{"id":421,"date":"2023-07-30T00:43:51","date_gmt":"2023-07-30T00:43:51","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%b4%e0%b8%94%e0%b9%80%e0%b8%a5%e0%b8%82%e0%b8%94%e0%b8%b2%e0%b9%82%e0%b8%99%e0%b8%a7%e0%b8%b2%e0%b8%97%e0%b8%b2%e0%b8%87\/"},"modified":"2023-07-30T00:43:51","modified_gmt":"2023-07-30T00:43:51","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%b4%e0%b8%94%e0%b9%80%e0%b8%a5%e0%b8%82%e0%b8%94%e0%b8%b2%e0%b9%82%e0%b8%99%e0%b8%a7%e0%b8%b2%e0%b8%97%e0%b8%b2%e0%b8%87","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%b4%e0%b8%94%e0%b9%80%e0%b8%a5%e0%b8%82%e0%b8%94%e0%b8%b2%e0%b9%82%e0%b8%99%e0%b8%a7%e0%b8%b2%e0%b8%97%e0%b8%b2%e0%b8%87\/","title":{"rendered":"\u0e40\u0e04\u0e23\u0e37\u0e48\u0e2d\u0e07\u0e04\u0e34\u0e14\u0e40\u0e25\u0e02 anova \u0e41\u0e1a\u0e1a\u0e17\u0e32\u0e07\u0e40\u0e14\u0e35\u0e22\u0e27"},"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;\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>#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, 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;\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>\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\">\u0e40\u0e04\u0e23\u0e37\u0e48\u0e2d\u0e07\u0e04\u0e33\u0e19\u0e27\u0e13 <a href=\"https:\/\/statorials.org\/th\/\u0e2d\u0e42\u0e19\u0e27\u0e32\u0e17\u0e32\u0e07\u0e40\u0e14\u0e35\u0e22\u0e27\/\" target=\"_blank\" rel=\"noopener\">\u0e04\u0e27\u0e32\u0e21\u0e41\u0e1b\u0e23\u0e1b\u0e23\u0e27\u0e19\u0e41\u0e1a\u0e1a\u0e17\u0e32\u0e07\u0e40\u0e14\u0e35\u0e22\u0e27<\/a> \u0e19\u0e35\u0e49\u0e40\u0e1b\u0e23\u0e35\u0e22\u0e1a\u0e40\u0e17\u0e35\u0e22\u0e1a\u0e04\u0e48\u0e32\u0e40\u0e09\u0e25\u0e35\u0e48\u0e22\u0e02\u0e2d\u0e07\u0e01\u0e25\u0e38\u0e48\u0e21\u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e2d\u0e34\u0e2a\u0e23\u0e30\u0e15\u0e31\u0e49\u0e07\u0e41\u0e15\u0e48 3 \u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e02\u0e36\u0e49\u0e19\u0e44\u0e1b<\/p>\n<p style=\"text-align: left\"> \u0e40\u0e1e\u0e35\u0e22\u0e07\u0e1b\u0e49\u0e2d\u0e19\u0e04\u0e48\u0e32\u0e2a\u0e39\u0e07\u0e2a\u0e38\u0e14\u0e2b\u0e49\u0e32\u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e43\u0e19\u0e40\u0e0b\u0e25\u0e25\u0e4c\u0e14\u0e49\u0e32\u0e19\u0e25\u0e48\u0e32\u0e07 \u0e08\u0e32\u0e01\u0e19\u0e31\u0e49\u0e19\u0e01\u0e14\u0e1b\u0e38\u0e48\u0e21 &#8220;\u0e04\u0e33\u0e19\u0e27\u0e13&#8221;<\/p>\n<\/div>\n<p style=\"text-align: center\"> <b>\u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e17\u0e35\u0e48 1<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"a\" rows=\"3\" cols=\"40\"> 11, 12, 12, 14, 16, 19, 19, 20, 21, 21<\/textarea><\/div>\n<p style=\"text-align: center\"> <b>\u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e17\u0e35\u0e48 2<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"b\" rows=\"3\" cols=\"40\"> 16, 16, 16, 17, 18, 19, 22, 24, 25, 32<\/textarea><\/div>\n<p style=\"text-align: center\"> <b>\u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e17\u0e35\u0e48 3<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"c\" rows=\"3\" cols=\"40\"> 18, 18, 19, 21, 21, 22, 22, 23, 24, 26<\/textarea><\/div>\n<p style=\"text-align: center\"> <b>\u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e17\u0e35\u0e48 4<\/b> <\/p>\n<div id=\"words_table\"><textarea id=\"d\" rows=\"3\" cols=\"40\"><\/textarea><\/div>\n<p style=\"text-align: center\"> <b>\u0e15\u0e31\u0e27\u0e2d\u0e22\u0e48\u0e32\u0e07\u0e17\u0e35\u0e48 5<\/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 id=\"words_table\">\n<table>\n<tbody>\n<tr>\n<th style=\"background-color: #bee3ff\"> <b>\u0e41\u0e2b\u0e25\u0e48\u0e07\u0e17\u0e35\u0e48\u0e21\u0e32<\/b><\/th>\n<th style=\"background-color: #bee3ff\"> <b>\u0e40\u0e2d\u0e2a\u0e40\u0e2d\u0e2a<\/b><\/th>\n<th style=\"background-color: #bee3ff\"> <b>df<\/b><\/th>\n<th style=\"background-color: #bee3ff\"> <b>\u0e19\u0e32\u0e07\u0e2a\u0e32\u0e27.<\/b><\/th>\n<th style=\"background-color: #bee3ff\"> <b>\u0e40\u0e2d\u0e1f<\/b><\/th>\n<th style=\"background-color: #bee3ff\"> <b>\u0e1b.<\/b><\/th>\n<\/tr>\n<tr>\n<td> \u0e01\u0e32\u0e23\u0e23\u0e31\u0e01\u0e29\u0e32<\/td>\n<td> <span id=\"ss_treatment\">136.1<\/span><\/td>\n<td> <span id=\"df_treatment\">2<\/span><\/td>\n<td> <span id=\"ms_treatment\">68.0<\/span><\/td>\n<td> <span id=\"f\">4,069<\/span><\/td>\n<td> <span id=\"p\">0.02853<\/span><\/td>\n<\/tr>\n<tr>\n<td> \u0e02\u0e49\u0e2d\u0e1c\u0e34\u0e14\u0e1e\u0e25\u0e32\u0e14<\/td>\n<td> <span id=\"ss_residual\">451.4<\/span><\/td>\n<td> <span id=\"df_residual\">27<\/span><\/td>\n<td> <span id=\"ms_residual\">16.7<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td> \u0e17\u0e31\u0e49\u0e07\u0e2b\u0e21\u0e14<\/td>\n<td> <span id=\"ss_total\">587.5<\/span><\/td>\n<td> <span id=\"df_total\">29<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p><script>\nvar div_table = document.getElementById('words_table');<\/p>\n<p>function calc() {\n\t\/\/define addition function\n\t\tfunction add(a, b) {\n\t\t    return a + b;\n\t\t}<\/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>\/\/verify they exist\nif (group_a.length < 2){ group_a = null};\nif (group_b.length < 2){ group_b = null};\nif (group_c.length < 2){ group_c = null};\nif (group_d.length < 2){ group_d = null};\nif (group_e.length < 2){ group_e = null};\n\n\/\/get summary stats of each group\n\tif (group_a != null) { var mean_group_a = math.mean(group_a); };\n\tif (group_b != null) { var mean_group_b = math.mean(group_b); };\n\tif (group_c != null) { var mean_group_c = math.mean(group_c); };\n\tif (group_d != null) { var mean_group_d = math.mean(group_d); };\n\tif (group_e != null) { var mean_group_e = math.mean(group_e); };\n\nvar all_groups_holder = group_a.concat(group_b, group_c, group_d, group_e);\nvar all_groups = all_groups_holder.filter(function (el) {\n  return el != null;\n});\nvar mean_all_groups = math.mean(all_groups);\n\tvar count_all_groups = all_groups.length;\n\n\tif (group_a != null) { var mean_group_a_diff = mean_group_a - mean_all_groups; } else { var mean_group_a_diff = 0;};\n\tif (group_b != null) { var mean_group_b_diff = mean_group_b - mean_all_groups; } else { var mean_group_b_diff = 0;};\n\tif (group_c != null) { var mean_group_c_diff = mean_group_c - mean_all_groups; } else { var mean_group_c_diff = 0;};\n\tif (group_d != null) { var mean_group_d_diff = mean_group_d - mean_all_groups; } else { var mean_group_d_diff = 0;};\n\tif (group_e != null) { var mean_group_e_diff = mean_group_e - mean_all_groups; } else { var mean_group_e_diff = 0;};\n\t\n\tif (group_a != null) { var count_group_a = group_a.length; } else { var count_group_a = 0;};\n\tif (group_b != null) { var count_group_b = group_b.length; } else { var count_group_b = 0;};\n\tif (group_c != null) { var count_group_c = group_c.length; } else { var count_group_c = 0;};\n\tif (group_d != null) { var count_group_d = group_d.length; } else { var count_group_d = 0;};\n\tif (group_e != null) { var count_group_e = group_e.length; } else { var count_group_e = 0;};\n\t\n\tif (group_a != null) { var flag_group_a = 1; } else { var flag_group_a = 0;};\n\tif (group_b != null) { var flag_group_b = 1; } else { var flag_group_b = 0;};\n\tif (group_c != null) { var flag_group_c = 1; } else { var flag_group_c = 0;};\n\tif (group_d != null) { var flag_group_d = 1; } else { var flag_group_d = 0;};\n\tif (group_e != null) { var flag_group_e = 1; } else { var flag_group_e = 0;};\n\t\n\tvar total_treatments = [flag_group_a, flag_group_b, flag_group_c, flag_group_d, flag_group_e].reduce(add, 0);\n\n\t\/\/find sum of squares total, treatment, and residual\n\tvar ss_total = (all_groups.map(function(x) { return Math.pow(x-mean_all_groups, 2); })).reduce(add, 0);\n\t\t\n\tvar ss_treatment = Math.pow(mean_group_a_diff, 2)*(count_group_a) + Math.pow(mean_group_b_diff, 2)*(count_group_b) + Math.pow(mean_group_c_diff, 2)*(count_group_c) + Math.pow(mean_group_d_diff, 2)*(count_group_d) + Math.pow(mean_group_e_diff, 2)*(count_group_e);\n\t\n\tvar ss_residual = ss_total - ss_treatment;\n\t\/\/find degrees of freedom\n\tdf_total = count_all_groups - 1;\n\tdf_treatment = total_treatments - 1;\n\tdf_residual = df_total - df_treatment;\n\t\n\t\/\/find mean sum of squares\n\tvar ms_treatment = ss_treatment \/ df_treatment;\n\tvar ms_residual = ss_residual \/ df_residual;\n\t\n\t\/\/find f value and p value\n        var f = ms_treatment \/ ms_residual;\n        var p = 1 - jStat.centralF.cdf(f, df_treatment, df_residual);\n        \n\/\/--------------OUTPUT RESULTS-----------\/\/\n\tdocument.getElementById('ss_treatment').innerHTML = ss_treatment.toFixed(1);\n\tdocument.getElementById('ss_residual').innerHTML = ss_residual.toFixed(1);\n\tdocument.getElementById('ss_total').innerHTML = ss_total.toFixed(1);\n\t\n\tdocument.getElementById('df_treatment').innerHTML = df_treatment.toFixed(0);\n\tdocument.getElementById('df_residual').innerHTML = df_residual.toFixed(0);\n\tdocument.getElementById('df_total').innerHTML = df_total.toFixed(0);\n\t\n\tdocument.getElementById('ms_treatment').innerHTML = ms_treatment.toFixed(1);\n\tdocument.getElementById('ms_residual').innerHTML = ms_residual.toFixed(1);\n\t\n\tdocument.getElementById('f').innerHTML = f.toFixed(3);\n\tdocument.getElementById('p').innerHTML = p.toFixed(5);\n}\n\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0e40\u0e04\u0e23\u0e37\u0e48\u0e2d\u0e07\u0e04\u0e33\u0e19\u0e27\u0e13 \u0e04\u0e27\u0e32\u0e21\u0e41\u0e1b\u0e23\u0e1b\u0e23\u0e27\u0e19\u0e41\u0e1a\u0e1a\u0e17\u0e32\u0e07\u0e40\u0e14\u0e35\u0e22\u0e27 \u0e19\u0e35\u0e49\u0e40\u0e1b\u0e23\u0e35\u0e22\u0e1a\u0e40\u0e17\u0e35\u0e22\u0e1a\u0e04\u0e48\u0e32\u0e40\u0e09 [&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-421","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\u0e04\u0e27\u0e32\u0e21\u0e41\u0e1b\u0e23\u0e1b\u0e23\u0e27\u0e19\u0e41\u0e1a\u0e1a\u0e17\u0e32\u0e07\u0e40\u0e14\u0e35\u0e22\u0e27 - Statorials<\/title>\n<meta name=\"description\" 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