{"id":425,"date":"2023-07-29T23:44:02","date_gmt":"2023-07-29T23:44:02","guid":{"rendered":"https:\/\/statorials.org\/my\/kruskal-wallis-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%82%e1%80%8f%e1%80%94%e1%80%ba%e1%80%b8%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba%e1%80%85%e1%80%80%e1%80%ba\/"},"modified":"2023-07-29T23:44:02","modified_gmt":"2023-07-29T23:44:02","slug":"kruskal-wallis-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%82%e1%80%8f%e1%80%94%e1%80%ba%e1%80%b8%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba%e1%80%85%e1%80%80%e1%80%ba","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/kruskal-wallis-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%82%e1%80%8f%e1%80%94%e1%80%ba%e1%80%b8%e1%80%90%e1%80%bd%e1%80%80%e1%80%ba%e1%80%85%e1%80%80%e1%80%ba\/","title":{"rendered":"Kruskal-wallis \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a"},"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;\ntext-align: center;\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;\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>    #button:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\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.table_span_a, .table_span_b, .table_span_c, .table_span_d, .table_span_e {\n    width: 100%;\n    display: block;\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>#summary_table {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 20px;\n}<\/p>\n<p>    .label_radio {\n\ttext-align: center;\n}\n<\/style>\n<div id=\"words\">\n<p style=\"text-align: left\">\u1024 Kruskal-Wallis \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\u101e\u100a\u103a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1014\u1019\u1030\u1014\u102c\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038 \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1024\u101e\u100a\u103a\u1019\u103e\u102c \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1019\u1031\u102c\u1004\u103a\u1038 ANOVA \u104f \u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1017\u102c\u1038\u101b\u103e\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/p>\n<p style=\"text-align: left\"> \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1006\u1032\u101c\u103a\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1004\u102b\u1038\u1001\u102f\u1021\u1011\u102d \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u1005\u103d\u102c\u1011\u100a\u1037\u103a\u1015\u102b\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a &#8220; \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a&#8221;  \u1001\u101c\u102f\u1010\u103a\u1000\u102d\u102f \u1014\u103e\u102d\u1015\u103a\u1015\u102b\u104b<\/p>\n<\/div>\n<p style=\"text-align: center\"> <b>\u1014\u1019\u1030\u1014\u102c \u1041<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"a\" rows=\"3\" cols=\"40\"> \u1041\u1041\u104a \u1041\u1042\u104a \u1041\u1042\u104a \u1041\u1044\u104a \u1041\u1046\u104a \u1041\u1049\u104a \u1041\u1049\u104a \u1042\u1040\u104a \u1042\u1041\u104a \u1042\u1041\u104a<\/textarea><\/div>\n<p style=\"text-align: center\"> <b>\u1014\u1019\u1030\u1014\u102c \u1042<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"b\" rows=\"3\" cols=\"40\"> \u1041\u1046\u104a \u1041\u1046\u104a \u1041\u1046\u104a \u1041\u1047\u104a \u1041\u1048\u104a \u1041\u1049\u104a \u1042\u1042\u104a \u1042\u1044\u104a \u1042\u1045\u104a \u1043\u1042\u104a<\/textarea><\/div>\n<p style=\"text-align: center\"> <b>\u1014\u1019\u1030\u1014\u102c \u1043<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"c\" rows=\"3\" cols=\"40\"> \u1041\u1048\u104a \u1041\u1048\u104a \u1041\u1049\u104a \u1042\u1041\u104a \u1042\u1041\u104a \u1042\u1042\u104a \u1042\u1042\u104a \u1042\u1043\u104a \u1042\u1044\u104a \u1042\u1046\u104a<\/textarea><\/div>\n<p style=\"text-align: center\"> <b>\u1014\u1019\u1030\u1014\u102c \u1044<\/b> <\/p>\n<div id=\"words_table\"><textarea id=\"d\" rows=\"3\" cols=\"40\"><\/textarea><\/div>\n<p style=\"text-align: center\"> <b>\u1014\u1019\u1030\u1014\u102c \u1045<\/b> <\/p>\n<div id=\"words_table\"><textarea id=\"e\" rows=\"3\" cols=\"40\"><\/textarea><\/div>\n<div id=\"words_table\"><input type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div>\n<p> H-\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038- <span id=\"H\">6.59806<\/span><\/p>\n<\/div>\n<div>\n<p> p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038- <span id=\"p\">0.03692<\/span><\/p>\n<\/div>\n<p><script><\/p>\n<p>\/\/create function that performs calculations\nfunction calc() {<\/p>\n<p>\/\/get raw data for each group\nvar group_a  = document.getElementById('a').value.split(',').map(Number);\nvar group_b  = document.getElementById('b').value.split(',').map(Number);\nvar group_c  = document.getElementById('c').value.split(',').map(Number);\nvar group_d  = document.getElementById('d').value.split(',').map(Number);\nvar group_e  = document.getElementById('e').value.split(',').map(Number);<\/p>\n<p>\t\/\/define addition function\n\t\tfunction add(a, b) {\n\t\t    return a + b;\n\t\t}\t<\/p>\n<p>\t    \/\/define function to perform kruskal-wallis test\n    function kruskal() {<\/p>\n<p>\tvar ngroups = arguments.length,\n\t\tgroupRankSums = new Array( ngroups ),\n\t\tgroupsIndicators = [],\n\t\ti, j,\n\t\targ,\n\t\tn = [], N,\n\t\tx = [],\n\t\tranks, ties, tieSumTerm,\n\t\tkey, s,\n\t\tstat_placeholder, stat, param, pval;<\/p>\n<p>\tif ( ngroups < 2 ) {\n\t\tthrow new Error( 'kruskal()::invalid number of input arguments. Must provide at least two array-like arguments. Value: `' + arg + '`.' );\n\t}\n\n\tfor ( i = 0; i < ngroups; i++ ) {\n\t\targ = arguments[ i ];\n\t\tn[ i ] = arg.length;\n\t\tgroupRankSums[ i ] = 0;\n\n\t\tfor ( j = 0; j < n[ i ]; j++ ) {\n\t\t\tgroupsIndicators.push( i );\n\t\t\tx.push( arg[ j ] );\n\t\t}\n\t}\n\n\tN = x.length;\n\tvar sorted = x.slice().sort(function(a,b){return a-b});\n\tvar reversed = sorted.slice(0).reverse();\n\tranks = x.slice().map(function(v){ return ((sorted.indexOf(v) + 1) + (reversed.length - reversed.indexOf(v))) \/ 2;});\n\t\n\t\/\/ calculate # ties for each value &#038; rank sums per group\n\tties = {};\n\n\tfor ( i = 0; i < N; i++ ) {\n\t\tgroupRankSums[ groupsIndicators[ i ] ] += ranks[ i ];\n\t\tif ( x[ i ] in ties ) {\n\t\t\tties[ x[ i ] ] += 1;\n\t\t} else {\n\t\t\tties[ x[ i ] ] = 1;\n\t\t}\n\t}\n\n\t\/\/ calculate test statistic using short-cut formula\n\trank_squares = groupRankSums.map(function(x) { return Math.pow(x, 2); });\n\trank_squares_sum = (rank_squares.map(function(x, i) { return x \/ n[i]; })).reduce(add, 0);\n\tstat = (12\/(N*(N+1))) * rank_squares_sum - 3*(N+1);\n\n\tparam = ngroups - 1;\n\tpval = 1 - jStat.chisquare.cdf(stat, param);\n\n\treturn {\n\t\t'H': stat,\n\t\t'df': param,\n\t\t'pValue': pval,\n\t};\n\n} \/\/ end FUNCTION kruskal()\n\n\tif (group_a.length > 1) { var flag_group_a = 1; } else { var flag_group_a = 0;};\n\tif (group_b.length > 1) { var flag_group_b = 1; } else { var flag_group_b = 0;};\n\tif (group_c.length > 1) { var flag_group_c = 1; } else { var flag_group_c = 0;};\n\tif (group_d.length > 1) { var flag_group_d = 1; } else { var flag_group_d = 0;};\n\tif (group_e.length > 1) { var flag_group_e = 1; } else { var flag_group_e = 0;};<\/p>\n<p>\tvar total_treatments = [flag_group_a, flag_group_b, flag_group_c, flag_group_d, flag_group_e].reduce(add, 0);<\/p>\n<p>\tvar out;<\/p>\n<p>\tif (total_treatments == 2) {\n\t\tout = kruskal(group_a, group_b);\n\t} else if (total_treatments == 3) {\n\t\tout = kruskal(group_a, group_b, group_c);\n\t} else if (total_treatments == 4) {\n\t\tout = kruskal(group_a, group_b, group_c, group_d);\n\t} else if (total_treatments == 5){\n\t\tout = kruskal(group_a, group_b, group_c, group_d, group_e);\n\t}<\/p>\n<p>var H = out[Object.keys(out)[0]];\nvar p = out[Object.keys(out)[2]];<\/p>\n<p>\/\/--------------OUTPUT RESULTS-----------\/\/<\/p>\n<p>\tdocument.getElementById('H').innerHTML = H.toFixed(5);\n\tdocument.getElementById('p').innerHTML = p.toFixed(5);\n}<\/p>\n<p><\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1024 Kruskal-Wallis \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\u101e\u100a\u103a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1014\u1019\u1030\u1014\u102c\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038 \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1024\u101e\u100a\u103a\u1019\u103e\u102c \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1019\u1031\u102c\u1004\u103a\u1038 ANOVA \u104f \u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1017\u102c\u1038\u101b\u103e\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1006\u1032\u101c\u103a\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1014\u1019\u1030\u1014\u102c\u1004\u102b\u1038\u1001\u102f\u1021\u1011\u102d \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u1005\u103d\u102c\u1011\u100a\u1037\u103a\u1015\u102b\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a &#8220; \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a&#8221; \u1001\u101c\u102f\u1010\u103a\u1000\u102d\u102f \u1014\u103e\u102d\u1015\u103a\u1015\u102b\u104b \u1014\u1019\u1030\u1014\u102c \u1041 \u1041\u1041\u104a \u1041\u1042\u104a \u1041\u1042\u104a \u1041\u1044\u104a \u1041\u1046\u104a \u1041\u1049\u104a \u1041\u1049\u104a \u1042\u1040\u104a \u1042\u1041\u104a \u1042\u1041\u104a \u1014\u1019\u1030\u1014\u102c \u1042 \u1041\u1046\u104a \u1041\u1046\u104a \u1041\u1046\u104a \u1041\u1047\u104a \u1041\u1048\u104a \u1041\u1049\u104a \u1042\u1042\u104a \u1042\u1044\u104a \u1042\u1045\u104a \u1043\u1042\u104a \u1014\u1019\u1030\u1014\u102c \u1043 \u1041\u1048\u104a \u1041\u1048\u104a \u1041\u1049\u104a \u1042\u1041\u104a \u1042\u1041\u104a [&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>Kruskal-Wallis \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a - Statorials<\/title>\n<meta name=\"description\" content=\"\u1024 Kruskal-Wallis \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\u101e\u100a\u103a \u1021\u1019\u103e\u102e\u1021\u1001\u102d\u102f\u1000\u1004\u103a\u1038\u101e\u1031\u102c \u1014\u1019\u1030\u1014\u102c\u101e\u102f\u1036\u1038\u1019\u103b\u102d\u102f\u1038 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a \u1011\u102d\u102f\u1037\u1011\u1000\u103a\u1015\u102d\u102f\u101e\u1031\u102c \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u102c\u1038 \u1014\u103e\u102d\u102f\u1004\u103a\u1038\u101a\u103e\u1009\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1024\u101e\u100a\u103a\u1019\u103e\u102c \u1010\u1005\u103a\u101c\u1019\u103a\u1038\u1019\u1031\u102c\u1004\u103a\u1038 ANOVA \u104f \u1021\u1010\u102d\u102f\u1004\u103a\u1038\u1021\u1010\u102c\u1019\u101f\u102f\u1010\u103a\u101e\u1031\u102c \u1017\u102c\u1038\u101b\u103e\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b\" \/>\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\/my\/kruskal-wallis-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kruskal-Wallis \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a - Statorials\" \/>\n<meta property=\"og:description\" content=\"\u1024 Kruskal-Wallis 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