{"id":770,"date":"2023-07-28T19:48:35","date_gmt":"2023-07-28T19:48:35","guid":{"rendered":"https:\/\/statorials.org\/th\/%e0%b9%80%e0%b8%84%e0%b8%a3%e0%b8%b7%e0%b9%88%e0%b8%ad%e0%b8%87%e0%b8%84%e0%b8%b3%e0%b8%99%e0%b8%a7%e0%b8%93%e0%b8%81%e0%b8%b2%e0%b8%a3%e0%b8%97%e0%b8%94%e0%b8%aa%e0%b8%ad%e0%b8%9a%e0%b8%81%e0%b8%b2\/"},"modified":"2023-07-28T19:48:35","modified_gmt":"2023-07-28T19:48:35","slug":"%e0%b9%80%e0%b8%84%e0%b8%a3%e0%b8%b7%e0%b9%88%e0%b8%ad%e0%b8%87%e0%b8%84%e0%b8%b3%e0%b8%99%e0%b8%a7%e0%b8%93%e0%b8%81%e0%b8%b2%e0%b8%a3%e0%b8%97%e0%b8%94%e0%b8%aa%e0%b8%ad%e0%b8%9a%e0%b8%81%e0%b8%b2","status":"publish","type":"post","link":"https:\/\/statorials.org\/th\/%e0%b9%80%e0%b8%84%e0%b8%a3%e0%b8%b7%e0%b9%88%e0%b8%ad%e0%b8%87%e0%b8%84%e0%b8%b3%e0%b8%99%e0%b8%a7%e0%b8%93%e0%b8%81%e0%b8%b2%e0%b8%a3%e0%b8%97%e0%b8%94%e0%b8%aa%e0%b8%ad%e0%b8%9a%e0%b8%81%e0%b8%b2\/","title":{"rendered":"\u0e40\u0e04\u0e23\u0e37\u0e48\u0e2d\u0e07\u0e04\u0e33\u0e19\u0e27\u0e13\u0e01\u0e32\u0e23\u0e17\u0e14\u0e2a\u0e2d\u0e1a\u0e2a\u0e16\u0e32\u0e19\u0e17\u0e35\u0e48\u0e25\u0e07\u0e19\u0e32\u0e21\u0e02\u0e2d\u0e07 wilcoxon"},"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\/th\/\u0e01\u0e32\u0e23\u0e17\u0e14\u0e2a\u0e2d\u0e1a\u0e2d\u0e31\u0e19\u0e14\u0e31\u0e1a\u0e40\u0e04\u0e23\u0e37\u0e48\u0e2d\u0e07\u0e2b\u0e21\u0e32\u0e22\u0e27\u0e34\u0e25\u0e04\u0e2d\u0e01\u0e2a\u0e31\u0e19\/\" target=\"_blank\" rel=\"noopener\">\u0e01\u0e32\u0e23\u0e17\u0e14\u0e2a\u0e2d\u0e1a Wilcoxon Signed-Rank<\/a><\/b> \u0e40\u0e1b\u0e47\u0e19\u0e40\u0e27\u0e2d\u0e23\u0e4c\u0e0a\u0e31\u0e19\u0e17\u0e35\u0e48\u0e44\u0e21\u0e48\u0e21\u0e35\u0e1e\u0e32\u0e23\u0e32\u0e21\u0e34\u0e40\u0e15\u0e2d\u0e23\u0e4c\u0e02\u0e2d\u0e07 <b><a href=\"https:\/\/statorials.org\/th\/\u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e17\u0e35\u0e48\u0e08\u0e31\u0e1a\u0e04\u0e39\u0e48\u0e17\u0e14\u0e2a\u0e2d\u0e1a\/\" target=\"_blank\" rel=\"noopener\">\u0e01\u0e32\u0e23\u0e17\u0e14\u0e2a\u0e2d\u0e1a t \u0e17\u0e35\u0e48\u0e08\u0e31\u0e1a\u0e04\u0e39\u0e48<\/a><\/b> \u0e43\u0e0a\u0e49\u0e40\u0e1e\u0e37\u0e48\u0e2d\u0e17\u0e14\u0e2a\u0e2d\u0e1a\u0e27\u0e48\u0e32\u0e21\u0e35\u0e04\u0e27\u0e32\u0e21\u0e41\u0e15\u0e01\u0e15\u0e48\u0e32\u0e07\u0e17\u0e35\u0e48\u0e21\u0e35\u0e19\u0e31\u0e22\u0e2a\u0e33\u0e04\u0e31\u0e0d\u0e23\u0e30\u0e2b\u0e27\u0e48\u0e32\u0e07\u0e04\u0e48\u0e32\u0e40\u0e09\u0e25\u0e35\u0e48\u0e22\u0e1b\u0e23\u0e30\u0e0a\u0e32\u0e01\u0e23\u0e2a\u0e2d\u0e07\u0e04\u0e48\u0e32\u0e2b\u0e23\u0e37\u0e2d\u0e44\u0e21\u0e48<\/div>\n<div id=\"words_intro\"> \u0e2b\u0e32\u0e01\u0e15\u0e49\u0e2d\u0e07\u0e01\u0e32\u0e23\u0e17\u0e33\u0e01\u0e32\u0e23\u0e17\u0e14\u0e2a\u0e2d\u0e1a\u0e2d\u0e31\u0e19\u0e14\u0e31\u0e1a\u0e41\u0e1a\u0e1a\u0e25\u0e07\u0e19\u0e32\u0e21\u0e02\u0e2d\u0e07 Wilcoxon \u0e40\u0e1e\u0e35\u0e22\u0e07\u0e01\u0e23\u0e2d\u0e01\u0e04\u0e48\u0e32\u0e02\u0e49\u0e2d\u0e21\u0e39\u0e25\u0e2a\u0e33\u0e2b\u0e23\u0e31\u0e1a\u0e2a\u0e2d\u0e07\u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e14\u0e49\u0e32\u0e19\u0e25\u0e48\u0e32\u0e07 \u0e08\u0e32\u0e01\u0e19\u0e31\u0e49\u0e19\u0e04\u0e25\u0e34\u0e01\u0e1b\u0e38\u0e48\u0e21 &#8220;\u0e04\u0e33\u0e19\u0e27\u0e13&#8221;<\/div>\n<div id=\"words_table\">\n<div class=\"text_areas\">\n<p style=\"text-align:center\"> <b>\u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e17\u0e35\u0e48 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>\u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e17\u0e35\u0e48 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>\u0e2a\u0e16\u0e34\u0e15\u0e34\u0e01\u0e32\u0e23\u0e17\u0e14\u0e2a\u0e2d\u0e1a W =<\/b> <span id=\"w\">29.5<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> <b>\u0e08\u0e33\u0e19\u0e27\u0e19\u0e04\u0e39\u0e48\u0e2a\u0e21\u0e01\u0e32\u0e23\u0e17\u0e35\u0e48\u0e44\u0e21\u0e48\u0e43\u0e0a\u0e48\u0e2d\u0e14\u0e35\u0e15 (n) =<\/b> <span id=\"n\">13<\/span><\/p>\n<\/div>\n<div id=\"words\">\n<p> \u0e14\u0e39\u0e15\u0e32\u0e23\u0e32\u0e07\u0e04\u0e48\u0e32\u0e27\u0e34\u0e01\u0e24\u0e15\u0e14\u0e49\u0e32\u0e19\u0e25\u0e48\u0e32\u0e07\u0e40\u0e1e\u0e37\u0e48\u0e2d\u0e15\u0e31\u0e14\u0e2a\u0e34\u0e19\u0e43\u0e08\u0e27\u0e48\u0e32\u0e1c\u0e25\u0e01\u0e32\u0e23\u0e17\u0e14\u0e2a\u0e2d\u0e1a\u0e21\u0e35\u0e19\u0e31\u0e22\u0e2a\u0e33\u0e04\u0e31\u0e0d\u0e17\u0e32\u0e07\u0e2a\u0e16\u0e34\u0e15\u0e34\u0e15\u0e32\u0e21 <i>n<\/i> \u0e41\u0e25\u0e30\u0e23\u0e30\u0e14\u0e31\u0e1a\u0e2d\u0e31\u0e25\u0e1f\u0e48\u0e32\u0e17\u0e35\u0e48\u0e40\u0e25\u0e37\u0e2d\u0e01\u0e2b\u0e23\u0e37\u0e2d\u0e44\u0e21\u0e48<\/p>\n<p> \u0e2b\u0e32\u0e01\u0e2a\u0e16\u0e34\u0e15\u0e34\u0e01\u0e32\u0e23\u0e17\u0e14\u0e2a\u0e2d\u0e1a <i>W<\/i> \u0e19\u0e49\u0e2d\u0e22\u0e01\u0e27\u0e48\u0e32\u0e04\u0e48\u0e32\u0e17\u0e35\u0e48\u0e1e\u0e1a\u0e43\u0e19\u0e15\u0e32\u0e23\u0e32\u0e07\u0e04\u0e48\u0e32\u0e27\u0e34\u0e01\u0e24\u0e15\u0e14\u0e49\u0e32\u0e19\u0e25\u0e48\u0e32\u0e07 \u0e41\u0e2a\u0e14\u0e07\u0e27\u0e48\u0e32\u0e1c\u0e25\u0e01\u0e32\u0e23\u0e17\u0e14\u0e2a\u0e2d\u0e1a\u0e21\u0e35\u0e19\u0e31\u0e22\u0e2a\u0e33\u0e04\u0e31\u0e0d\u0e17\u0e32\u0e07\u0e2a\u0e16\u0e34\u0e15\u0e34 <\/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>\u0e01\u0e32\u0e23\u0e17\u0e14\u0e2a\u0e2d\u0e1a Wilcoxon Signed-Rank \u0e40\u0e1b\u0e47\u0e19\u0e40\u0e27\u0e2d\u0e23\u0e4c\u0e0a\u0e31\u0e19\u0e17\u0e35\u0e48\u0e44\u0e21\u0e48\u0e21\u0e35\u0e1e\u0e32\u0e23\u0e32\u0e21 [&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":[],"class_list":["post-770","post","type-post","status-publish","format-standard","hentry","category-3"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0e40\u0e04\u0e23\u0e37\u0e48\u0e2d\u0e07\u0e04\u0e33\u0e19\u0e27\u0e13\u0e01\u0e32\u0e23\u0e17\u0e14\u0e2a\u0e2d\u0e1a\u0e2d\u0e31\u0e19\u0e14\u0e31\u0e1a Wilcoxon \u0e17\u0e35\u0e48\u0e25\u0e07\u0e19\u0e32\u0e21 - \u0e2a\u0e16\u0e34\u0e15\u0e34<\/title>\n<meta name=\"description\" content=\"\u0e40\u0e04\u0e23\u0e37\u0e48\u0e2d\u0e07\u0e04\u0e34\u0e14\u0e40\u0e25\u0e02\u0e19\u0e35\u0e49\u0e17\u0e33\u0e01\u0e32\u0e23\u0e17\u0e14\u0e2a\u0e2d\u0e1a\u0e2d\u0e31\u0e19\u0e14\u0e31\u0e1a\u0e17\u0e35\u0e48\u0e21\u0e35\u0e25\u0e32\u0e22\u0e40\u0e0b\u0e47\u0e19\u0e02\u0e2d\u0e07 Wilcoxon \u0e42\u0e14\u0e22\u0e2d\u0e34\u0e07\u0e15\u0e32\u0e21\u0e2d\u0e34\u0e19\u0e1e\u0e38\u0e15\u0e17\u0e35\u0e48\u0e1c\u0e39\u0e49\u0e43\u0e0a\u0e49\u0e43\u0e2b\u0e49\u0e44\u0e27\u0e49\" \/>\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\/th\/\u0e40\u0e04\u0e23\u0e37\u0e48\u0e2d\u0e07\u0e04\u0e33\u0e19\u0e27\u0e13\u0e01\u0e32\u0e23\u0e17\u0e14\u0e2a\u0e2d\u0e1a\u0e01\u0e32\/\" \/>\n<meta property=\"og:locale\" content=\"th_TH\" \/>\n<meta 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