{"id":741,"date":"2023-07-28T22:03:44","date_gmt":"2023-07-28T22:03:44","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d9%86%d9%85%d9%88%d8%b0%d8%ac-%d8%ad%d8%a7%d8%b3%d8%a8%d8%a9-%d9%84%d8%a7%d8%ae%d8%aa%d8%a8%d8%a7%d8%b1-t\/"},"modified":"2023-07-28T22:03:44","modified_gmt":"2023-07-28T22:03:44","slug":"%d9%86%d9%85%d9%88%d8%b0%d8%ac-%d8%ad%d8%a7%d8%b3%d8%a8%d8%a9-%d9%84%d8%a7%d8%ae%d8%aa%d8%a8%d8%a7%d8%b1-t","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d9%86%d9%85%d9%88%d8%b0%d8%ac-%d8%ad%d8%a7%d8%b3%d8%a8%d8%a9-%d9%84%d8%a7%d8%ae%d8%aa%d8%a8%d8%a7%d8%b1-t\/","title":{"rendered":"\u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0644\u0627\u062e\u062a\u0628\u0627\u0631 t"},"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>.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}\n.label_radio {\ntext-align: center;\n}\n<\/style>\n<div id=\"words_intro\" style=\";text-align:right;direction:rtl\">\u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 <b>\u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0639\u064a\u0646\u0629 \u0648\u0627\u062d\u062f\u0629<\/b> \u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0645\u062c\u062a\u0645\u0639 \u064a\u0633\u0627\u0648\u064a \u0642\u064a\u0645\u0629 \u0645\u0639\u064a\u0646\u0629 \u0623\u0645 \u0644\u0627.<\/div>\n<div id=\"words_intro\" style=\";text-align:right;direction:rtl\"> \u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0639\u064a\u0646\u0629 \u0648\u0627\u062d\u062f\u0629\u060c \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u0645\u0644\u0621 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0623\u062f\u0646\u0627\u0647 \u062b\u0645 \u0627\u0644\u0646\u0642\u0631 \u0641\u0648\u0642 \u0627\u0644\u0632\u0631 &#8220;\u0627\u062d\u0633\u0628&#8221;.<\/div>\n<div id=\"words\" style=\";text-align:right;direction:rtl\"> <label class=\"label_radio\" for=\"raw\">\u0623\u062f\u062e\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062e\u0627\u0645<\/label><input type=\"radio\" id=\"raw\" name=\"tails\" onclick=\"check()\" checked=\"\"> <label class=\"label_radio\" for=\"summary\">\u0623\u062f\u062e\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0648\u062c\u0632\u0629<\/label> <input type=\"radio\" id=\"summary\" name=\"tails\" onclick=\"check()\"><\/div>\n<div id=\"words_table\" style=\";text-align:right;direction:rtl\"><textarea id=\"rawData\" rows=\"5\" cols=\"40\"> 301\u060c 298\u060c 295\u060c 297\u060c 304\u060c 305\u060c 309\u060c 298\u060c 291\u060c 299\u060c 293\u060c 304<\/textarea><\/div>\n<div id=\"summary_table\" style=\";text-align:right;direction:rtl\">\n<div id=\"words\" style=\";text-align:right;direction:rtl\"> <label><b><span style=\"text-decoration:overline\">\u0633<\/span><\/b> (\u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0639\u064a\u0646\u0629)<\/label><input type=\"number\" id=\"x\" value=\"300\"><\/div>\n<div id=\"words\" style=\";text-align:right;direction:rtl\"> <label><b>\u0642<\/b> (\u0639\u064a\u0646\u0629 \u0627\u0644\u0627\u0646\u062d\u0631\u0627\u0641 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a)<\/label><input type=\"number\" id=\"s\" value=\"18.5\"><\/div>\n<div id=\"words\" style=\";text-align:right;direction:rtl\"> <label><b>\u0646<\/b> (\u062d\u062c\u0645 \u0627\u0644\u0639\u064a\u0646\u0629)<\/label><input type=\"number\" id=\"n\" value=\"40\"><\/div>\n<\/div>\n<div id=\"words\" style=\";text-align:right;direction:rtl\"> <label><b>\u03bc <sub>0<\/sub><\/b> (\u0645\u062a\u0648\u0633\u0637 \u0639\u062f\u062f \u0627\u0644\u0633\u0643\u0627\u0646 \u0627\u0644\u0627\u0641\u062a\u0631\u0627\u0636\u064a)<\/label> <input type=\"number\" id=\"mu\" value=\"310\"><\/div>\n<div id=\"words_calc\" style=\";text-align:right;direction:rtl\"><input class=\"input_label_calc\" type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"words\" style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\"> <b>\u0631 =<\/b> <span id=\"t\">0.3232<\/span><\/p>\n<\/div>\n<div id=\"words\" style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\"> <b>\u0645\u062f\u0627\u0641\u0639 =<\/b> <span id=\"df\">39<\/span><\/p>\n<\/div>\n<div id=\"words\" style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\"> <b>\u0627\u0644\u0642\u064a\u0645\u0629 p (\u0623\u062d\u0627\u062f\u064a\u0629 \u0627\u0644\u062c\u0627\u0646\u0628) =<\/b> <span id=\"p1\">0.1245<\/span><\/p>\n<\/div>\n<div id=\"words\" style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\"> <b>\u0627\u0644\u0642\u064a\u0645\u0629 p (\u0639\u0644\u0649 \u0627\u0644\u0648\u062c\u0647\u064a\u0646) =<\/b> <span id=\"p2\">0.3232<\/span><\/p>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"><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 mu = +document.getElementById('mu').value;\nvar x = +document.getElementById('x').value;\nvar s = +document.getElementById('s').value;\nvar n = +document.getElementById('n').value;<\/p>\n<p>var t = (x-mu)\/(s\/Math.sqrt(n));\nvar df = n-1;\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 raw = document.getElementById('rawData').value.split(',').map(Number);\nvar mu = +document.getElementById('mu').value;\nvar x = math.mean(raw)\nvar s = math.std(raw)\nvar n = raw.length;\n\nvar t = (x-mu)\/(s\/Math.sqrt(n));\nvar df = n-1;\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>\u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0639\u064a\u0646\u0629 \u0648\u0627\u062d\u062f\u0629 \u0644\u0627\u062e\u062a\u0628\u0627\u0631 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0645\u062c\u062a\u0645\u0639 \u064a\u0633\u0627\u0648\u064a \u0642\u064a\u0645\u0629 \u0645\u0639\u064a\u0646\u0629 \u0623\u0645 \u0644\u0627. \u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0639\u064a\u0646\u0629 \u0648\u0627\u062d\u062f\u0629\u060c \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u0645\u0644\u0621 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0623\u062f\u0646\u0627\u0647 \u062b\u0645 \u0627\u0644\u0646\u0642\u0631 \u0641\u0648\u0642 \u0627\u0644\u0632\u0631 &#8220;\u0627\u062d\u0633\u0628&#8221;. \u0623\u062f\u062e\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u062e\u0627\u0645 \u0623\u062f\u062e\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0627\u0644\u0645\u0648\u062c\u0632\u0629 301\u060c 298\u060c 295\u060c 297\u060c 304\u060c 305\u060c 309\u060c 298\u060c 291\u060c 299\u060c 293\u060c 304 \u0633 (\u0645\u062a\u0648\u0633\u0637 \u0627\u0644\u0639\u064a\u0646\u0629) \u0642 [&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 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u062d\u0627\u0633\u0628\u0629 \u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0639\u064a\u0646\u0629 \u0648\u0627\u062d\u062f\u0629 - \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0629<\/title>\n<meta name=\"description\" content=\"\u062a\u0642\u0648\u0645 \u0647\u0630\u0647 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0628\u0625\u062c\u0631\u0627\u0621 \u0627\u062e\u062a\u0628\u0627\u0631 t \u0644\u0639\u064a\u0646\u0629 \u0648\u0627\u062d\u062f\u0629 \u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0627\u0644\u0645\u062f\u062e\u0644\u0627\u062a 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