{"id":767,"date":"2023-07-28T19:48:35","date_gmt":"2023-07-28T19:48:35","guid":{"rendered":"https:\/\/statorials.org\/uk\/%d1%82%d0%b5%d1%81%d1%82%d0%be%d0%b2%d0%b8%d0%b8-%d0%ba%d0%b0%d0%bb%d1%8c%d0%ba%d1%83%d0%bb%d1%8f%d1%82%d0%be%d1%80-%d0%b2%d1%81%d1%82%d0%b0%d0%bd%d0%be%d0%b2%d0%bb%d0%b5%d0%bd%d0%bd%d1%8f-%d0%b7\/"},"modified":"2023-07-28T19:48:35","modified_gmt":"2023-07-28T19:48:35","slug":"%d1%82%d0%b5%d1%81%d1%82%d0%be%d0%b2%d0%b8%d0%b8-%d0%ba%d0%b0%d0%bb%d1%8c%d0%ba%d1%83%d0%bb%d1%8f%d1%82%d0%be%d1%80-%d0%b2%d1%81%d1%82%d0%b0%d0%bd%d0%be%d0%b2%d0%bb%d0%b5%d0%bd%d0%bd%d1%8f-%d0%b7","status":"publish","type":"post","link":"https:\/\/statorials.org\/uk\/%d1%82%d0%b5%d1%81%d1%82%d0%be%d0%b2%d0%b8%d0%b8-%d0%ba%d0%b0%d0%bb%d1%8c%d0%ba%d1%83%d0%bb%d1%8f%d1%82%d0%be%d1%80-%d0%b2%d1%81%d1%82%d0%b0%d0%bd%d0%be%d0%b2%d0%bb%d0%b5%d0%bd%d0%bd%d1%8f-%d0%b7\/","title":{"rendered":"\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0442\u0435\u0441\u0442\u0443 \u0437 \u043f\u0456\u0434\u043f\u0438\u0441\u043e\u043c \u0432\u0456\u043b\u043a\u043e\u043a\u0441\u043e\u043d\u0430"},"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><a href=\"https:\/\/statorials.org\/uk\/\u0440\u0430\u043d\u0433\u043e\u0432\u0438\u0438-\u0442\u0435\u0441\u0442-\u0437\u043d\u0430\u043a\u0430-\u0432\u0456\u043b\u043a\u043e\u043a\u0441\u043e\u043d\u0430\/\" target=\"_blank\" rel=\"noopener\">\u0422\u0435\u0441\u0442 Wilcoxon Signed-Rank<\/a><\/b> \u0454 \u043d\u0435\u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u043e\u044e \u0432\u0435\u0440\u0441\u0456\u0454\u044e <b><a href=\"https:\/\/statorials.org\/uk\/\u043f\u0430\u0440\u043d\u0456-\u043f\u0440\u043e\u0431\u0438-t-\u0442\u0435\u0441\u0442\/\" target=\"_blank\" rel=\"noopener\">\u043f\u0430\u0440\u043d\u043e\u0433\u043e t-\u043a\u0440\u0438\u0442\u0435\u0440\u0456\u044e<\/a><\/b> . \u0412\u0456\u043d \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f, \u0449\u043e\u0431 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u0438\u0442\u0438, \u0447\u0438 \u0456\u0441\u043d\u0443\u0454 \u0437\u043d\u0430\u0447\u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044f \u043c\u0456\u0436 \u0434\u0432\u043e\u043c\u0430 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u043c\u0438 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u044f\u043c\u0438.<\/div>\n<div id=\"words_intro\"> \u0429\u043e\u0431 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u0442\u0435\u0441\u0442 Wilcoxon signed rank, \u043f\u0440\u043e\u0441\u0442\u043e \u0437\u0430\u043f\u043e\u0432\u043d\u0456\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u0430\u043d\u0438\u0445 \u0434\u043b\u044f \u0434\u0432\u043e\u0445 \u0437\u0440\u0430\u0437\u043a\u0456\u0432 \u043d\u0438\u0436\u0447\u0435, \u0430 \u043f\u043e\u0442\u0456\u043c \u043d\u0430\u0442\u0438\u0441\u043d\u0456\u0442\u044c \u043a\u043d\u043e\u043f\u043a\u0443 \u00ab\u041e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438\u00bb.<\/div>\n<div id=\"words_table\">\n<div class=\"text_areas\">\n<p style=\"text-align:center\"> <b>\u0417\u0440\u0430\u0437\u043e\u043a 1<\/b><\/p>\n<p><textarea id=\"rawData1\" rows=\"5\" cols=\"40\"> 14, 17, 12, 15, 15, 9, 12, 13, 13, 15, 19, 17, 14, 14, 16<\/textarea><\/p>\n<\/div>\n<div class=\"text_areas\">\n<p style=\"text-align:center\"> <b>\u0417\u0440\u0430\u0437\u043e\u043a 2<\/b><\/p>\n<p><textarea id=\"rawData2\" rows=\"5\" cols=\"40\"> 15, 17, 15, 15, 17, 14, 9, 14, 11, 16, 18, 20, 20, 10, 17 <\/textarea><\/p>\n<\/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>\u0421\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 \u0442\u0435\u0441\u0442\u0443 W =<\/b> <span id=\"w\">29,5<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>\u041a\u0456\u043b\u044c\u043a\u0456\u0441\u0442\u044c \u043f\u0430\u0440 \u043d\u0435 ex aequo (n) =<\/b> <span id=\"n\">13<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> \u0417\u0432\u0435\u0440\u043d\u0456\u0442\u044c\u0441\u044f \u0434\u043e \u0442\u0430\u0431\u043b\u0438\u0446\u0456 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c \u043d\u0438\u0436\u0447\u0435, \u0449\u043e\u0431 \u0432\u0438\u0440\u0456\u0448\u0438\u0442\u0438, \u0447\u0438 \u0454 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0442\u0435\u0441\u0442\u0443 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u043e \u0437\u043d\u0430\u0447\u0443\u0449\u0438\u043c \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 <i>n<\/i> \u0456 \u0432\u0438\u0431\u0440\u0430\u043d\u043e\u0433\u043e \u0440\u0456\u0432\u043d\u044f \u0430\u043b\u044c\u0444\u0430.<\/p>\n<p> \u042f\u043a\u0449\u043e \u0442\u0435\u0441\u0442\u043e\u0432\u0430 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0430 <i>W<\/i> \u043c\u0435\u043d\u0448\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f, \u0437\u043d\u0430\u0439\u0434\u0435\u043d\u043e\u0433\u043e \u0432 \u0442\u0430\u0431\u043b\u0438\u0446\u0456 \u043a\u0440\u0438\u0442\u0438\u0447\u043d\u0438\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u044c \u043d\u0438\u0436\u0447\u0435, \u0442\u043e \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0442\u0435\u0441\u0442\u0443 \u0454 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u043e \u0437\u043d\u0430\u0447\u0443\u0449\u0438\u043c. <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/wilcox5.png\" srcset=\"\" sizes=\"\"><\/p>\n<\/div>\n<p><script><\/p>\n<p>function calc() {\n\/\/get raw data\nvar raw1 = document.getElementById('rawData1').value.split(',').map(Number);\nvar raw2 = document.getElementById('rawData2').value.split(',').map(Number);<\/p>\n<p>\/\/calculate raw paired differences\nvar diff = [];\nfor (var i = 0; i < raw1.length; i++) {\n            if (raw1[i]-raw2[i] != 0) {\n            diff.push(raw1[i]-raw2[i]);\n            }\n        } \n\n\/\/calculate absolute paired differences\nvar diff_abs = [];\nfor (var i = 0; i < raw1.length; i++) {\n            if (raw1[i]-raw2[i] != 0) {\n            diff_abs.push(Math.abs(raw1[i]-raw2[i]));\n            }\n        } \n\n\/\/rank absolute paired differences\nvar sorted = diff_abs.slice().sort(function(a,b){return a-b})\n    var reversed = sorted.slice(0).reverse();\n    var frac_rank = diff_abs.slice().map(function(n) { return ( (sorted.indexOf(n) + 1) + (reversed.length - reversed.indexOf(n)) ) \/ 2 });\n\n\/\/create array of positive ranks\nvar positive_ranks = [];\nfor (var i = 0; i < diff.length; i++) {\n            if (diff[i] > 0) {\n            positive_ranks.push(frac_rank[i]);\n            }\n} <\/p>\n<p>\/\/create array of negative ranks\nvar negative_ranks = [];\nfor (var i = 0; i < diff.length; i++) {\n            if (diff[i] < 0) {\n            negative_ranks.push(frac_rank[i]);\n            }\n} \n\n\/\/find sum of positive and negative ranks\nvar positive_sum = Math.abs(math.sum(positive_ranks));\nvar negative_sum = Math.abs(math.sum(negative_ranks));\nvar w = Math.min(positive_sum, negative_sum);\nvar n = diff.length;\n\n\/\/output results\ndocument.getElementById('w').innerHTML = w;\ndocument.getElementById('n').innerHTML = n;\n\n}\n\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0422\u0435\u0441\u0442 Wilcoxon Signed-Rank \u0454 \u043d\u0435\u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u043e\u044e \u0432\u0435\u0440\u0441\u0456\u0454\u044e \u043f\u0430\u0440\u043d\u043e\u0433\u043e t-\u043a\u0440\u0438\u0442\u0435\u0440\u0456\u044e . \u0412\u0456\u043d \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0454\u0442\u044c\u0441\u044f, \u0449\u043e\u0431 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u0438\u0442\u0438, \u0447\u0438 \u0456\u0441\u043d\u0443\u0454 \u0437\u043d\u0430\u0447\u043d\u0430 \u0440\u0456\u0437\u043d\u0438\u0446\u044f \u043c\u0456\u0436 \u0434\u0432\u043e\u043c\u0430 \u0441\u0435\u0440\u0435\u0434\u043d\u0456\u043c\u0438 \u0441\u0443\u043a\u0443\u043f\u043d\u043e\u0441\u0442\u044f\u043c\u0438. \u0429\u043e\u0431 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 \u0442\u0435\u0441\u0442 Wilcoxon signed rank, \u043f\u0440\u043e\u0441\u0442\u043e \u0437\u0430\u043f\u043e\u0432\u043d\u0456\u0442\u044c \u0437\u043d\u0430\u0447\u0435\u043d\u043d\u044f \u0434\u0430\u043d\u0438\u0445 \u0434\u043b\u044f \u0434\u0432\u043e\u0445 \u0437\u0440\u0430\u0437\u043a\u0456\u0432 \u043d\u0438\u0436\u0447\u0435, \u0430 \u043f\u043e\u0442\u0456\u043c \u043d\u0430\u0442\u0438\u0441\u043d\u0456\u0442\u044c \u043a\u043d\u043e\u043f\u043a\u0443 \u00ab\u041e\u0431\u0447\u0438\u0441\u043b\u0438\u0442\u0438\u00bb. \u0417\u0440\u0430\u0437\u043e\u043a 1 14, 17, 12, 15, 15, 9, 12, 13, 13, 15, 19, 17, 14, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u041a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0442\u0435\u0441\u0442\u0443 Wilcoxon Signed Rank \u2013 \u0421\u0442\u0430\u0442\u043e\u043b\u043e\u0433\u0456\u044f<\/title>\n<meta name=\"description\" content=\"\u0426\u0435\u0439 \u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440 \u0432\u0438\u043a\u043e\u043d\u0443\u0454 \u043f\u0435\u0440\u0435\u0432\u0456\u0440\u043a\u0443 \u0437\u043d\u0430\u043a\u043e\u0432\u043e\u0433\u043e \u0440\u0430\u043d\u0433\u0443 \u0412\u0456\u043b\u043a\u043e\u043a\u0441\u043e\u043d\u0430 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 \u0434\u0430\u043d\u0438\u0445, \u043d\u0430\u0434\u0430\u043d\u0438\u0445 \u043a\u043e\u0440\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0435\u043c.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/uk\/\u0442\u0435\u0441\u0442\u043e\u0432\u0438\u0438-\u043a\u0430\u043b\u044c\u043a\u0443\u043b\u044f\u0442\u043e\u0440-\u0432\u0441\u0442\u0430\u043d\u043e\u0432\u043b\u0435\u043d\u043d\u044f-\u0437\/\" \/>\n<meta property=\"og:locale\" content=\"uk_UA\" 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