{"id":256,"date":"2022-09-03T14:25:01","date_gmt":"2022-09-03T05:25:01","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/dunn-test-using-rank-sums\/"},"modified":"2024-09-21T08:11:22","modified_gmt":"2024-09-20T23:11:22","slug":"dunn-test-using-rank-sums","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/dunn-test-using-rank-sums\/","title":{"rendered":"\u30ce\u30f3\u30d1\u30e9\u30e1\u30c8\u30ea\u30c3\u30af\u591a\u91cd\u6bd4\u8f03\u6cd5\u306e Dunn \u691c\u5b9a\u306e\u7c21\u5358\u306a\u89e3\u8aac\u3068\u30b5\u30f3\u30d7\u30eb\u6570\u306e\u504f\u308a\u30fb\u30bf\u30a4\u30c7\u30fc\u30bf\u306b\u3064\u3044\u3066"},"content":{"rendered":"\n<p>Dunn\u691c\u5b9a\u3068\u8a00\u3048\u3070\u3001\u9806\u4f4d\u548c\u3092\u4f7f\u3063\u305f\u691c\u5b9a\u304c\u6709\u540d\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u308c\u306fSPSS\u3067\u30af\u30e9\u30b9\u30ab\u30eb\u30a6\u30a9\u30ea\u30b9\u691c\u5b9a\u3092\u3057\u305f\u3042\u3068\u306ePost-hoc\u691c\u5b9a\u3068\u3057\u3066\u6709\u540d\u3002<\/p>\n\n\n\n<p>\u3069\u3093\u306a\u691c\u5b9a\u306a\u306e\u304b\uff1f<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\" id=\"Dunn\u691c\u5b9a\u306e\u660e\u78ba\u5316\">Dunn\u691c\u5b9a\u306e\u660e\u78ba\u5316<\/h2>\n\n\n\n<p>Olive Jean Dunn\u5148\u751f\u306f\u30011961\u5e74\u30681964\u5e74\u306b\u4e8c\u3064\u306eDunn\u691c\u5b9a\u3092\u767a\u8868\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>1961\u5e74\u306eDunn\u691c\u5b9a\u306f\u3001\u5e73\u5747\u5024\u306e\u591a\u91cd\u6bd4\u8f03\u65b9\u6cd5\u306e\u8ad6\u6587\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/sci2s.ugr.es\/keel\/pdf\/algorithm\/articulo\/1961-Bonferroni_Dunn-JASA.pdf\">https:\/\/sci2s.ugr.es\/keel\/pdf\/algorithm\/articulo\/1961-Bonferroni_Dunn-JASA.pdf<\/a><\/p>\n\n\n\n<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u3053\u306e\u5e73\u5747\u5024\u306e\u591a\u91cd\u6bd4\u8f03\u6cd5\u306f\u3001\u5bfe\u8c61\u5916\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>1964\u5e74\u306eDunn\u691c\u5b9a\u306f\u3001\u9806\u4f4d\u548c\u3092\u4f7f\u3063\u305f\u591a\u91cd\u6bd4\u8f03\u6cd5\u306e\u8ad6\u6587\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p><a href=\"https:\/\/www.stat.cmu.edu\/technometrics\/59-69\/VOL-06-03\/v0603241.pdf\">https:\/\/www.stat.cmu.edu\/technometrics\/59-69\/VOL-06-03\/v0603241.pdf<\/a><\/p>\n\n\n\n<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3053\u3061\u3089\u306e\u9806\u4f4d\u548c\u3092\u4f7f\u3063\u305f\u591a\u91cd\u6bd4\u8f03\u6cd5\u3092\u7d39\u4ecb\u3059\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"Dunn\u691c\u5b9a\u3068\u306f\u3069\u3093\u306a\u691c\u5b9a\u304b\">Dunn\u691c\u5b9a\u3068\u306f\u3069\u3093\u306a\u691c\u5b9a\u304b\uff1f<\/h2>\n\n\n\n<p>\u307e\u305a\u3001\u5168\u7fa4\u901a\u3058\u3066\u3001\u6700\u5c0f\u5024\u304b\u3089\u6700\u5927\u5024\u307e\u3067\u3001\u305d\u308c\u305e\u308c\u306e\u5024\u306b\u9806\u4f4d\u3092\u3064\u3051\u308b\u3002<\/p>\n\n\n\n<p>\u540c\u3058\u5024\uff08\u540c\u9806\u4f4d\u306b\u306a\u308b\u5024\u3002\u30bf\u30a4\uff09\u304c\u3042\u3063\u305f\u5834\u5408\u306f\u3001\u5e73\u5747\u540c\u9806\u4f4d\u3092\u3064\u3051\u308b\u3002<\/p>\n\n\n\n<p>\u5404\u7fa4\u306e\u9806\u4f4d\u306e\u5408\u8a08\u3092 T \u3068\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001\u7814\u7a76\u8005\u304c\u6bd4\u8f03\u3057\u305f\u3044\u30da\u30a2\u6570\u3092 p \u3068\u3059\u308b\u3002<\/p>\n\n\n\n<p>Dunn\u691c\u5b9a\u306f\u3001\u5404\u7fa4\u3092\u7dcf\u5f53\u305f\u308a\u3067\u6bd4\u8f03\u3059\u308b\u3053\u3068\u306f\u3082\u3061\u308d\u3093\u306e\u3053\u3068\u3001\u8907\u6570\u7fa4\u3092\u4e00\u7dd2\u306b\u3057\u305f\u533a\u5207\u308a\u3001\u4f8b\u3048\u3070\u3001\uff11\u7fa4\u3068\uff12\u7fa4\u306e\u5408\u8a08 vs \uff13\u7fa4\u306a\u3069\u306e\u6bd4\u8f03\u3082\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u3046\u3044\u3046\u6bd4\u8f03\u30da\u30a2\u3082\u542b\u3081\u305f\u3001\u7814\u7a76\u8005\u304c\u6ce8\u76ee\u3057\u3066\u3044\u308b\u6bd4\u8f03\u30da\u30a2\u6570\u304c $ p $ \u3068\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u6700\u521d\u306e\u8a08\u7b97\u306f\u3001\u30da\u30a2\u9593\u306e\u5dee\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\\begin{equation}<br>y = \\frac{\\sum T_i}{\\sum n_i} &#8211; \\frac{\\sum T_{i&#8217;}}{\\sum n_{i&#8217;}}<br>\\end{equation}<\/p>\n\n\n\n<p>y \u304c\u30da\u30a2\u9593\u306e\u5dee\u3067\u3001\u6bd4\u8f03\u3057\u305f\u3044\u30da\u30a2\u306e\u6570 p \u500b\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>i, i&#8217; \u306f\u3001\u6bd4\u8f03\u7fa4\u30b0\u30eb\u30fc\u30d7\u3092\u8868\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\uff11\u7fa4\u3068\uff13\u7fa4\u3092\u6bd4\u8f03\u3059\u308b\u5834\u5408\u306f\u3001i = 1, i&#8217; = 3 \u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\uff11\u7fa4\uff0b\uff12\u7fa4 vs \uff13\u7fa4\u306a\u3089\u3070\u3001i = 1,2, i&#8217; = 3 \u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\uff11\u7fa4\uff0b\uff12\u7fa4 vs \uff13\u7fa4\u306e\u5834\u5408\u306f\u3001$ y = \\frac{T_1 + T_2}{n_1 + n_2} &#8211; \\frac{T_3}{n_3} $ \u3068\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u5dee\u3092\u6a19\u6e96\u8aa4\u5dee\uff08\u539f\u8457\u3067\u306f\u6a19\u6e96\u504f\u5dee\u3068\u3042\u308b\u304c\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3067\u5272\u3063\u3066\u3044\u308b\u306e\u3067\u6a19\u6e96\u8aa4\u5dee\u3068\u89e3\u91c8\u3067\u304d\u308b\uff09s \u3067\u5272\u308b\u3002<\/p>\n\n\n\n<p>\\begin{equation}<br>s = \\sqrt {\\frac{N(N+1)}{12} \\left( \\frac{1}{\\sum n_i} + \\frac{1}{\\sum n_{i&#8217;}} \\right)}<br>\\end{equation}<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001N \u306f\u5168\u7fa4\u5408\u308f\u305b\u305f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3001$ n_i $, $ n_{i&#8217;} $ \u306f\u6bd4\u8f03\u7fa4\uff08\u8907\u6570\u7fa4\u542b\u3080\uff09\u305d\u308c\u305e\u308c\u306e\u5408\u8a08\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u30bf\u30a4\u304c\u3042\u308b\u5834\u5408\u306f\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8abf\u6574\u3057\u305f s \u3092\u7528\u3044\u308b\u3002<\/p>\n\n\n\n<p>\\begin{equation}<br>s = \\sqrt { \\left( \\frac{N(N+1)}{12} &#8211; \\frac{\\sum (t^3-t)}{12(N-1)} \\right) \\left( \\frac{1}{\\sum n_i} + \\frac{1}{\\sum n_{i&#8217;}} \\right)}<br>\\end{equation}<\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001t \u306f\u3001\u30bf\u30a4\u9806\u4f4d\u5225\u306e\u30bf\u30a4\u306e\u500b\u6570\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u6700\u5f8c\u306b\u6bd4\u8f03\u7fa4\u30da\u30a2\u306e y \u3068 s \u306e\u6bd4 y\/s \u3092\u8a08\u7b97\u3059\u308b\u3068\u3001\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u306b\u5f93\u3046\u691c\u5b9a\u7d71\u8a08\u91cf z \u3068\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u6709\u610f\u6c34\u6e96\u3092 $ \\alpha $ \u3068\u3059\u308b\u3068\u3001\u6709\u610f\u6c34\u6e96\u3092 $ \\alpha\/p $ \u3068\u3057\u3066\u5c0f\u3055\u304f\u3057\u3066\u691c\u5b9a\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u70b9\u304c Bonferroni \u8abf\u6574\u3068\u540c\u3058\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u4f8b\u3048\u3070\u4e21\u5074\uff15\uff05\u3067\u3001\uff13\u30da\u30a2\u306e\u6bd4\u8f03\u3092\u884c\u3046\u3068\u3059\u308b\u3068\u3001$ 0.05 \/ 3 \\fallingdotseq 0.0167 $ \u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u3055\u3089\u306b\u4e21\u5074\u691c\u5b9a\u3067\u3042\u308b\u5834\u5408\u306f\u3001\u3053\u306e\u534a\u5206\u306e\u78ba\u7387\u304c\u4e0a\u5074\uff08\u53c8\u306f\u4e0b\u5074\uff09\u78ba\u7387\u306b\u306a\u308b\uff5a\u5024\uff08\u306e\u7d76\u5bfe\u5024\uff09 $ z_{1-0.0167\/2} \\fallingdotseq 2.39 $ \u3068 y\/s \uff08\u306e\u7d76\u5bfe\u5024\uff09\u3092\u6bd4\u8f03\u3059\u308b\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u7d71\u8a08\u30bd\u30d5\u30c8\u30a6\u30a7\u30a2\u306b\u3088\u3063\u3066\u306f\u3001\u8abf\u6574\u6e08\u307f\u306e p \u5024\u304c\u8868\u793a\u3055\u308c\u308b\u5834\u5408\u304c\u3042\u308a\u3001\u305d\u306e\u5834\u5408\u306f\u5143\u306e\u6709\u610f\u6c34\u6e96\uff15\uff05\u3068\u6bd4\u8f03\u3059\u308c\u3070\u3088\u304f\u306a\u3063\u3066\u3044\u308b\u306e\u3067\u3001\u51fa\u529b\u7d50\u679c\u304c\u8abf\u6574\u6e08\u307f\u306a\u306e\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3059\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<div id=\"biost-3913274655\" class=\"biost- biost-entity-placement\"><p style=\"text-align: center;\"><span style=\"font-size: 20px;\"><strong><a href=\"https:\/\/best-biostatistics.com\/kmhl\">\uff1e\uff1e\u3082\u3046\u7d71\u8a08\u3067\u60a9\u3080\u306e\u306f\u7d42\u308f\u308a\u306b\u3057\u307e\u305b\u3093\u304b\uff1f\u00a0<\/a><\/strong><\/span><\/p>\r\n<a href=\"https:\/\/best-biostatistics.com\/kmhl\"><img class=\"aligncenter wp-image-2794 size-full\" src=\"https:\/\/best-biostatistics.com\/wp\/wp-content\/uploads\/2023\/11\/bn_r_03.png\" alt=\"\" width=\"500\" height=\"327\" \/><\/a>\r\n<p style=\"text-align: center;\"><span style=\"color: #ff0000; font-size: 20px;\"><strong><span class=\"marker2\">\u21911\u4e07\u4eba\u4ee5\u4e0a\u306e\u533b\u7642\u5f93\u4e8b\u8005\u304c\u8cfc\u8aad\u4e2d<\/span><\/strong><\/span><\/p><\/div><h2 class=\"wp-block-heading\" id=\"Dunn\u691c\u5b9a\u306e\u5404\u7fa4\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304c\u7570\u306a\u3063\u3066\u3082\u554f\u984c\u306a\u3044\u304b\">Dunn\u691c\u5b9a\u306e\u5404\u7fa4\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304c\u7570\u306a\u3063\u3066\u3082\u554f\u984c\u306a\u3044\u304b\uff1f<\/h2>\n\n\n\n<p>\u539f\u8457\u8ad6\u6587\u3092\u773a\u3081\u305f\u9650\u308a\u3001\u554f\u984c\u3068\u306e\u8a18\u8f09\u306f\u898b\u3064\u304b\u3089\u306a\u304b\u3063\u305f\u3002<\/p>\n\n\n\n<p>\u539f\u8457\u8ad6\u6587\u3067\u306f\u3001\u4ee5\u4e0b\u306e\u4f8b\u3092\u3082\u3068\u306b\u6570\u5024\u8a08\u7b97\u4f8b\u3092\u6319\u3052\u3066\u3044\u308b\u304c\u3001\u5404\u7fa4\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306f\u3001228\u4f8b\u300168\u4f8b\u300187\u4f8b\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u304b\u306a\u308a\u7fa4\u3054\u3068\u306b\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304c\u7570\u306a\u308b\u4f8b\u3092\u7528\u3044\u3066\u8a08\u7b97\u3057\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u539f\u8457\u8ad6\u6587\u3067\u3053\u306e\u3088\u3046\u306a\u4f8b\u3092\u6319\u3052\u3066\u3044\u308b\u3053\u3068\u3092\u8003\u616e\u3059\u308b\u3068\u3001\u7fa4\u3054\u3068\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u9055\u3044\u306f\u6c17\u306b\u3057\u306a\u304f\u3066\u3088\u3044\u3068\u8003\u3048\u3089\u308c\u308b\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"804\" height=\"602\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2022\/09\/20220903140029.png\" alt=\"\" class=\"wp-image-1562\" title=\"\" srcset=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2022\/09\/20220903140029.png 804w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2022\/09\/20220903140029-300x225.png 300w, https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2022\/09\/20220903140029-768x575.png 768w\" sizes=\"(max-width: 804px) 100vw, 804px\" \/><\/figure>\n\n\n\n<p><span itemscope=\"\" itemtype=\"http:\/\/schema.org\/Photograph\"><\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"Dunn\u691c\u5b9a\u306b\u304a\u3044\u3066\u30bf\u30a4\u30c7\u30fc\u30bf\u306f\u3069\u306e\u304f\u3089\u3044\u652f\u969c\u3092\u304d\u305f\u3059\u304b\">Dunn\u691c\u5b9a\u306b\u304a\u3044\u3066\u30bf\u30a4\u30c7\u30fc\u30bf\u306f\u3069\u306e\u304f\u3089\u3044\u652f\u969c\u3092\u304d\u305f\u3059\u304b\uff1f<\/h2>\n\n\n\n<p>\u30bf\u30a4\u30c7\u30fc\u30bf\u304c\u5b58\u5728\u3059\u308b\u3068\u554f\u984c\u306b\u306a\u308b\u304b\u3068\u3044\u3046\u70b9\u306b\u3064\u3044\u3066\u3082\u3001\u4e0a\u8a18\u306e\u4f8b\u3092\u898b\u3066\u5224\u65ad\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<p>\u4e0a\u8a18\u306e\u4f8b\u306f\u300110\u30ab\u30c6\u30b4\u30ea\u306b\u5206\u304b\u308c\u308b\u8077\u696d\u30ec\u30d9\u30eb\uff081964\u5e74\u5f53\u6642\u306e\u8003\u3048\u65b9\u3067\u3042\u308d\u3046\uff09\u3068\u3044\u3046\u9806\u5e8f\u30ab\u30c6\u30b4\u30ea\u30ab\u30eb\u30c7\u30fc\u30bf\u3092\uff13\u7fa4\u3067\u6bd4\u8f03\u3059\u308b\u3068\u3044\u3046\u30c7\u30fc\u30bf\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u540c\u3058\u30ec\u30d9\u30eb\u306b\u8a72\u5f53\u3059\u308b\u4eba\u6570\u304c4\u4f8b\u304b\u3089126\u4f8b\u3068\u3042\u308b\uff08All\u306e\u5217\u53c2\u7167\uff09\u3002<\/p>\n\n\n\n<p>\u3064\u307e\u308a\u3001\u540c\u3058\u30ec\u30d9\u30eb\u306b\u542b\u307e\u308c\u308b\u4eba\u6570\u5206\u3060\u3051\u30bf\u30a4\u30c7\u30fc\u30bf\u304c\u5b58\u5728\u3059\u308b\u3068\u3044\u3046\u3053\u3068\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u8ad6\u6587\u306e\u4f8b\u3067\u306f\u3001\u30bf\u30a4\u30c7\u30fc\u30bf\u304c\u3042\u308b\u3068\u304d\u306e\u88dc\u6b63\u5f0f\u3092\u7528\u3044\u3066\u8a08\u7b97\u3057\u3066\u3044\u308b\u306e\u307f\u3067\u3001\u305d\u308c\u306f\u554f\u984c\u306b\u3057\u3066\u3044\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u4e0a\u8a18\u306b\u793a\u3057\u305f\u3001\u30bf\u30a4\u30c7\u30fc\u30bf\u3092\u88dc\u6b63\u3057\u305f s \u306e\u5f0f\u3092\u898b\u308c\u3070\u3001\u30bf\u30a4\u30c7\u30fc\u30bf\u304c\u591a\u304f\u306a\u308b\u3068\u3001$ \\sum (t^3 &#8211; t) $ \u306e\u90e8\u5206\u304c\u5927\u304d\u304f\u306a\u308a\u3001s \u306f\u5c0f\u3055\u304f\u306a\u308b\u8a08\u7b97\u5f0f\u306b\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u3064\u307e\u308a\u3001\u691c\u5b9a\u7d71\u8a08\u91cf z = y\/s \u306e\u5206\u6bcd\u304c\u5c0f\u3055\u304f\u306a\u308b\u308f\u3051\u306a\u306e\u3067\u3001z \u81ea\u4f53\u306f\u5927\u304d\u304f\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u3088\u3063\u3066\u3001\u3088\u308a\u7d71\u8a08\u5b66\u7684\u6709\u610f\u3092\u691c\u51fa\u3057\u3084\u3059\u304f\u306a\u308b\u308f\u3051\u3067\u3001\u5c11\u306a\u304f\u3068\u3082\u30bf\u30a4\u30c7\u30fc\u30bf\u304c\u7d71\u8a08\u5b66\u7684\u6709\u610f\u306e\u691c\u51fa\u529b\u3092\u4e0b\u3052\u308b\u65b9\u5411\u306b\u306f\u5f71\u97ff\u3057\u306a\u3044\u3068\u8a00\u3048\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u307e\u3068\u3081\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u9806\u4f4d\u3092\u7528\u3044\u305f\u591a\u91cd\u6bd4\u8f03\u691c\u5b9a\u306eDunn\u691c\u5b9a\u306e\u539f\u8457\u3092\u78ba\u8a8d\u3057\u3066step by step\u3067\u898b\u3066\u307f\u305f\u3002<\/p>\n\n\n\n<p>\u5404\u7fa4\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u504f\u308a\u3084\u30bf\u30a4\u30c7\u30fc\u30bf\u306e\u591a\u5c11\u306b\u3088\u3063\u3066\u691c\u5b9a\u81ea\u4f53\u306b\u652f\u969c\u3092\u304d\u305f\u3059\u6839\u62e0\u306f\u898b\u3064\u304b\u3089\u306a\u304b\u3063\u305f\u3002<\/p>\n\n\n\n<p>\u3042\u307e\u308a\u3044\u308d\u3044\u308d\u3068\u6c17\u306b\u305b\u305a\u9069\u7528\u3057\u3066\u3088\u3044\u3082\u306e\u3068\u601d\u308f\u308c\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u53c2\u8003\u6587\u732e\">\u53c2\u8003\u6587\u732e<\/h2>\n\n\n\n<p><a href=\"https:\/\/www.stat.cmu.edu\/technometrics\/59-69\/VOL-06-03\/v0603241.pdf\">Olive Jean Dunn. Multiple Comparisons Using Rank Sums.<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.stats-guild.com\/analytics\/13251\">Kruskal-Wallis\u691c\u5b9a\u306e\u5f8c\u306e\u591a\u91cd\u6bd4\u8f03\u306e\u624b\u6cd5<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.jmp.com\/support\/help\/ja\/15.2\/index.shtml#page\/jmp\/nonparametric-multiple-comparisons.shtml#ww853568\">\u3059\u3079\u3066\u306e\u30da\u30a2 \u4f75\u5408\u9806\u4f4d\u306eDunn\u691c\u5b9a\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u7fa4\u3068\u306e\u6bd4\u8f03 \u4f75\u5408\u9806\u4f4d\u306eDunn\u691c\u5b9a | JMP Help<\/a><\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-wp-embed is-provider-real-statistics-using-excel wp-block-embed-real-statistics-using-excel\"><div class=\"wp-block-embed__wrapper\">\nhttps:\/\/www.real-statistics.com\/one-way-analysis-of-variance-anova\/kruskal-wallis-test\/dunns-test-after-kw\/\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Dunn\u691c\u5b9a\u3068\u8a00\u3048\u3070\u3001\u9806\u4f4d\u548c\u3092\u4f7f\u3063\u305f\u691c\u5b9a\u304c\u6709\u540d\u3067\u3042\u308b\u3002 \u3053\u308c\u306fSPSS\u3067\u30af\u30e9\u30b9\u30ab\u30eb\u30a6\u30a9\u30ea\u30b9\u691c\u5b9a\u3092\u3057\u305f\u3042\u3068\u306ePost-hoc\u691c\u5b9a\u3068\u3057\u3066\u6709\u540d\u3002 \u3069\u3093\u306a\u691c\u5b9a\u306a\u306e\u304b\uff1f<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[73,19],"tags":[],"class_list":["post-256","post","type-post","status-publish","format-standard","hentry","category-73","category-19"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/256","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/comments?post=256"}],"version-history":[{"count":2,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/256\/revisions"}],"predecessor-version":[{"id":1563,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/256\/revisions\/1563"}],"wp:attachment":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/media?parent=256"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/categories?post=256"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/tags?post=256"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}