{"id":1355,"date":"2023-07-26T17:53:35","date_gmt":"2023-07-26T17:53:35","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e4%ba%ba%e5%8f%a3%e3%81%ab%e5%8d%a0%e3%82%81%e3%82%8b%e5%89%b2%e5%90%88\/"},"modified":"2023-07-26T17:53:35","modified_gmt":"2023-07-26T17:53:35","slug":"%e4%ba%ba%e5%8f%a3%e3%81%ab%e5%8d%a0%e3%82%81%e3%82%8b%e5%89%b2%e5%90%88","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e4%ba%ba%e5%8f%a3%e3%81%ab%e5%8d%a0%e3%82%81%e3%82%8b%e5%89%b2%e5%90%88\/","title":{"rendered":"\u4eba\u53e3\u6bd4\u7387\u3068\u306f\u4f55\u3067\u3059\u304b?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u7d71\u8a08\u306b\u304a\u3044\u3066\u3001<strong>\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u3068\u306f<\/strong>\u3001 <a href=\"https:\/\/statorials.org\/ja\/\u6bcd\u96c6\u56e3\u3068\u30b5\u30f3\u30d5\u309a\u30eb-1\/\" target=\"_blank\" rel=\"noopener\">\u6bcd\u96c6\u56e3<\/a>\u5185\u306e\u7279\u5b9a\u306e\u7279\u5fb4\u3092\u6301\u3064\u500b\u4eba\u306e\u5272\u5408\u3092\u6307\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u3042\u308b\u90fd\u5e02\u306e\u4f4f\u6c11\u306e 43.8% \u304c\u65b0\u3057\u3044\u6cd5\u5f8b\u3092\u652f\u6301\u3057\u3066\u3044\u308b\u3068\u3057\u307e\u3059\u3002\u5024<strong>0.438<\/strong>\u306f\u4eba\u53e3\u6bd4\u7387\u3092\u8868\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4eba\u53e3\u6bd4\u7387\u306e\u8a08\u7b97\u5f0f<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u306f\u5e38\u306b 0 \uff5e 1 (\u307e\u305f\u306f\u30d1\u30fc\u30bb\u30f3\u30c6\u30fc\u30b8\u3068\u3057\u3066 0% \uff5e 100%) \u306e\u9593\u3067\u3042\u308a\u3001\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p> <strong>p = X \/ N<\/strong><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p:<\/strong>\u4eba\u53e3\u306b\u5360\u3081\u308b\u5272\u5408<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>X:<\/strong>\u96c6\u56e3\u5185\u306e\u7279\u5b9a\u306e\u7279\u6027\u3092\u6301\u3064\u500b\u4eba\u306e\u6570\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong>\u96c6\u56e3\u5185\u306e\u500b\u4f53\u306e\u7dcf\u6570\u3002<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u4eba\u53e3\u6bd4\u7387\u3092\u63a8\u5b9a\u3059\u308b\u65b9\u6cd5<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4e00\u822c\u306b\u3001\u6bcd\u96c6\u56e3\u5185\u306e\u5404\u500b\u4eba\u306e\u30c7\u30fc\u30bf\u3092\u53ce\u96c6\u3059\u308b\u306b\u306f\u6642\u9593\u3068\u30b3\u30b9\u30c8\u304c\u304b\u304b\u308a\u3059\u304e\u308b\u305f\u3081\u3001\u30b5\u30f3\u30d7\u30eb\u306e\u30c7\u30fc\u30bf\u3092\u53ce\u96c6\u3059\u308b\u3053\u3068\u304c\u3088\u304f\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u7279\u5b9a\u306e\u90fd\u5e02\u306e\u4f4f\u6c11\u306e\u4f55\u30d1\u30fc\u30bb\u30f3\u30c8\u304c\u65b0\u3057\u3044\u6cd5\u5f8b\u3092\u652f\u6301\u3057\u3066\u3044\u308b\u304b\u3092\u77e5\u308a\u305f\u3044\u3068\u3057\u307e\u3059\u3002\u4eba\u53e3\u304c\u5408\u8a08 50,000 \u4eba\u306e\u4f4f\u6c11\u3067\u69cb\u6210\u3055\u308c\u3066\u3044\u308b\u5834\u5408\u30011,000 \u4eba\u306e\u4f4f\u6c11\u304b\u3089 <a href=\"https:\/\/statorials.org\/ja\/\u30b5\u30f3\u30d5\u309a\u30ea\u30f3\u30af\u3099\u65b9\u6cd5\/\" target=\"_blank\" rel=\"noopener\">\u5358\u7d14\u306a\u7121\u4f5c\u70ba\u30b5\u30f3\u30d7\u30eb<\/a>\u3092\u53d6\u5f97\u3067\u304d\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12212 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pop_vs_sample3.png\" alt=\"\" width=\"381\" height=\"514\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u30b5\u30f3\u30d7\u30eb\u306e\u5272\u5408\u3092\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">p\u0302 = x \/ n<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p\u0302:<\/strong>\u30b5\u30f3\u30d7\u30eb\u306e\u5272\u5408<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>x:<\/strong>\u30b5\u30f3\u30d7\u30eb\u5185\u3067\u7279\u5b9a\u306e\u7279\u5fb4\u3092\u6301\u3064\u500b\u4f53\u306e\u6570\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong>\u30b5\u30f3\u30d7\u30eb\u5185\u306e\u500b\u4f53\u306e\u7dcf\u6570\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u3053\u306e\u30b5\u30f3\u30d7\u30eb\u6bd4\u7387\u3092\u4f7f\u7528\u3057\u3066\u6bcd\u96c6\u56e3\u6bd4\u7387\u3092<em>\u63a8\u5b9a\u3057\u307e\u3059<\/em>\u3002\u305f\u3068\u3048\u3070\u3001\u30b5\u30f3\u30d7\u30eb\u306e\u4f4f\u6c11 1,000 \u4eba\u306e\u3046\u3061 367 \u4eba\u304c\u65b0\u3057\u3044\u6cd5\u5f8b\u3092\u652f\u6301\u3057\u305f\u5834\u5408\u3001\u30b5\u30f3\u30d7\u30eb\u306e\u5272\u5408\u306f\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059: 367\/1,000 = <strong>0.367<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3057\u305f\u304c\u3063\u3066\u3001\u4eba\u53e3\u306b\u5360\u3081\u308b\u3053\u306e\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u4f4f\u6c11\u306e\u5272\u5408\u306e\u6700\u826f\u306e\u63a8\u5b9a\u5024\u306f<strong>0.367 \u306b\u306a\u308a\u307e\u3059<\/strong>\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u306e\u5272\u5408\u304b\u3089\u771f\u306e\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u306e\u63a8\u5b9a\u5024\u306f\u5f97\u3089\u308c\u307e\u3059\u304c\u3001\u30b5\u30f3\u30d7\u30eb\u306e\u5272\u5408\u304c\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u3068\u6b63\u78ba\u306b\u4e00\u81f4\u3059\u308b\u3068\u3044\u3046\u4fdd\u8a3c\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u305f\u3081\u3001\u4e00\u822c\u306b\u4fe1\u983c\u533a\u9593\u3001\u3064\u307e\u308a\u9ad8\u3044\u4fe1\u983c\u5ea6\u3067\u6bcd\u96c6\u56e3\u306e\u771f\u306e\u5272\u5408\u3092\u542b\u3080\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u5024\u306e\u7bc4\u56f2\u3092\u69cb\u7bc9\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u4fe1\u983c\u533a\u9593\u306e\u5272\u5408\/\" target=\"_blank\" rel=\"noopener\">\u6bcd\u96c6\u56e3\u6bd4\u7387\u306e\u4fe1\u983c\u533a\u9593<\/a>\u3092\u8a08\u7b97\u3059\u308b\u5f0f\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4fe1\u983c\u533a\u9593 = p\u0302<\/strong> <strong>+\/- z*\u221a <span style=\"text-decoration: overline;\">p\u0302(1-p\u0302) \/ n<\/span><\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p\u0302:<\/strong>\u30b5\u30f3\u30d7\u30eb\u306e\u5272\u5408<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>z:<\/strong>\u9078\u629e\u3055\u308c\u305f Z \u5024<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n:<\/strong>\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u3059\u308b Z \u5024\u306f\u3001\u9078\u629e\u3057\u305f\u4fe1\u983c\u30ec\u30d9\u30eb\u306b\u3088\u3063\u3066\u7570\u306a\u308a\u307e\u3059\u3002\u6b21\u306e\u8868\u306f\u3001\u6700\u3082\u4e00\u822c\u7684\u306a\u4fe1\u983c\u6c34\u6e96\u306e\u9078\u629e\u80a2\u306b\u5bfe\u5fdc\u3059\u308b Z \u5024\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>\u81ea\u4fe1\u306e\u30ec\u30d9\u30eb<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"><span style=\"color: #000000;\"><strong>Z\u5024<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"><span style=\"color: #000000;\">0.90<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1,645<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0.95<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1.96<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0.99<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2.58<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span style=\"color: #000000;\">\u3088\u308a\u9ad8\u3044\u4fe1\u983c\u6c34\u6e96\u306f\u3088\u308a\u5927\u304d\u306a Z \u5024\u306b\u5bfe\u5fdc\u3057\u3001\u3088\u308a\u5e83\u3044\u4fe1\u983c\u533a\u9593\u306b\u3064\u306a\u304c\u308b\u3053\u3068\u306b\u6ce8\u610f\u3057\u3066\u304f\u3060\u3055\u3044\u3002\u3053\u308c\u306f\u3001\u305f\u3068\u3048\u3070\u3001\u540c\u3058\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3067\u306f 95% \u4fe1\u983c\u533a\u9593\u304c 90% \u4fe1\u983c\u533a\u9593\u3088\u308a\u3082\u5e83\u3044\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b: \u6bcd\u96c6\u56e3\u306e\u5272\u5408\u306e\u4fe1\u983c\u533a\u9593<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u7279\u5b9a\u306e\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u90fd\u5e02\u306e\u4f4f\u6c11\u306e\u5272\u5408\u3092\u63a8\u5b9a\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002\u79c1\u305f\u3061\u306f\u4f4f\u6c11 100 \u4eba\u306e\u30b5\u30f3\u30d7\u30eb\u3092\u7121\u4f5c\u70ba\u306b\u9078\u3073\u3001\u6cd5\u5f8b\u306b\u5bfe\u3059\u308b\u5f7c\u3089\u306e\u7acb\u5834\u3092\u5c0b\u306d\u307e\u3057\u305f\u3002\u7d50\u679c\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba<strong>n = 100<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u6cd5\u5f8b\u3092\u652f\u6301\u3059\u308b\u5272\u5408<strong>p\u0302<\/strong> <strong>= 0.56<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6bcd\u6bd4\u7387\u306e\u3055\u307e\u3056\u307e\u306a\u4fe1\u983c\u533a\u9593\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>90% \u4fe1\u983c\u533a\u9593:<\/strong> 0.56 +\/- 1.645*(\u221a <span style=\"text-decoration: overline;\">0.56(1-0.56) \/ 100<\/span> ) = <strong>[0.478, 0.642]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>95% \u4fe1\u983c\u533a\u9593:<\/strong> 0.56 +\/- 1.96*(\u221a <span style=\"text-decoration: overline;\">0.56(1-0.56) \/ 100<\/span> ) = <strong>[0.463, 0.657]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>99% \u4fe1\u983c\u533a\u9593:<\/strong> 0.56 +\/- 2.58*(\u221a <span style=\"text-decoration: overline;\">0.56(1-0.56) \/ 100<\/span> ) = <strong>[0.432, 0.688]<\/strong><\/span><\/p>\n<p><em><span style=\"color: #000000;\"><strong>\u6ce8:<\/strong>\u3053\u308c\u3089\u306e\u4fe1\u983c\u533a\u9593\u306f<a href=\"https:\/\/statorials.org\/ja\/\u4fe1\u983c\u533a\u9593\u6bd4\u7387\u8a08\u7b97\u6a5f\/\" target=\"_blank\" rel=\"noopener\">\u3001\u300c\u6bd4\u7387\u306e\u4fe1\u983c\u533a\u9593\u8a08\u7b97\u30c4\u30fc\u30eb<\/a>\u300d\u3092\u4f7f\u7528\u3057\u3066\u898b\u3064\u3051\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002<\/span><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7d71\u8a08\u306b\u304a\u3044\u3066\u3001\u6bcd\u96c6\u56e3\u306e\u5272\u5408\u3068\u306f\u3001 \u6bcd\u96c6\u56e3\u5185\u306e\u7279\u5b9a\u306e\u7279\u5fb4\u3092\u6301\u3064\u500b\u4eba\u306e\u5272\u5408\u3092\u6307\u3057\u307e\u3059\u3002 \u305f\u3068\u3048\u3070\u3001\u3042\u308b\u90fd\u5e02\u306e\u4f4f\u6c11\u306e 43.8% \u304c\u65b0\u3057\u3044\u6cd5\u5f8b\u3092\u652f\u6301\u3057\u3066\u3044\u308b\u3068\u3057\u307e\u3059\u3002\u50240.438\u306f\u4eba\u53e3\u6bd4\u7387\u3092\u8868\u3057\u307e\u3059\u3002 \u4eba\u53e3\u6bd4\u7387\u306e\u8a08\u7b97\u5f0f \u6bcd\u96c6\u56e3 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