{"id":741,"date":"2023-07-28T21:55:05","date_gmt":"2023-07-28T21:55:05","guid":{"rendered":"https:\/\/statorials.org\/uk\/%d1%82%d0%b5%d1%81%d1%82%d0%be%d0%b2%d0%b8%d0%b8-%d0%ba%d0%b0%d0%bb%d1%8c%d0%ba%d1%83%d0%bb%d1%8f%d1%82%d0%be%d1%80-%d0%b4%d0%b2%d0%be%d1%85-%d0%b7%d1%80%d0%b0%d0%b7%d0%ba%d1%96%d0%b2\/"},"modified":"2023-07-28T21:55:05","modified_gmt":"2023-07-28T21:55:05","slug":"%d1%82%d0%b5%d1%81%d1%82%d0%be%d0%b2%d0%b8%d0%b8-%d0%ba%d0%b0%d0%bb%d1%8c%d0%ba%d1%83%d0%bb%d1%8f%d1%82%d0%be%d1%80-%d0%b4%d0%b2%d0%be%d1%85-%d0%b7%d1%80%d0%b0%d0%b7%d0%ba%d1%96%d0%b2","status":"publish","type":"post","link":"https:\/\/statorials.org\/uk\/%d1%82%d0%b5%d1%81%d1%82%d0%be%d0%b2%d0%b8%d0%b8-%d0%ba%d0%b0%d0%bb%d1%8c%d0%ba%d1%83%d0%bb%d1%8f%d1%82%d0%be%d1%80-%d0%b4%d0%b2%d0%be%d1%85-%d0%b7%d1%80%d0%b0%d0%b7%d0%ba%d1%96%d0%b2\/","title":{"rendered":"\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0434\u0432\u043e\u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u043e\u0433\u043e t-\u0442\u0435\u0441\u0442\u0443"},"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>#words_calc input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n    max-height: 35px;\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 {\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_output {\ntext-align: center;\n}<\/p>\n<p>#solution_div {\ntext-align: center;\n}<\/p>\n<p>#words_intro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\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>.text_areas {\ncolor: black;\nfont-family: Raleway;\nmax-width: 350px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>.label_radio {\ntext-align: center;\n}\n<\/style>\n<div id=\"words_intro\"><b>\u0414\u0432\u043e\u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0456\u0439<\/b> \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f, \u0449\u043e\u0431 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u0438\u0442\u0438, \u0447\u0438 \u0440\u0456\u0432\u043d\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456 \u0434\u0432\u0456 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456 \u0447\u0438 \u043d\u0456.<\/div>\n<div id=\"words_intro\"> \u0426\u0435\u0439 \u0442\u0438\u043f \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u043f\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0430\u0454, \u0449\u043e \u0434\u0432\u0456 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u043c\u0430\u044e\u0442\u044c \u043e\u0434\u043d\u0430\u043a\u043e\u0432\u0456 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0457. \u042f\u043a\u0449\u043e \u043d\u0456, \u0432\u0430\u043c \u0441\u043b\u0456\u0434 \u0441\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u0442\u0438\u0441\u044f <a href=\"https:\/\/statorials.org\/uk\/\u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440-\u0442\u0435\u0441\u0442\u0443-\u0432\u0435\u043b\u0447\u0430\/\" target=\"_blank\" rel=\"noopener\">\u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u043e\u043c t-\u043a\u0440\u0438\u0442\u0435\u0440\u0456\u044e \u0412\u0435\u043b\u0447\u0430<\/a> .<\/div>\n<div id=\"words_intro\"> \u0429\u043e\u0431 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u0434\u0432\u043e\u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 t-\u0442\u0435\u0441\u0442, \u043f\u0440\u043e\u0441\u0442\u043e \u0437\u0430\u043f\u043e\u0432\u043d\u0456\u0442\u044c \u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0456\u044e \u043d\u0438\u0436\u0447\u0435 \u0442\u0430 \u043d\u0430\u0442\u0438\u0441\u043d\u0456\u0442\u044c \u043a\u043d\u043e\u043f\u043a\u0443 \u00ab\u041e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438\u00bb.<\/div>\n<div id=\"words\"> <label class=\"label_radio\" for=\"raw\">\u0412\u0432\u0435\u0434\u0456\u0442\u044c \u043d\u0435\u043e\u0431\u0440\u043e\u0431\u043b\u0435\u043d\u0456 \u0434\u0430\u043d\u0456<\/label><input type=\"radio\" id=\"raw\" name=\"tails\" onclick=\"check()\" checked=\"\"> <label class=\"label_radio\" for=\"summary\">\u0412\u0432\u0435\u0434\u0456\u0442\u044c \u043f\u0456\u0434\u0441\u0443\u043c\u043a\u043e\u0432\u0456 \u0434\u0430\u043d\u0456<\/label> <input type=\"radio\" id=\"summary\" name=\"tails\" onclick=\"check()\"><\/div>\n<div id=\"words_table\">\n<div class=\"text_areas\">\n<p style=\"text-align:center\"> <b>\u0417\u0440\u0430\u0437\u043e\u043a 1<\/b><\/p>\n<p><textarea id=\"rawData1\" rows=\"5\" cols=\"40\"> 301, 298, 295, 297, 304, 305, 309, 298, 291, 299, 293, 304<\/textarea><\/p>\n<\/div>\n<div class=\"text_areas\">\n<p style=\"text-align:center\"> <b>\u0417\u0440\u0430\u0437\u043e\u043a 2<\/b><\/p>\n<p><textarea id=\"rawData2\" rows=\"5\" cols=\"40\"> 302, 309, 324, 313, 312, 310, 305, 298, 299, 300, 289, 294<\/textarea><\/p>\n<\/div>\n<\/div>\n<div id=\"summary_table\">\n<div id=\"words\"> <label><b><span style=\"text-decoration:overline\">x<\/span> <sub>1<\/sub><\/b> (\u0437\u0440\u0430\u0437\u043e\u043a 1 \u0441\u0435\u0440\u0435\u0434\u043d\u0454)<\/label><input type=\"number\" id=\"x1\" value=\"300\"><\/div>\n<div id=\"words\"> <label><b>s <sub>1<\/sub><\/b> (\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0435 \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u0437\u0440\u0430\u0437\u043a\u0430 1)<\/label><input type=\"number\" id=\"s1\" value=\"18.5\"><\/div>\n<div id=\"words\"> <label><b>n <sub>1<\/sub><\/b> (\u0440\u043e\u0437\u043c\u0456\u0440 \u0437\u0440\u0430\u0437\u043a\u0430 1)<\/label><input type=\"number\" id=\"n1\" value=\"40\"><\/div>\n<div id=\"words\"> <label><b><span style=\"text-decoration:overline\">x<\/span> <sub>2<\/sub><\/b> (\u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0437\u0440\u0430\u0437\u043a\u0430 2)<\/label><input type=\"number\" id=\"x2\" value=\"305\"><\/div>\n<div id=\"words\"> <label><b>s <sub>2<\/sub><\/b> (\u0441\u0442\u0430\u043d\u0434\u0430\u0440\u0442\u043d\u0435 \u0432\u0456\u0434\u0445\u0438\u043b\u0435\u043d\u043d\u044f \u0437\u0440\u0430\u0437\u043a\u0430 2)<\/label><input type=\"number\" id=\"s2\" value=\"16.7\"><\/div>\n<div id=\"words\"> <label><b>n <sub>2<\/sub><\/b> (\u0440\u043e\u0437\u043c\u0456\u0440 \u0437\u0440\u0430\u0437\u043a\u0430 2)<\/label> <input type=\"number\" id=\"n2\" value=\"38\"><\/div>\n<\/div>\n<div id=\"words_calc\"><input class=\"input_label_calc\" type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"words\">\n<p> <b>t =<\/b> <span id=\"t\">-1,608761<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>df =<\/b> <span id=\"df\">22<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>\u0440-\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f (\u043e\u0434\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0454) =<\/b> <span id=\"p1\">0,060963<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>p-\u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f (2-\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0454) =<\/b> <span id=\"p2\">0,121926<\/span><\/p>\n<\/div>\n<p><script><\/p>\n<p>\/\/set summary table to hidden to start\nvar summary_display = document.getElementById(\"summary_table\");\nsummary_display.style.display = \"none\";<\/p>\n<p>\/\/find which radio button is checked\nfunction check() {\nif (document.getElementById('raw').checked) {\n\tvar table_display = document.getElementById(\"words_table\");\n        table_display.style.display = \"block\";\n        var summary_display = document.getElementById(\"summary_table\");\n        summary_display.style.display = \"none\";\n\t} else {\n\tvar table_display = document.getElementById(\"words_table\");\n        table_display.style.display = \"none\";\n        var summary_display = document.getElementById(\"summary_table\");\n        summary_display.style.display = \"block\";\n\t}<\/p>\n<p>} \/\/end check<\/p>\n<p>\/\/perform one-sample t-test\nfunction calc() {\nif (document.getElementById('summary').checked) {\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;<\/p>\n<p>var df = n1-(-1*n2)-2;\nvar sp = Math.sqrt(((n1-1)*Math.pow(s1,2) - (-1*((n2-1)*Math.pow(s2,2))))\/df);\nvar t = (x1-x2)\/(sp*Math.sqrt(1\/n1 - (-1\/n2)));\nif (t<0) {\nvar p1 = jStat.studentt.cdf(t, df);\nvar p2 = p1*2;\n} else {\nvar p1 = 1-jStat.studentt.cdf(t, df);\nvar p2 = p1*2;\n}\n\ndocument.getElementById('t').innerHTML = t.toFixed(6);\ndocument.getElementById('df').innerHTML = df;\ndocument.getElementById('p1').innerHTML = p1.toFixed(6);\ndocument.getElementById('p2').innerHTML = p2.toFixed(6);\n\t} else {\nvar raw1 = document.getElementById('rawData1').value.split(',').map(Number);\nvar raw2 = document.getElementById('rawData2').value.split(',').map(Number);\nvar x1 = math.mean(raw1)\nvar s1 = math.std(raw1)\nvar n1 = raw1.length;\nvar x2 = math.mean(raw2)\nvar s2 = math.std(raw2)\nvar n2 = raw2.length;\n\nvar df = n1-(-1*n2)-2;\nvar sp = Math.sqrt(((n1-1)*Math.pow(s1,2) - (-1*((n2-1)*Math.pow(s2,2))))\/df);\nvar t = (x1-x2)\/(sp*Math.sqrt(1\/n1 - (-1\/n2)));\nif (t<0) {\nvar p1 = jStat.studentt.cdf(t, df);\nvar p2 = p1*2;\n} else {\nvar p1 = 1-jStat.studentt.cdf(t, df);\nvar p2 = p1*2;\n}\n\ndocument.getElementById('t').innerHTML = t.toFixed(6);\ndocument.getElementById('df').innerHTML = df;\ndocument.getElementById('p1').innerHTML = p1.toFixed(6);\ndocument.getElementById('p2').innerHTML = p2.toFixed(6);\n\t}\n\n\/\/output results\n}\n\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0414\u0432\u043e\u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 t-\u043a\u0440\u0438\u0442\u0435\u0440\u0456\u0439 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f, \u0449\u043e\u0431 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u0438\u0442\u0438, \u0447\u0438 \u0440\u0456\u0432\u043d\u0456 \u0441\u0435\u0440\u0435\u0434\u043d\u0456 \u0434\u0432\u0456 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u0456 \u0447\u0438 \u043d\u0456. \u0426\u0435\u0439 \u0442\u0438\u043f \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0438 \u043f\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0430\u0454, \u0449\u043e \u0434\u0432\u0456 \u0432\u0438\u0431\u0456\u0440\u043a\u0438 \u043c\u0430\u044e\u0442\u044c \u043e\u0434\u043d\u0430\u043a\u043e\u0432\u0456 \u0434\u0438\u0441\u043f\u0435\u0440\u0441\u0456\u0457. \u042f\u043a\u0449\u043e \u043d\u0456, \u0432\u0430\u043c \u0441\u043b\u0456\u0434 \u0441\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u0442\u0438\u0441\u044f \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440\u043e\u043c t-\u043a\u0440\u0438\u0442\u0435\u0440\u0456\u044e \u0412\u0435\u043b\u0447\u0430 . \u0429\u043e\u0431 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u0434\u0432\u043e\u0432\u0438\u0431\u0456\u0440\u043a\u043e\u0432\u0438\u0439 t-\u0442\u0435\u0441\u0442, \u043f\u0440\u043e\u0441\u0442\u043e \u0437\u0430\u043f\u043e\u0432\u043d\u0456\u0442\u044c \u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0446\u0456\u044e \u043d\u0438\u0436\u0447\u0435 \u0442\u0430 \u043d\u0430\u0442\u0438\u0441\u043d\u0456\u0442\u044c \u043a\u043d\u043e\u043f\u043a\u0443 \u00ab\u041e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438\u00bb. \u0412\u0432\u0435\u0434\u0456\u0442\u044c \u043d\u0435\u043e\u0431\u0440\u043e\u0431\u043b\u0435\u043d\u0456 \u0434\u0430\u043d\u0456 \u0412\u0432\u0435\u0434\u0456\u0442\u044c \u043f\u0456\u0434\u0441\u0443\u043c\u043a\u043e\u0432\u0456 \u0434\u0430\u043d\u0456 \u0417\u0440\u0430\u0437\u043e\u043a 1 301, 298, 295, 297, [&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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ 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