{"id":514,"date":"2023-07-29T15:49:51","date_gmt":"2023-07-29T15:49:51","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%ad%d8%a7%d8%b3%d8%a8%d8%a9-%d9%82%d9%88%d8%a7%d8%b9%d8%af-%d8%a7%d9%84%d9%82%d8%b1%d8%a7%d8%b1\/"},"modified":"2023-07-29T15:49:51","modified_gmt":"2023-07-29T15:49:51","slug":"%d8%ad%d8%a7%d8%b3%d8%a8%d8%a9-%d9%82%d9%88%d8%a7%d8%b9%d8%af-%d8%a7%d9%84%d9%82%d8%b1%d8%a7%d8%b1","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%ad%d8%a7%d8%b3%d8%a8%d8%a9-%d9%82%d9%88%d8%a7%d8%b9%d8%af-%d8%a7%d9%84%d9%82%d8%b1%d8%a7%d8%b1\/","title":{"rendered":"\u062d\u0627\u0633\u0628\u0629 \u0642\u0648\u0627\u0639\u062f \u0627\u0644\u0642\u0631\u0627\u0631"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\"><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\" style=\";text-align:right;direction:rtl\">\u0641\u064a \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u060c \u0646\u0631\u064a\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u064a\u0646\u0628\u063a\u064a \u0639\u0644\u064a\u0646\u0627 \u0631\u0641\u0636 \u0641\u0631\u0636\u064a\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0623\u0645 \u0644\u0627.<\/div>\n<div id=\"words_intro\" style=\";text-align:right;direction:rtl\"> \u0644\u0627\u062a\u062e\u0627\u0630 \u0647\u0630\u0627 \u0627\u0644\u0642\u0631\u0627\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0628\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0627\u0644\u0630\u064a \u0627\u062e\u062a\u0631\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0644\u0644\u0627\u062e\u062a\u0628\u0627\u0631. \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0642\u064a\u0645\u0629 p \u0623\u0642\u0644 \u0645\u0646 \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0647\u0645\u064a\u0629\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0631\u0641\u0636 \u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0639\u062f\u0645. \u0648\u0625\u0644\u0627 \u0641\u0625\u0646\u0646\u0627 \u0633\u0648\u0641 \u0646\u0641\u0634\u0644 \u0641\u064a \u0631\u0641\u0636 \u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0639\u062f\u0645.<\/div>\n<div id=\"words_intro\" style=\";text-align:right;direction:rtl\"> \u062a\u062e\u0628\u0631\u0643 \u0647\u0630\u0647 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u064a\u062c\u0628 \u0639\u0644\u064a\u0643 \u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 \u0623\u0645 \u0644\u0627 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0642\u064a\u0645\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631\u060c \u0648\u062a\u0646\u0633\u064a\u0642 \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 (\u0623\u062d\u0627\u062f\u064a \u0627\u0644\u0637\u0631\u0641 \u0623\u0648 \u062b\u0646\u0627\u0626\u064a \u0627\u0644\u0637\u0631\u0641)\u060c \u0648\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0627\u0644\u0630\u064a \u0627\u062e\u062a\u0631\u062a \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647.<\/div>\n<div id=\"words\" style=\";text-align:right;direction:rtl\">\n<p style=\"text-align: left;text-align:right;direction:rtl\"> <b>\u0641\u0631\u0636\u064a\u0629 \u0623\u062d\u0627\u062f\u064a\u0629 \u0623\u0645 \u062b\u0646\u0627\u0626\u064a\u0629\u061f<\/b><\/p>\n<p style=\";text-align:right;direction:rtl\"> <label class=\"label_radio\" for=\"one_tailed\">\u0645\u0646 \u062c\u0627\u0646\u0628 \u0648\u0627\u062d\u062f<\/label><input type=\"radio\" id=\"one_tailed\" name=\"tails\"> <label class=\"label_radio\" for=\"two_tailed\">\u0630\u0648 \u0627\u0644\u0630\u064a\u0644<\/label> <input type=\"radio\" id=\"two_tailed\" name=\"tails\" checked=\"\"><\/p>\n<\/div>\n<div id=\"words\" style=\";text-align:right;direction:rtl\">\n<p style=\"text-align: left;text-align:right;direction:rtl\"> <b>\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062f\u0644\u0627\u0644\u0629 \u0627\u0648 \u0627\u0644\u0627\u0647\u0645\u064a\u0647<\/b><\/p>\n<p style=\";text-align:right;direction:rtl\"> <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\" style=\";text-align:right;direction:rtl\">\n<p style=\"text-align: left;text-align:right;direction:rtl\"> <b>\u0625\u062d\u0635\u0627\u0626\u064a\u0629 Z \u0623\u0648 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 T\u061f<\/b><\/p>\n<p style=\";text-align:right;direction:rtl\"> <label class=\"label_radio\" for=\"z\">\u0625\u062d\u0635\u0627\u0626\u064a\u0629 Z<\/label><input type=\"radio\" id=\"z\" name=\"test_stats\" onclick=\"dataOption()\" checked=\"\"> <label class=\"label_radio\" for=\"t\">t-\u0625\u062d\u0635\u0627\u0626\u064a\u0629<\/label><input type=\"radio\" id=\"t\" name=\"test_stats\" onclick=\"dataOption()\"><\/p>\n<\/div>\n<div id=\"words_t\" style=\";text-align:right;direction:rtl\"> <label class=\"input_label_calc\" for=\"dof\"><b>\u062f\u0631\u062c\u0627\u062a \u0627\u0644\u062d\u0631\u064a\u0629<\/b><\/label><input class=\"input_label_calc\" type=\"number\" id=\"dof\" value=\"17\"><\/div>\n<div id=\"words\" style=\";text-align:right;direction:rtl\"><label class=\"input_label_calc\" for=\"stat\"><b>\u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629<\/b><\/label> <input class=\"input_label_calc\" type=\"number\" id=\"stat\" value=\"1.34\"><\/div>\n<div id=\"words\" style=\";text-align:right;direction:rtl\"><input class=\"input_label_calc\" type=\"button\" id=\"button_calc\" onclick=\"calc()\" value=\"Find Decision Rule\"><\/div>\n<div id=\"words_outro\" style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\"> \u0642\u0627\u0639\u062f\u0629 \u0627\u0644\u0642\u0631\u0627\u0631: <b><span id=\"decision\">\u0644\u0627 \u062a\u0631\u0641\u0636 \u0627\u0644\u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0635\u0641\u0631\u064a\u0629<\/span><\/b><\/p>\n<\/div>\n<hr>\n<div id=\"words_outro\" style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\"> <b>\u062a\u0648\u0636\u064a\u062d:<\/b><\/p>\n<\/div>\n<div id=\"words_intro\" style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0642\u064a\u0645\u0629 p <span id=\"test_output_name\">\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a Z<\/span> \u0627\u0644\u0628\u0627\u0644\u063a\u0629 <span id=\"test_output\">1.34<\/span> \u0644\u0644\u0627\u062e\u062a\u0628\u0627\u0631 <span id=\"test_output_tail\">\u062b\u0646\u0627\u0626\u064a \u0627\u0644\u0637\u0631\u0641<\/span> \u0647\u064a <b><span id=\"p_output\">0.18025<\/span><\/b> . \u0648\u0628\u0645\u0627 \u0623\u0646 \u0647\u0630\u0647 \u0627\u0644\u0642\u064a\u0645\u0629 p <span id=\"test_output_sign\">\u0623\u0643\u0628\u0631 \u0645\u0646<\/span> <span id=\"test_output_sig\">0.05<\/span> \u060c \u0641\u0625\u0646\u0646\u0627 <b><span id=\"test_output_decision\">\u0646\u0641\u0634\u0644 \u0641\u064a \u0631\u0641\u0636 \u0641\u0631\u0636\u064a\u0629 \u0627\u0644\u0639\u062f\u0645<\/span><\/b> .<\/p>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"><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>\u0641\u064a \u0627\u062e\u062a\u0628\u0627\u0631 \u0627\u0644\u0641\u0631\u0636\u064a\u0627\u062a \u060c \u0646\u0631\u064a\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u064a\u0646\u0628\u063a\u064a \u0639\u0644\u064a\u0646\u0627 \u0631\u0641\u0636 \u0641\u0631\u0636\u064a\u0629 \u0625\u062d\u0635\u0627\u0626\u064a\u0629 \u0623\u0645 \u0644\u0627. \u0644\u0627\u062a\u062e\u0627\u0630 \u0647\u0630\u0627 \u0627\u0644\u0642\u0631\u0627\u0631\u060c \u0646\u0642\u0648\u0645 \u0628\u0645\u0642\u0627\u0631\u0646\u0629 \u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a \u0627\u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0628\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0627\u0644\u0630\u064a \u0627\u062e\u062a\u0631\u0646\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u0647 \u0644\u0644\u0627\u062e\u062a\u0628\u0627\u0631. \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0642\u064a\u0645\u0629 p \u0623\u0642\u0644 \u0645\u0646 \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0623\u0647\u0645\u064a\u0629\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0631\u0641\u0636 \u0641\u0631\u0636\u064a\u0629 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