{"id":4033,"date":"2025-06-17T22:30:58","date_gmt":"2025-06-17T13:30:58","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/?p=4033"},"modified":"2025-06-17T22:31:00","modified_gmt":"2025-06-17T13:31:00","slug":"why-you-shouldnt-judge-differences-by-overlapping-confidence-intervals","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/why-you-shouldnt-judge-differences-by-overlapping-confidence-intervals\/","title":{"rendered":"\u4fe1\u983c\u533a\u9593\u306e\u91cd\u306a\u308a\u3067\u300c\u5dee\u300d\u3092\u5224\u65ad\u3057\u3066\u306f\u3044\u3051\u306a\u3044\u7406\u7531"},"content":{"rendered":"\n<p>2\u3064\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u5024\u3092\u6bd4\u8f03\u3059\u308b\u969b\u3001\u591a\u304f\u306e\u4eba\u304c\u305d\u308c\u305e\u308c\u306e\u5e73\u5747\u5024\u306e95%\u4fe1\u983c\u533a\u9593\u304c\u91cd\u306a\u3063\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3092\u898b\u3066\u3001\u300c\u7d71\u8a08\u5b66\u7684\u306b\u6709\u610f\u306a\u5dee\u304c\u3042\u308b\u304b\u300d\u3092\u5224\u65ad\u3057\u3088\u3046\u3068\u3059\u308b\u3002\u3057\u304b\u3057\u3001\u3053\u308c\u306f\u8aa4\u308a\u3067\u3042\u308b\u3002\u5b9f\u306f\u30012\u3064\u306e\u4fe1\u983c\u533a\u9593\u304c\u91cd\u306a\u3063\u3066\u3044\u305f\u3068\u3057\u3066\u3082\u3001\u7d71\u8a08\u5b66\u7684\u306b\u6709\u610f\u306a\u5dee\u304c\u5b58\u5728\u3059\u308b\u53ef\u80fd\u6027\u306f\u5341\u5206\u306b\u3042\u308a\u5f97\u308b\u3002\u3053\u306e\u8aa4\u89e3\u304c\u306a\u305c\u751f\u3058\u3001\u305d\u3057\u3066\u6b63\u3057\u3044\u5224\u65ad\u57fa\u6e96\u304c\u4f55\u3067\u3042\u308b\u304b\u3092\u89e3\u8aac\u3059\u308b\u3002<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\">\u7d71\u8a08\u5b66\u7684\u6709\u610f\u5dee\u3092\u793a\u3057\u3066\u3044\u308b\u72b6\u614b\u3068\u5404\u7fa4\u306e\u5e73\u5747\u5024\u306e95\uff05\u4fe1\u983c\u533a\u9593\u306e\u95a2\u4fc2\u6027<\/h2>\n\n\n\n<p>\u7d71\u8a08\u5b66\u7684\u306b2\u3064\u306e\u7fa4\u306e\u5e73\u5747\u5024\u306b\u6709\u610f\u5dee\u304c\u3042\u308b\u304b\u3069\u3046\u304b\u3092\u5224\u65ad\u3059\u308b\u969b\u3001\u500b\u3005\u306e\u7fa4\u306e\u5e73\u5747\u5024\u306e95%\u4fe1\u983c\u533a\u9593\u304c\u91cd\u306a\u3063\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3060\u3051\u3067\u7d50\u8ad6\u3092\u51fa\u3059\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u3002\u3053\u306e2\u3064\u306e\u6982\u5ff5\u306f\u3001\u95a2\u9023\u6027\u306f\u3042\u308b\u3082\u306e\u306e\u3001\u76f4\u63a5\u7684\u306a\u5224\u65ad\u57fa\u6e96\u306b\u306f\u306a\u3089\u306a\u3044\u3002<\/p>\n\n\n\n<p>\u4f8b\u3048\u3070\u3001\u3042\u308b\u6cbb\u7642\u6cd5A\u3068\u6cbb\u7642\u6cd5B\u306e\u52b9\u679c\u3092\u6bd4\u8f03\u3057\u3001\u305d\u308c\u305e\u308c\u306e\u5e73\u5747\u52b9\u679c\u306e95%\u4fe1\u983c\u533a\u9593\u3092\u7b97\u51fa\u3057\u305f\u3068\u3059\u308b\u3002\u3053\u308c\u3089\u306e\u4fe1\u983c\u533a\u9593\u304c\u308f\u305a\u304b\u306b\u91cd\u306a\u3063\u3066\u3044\u305f\u3068\u3057\u3066\u3082\u3001<strong>\u5fc5\u305a\u3057\u3082\u6709\u610f\u5dee\u304c\u306a\u3044\u3068\u306f\u9650\u3089\u306a\u3044<\/strong>\u3002\u3053\u306e\u95a2\u4fc2\u6027\u3092\u8996\u899a\u7684\u306b\u6349\u3048\u3088\u3046\u3068\u3057\u3066\u3082\u3001\u4fe1\u983c\u533a\u9593\u306e\u56f3\u3060\u3051\u3067\u7d71\u8a08\u7684\u6709\u610f\u5dee\u306e\u6709\u7121\u3092\u5224\u65ad\u3059\u308b\u3053\u3068\u306f\u3067\u304d\u306a\u3044\u306e\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u8aa4\u89e3\u304c\u751f\u3058\u3066\u3044\u308b\u539f\u56e0\u306e\u63a8\u5bdf<\/h2>\n\n\n\n<p>\u3053\u306e\u8aa4\u89e3\u304c\u751f\u3058\u308b\u4e3b\u306a\u539f\u56e0\u306f\u3001\u300c<strong>\u5dee\u306e95%\u4fe1\u983c\u533a\u9593\u304c\u30bc\u30ed\u3092\u307e\u305f\u3050\u304b\u3069\u3046\u304b<\/strong>\u300d\u3068\u3044\u3046\u6b63\u3057\u3044\u5224\u65ad\u57fa\u6e96\u3068\u3001\u300c<strong>2\u7fa4\u306e95%\u4fe1\u983c\u533a\u9593\u304c\u91cd\u306a\u308b\u304b\u3069\u3046\u304b<\/strong>\u300d\u304c\u6df7\u540c\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3068\u8003\u3048\u3089\u308c\u308b\u3002<\/p>\n\n\n\n<p>2\u7fa4\u9593\u306e\u5dee\u306e\u4fe1\u983c\u533a\u9593\u304c0\u3092\u307e\u305f\u304c\u306a\u3044\u5834\u5408\u3001\u305d\u308c\u306f\u7d71\u8a08\u5b66\u7684\u306b\u6709\u610f\u306a\u5dee\u304c\u3042\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u308b\u3002\u3057\u304b\u3057\u3001\u500b\u3005\u306e\u7fa4\u306e\u4fe1\u983c\u533a\u9593\u304c\u91cd\u306a\u3063\u3066\u3044\u3066\u3082\u3001\u5dee\u306e\u4fe1\u983c\u533a\u9593\u304c0\u3092\u307e\u305f\u304c\u306a\u3044\u30b1\u30fc\u30b9\u306f\u5b58\u5728\u3059\u308b\u3002\u3053\u306e\u5fae\u5999\u306a\u9055\u3044\u304c\u3001\u591a\u304f\u306e\u4eba\u306e\u9593\u3067\u6df7\u4e71\u3092\u62db\u3044\u3066\u3044\u308b\u3068\u63a8\u5bdf\u3067\u304d\u308b\u3002<\/p>\n\n\n\n<div id=\"biost-2430977813\" 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\">\u6b63\u3057\u3044\u7406\u89e3\u306e\u305f\u3081\u306e\u7c21\u5358\u306a\u6570\u5024\u306b\u3088\u308b\u8aac\u660e<\/h2>\n\n\n\n<p>\u306a\u305c\u500b\u3005\u306e\u4fe1\u983c\u533a\u9593\u306e\u91cd\u306a\u308a\u3068\u3001\u5dee\u306e\u6709\u7121\u306e\u5224\u65ad\u304c\u7570\u306a\u308b\u306e\u304b\u3092\u7c21\u5358\u306b\u8aac\u660e\u3059\u308b\u3002<\/p>\n\n\n\n<p>\u4fe1\u983c\u533a\u9593\u306e\u5e45\u306f\u3001\u305d\u306e\u7fa4\u306e\u5e73\u5747\u5024\u306e\u63a8\u5b9a\u306e\u3070\u3089\u3064\u304d\u3092\u793a\u3057\u3066\u3044\u308b\u30022\u3064\u306e\u7fa4\u306e\u5e73\u5747\u5024\u306e\u5dee\u3092\u8003\u3048\u308b\u3068\u304d\u3001\u305d\u306e\u5dee\u306e\u3070\u3089\u3064\u304d\u306f\u3001\u500b\u3005\u306e\u7fa4\u306e\u3070\u3089\u3064\u304d\u3068\u306f\u7570\u306a\u308b\u5f62\u3067\u8a08\u7b97\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>\u5177\u4f53\u7684\u306b\u306f\u30012\u3064\u306e\u72ec\u7acb\u3057\u305f\u7fa4\u306e\u5e73\u5747\u5024\u306e\u5dee\u306e\u6a19\u6e96\u8aa4\u5dee\u306f\u3001\u305d\u308c\u305e\u308c\u306e\u7fa4\u306e\u6a19\u6e96\u8aa4\u5dee\u3092\u4e8c\u4e57\u3057\u3066\u8db3\u3057\u5408\u308f\u305b\u305f\u3082\u306e\u306e\u5e73\u65b9\u6839\u3067\u8a08\u7b97\u3055\u308c\u308b\uff08\u5b9f\u969b\u306b\u306f\u3001\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3001\u3082\u3057\u304f\u306f\u81ea\u7531\u5ea6\u3092\u8003\u616e\u3059\u308b\u304c\u3001\u3053\u3053\u3067\u306f\u8a71\u3092\u5358\u7d14\u306b\u3059\u308b\u305f\u3081\u5272\u611b\uff09<\/p>\n\n\n\n<p>\u4f8b\u3068\u3057\u3066\u30012\u3064\u306e\u7fa4A\u3068B\u304c\u3042\u308a\u3001\u305d\u308c\u305e\u308c\u306e\u5e73\u5747\u5024\u306895%\u4fe1\u983c\u533a\u9593\u304c\u4ee5\u4e0b\u306e\u3068\u304a\u308a\u3060\u3063\u305f\u3068\u3059\u308b\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u7fa4A:<\/strong> \u5e73\u5747 = 10, 95%\u4fe1\u983c\u533a\u9593 = [8, 12]<\/li>\n\n\n\n<li><strong>\u7fa4B:<\/strong> \u5e73\u5747 = 13, 95%\u4fe1\u983c\u533a\u9593 = [11, 15]<\/li>\n<\/ul>\n\n\n\n<p>\u3053\u306e\u5834\u5408\u3001\u7fa4A\u306e\u4fe1\u983c\u533a\u9593\u306e\u4e0a\u9650(12)\u3068\u7fa4B\u306e\u4fe1\u983c\u533a\u9593\u306e\u4e0b\u9650(11)\u306f\u91cd\u306a\u3063\u3066\u3044\u308b\u3002\u3057\u304b\u3057\u30012\u3064\u306e\u5e73\u5747\u5024\u306e\u5dee\u306f 13\u221210=3 \u3067\u3042\u308b\u3002\u305d\u3057\u3066\u3001\u3053\u306e 3 \u306e95\uff05\u4fe1\u983c\u533a\u9593\u304c \u4e0b\u9650\u30fb\u4e0a\u9650\u3068\u30820\u3088\u308a\u5927\u304d\u3044\u3053\u3068\u306f\u3042\u308b\u3002<\/p>\n\n\n\n<p>2\u3064\u306e\u7fa4\u306e\u5e73\u5747\u5024\u306e\u5dee\u306e\u4fe1\u983c\u533a\u9593\u3092\u8003\u3048\u308b\u3068\u304d\u3001\u305d\u308c\u305e\u308c\u306e\u4fe1\u983c\u533a\u9593\u306e\u3070\u3089\u3064\u304d\u3060\u3051\u3067\u306a\u304f\u3001<strong>\u4e21\u8005\u306e\u72ec\u7acb\u6027\u3092\u8003\u616e<\/strong>\u306b\u5165\u308c\u308b\u5fc5\u8981\u304c\u3042\u308b\u3002\u3053\u308c\u306b\u3088\u308a\u3001\u5dee\u306e\u4fe1\u983c\u533a\u9593\u306f\u500b\u3005\u306e\u4fe1\u983c\u533a\u9593\u304c\u91cd\u306a\u3063\u3066\u3044\u308b\u5834\u5408\u3067\u3082\u3001\u30bc\u30ed\u3092\u307e\u305f\u304c\u306a\u3044\u3053\u3068\u304c\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u7c21\u5358\u306b\u8a00\u3048\u3070\u3001\u500b\u3005\u306e\u4fe1\u983c\u533a\u9593\u306f\u300c\u305d\u306e\u5e73\u5747\u5024\u304c\u3069\u306e\u7bc4\u56f2\u306b\u3042\u308a\u305d\u3046\u304b\u300d\u3092\u793a\u3057\u3066\u3044\u308b\u306e\u306b\u5bfe\u3057\u3001\u5dee\u306e\u4fe1\u983c\u533a\u9593\u306f\u300c2\u3064\u306e\u5e73\u5747\u5024\u306e<strong>\u5dee<\/strong>\u304c\u3069\u306e\u7bc4\u56f2\u306b\u3042\u308a\u305d\u3046\u304b\u300d\u3092\u793a\u3057\u3066\u304a\u308a\u3001\u3053\u306e2\u3064\u306f\u5168\u304f\u540c\u3058\u3082\u306e\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u7570\u306a\u308b\u5224\u65ad\u57fa\u6e96\u3092\u8981\u3059\u308b\u306e\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p>2\u7fa4\u306e\u5e73\u5747\u5024\u306e\u7d71\u8a08\u5b66\u7684\u6709\u610f\u5dee\u3092\u5224\u65ad\u3059\u308b\u4e0a\u3067\u3001\u305d\u308c\u305e\u308c\u306e\u7fa4\u306e95%\u4fe1\u983c\u533a\u9593\u304c\u91cd\u306a\u3063\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3060\u3051\u3067\u5224\u65ad\u3059\u308b\u3053\u3068\u306f\u3001\u7d71\u8a08\u5b66\u7684\u306b\u306f\u8aa4\u308a\u3067\u3042\u308b\u3002\u6b63\u3057\u3044\u5224\u65ad\u57fa\u6e96\u306f\u300c<strong>2\u7fa4\u9593\u306e\u5e73\u5747\u5024\u306e\u5dee\u306e95%\u4fe1\u983c\u533a\u9593\u304c\u30bc\u30ed\u3092\u307e\u305f\u3050\u304b\u3069\u3046\u304b<\/strong>\u300d\u3067\u3042\u308b\u3002\u3053\u306e\u70b9\u3092\u7406\u89e3\u3057\u3001\u9069\u5207\u306a\u7d71\u8a08\u7684\u5224\u65ad\u3092\u884c\u3046\u3053\u3068\u304c\u3001\u30c7\u30fc\u30bf\u306b\u57fa\u3065\u3044\u305f\u6b63\u78ba\u306a\u610f\u601d\u6c7a\u5b9a\u306b\u306f\u4e0d\u53ef\u6b20\u3067\u3042\u308b\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>2\u3064\u306e\u30b0\u30eb\u30fc\u30d7\u306e\u5e73\u5747\u5024\u3092\u6bd4\u8f03\u3059\u308b\u969b\u3001\u591a\u304f\u306e\u4eba\u304c\u305d\u308c\u305e\u308c\u306e\u5e73\u5747\u5024\u306e95%\u4fe1\u983c\u533a\u9593\u304c\u91cd\u306a\u3063\u3066\u3044\u308b\u304b\u3069\u3046\u304b\u3092\u898b\u3066\u3001\u300c\u7d71\u8a08\u5b66\u7684\u306b\u6709\u610f\u306a\u5dee\u304c\u3042\u308b\u304b\u300d\u3092\u5224\u65ad\u3057\u3088\u3046\u3068\u3059\u308b\u3002\u3057\u304b\u3057\u3001\u3053\u308c\u306f\u8aa4\u308a\u3067\u3042\u308b\u3002\u5b9f\u306f\u30012\u3064\u306e\u4fe1\u983c\u533a\u9593\u304c\u91cd\u306a\u3063\u3066\u3044\u305f\u3068 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