{"id":1548,"date":"2023-07-25T22:24:09","date_gmt":"2023-07-25T22:24:09","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e5%a4%9a%e9%a0%85%e6%a4%9c%e5%ae%9a\/"},"modified":"2023-07-25T22:24:09","modified_gmt":"2023-07-25T22:24:09","slug":"%e5%a4%9a%e9%a0%85%e6%a4%9c%e5%ae%9a","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e5%a4%9a%e9%a0%85%e6%a4%9c%e5%ae%9a\/","title":{"rendered":"\u591a\u9805\u691c\u5b9a\u3068\u306f\u4f55\u3067\u3059\u304b? (\u5b9a\u7fa9&amp;#038;\u4f8b)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u591a\u9805\u691c\u5b9a\u306f\u3001<\/strong>\u30ab\u30c6\u30b4\u30ea\u5909\u6570\u304c\u4eee\u8aac\u5206\u5e03\u306b\u5f93\u3046\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u691c\u5b9a\u3067\u306f\u3001\u6b21\u306e\u5e30\u7121\u4eee\u8aac\u3068\u5bfe\u7acb<a href=\"https:\/\/statorials.org\/ja\/\u4eee\u8aac\u691c\u8a3c1\/\" target=\"_blank\" rel=\"noopener\">\u4eee\u8aac\u3092<\/a>\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong>\u30ab\u30c6\u30b4\u30ea\u5909\u6570\u306f\u4eee\u8aac\u5206\u5e03\u306b\u5f93\u3044\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong>\u30ab\u30c6\u30b4\u30ea\u5909\u6570\u306f\u4eee\u8aac\u306e\u5206\u5e03<em>\u306b\u5f93\u3044\u307e\u305b\u3093<\/em>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u691c\u5b9a\u306e<a href=\"https:\/\/statorials.org\/ja\/p-\u5024\u306e\u7d71\u8a08\u7684\u6709\u610f\u6027\/\" target=\"_blank\" rel=\"noopener\">p \u5024\u304c<\/a>\u7279\u5b9a\u306e\u6709\u610f\u6c34\u6e96 (\u4f8b: \u03b1 = 0.05) \u3092\u4e0b\u56de\u3063\u3066\u3044\u308b\u5834\u5408\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u3001\u5909\u6570\u304c\u4eee\u8aac\u306e\u5206\u5e03\u306b\u5f93\u3063\u3066\u3044\u306a\u3044\u3068\u7d50\u8ad6\u4ed8\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c6\u30b9\u30c8\u306f\u3001\u5909\u6570\u304c<em>k \u500b<\/em>\u306e\u7570\u306a\u308b\u7d50\u679c\u3092\u53d6\u5f97\u3067\u304d\u308b\u5834\u5408\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><span style=\"color: #000000;\">\u591a\u9805\u30c6\u30b9\u30c8\u306e\u5178\u578b\u7684\u306a\u4f8b\u306f\u3001\u7279\u5b9a\u306e\u30b5\u30a4\u30b3\u30ed\u304c\u516c\u5e73\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u5834\u5408\u3067\u3059\u3002\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u3063\u305f\u3068\u304d\u3001\u5404\u6570\u5b57\uff081 \uff5e 6\uff09\u306b\u5f53\u305f\u308b\u78ba\u7387\u306f 1\/6 \u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u30b5\u30a4\u30b3\u30ed\u304c\u516c\u5e73\u304b\u3069\u3046\u304b\u3092\u30c6\u30b9\u30c8\u3059\u308b\u306b\u306f\u3001\u4f55\u5ea6\u3082\u30b5\u30a4\u30b3\u30ed\u3092\u632f\u3063\u3066\u3001\u7570\u306a\u308b\u6570\u5b57\u304c\u51fa\u305f\u56de\u6570\u304c\u4e88\u60f3\u3068\u5927\u5e45\u306b\u7570\u306a\u308b\u304b\u3069\u3046\u304b\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001R \u7d71\u8a08\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u3092\u4f7f\u7528\u3057\u3066\u591a\u9805\u691c\u5b9a\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b 1: \u30d5\u30a7\u30a2\u30c0\u30a4\u30b9<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u30b5\u30a4\u30b3\u30ed\u304c\u516c\u5e73\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u30c6\u30b9\u30c8\u3059\u308b\u305f\u3081\u306b\u300130 \u56de\u5b9f\u884c\u3057\u3001\u5404\u7d50\u679c\u306e\u983b\u5ea6\u3092\u8a18\u9332\u3057\u307e\u3059\u3002\u6b21\u306e\u8868\u306b\u7d50\u679c\u3092\u793a\u3057\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15365\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multinomialtest1.png\" alt=\"\u591a\u9805\u691c\u5b9a\u306e\u4f8b\" width=\"237\" height=\"200\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">R \u306e\u6b21\u306e\u30b3\u30fc\u30c9\u3092\u4f7f\u7528\u3057\u3066\u3001\u591a\u9805\u691c\u5b9a\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #993300;\">library<\/span> (EMT)\n\n<span style=\"color: #008080;\">#specify probability of each outcome\n<\/span>prob &lt;- c(1\/6, 1\/6, 1\/6, 1\/6, 1\/6, 1\/6)\n\n<span style=\"color: #008080;\">#specify frequency of each outcome from experiment\n<\/span>actual &lt;- c(4, 5, 2, 9, 5, 5)\n\n<span style=\"color: #008080;\">#perform multinomial test\n<\/span>multinomial. <span style=\"color: #3366ff;\">test<\/span> (actual, prob)<\/span> \n<span style=\"color: #000000;\">\n Exact Multinomial Test, distance measure: p\n\n    Events pObs p.value\n    324632 0 0.4306<\/span><\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u691c\u5b9a\u306e p \u5024\u306f<strong>0.4306<\/strong>\u3067\u3059\u3002\u3053\u306e p \u5024\u306f 0.05 \u672a\u6e80\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u306f\u68c4\u5374\u3055\u308c\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30b5\u30a4\u30b3\u30ed\u304c\u4e0d\u516c\u5e73\u3067\u3042\u308b\u3068\u8a00\u3048\u308b\u5341\u5206\u306a\u8a3c\u62e0\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b2\uff1a\u7269\u8ca9<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5e97\u4e3b\u304c\u3001\u540c\u6570\u306e\u9867\u5ba2\u304c 4 \u3064\u306e\u7570\u306a\u308b\u88fd\u54c1\u3092\u305d\u308c\u305e\u308c\u8cfc\u5165\u3059\u308b\u3068\u4eee\u5b9a\u3059\u308b\u3068\u3057\u307e\u3059\u3002\u3053\u308c\u3092\u30c6\u30b9\u30c8\u3059\u308b\u305f\u3081\u306b\u3001\u7279\u5b9a\u306e\u9031\u306b\u5404\u88fd\u54c1\u3092\u8cfc\u5165\u3057\u305f\u9867\u5ba2\u306e\u6570\u3092\u8a18\u9332\u3057\u307e\u3059\u3002\u6b21\u306e\u8868\u306b\u7d50\u679c\u3092\u793a\u3057\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15366 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multinomialtest2.png\" alt=\"\" width=\"251\" height=\"147\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">R \u306e\u6b21\u306e\u30b3\u30fc\u30c9\u3092\u4f7f\u7528\u3057\u3066\u3001\u3053\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066\u591a\u9805\u691c\u5b9a\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #993300;\">library<\/span> (EMT)\n\n<span style=\"color: #008080;\">#specify probability of each outcome\n<\/span>prob &lt;- c(1\/4, 1\/4, 1\/4, 1\/4)\n\n<span style=\"color: #008080;\">#specify frequency of each outcome from experiment\n<\/span>actual &lt;- c(40, 20, 30, 50)\n\n<span style=\"color: #008080;\">#perform multinomial test\n<\/span>multinomial. <span style=\"color: #3366ff;\">test<\/span> (actual, prob)<\/span> \n<span style=\"color: #000000;\">\n Exact Multinomial Test, distance measure: p\n\n    Events pObs p.value\n    477191 0 0.00226<\/span><\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u691c\u5b9a\u306e p \u5024\u306f<strong>0.00226<\/strong>\u3067\u3059\u3002\u3053\u306e p \u5024\u306f 0.05 \u672a\u6e80\u3067\u3042\u308b\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3057\u307e\u3059\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u5404\u88fd\u54c1\u306e\u58f2\u4e0a\u304c\u5747\u7b49\u3067\u306f\u306a\u3044\u3053\u3068\u3092\u793a\u3059\u5341\u5206\u306a\u8a3c\u62e0\u304c\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b 3: \u888b\u306e\u4e2d\u306e\u30d3\u30fc\u7389<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u30c8\u30e0\u306f\u3001\u888b\u304b\u3089\u8d64\u3001\u7dd1\u3001\u7d2b\u306e\u30d3\u30fc\u7389\u3092\u9078\u3076\u78ba\u7387\u306f\u305d\u308c\u305e\u308c 0.2\u30010.5\u30010.3 \u3067\u3042\u308b\u3068\u8ff0\u3079\u3066\u3044\u307e\u3059\u3002\u3053\u308c\u3092\u30c6\u30b9\u30c8\u3059\u308b\u305f\u3081\u306b\u3001\u5f7c\u306e\u53cb\u4eba\u306e\u30de\u30a4\u30af\u306f\u30d0\u30c3\u30b0\u306b\u624b\u3092\u5165\u308c\u3066\u30d3\u30fc\u7389 (\u4ee3\u66ff\u54c1\u3042\u308a) \u3092 100 \u56de\u53d6\u308a\u51fa\u3057\u307e\u3057\u305f\u3002\u6b21\u306e\u8868\u306b\u7d50\u679c\u3092\u793a\u3057\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15367 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/multinomialtest3.png\" alt=\"\" width=\"236\" height=\"126\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">R \u306e\u6b21\u306e\u30b3\u30fc\u30c9\u3092\u4f7f\u7528\u3057\u3066\u3001\u3053\u306e\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u5bfe\u3057\u3066\u591a\u9805\u691c\u5b9a\u3092\u5b9f\u884c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #993300;\">library<\/span> (EMT)\n\n<span style=\"color: #008080;\">#specify probability of each outcome\n<\/span>prob &lt;- c(.2, .5, .3)\n\n<span style=\"color: #008080;\">#specify frequency of each outcome from experiment\n<\/span>actual &lt;- c(40, 20, 30, 50)\n\n<span style=\"color: #008080;\">#perform multinomial test\n<\/span>multinomial. <span style=\"color: #3366ff;\">test<\/span> (actual, prob)<\/span> \n<span style=\"color: #000000;\">\n Exact Multinomial Test, distance measure: p\n\n    Events pObs p.value\n      5151 0.0037 0.3999<\/span><\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u691c\u5b9a\u306e p \u5024\u306f<strong>0.3999<\/strong>\u3067\u3059\u3002\u3053\u306e p \u5024\u306f 0.05 \u672a\u6e80\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u5e30\u7121\u4eee\u8aac\u3092\u68c4\u5374\u3067\u304d\u307e\u305b\u3093\u3002\u3057\u305f\u304c\u3063\u3066\u3001\u30d0\u30c3\u30b0\u5185\u306e\u30d3\u30fc\u7389\u306e\u5206\u5e03\u304c\u30c8\u30e0\u304c\u6307\u5b9a\u3057\u305f\u3082\u306e\u3068\u7570\u306a\u308b\u3068\u8a00\u3048\u308b\u5341\u5206\u306a\u8a3c\u62e0\u304c\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/ja\/\u591a\u9805\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener\">\u591a\u9805\u5206\u5e03\u306e\u6982\u8981<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u591a\u9805\u5206\u5e03\u8a08\u7b97\u6a5f\/\" target=\"_blank\" rel=\"noopener\">\u591a\u9805\u5206\u5e03\u8a08\u7b97\u6a5f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u591a\u9805\u691c\u5b9a\u306f\u3001\u30ab\u30c6\u30b4\u30ea\u5909\u6570\u304c\u4eee\u8aac\u5206\u5e03\u306b\u5f93\u3046\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 \u3053\u306e\u691c\u5b9a\u3067\u306f\u3001\u6b21\u306e\u5e30\u7121\u4eee\u8aac\u3068\u5bfe\u7acb\u4eee\u8aac\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002 H 0 :\u30ab\u30c6\u30b4\u30ea\u5909\u6570\u306f\u4eee\u8aac\u5206\u5e03\u306b\u5f93\u3044\u307e\u3059\u3002 H A :\u30ab\u30c6\u30b4\u30ea\u5909\u6570\u306f\u4eee\u8aac\u306e\u5206\u5e03\u306b\u5f93\u3044\u307e [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-1548","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u591a\u9805\u691c\u5b9a\u3068\u306f\u4f55\u3067\u3059\u304b? 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