{"id":725,"date":"2023-07-28T23:17:14","date_gmt":"2023-07-28T23:17:14","guid":{"rendered":"https:\/\/statorials.org\/pl\/kalkulator-przedzialu-ufnosci-roznica-pomiedzy-srednimi\/"},"modified":"2023-07-28T23:17:14","modified_gmt":"2023-07-28T23:17:14","slug":"kalkulator-przedzialu-ufnosci-roznica-pomiedzy-srednimi","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/kalkulator-przedzialu-ufnosci-roznica-pomiedzy-srednimi\/","title":{"rendered":"Przedzia\u0142 ufno\u015bci dla kalkulatora r\u00f3\u017cnicy mi\u0119dzy \u015brednimi"},"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\"><b>Przedzia\u0142 ufno\u015bci dla r\u00f3\u017cnicy mi\u0119dzy \u015brednimi<\/b> to zakres warto\u015bci, kt\u00f3ry mo\u017ce zawiera\u0107 prawdziw\u0105 r\u00f3\u017cnic\u0119 mi\u0119dzy dwiema \u015brednimi populacji przy pewnym poziomie ufno\u015bci.<\/div>\n<div id=\"words_intro\"> Wz\u00f3r na obliczenie przedzia\u0142u ufno\u015bci jest nast\u0119puj\u0105cy:<\/div>\n<div id=\"words_intro\"> Przedzia\u0142 ufno\u015bci = ( <span style=\"text-decoration:overline\">x<\/span> <sub>1<\/sub> \u2013 <span style=\"text-decoration:overline\">x<\/span> <sub>2<\/sub> ) +\/- t*\u221a((s <sub>p<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> ) + (s <sub>p<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub> ))<\/div>\n<div id=\"words_intro\"> Z\u0142oto:<\/div>\n<div id=\"words_intro\">\n<ul>\n<li> <span style=\"text-decoration:overline\">x<\/span> <sub>1<\/sub> , <span style=\"text-decoration:overline\">x<\/span> <sub>2<\/sub> : \u015brednia z pr\u00f3bki 1, \u015brednia z pr\u00f3bki 2<\/li>\n<li> t: warto\u015b\u0107 krytyczna t w oparciu o poziom ufno\u015bci<\/li>\n<li> s <sub>p<\/sub> <sup>2<\/sup> : wariancja zgrupowana<\/li>\n<li> n <sub>1<\/sub> , n <sub>2<\/sub> : wielko\u015b\u0107 pr\u00f3by 1, wielko\u015b\u0107 pr\u00f3by 2<\/li>\n<\/ul>\n<\/div>\n<div id=\"words_intro\"> Aby znale\u017a\u0107 przedzia\u0142 ufno\u015bci dla r\u00f3\u017cnicy mi\u0119dzy dwoma \u015brednimi, po prostu wype\u0142nij poni\u017csze pola, a nast\u0119pnie kliknij przycisk \u201eOblicz\u201d.<\/div>\n<div id=\"words\"> <label><b><span style=\"text-decoration:overline\">x<\/span> <sub>1<\/sub><\/b> (\u015brednia z pr\u00f3bki 1)<\/label><input type=\"number\" id=\"x1\" value=\"15.1\"><\/div>\n<div id=\"words\"> <label><b>s <sub>1<\/sub><\/b> (odchylenie standardowe pr\u00f3bki 1)<\/label><input type=\"number\" id=\"s1\" value=\"4.3\"><\/div>\n<div id=\"words\"> <label><b>n <sub>1<\/sub><\/b> (rozmiar pr\u00f3bki 1)<\/label><input type=\"number\" id=\"n1\" value=\"22\"><\/div>\n<div id=\"words\"> <label><b><span style=\"text-decoration:overline\">x<\/span> <sub>2<\/sub><\/b> (\u015brednia z pr\u00f3bki 2)<\/label><input type=\"number\" id=\"x2\" value=\"14.3\"><\/div>\n<div id=\"words\"> <label><b>s <sub>2<\/sub><\/b> (odchylenie standardowe pr\u00f3bki 2)<\/label><input type=\"number\" id=\"s2\" value=\"4.9\"><\/div>\n<div id=\"words\"> <label><b>n <sub>2<\/sub><\/b> (rozmiar pr\u00f3bki 2)<\/label><input type=\"number\" id=\"n2\" value=\"22\"><\/div>\n<div id=\"words\"> <label><b>Poziom pewno\u015bci<\/b><\/label> <input type=\"number\" id=\"conf\" value=\"0.95\" step=\"0.01\" min=\"0\" max=\"1\"><\/div>\n<div id=\"words_calc\"><input type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div>\n<p style=\"text-align:center\"> <span id=\"confOut\">95<\/span> % CI = [ <span id=\"low\">-2,0049<\/span> , <span id=\"high\">3,6049<\/span> ]<\/p>\n<\/div>\n<div id=\"words_intro\"> Mo\u017cesz by\u0107 <span id=\"confOut2\">w 95<\/span> % pewien, \u017ce przedzia\u0142 [ <span id=\"low2\">-2,0049<\/span> , <span id=\"high2\">3,6049<\/span> ] zawiera prawdziw\u0105 r\u00f3\u017cnic\u0119 pomi\u0119dzy \u015brednimi populacji <sub>\u03bc1<\/sub> i <sub>\u03bc2<\/sub> .<\/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 n1 = +document.getElementById('n1').value;\nvar x2 = +document.getElementById('x2').value;\nvar s2 = +document.getElementById('s2').value;\nvar n2 = +document.getElementById('n2').value;\nvar conf = +document.getElementById('conf').value;<\/p>\n<p>var confUse = conf - (-(1-conf)\/2);\nvar confOut = conf*100;\nvar df = n1 - (-1*n2) - 2;\nvar s2p = ((n1-1)*(Math.pow(s1,2)) - ((-1*(n2-1))*Math.pow(s2,2))) \/ df;<\/p>\n<p>\/\/calculate stuff\nvar meanDiff = x1-x2;\nvar t = jStat.studentt.inv(confUse, df);\nvar se = Math.sqrt((s2p\/n1) - (-1*s2p\/n2));<\/p>\n<p>var low = meanDiff - (t*se);\nvar high = meanDiff - (-1*t*se);\nconsole.log(s2p);<\/p>\n<p>\/\/output results\ndocument.getElementById('confOut').innerHTML = confOut;\ndocument.getElementById('confOut2').innerHTML = confOut;\ndocument.getElementById('low').innerHTML = low.toFixed(4);\ndocument.getElementById('low2').innerHTML = low.toFixed(4);\ndocument.getElementById('high').innerHTML = high.toFixed(4);\ndocument.getElementById('high2').innerHTML = high.toFixed(4);\n}<\/p>\n<p><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Przedzia\u0142 ufno\u015bci dla r\u00f3\u017cnicy mi\u0119dzy \u015brednimi to zakres warto\u015bci, kt\u00f3ry mo\u017ce zawiera\u0107 prawdziw\u0105 r\u00f3\u017cnic\u0119 mi\u0119dzy dwiema \u015brednimi populacji przy pewnym poziomie ufno\u015bci. Wz\u00f3r na obliczenie przedzia\u0142u ufno\u015bci jest nast\u0119puj\u0105cy: Przedzia\u0142 ufno\u015bci = ( x 1 \u2013 x 2 ) +\/- t*\u221a((s p 2 \/n 1 ) + (s p 2 \/n 2 )) Z\u0142oto: x [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-725","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Przedzia\u0142 ufno\u015bci dla kalkulatora r\u00f3\u017cnicy mi\u0119dzy \u015brednimi<\/title>\n<meta name=\"description\" content=\"Kalkulator ten oblicza przedzia\u0142 ufno\u015bci dla r\u00f3\u017cnicy pomi\u0119dzy dwoma \u015brednimi na podstawie danych wprowadzonych przez u\u017cytkownika.\" \/>\n<meta name=\"robots\" content=\"index, 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