{"id":1311,"date":"2023-07-26T22:25:12","date_gmt":"2023-07-26T22:25:12","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%bd%92%e4%b8%80%e5%8c%96%e6%ae%8b%e5%b7%ae%e8%ae%a1%e7%ae%97%e5%99%a8\/"},"modified":"2023-07-26T22:25:12","modified_gmt":"2023-07-26T22:25:12","slug":"%e5%bd%92%e4%b8%80%e5%8c%96%e6%ae%8b%e5%b7%ae%e8%ae%a1%e7%ae%97%e5%99%a8","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%bd%92%e4%b8%80%e5%8c%96%e6%ae%8b%e5%b7%ae%e8%ae%a1%e7%ae%97%e5%99%a8\/","title":{"rendered":"\u6807\u51c6\u5316\u6b8b\u7559\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>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 {\npadding-left: 30px;\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words_summary {\npadding-left: 70px;\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words_text {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words_text_area {\ndisplay:inline-block;\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;\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_table label, #words_table input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #buttonCalc {\n      border: 1px solid;\n      border-radius: 10px;\n      margin-top: 20px;<\/p>\n<p>      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>\t#words_table {\ncolor: black;\nfont-family: Raleway;\nmax-width: 350px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#summary_table {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 20px;\n}<\/p>\n<p>\t.label_radio {\n\ttext-align: center;\n    }<\/p>\n<p>td, tr, th {\n    border: 1px solid black;\n}\ntable {\n    border-collapse: collapse;\n}\ntd, th {\n    min-width: 50px;\n    height: 21px;\n}\n    .label_radio {\n\ttext-align: center;\n}<\/p>\n<p>#text_area_input {\n\tpadding-left: 35%;\n\tfloat: left;\n}<\/p>\n<p>svg:not(:root) {\n  overflow: visible;\n}<\/p>\n<\/style>\n<div id=\"words\">\n<p style=\"text-align: left\"><b><a href=\"https:\/\/statorials.org\/cn\/\u6807\u51c6\u5316\u6b8b\u7559\u91cf\/\" target=\"_blank\" rel=\"noopener\">\u6807\u51c6\u5316\u6b8b\u5dee<\/a><\/b>\u662f\u6b8b\u5dee\u9664\u4ee5\u5176\u6807\u51c6\u5dee\u3002\u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a<\/p>\n<p style=\"text-align: left\"> <strong>r <sub>i<\/sub> = e <sub>i<\/sub> \/ RSE\u221a <span style=\"border-top: 1px solid black;\">1-h <sub>ii<\/sub><\/span><\/strong><\/p>\n<p style=\"text-align: left\">\u91d1\u5b50\uff1a<\/p>\n<ul>\n<li> e <sub>i<\/sub> : \u7b2c i<sup>\u4e2a<\/sup>\u6b8b\u57fa<\/li>\n<li>RSE\uff1a\u6a21\u578b\u7684\u6b8b\u5dee\u6807\u51c6\u8bef\u5dee<\/li>\n<li>h <sub>ii<\/sub> \uff1a<sup>\u7b2c i \u4e2a<\/sup>\u89c2\u6d4b\u503c\u7684\u4e0a\u5347<\/li>\n<\/ul>\n<p style=\"text-align: left\">\u8be5\u8ba1\u7b97\u5668\u5728\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u4e2d\u67e5\u627e\u6bcf\u4e2a\u89c2\u6d4b\u503c\u7684\u6807\u51c6\u5316\u6b8b\u5dee\u3002<\/p>\n<p style=\"text-align: left\">\u53ea\u9700\u5728\u4e0b\u9762\u7684\u6846\u4e2d\u8f93\u5165\u9884\u6d4b\u53d8\u91cf\u548c\u54cd\u5e94\u53d8\u91cf\u7684\u503c\u5217\u8868\uff0c\u7136\u540e\u5355\u51fb\u201c\u8ba1\u7b97\u201d\u6309\u94ae\uff1a<\/p>\n<\/div>\n<p style=\"text-align: center\"><b>\u9884\u6d4b\u503c\uff1a<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"x\" rows=\"5\" cols=\"40\"> 8, 12, 12, 13, 14, 16, 17, 22, 24, 26, 29, 30<\/textarea><\/div>\n<p style=\"text-align: center\"><b>\u54cd\u5e94\u503c\uff1a<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"y\" rows=\"5\" cols=\"40\"> 41, 42, 39, 37, 35, 39, 45, 46, 39, 49, 55, 57 <\/textarea><\/div>\n<div id=\"words_table\"><input type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"words_table\">\n<p><b>\u7ebf\u6027\u56de\u5f52\u65b9\u7a0b\uff1a<\/b><\/p>\n<\/div>\n<div id=\"words_table\">\n<p> \u0177 = <span id=\"b\">29.6309<\/span> + ( <span id=\"a\">0.7553<\/span> )*x<\/p>\n<\/div>\n<div id=\"words_table\">\n<p><b>\u6807\u51c6\u5316\u6b8b\u7559\u7269\u5217\u8868\uff1a<\/b><\/p>\n<\/div>\n<div id=\"words_table\">\n<p style=\"text-align: left\"> <span id=\"resids_out\">-0.143<br \/> -3.104<br \/> 1,896<br \/> -0.064<br \/> 1.975<br \/> -0.906<br \/> 1.133<br \/> -0.787<\/span><\/p>\n<\/div>\n<div id=\"words_table\">\n<p style=\"text-align: center\"><span id=\"error_msg\"><\/span><\/p>\n<\/div>\n<p><script>\nfunction calc() {<\/p>\n<p>\/\/get input data\nvar x = document.getElementById('x').value.split(',').map(Number);\nvar y = document.getElementById('y').value.split(',').map(Number);<\/p>\n<p>\/\/check that both lists are equal length\nif (x.length - y.length == 0) {\ndocument.getElementById('error_msg').innerHTML = '';<\/p>\n<p>function linearRegression(y,x){\n        var lr = {};\n        var n = y.length;\n        var sum_x = 0;\n        var sum_y = 0;\n        var sum_xy = 0;\n        var sum_xx = 0;\n        var sum_yy = 0;<\/p>\n<p>        for (var i = 0; i < y.length; i++) {\n            sum_x += x[i];\n            sum_y += y[i];\n            sum_xy += (x[i]*y[i]);\n            sum_xx += (x[i]*x[i]);\n            sum_yy += (y[i]*y[i]);\n        } \n\n        lr['slope'] = (n * sum_xy - sum_x * sum_y) \/ (n*sum_xx - sum_x * sum_x);\n        lr['intercept'] = (sum_y - lr.slope * sum_x)\/n;\n        return lr;\n}\n\nvar lr = linearRegression(y, x);\nvar a = lr.slope;\nvar b = lr.intercept;\n\n\/\/calculate residuals\nresiduals = [];\n\nfor (var obs = 0; obs < y.length; obs++) {\nthis_resid = (y[obs] - (b - (-1*a*x[obs]))).toFixed(3);\nresiduals.push(this_resid);\n}\n\n\/\/calculate leverage\nlev_n = x.length;\nlev_mean = math.mean(x);\nlev_ss = 0;\n\n for (var i = 0; i < x.length; i++) {\n   lev_ss += (x[i]-lev_mean)*(x[i]-lev_mean);\n} \n\nleverages = [];\nfor (var j = 0; j < x.length; j++) {\nthis_leverage = 1\/lev_n-(-1*(Math.pow(x[j] -lev_mean, 2)))\/lev_ss;\nleverages.push(this_leverage);\n}\n\n\/\/calculate RSE\nvar xbar = math.mean(x);\nvar ybar = math.mean(y);\n\nlet xbar2_hold = 0\n\tfor (let i = 0; i < x.length; i++) {\n\t\txbar2_hold += Math.pow(x[i], 2);\n\t}\n\nvar xbar2 = xbar2_hold \/ x.length;\n\nlet sxx = 0\n\tfor (let i = 0; i < x.length; i++) {\n\t\tsxx += Math.pow(x[i] - xbar, 2);\n\t}\n\nlet syy = 0\n\tfor (let i = 0; i < y.length; i++) {\n\t\tsyy += Math.pow(y[i] - ybar, 2);\n\t}\n\nlet sxy = 0\n\tfor (let i = 0; i < x.length; i++) {\n\t\tsxy += (x[i] - xbar)*(y[i]-ybar);\n\t}\n\nlet sxx2 = 0\n\tfor (let i = 0; i < x.length; i++) {\n\t\tsxx2 += (x[i] - xbar)*(Math.pow(x[i], 2)-xbar2);\n\t}\n\nlet sx2x2 = 0\n\tfor (let i = 0; i < x.length; i++) {\n\t\tsx2x2 += Math.pow((Math.pow(x[i], 2)-xbar2), 2);\n\t}\n\nlet sx2y = 0\n\tfor (let i = 0; i < x.length; i++) {\n\t\tsx2y += (Math.pow(x[i], 2)-xbar2)*(y[i]-ybar);\n\t}\n\nvar sst = syy;\nvar ssr = (sxy\/sxx)*sxy;\nvar sse = sst-ssr;\n\nvar RSE = Math.sqrt(sse \/ (x.length - 2));\n\n\/\/calculate standardized residuals\nstand_resids = [];\nfor (var k = 0; k < x.length; k++) {\nthis_sr = (residuals[k]\/(RSE*Math.sqrt(1-leverages[k]))).toFixed(4);\nstand_resids.push(this_sr);\n}\n\n\/\/output results\ndocument.getElementById('a').innerHTML = a.toFixed(4);\ndocument.getElementById('b').innerHTML = b.toFixed(4);\ndocument.getElementById('resids_out').innerHTML = stand_resids.toString().split(',').join(\"<br \/>\");\n}<\/p>\n<p>\/\/output error message if both lists are not equal\nelse {\ndocument.getElementById('error_msg').innerHTML = 'The two lists must be of equal length.';\n}<\/p>\n<p>} \/\/end calc function\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6807\u51c6\u5316\u6b8b\u5dee\u662f\u6b8b\u5dee\u9664\u4ee5\u5176\u6807\u51c6\u5dee\u3002\u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a r i = e i \/ RSE\u221a 1-h ii \u91d1\u5b50\uff1a e i  [&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-1311","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u6807\u51c6\u5316\u6b8b\u5dee\u8ba1\u7b97\u5668 - Statorials<\/title>\n<meta name=\"description\" content=\"\u8be5\u8ba1\u7b97\u5668\u67e5\u627e\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u7684\u6807\u51c6\u5316\u6b8b\u5dee\u3002\" \/>\n<meta name=\"robots\" content=\"index, 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