{"id":513,"date":"2023-07-29T15:49:51","date_gmt":"2023-07-29T15:49:51","guid":{"rendered":"https:\/\/statorials.org\/ru\/%d0%ba%d0%b0%d0%bb%d1%8c%d0%ba%d1%83%d0%bb%d1%8f%d1%82%d0%be%d1%80-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%bf%d1%80%d0%b8%d0%bd%d1%8f%d1%82%d0%b8%d1%8f-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%b8%d0%b8\/"},"modified":"2023-07-29T15:49:51","modified_gmt":"2023-07-29T15:49:51","slug":"%d0%ba%d0%b0%d0%bb%d1%8c%d0%ba%d1%83%d0%bb%d1%8f%d1%82%d0%be%d1%80-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%bf%d1%80%d0%b8%d0%bd%d1%8f%d1%82%d0%b8%d1%8f-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%b8%d0%b8","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/%d0%ba%d0%b0%d0%bb%d1%8c%d0%ba%d1%83%d0%bb%d1%8f%d1%82%d0%be%d1%80-%d0%bf%d1%80%d0%b0%d0%b2%d0%b8%d0%bb-%d0%bf%d1%80%d0%b8%d0%bd%d1%8f%d1%82%d0%b8%d1%8f-%d1%80%d0%b5%d1%88%d0%b5%d0%bd%d0%b8%d0%b8\/","title":{"rendered":"\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u043f\u0440\u0430\u0432\u0438\u043b \u043f\u0440\u0438\u043d\u044f\u0442\u0438\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u0439"},"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>h1 {\ncolor: black;\ntext-align: center;\nmargin-top: 15px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>h2 {\ncolor: black;\nfont-size: 20px;\ntext-align: center;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>p {\ncolor: black;\ntext-align: center;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\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_outro {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\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_t {\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;\nmargin-top: 10px;\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>.input_label_calc {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #button_calc {\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_calc: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_intro\">\u041f\u0440\u0438 \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0435 \u0433\u0438\u043f\u043e\u0442\u0435\u0437 \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u0437\u043d\u0430\u0442\u044c, \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043b\u0438 \u043d\u0430\u043c \u043e\u0442\u0432\u0435\u0440\u0433\u0430\u0442\u044c \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443.<\/div>\n<div id=\"words_intro\"> \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u0438\u043d\u044f\u0442\u044c \u044d\u0442\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u0435, \u043c\u044b \u0441\u0440\u0430\u0432\u043d\u0438\u0432\u0430\u0435\u043c p-\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0442\u0435\u0441\u0442\u043e\u0432\u043e\u0439 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u0441 \u0443\u0440\u043e\u0432\u043d\u0435\u043c \u0437\u043d\u0430\u0447\u0438\u043c\u043e\u0441\u0442\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043c\u044b \u0440\u0435\u0448\u0438\u043b\u0438 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0434\u043b\u044f \u0442\u0435\u0441\u0442\u0430. \u0415\u0441\u043b\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 p \u043c\u0435\u043d\u044c\u0448\u0435 \u0443\u0440\u043e\u0432\u043d\u044f \u0437\u043d\u0430\u0447\u0438\u043c\u043e\u0441\u0442\u0438, \u043c\u044b \u043e\u0442\u0432\u0435\u0440\u0433\u0430\u0435\u043c \u043d\u0443\u043b\u0435\u0432\u0443\u044e \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443. \u0412 \u043f\u0440\u043e\u0442\u0438\u0432\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u044b \u043d\u0435 \u0441\u043c\u043e\u0436\u0435\u043c \u043e\u0442\u0432\u0435\u0440\u0433\u043d\u0443\u0442\u044c \u043d\u0443\u043b\u0435\u0432\u0443\u044e \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443.<\/div>\n<div id=\"words_intro\"> \u042d\u0442\u043e\u0442 \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0441\u043e\u043e\u0431\u0449\u0438\u0442 \u0432\u0430\u043c, \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043b\u0438 \u0432\u0430\u043c \u043e\u0442\u043a\u043b\u043e\u043d\u0438\u0442\u044c \u043d\u0443\u043b\u0435\u0432\u0443\u044e \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443, \u043e\u0441\u043d\u043e\u0432\u044b\u0432\u0430\u044f\u0441\u044c \u043d\u0430 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0438 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u0442\u0435\u0441\u0442\u0430, \u0444\u043e\u0440\u043c\u0430\u0442\u0435 \u0442\u0435\u0441\u0442\u0430 (\u043e\u0434\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0438\u0439 \u0438\u043b\u0438 \u0434\u0432\u0443\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0438\u0439) \u0438 \u0443\u0440\u043e\u0432\u043d\u0435 \u0437\u043d\u0430\u0447\u0438\u043c\u043e\u0441\u0442\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0432\u044b \u0432\u044b\u0431\u0440\u0430\u043b\u0438.<\/div>\n<div id=\"words\">\n<p style=\"text-align: left\"> <b>\u041e\u0434\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u044f\u044f \u0438\u043b\u0438 \u0434\u0432\u0443\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u044f\u044f \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0430?<\/b><\/p>\n<p> <label class=\"label_radio\" for=\"one_tailed\">\u043e\u0434\u043d\u043e\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0438\u0439<\/label><input type=\"radio\" id=\"one_tailed\" name=\"tails\"> <label class=\"label_radio\" for=\"two_tailed\">\u0414\u0432\u0443\u0445\u0432\u043e\u0441\u0442\u044b\u0439<\/label> <input type=\"radio\" id=\"two_tailed\" name=\"tails\" checked=\"\"><\/p>\n<\/div>\n<div id=\"words\">\n<p style=\"text-align: left\"> <b>\u0423\u0440\u043e\u0432\u0435\u043d\u044c \u0437\u043d\u0430\u0447\u0438\u043c\u043e\u0441\u0442\u0438<\/b><\/p>\n<p> <label class=\"label_radio\" for=\"one\">0,01<\/label><input type=\"radio\" id=\"one\" name=\"sig\" value=\"0.01\"> <label class=\"label_radio\" for=\"five\">0,05<\/label><input type=\"radio\" id=\"five\" name=\"sig\" value=\"0.05\" checked=\"\"> <label class=\"label_radio\" for=\"ten\">0,10<\/label> <input type=\"radio\" id=\"ten\" name=\"sig\" value=\"0.10\"><\/p>\n<\/div>\n<div id=\"words\">\n<p style=\"text-align: left\"> <b>Z-\u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u0438\u043b\u0438 T-\u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430?<\/b><\/p>\n<p> <label class=\"label_radio\" for=\"z\">Z-\u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430<\/label><input type=\"radio\" id=\"z\" name=\"test_stats\" onclick=\"dataOption()\" checked=\"\"> <label class=\"label_radio\" for=\"t\">t-\u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430<\/label><input type=\"radio\" id=\"t\" name=\"test_stats\" onclick=\"dataOption()\"><\/p>\n<\/div>\n<div id=\"words_t\"> <label class=\"input_label_calc\" for=\"dof\"><b>\u0421\u0442\u0435\u043f\u0435\u043d\u0438 \u0441\u0432\u043e\u0431\u043e\u0434\u044b<\/b><\/label><input class=\"input_label_calc\" type=\"number\" id=\"dof\" value=\"17\"><\/div>\n<div id=\"words\"><label class=\"input_label_calc\" for=\"stat\"><b>\u0421\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0442\u0435\u0441\u0442\u0430<\/b><\/label> <input class=\"input_label_calc\" type=\"number\" id=\"stat\" value=\"1.34\"><\/div>\n<div id=\"words\"><input class=\"input_label_calc\" type=\"button\" id=\"button_calc\" onclick=\"calc()\" value=\"Find Decision Rule\"><\/div>\n<div id=\"words_outro\">\n<p> \u041f\u0440\u0430\u0432\u0438\u043b\u043e \u043f\u0440\u0438\u043d\u044f\u0442\u0438\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f: <b><span id=\"decision\">\u043d\u0435 \u043e\u0442\u0432\u0435\u0440\u0433\u0430\u0442\u044c \u043d\u0443\u043b\u0435\u0432\u0443\u044e \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443.<\/span><\/b><\/p>\n<\/div>\n<hr>\n<div id=\"words_outro\">\n<p> <b>\u041e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435:<\/b><\/p>\n<\/div>\n<div id=\"words_intro\">\n<p> \u0417\u043d\u0430\u0447\u0435\u043d\u0438\u0435 p \u0434\u043b\u044f <span id=\"test_output_name\">\u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 Z<\/span> <span id=\"test_output\">1,34<\/span> \u0434\u043b\u044f <span id=\"test_output_tail\">\u0434\u0432\u0443\u0441\u0442\u043e\u0440\u043e\u043d\u043d\u0435\u0433\u043e<\/span> \u0442\u0435\u0441\u0442\u0430 \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 <b><span id=\"p_output\">0,18025<\/span><\/b> . \u041f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u044d\u0442\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 p <span id=\"test_output_sign\">\u0431\u043e\u043b\u044c\u0448\u0435<\/span> <span id=\"test_output_sig\">0,05<\/span> , \u043c\u044b <b><span id=\"test_output_decision\">\u043d\u0435 \u043c\u043e\u0436\u0435\u043c \u043e\u0442\u0432\u0435\u0440\u0433\u043d\u0443\u0442\u044c \u043d\u0443\u043b\u0435\u0432\u0443\u044e \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443<\/span><\/b> .<\/p>\n<\/div>\n<p><script>\n\/\/create function that shows or hides elements based on button click\nvar div_table = document.getElementById('words_t');\ndiv_table.style.display = 'none';\nfunction dataOption() {\n    if (document.getElementById('t').checked) {\n\tdiv_table.style.display = 'block';\n       } else {\n\tdiv_table.style.display = 'none';\n      }\n}<\/p>\n<p>function calc() {\t\n\/\/get test statistic\nvar input_test_stat = document.getElementById('stat').value*1;\nvar dof = document.getElementById('dof').value*1;<\/p>\n<p>\/\/get tails input\nvar input_tails = 1;\nvar output_tail = 'one-tailed';\nif (document.getElementById('two_tailed').checked) {\n  input_tails = 2;\n  output_tail = 'two-tailed';\n}\t<\/p>\n<p>\/\/get significance level input\nvar input_sig = 0;\nif (document.getElementById('one').checked) {\n  sig_level = 0.01;\n} else if (document.getElementById('five').checked) {\n  sig_level = 0.05;\n} else {\n  sig_level = 0.10;\n}<\/p>\n<p>\/\/compute p-value\nvar p_output = jStat.normal.cdf(Math.abs(input_test_stat), 0, 1)*input_tails;\nvar input_test_name = 'Z-statistic';<\/p>\n<p>if (document.getElementById('t').checked) {\n  p_output = jStat.studentt.cdf(Math.abs(input_test_stat), dof)*input_tails;\n  var input_test_name = 't-statistic';\n}<\/p>\n<p>if (p_output >= 1) {\n  p_output = 2 - p_output;\n}<\/p>\n<p>\/\/last correction for one-tailed\nif (input_tails == 1) {\n  p_output = 1 - p_output;\n}\t\t<\/p>\n<p>\/\/compute decision rule\nvar test_output_sign = 'greater than';\nvar test_output_decision = 'fail to reject the null hypothesis';<\/p>\n<p>if (p_output < sig_level) {\nvar test_output_sign = 'less than';\nvar test_output_decision = 'reject the null hypothesis';}\n\n\/\/output\ndocument.getElementById('p_output').innerHTML = p_output.toFixed(5);\ndocument.getElementById('test_output_name').innerHTML = input_test_name;\ndocument.getElementById('test_output').innerHTML = input_test_stat;\ndocument.getElementById('test_output_tail').innerHTML = output_tail;\ndocument.getElementById('test_output_sign').innerHTML = test_output_sign;\ndocument.getElementById('test_output_sig').innerHTML = sig_level;\ndocument.getElementById('test_output_decision').innerHTML = test_output_decision;\ndocument.getElementById('decision').innerHTML = test_output_decision;\n}\n\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041f\u0440\u0438 \u043f\u0440\u043e\u0432\u0435\u0440\u043a\u0435 \u0433\u0438\u043f\u043e\u0442\u0435\u0437 \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u0437\u043d\u0430\u0442\u044c, \u0441\u043b\u0435\u0434\u0443\u0435\u0442 \u043b\u0438 \u043d\u0430\u043c \u043e\u0442\u0432\u0435\u0440\u0433\u0430\u0442\u044c \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u0435\u0441\u043a\u0443\u044e \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443. \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u0438\u043d\u044f\u0442\u044c \u044d\u0442\u043e \u0440\u0435\u0448\u0435\u043d\u0438\u0435, \u043c\u044b \u0441\u0440\u0430\u0432\u043d\u0438\u0432\u0430\u0435\u043c p-\u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0442\u0435\u0441\u0442\u043e\u0432\u043e\u0439 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u0441 \u0443\u0440\u043e\u0432\u043d\u0435\u043c \u0437\u043d\u0430\u0447\u0438\u043c\u043e\u0441\u0442\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043c\u044b \u0440\u0435\u0448\u0438\u043b\u0438 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0434\u043b\u044f \u0442\u0435\u0441\u0442\u0430. \u0415\u0441\u043b\u0438 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 p \u043c\u0435\u043d\u044c\u0448\u0435 \u0443\u0440\u043e\u0432\u043d\u044f \u0437\u043d\u0430\u0447\u0438\u043c\u043e\u0441\u0442\u0438, \u043c\u044b \u043e\u0442\u0432\u0435\u0440\u0433\u0430\u0435\u043c \u043d\u0443\u043b\u0435\u0432\u0443\u044e \u0433\u0438\u043f\u043e\u0442\u0435\u0437\u0443. \u0412 \u043f\u0440\u043e\u0442\u0438\u0432\u043d\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043c\u044b \u043d\u0435 \u0441\u043c\u043e\u0436\u0435\u043c \u043e\u0442\u0432\u0435\u0440\u0433\u043d\u0443\u0442\u044c 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