{"id":747,"date":"2023-07-28T21:47:40","date_gmt":"2023-07-28T21:47:40","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e9%9f%a6%e5%b0%94%e5%a5%87-t-%e6%a3%80%e9%aa%8c%e8%ae%a1%e7%ae%97%e5%99%a8\/"},"modified":"2023-07-28T21:47:40","modified_gmt":"2023-07-28T21:47:40","slug":"%e9%9f%a6%e5%b0%94%e5%a5%87-t-%e6%a3%80%e9%aa%8c%e8%ae%a1%e7%ae%97%e5%99%a8","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e9%9f%a6%e5%b0%94%e5%a5%87-t-%e6%a3%80%e9%aa%8c%e8%ae%a1%e7%ae%97%e5%99%a8\/","title":{"rendered":"\u97e6\u5c14\u5947\u7684 t \u68c0\u9a8c\u8ba1\u7b97\u5668"},"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>\u97e6\u5c14\u5947\u7684 t \u68c0\u9a8c<\/b>\u7528\u4e8e\u68c0\u9a8c\u4e24\u4e2a\u603b\u4f53\u7684\u5747\u503c\u662f\u5426\u76f8\u7b49\u3002<\/div>\n<div id=\"words_intro\">\u6b64\u7c7b\u68c0\u9a8c\u5e76\u4e0d\u5047\u8bbe\u4e24\u4e2a\u6837\u672c\u5177\u6709\u76f8\u7b49\u7684\u65b9\u5dee\u3002\u5982\u679c\u60a8\u60f3\u505a\u51fa\u6b64\u5047\u8bbe\uff0c\u5219\u5e94\u4f7f\u7528<a href=\"https:\/\/statorials.org\/cn\/ta-\u6d4b\u8bd5\u8ba1\u7b97\u5668-\u4e24\u4e2a\u6837\u672c\/\" target=\"_blank\" rel=\"noopener\">\u53cc\u6837\u672c t \u68c0\u9a8c\u8ba1\u7b97\u5668<\/a>\u3002<\/div>\n<div id=\"words_intro\">\u8981\u6267\u884c\u97e6\u5c14\u5947 t \u68c0\u9a8c\uff0c\u53ea\u9700\u586b\u5199\u4ee5\u4e0b\u4fe1\u606f\uff0c\u7136\u540e\u5355\u51fb\u201c\u8ba1\u7b97\u201d\u6309\u94ae\u3002<\/div>\n<div id=\"words\"><label class=\"label_radio\" for=\"raw\">\u8f93\u5165\u539f\u59cb\u6570\u636e<\/label><input type=\"radio\" id=\"raw\" name=\"tails\" onclick=\"check()\" checked=\"\"><label class=\"label_radio\" for=\"summary\">\u8f93\u5165\u6458\u8981\u6570\u636e<\/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>\u6837\u54c11<\/b><\/p>\n<p><textarea id=\"rawData1\" rows=\"5\" cols=\"40\"> 301\u3001298\u3001295\u3001297\u3001304\u3001305\u3001309\u3001298\u3001291\u3001299\u3001293\u3001304<\/textarea><\/p>\n<\/div>\n<div class=\"text_areas\">\n<p style=\"text-align:center\"><b>\u6837\u54c12<\/b><\/p>\n<p><textarea id=\"rawData2\" rows=\"5\" cols=\"40\"> 302\u3001309\u3001324\u3001313\u3001312\u3001310\u3001305\u3001298\u3001299\u3001300\u3001289\u3001294<\/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> \uff08\u6837\u672c 1 \u5e73\u5747\u503c\uff09<\/label><input type=\"number\" id=\"x1\" value=\"300\"><\/div>\n<div id=\"words\"> <label><b>s <sub>1<\/sub><\/b> \uff08\u6837\u672c 1 \u6807\u51c6\u5dee\uff09<\/label><input type=\"number\" id=\"s1\" value=\"18.5\"><\/div>\n<div id=\"words\"> <label><b>n <sub>1<\/sub><\/b> \uff08\u6837\u672c1\u5927\u5c0f\uff09<\/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> \uff08\u6837\u672c 2 \u7684\u5e73\u5747\u503c\uff09<\/label><input type=\"number\" id=\"x2\" value=\"305\"><\/div>\n<div id=\"words\"> <label><b>s <sub>2<\/sub><\/b> \uff08\u6837\u672c 1 \u6807\u51c6\u5dee\uff09<\/label><input type=\"number\" id=\"s2\" value=\"16.7\"><\/div>\n<div id=\"words\"> <label><b>n <sub>2<\/sub><\/b> \uff08\u6837\u672c2\u5927\u5c0f\uff09<\/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\">17<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>p \u503c\uff08\u5355\u4fa7\uff09=<\/b> <span id=\"p1\">0.063040<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>p \u503c\uff082 \u8fb9\uff09=<\/b> <span id=\"p2\">0.126080<\/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        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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;\nvar s12 = Math.pow(s1,2);\nvar s22 = Math.pow(s2,2);\n\nvar df1 = (Math.pow(s12\/n1 - (-1*s22\/n2),2)) \/ ((Math.pow(s12\/n1,2)\/(n1-1)) - (-1*Math.pow(s22\/n2,2)\/(n2-1)));\nvar df = Math.floor(df1);\nvar t = (x1-x2)\/(Math.sqrt(Math.pow(s1,2)\/n1 - (-1*Math.pow(s2,2)\/n2)));\n\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>\u97e6\u5c14\u5947\u7684 t \u68c0\u9a8c\u7528\u4e8e\u68c0\u9a8c\u4e24\u4e2a\u603b\u4f53\u7684\u5747\u503c\u662f\u5426\u76f8\u7b49\u3002 \u6b64\u7c7b\u68c0\u9a8c\u5e76\u4e0d\u5047\u8bbe\u4e24\u4e2a\u6837\u672c\u5177\u6709\u76f8\u7b49\u7684\u65b9\u5dee\u3002\u5982\u679c\u60a8\u60f3\u505a\u51fa\u6b64\u5047\u8bbe [&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":[],"class_list":["post-747","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized 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