90').innerHTML = low_90.toFixed(3);\n\tdocument.getElementById('high90').innerHTML = high_90.toFixed(3);<\/p>\n<p>\tdocument.getElementById('low95').innerHTML = low_95.toFixed(3);\n\tdocument.getElementById('high95').innerHTML = high_95.toFixed(3);<\/p>\n<p>\tdocument.getElementById('low99').innerHTML = low_99.toFixed(3);\n\tdocument.getElementById('high99').innerHTML = high_99.toFixed(3);\n  }<\/p>\n<p><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dieser Rechner erstellt ein Konfidenzintervall f\u00fcr einen Grundgesamtheitsmittelwert mithilfe der folgenden Formel: Konfidenzintervall = x +\/- z*(s\/\u221a n ) Gold: x : Stichprobenmittel z: z-Wert, der dem Konfidenzniveau entspricht s: Stichprobenstandardabweichung n: Stichprobengr\u00f6\u00dfe Um ein Konfidenzintervall f\u00fcr einen Grundgesamtheitsmittelwert zu erstellen, geben Sie einfach die folgenden Werte ein und klicken Sie dann auf die Schaltfl\u00e4che [&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 - 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