{"id":4907,"date":"2023-07-06T13:07:19","date_gmt":"2023-07-06T13:07:19","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e4%bf%a1%e9%a0%bc%e5%8c%ba%e9%96%93%e3%81%ae%e5%95%8f%e9%a1%8c%e4%be%8b\/"},"modified":"2023-07-06T13:07:19","modified_gmt":"2023-07-06T13:07:19","slug":"%e4%bf%a1%e9%a0%bc%e5%8c%ba%e9%96%93%e3%81%ae%e5%95%8f%e9%a1%8c%e4%be%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e4%bf%a1%e9%a0%bc%e5%8c%ba%e9%96%93%e3%81%ae%e5%95%8f%e9%a1%8c%e4%be%8b\/","title":{"rendered":"\u4fe1\u983c\u533a\u9593\u306e\u8a08\u7b97\u65b9\u6cd5: 3 \u3064\u306e\u554f\u984c\u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u5e73\u5747\u5024\u306e\u4fe1\u983c\u533a\u9593\u306f\u3001<\/strong>\u4e00\u5b9a\u306e\u4fe1\u983c\u30ec\u30d9\u30eb\u3067<a href=\"https:\/\/statorials.org\/ja\/\u30b5\u30f3\u30d5\u309a\u30eb\u5e73\u5747\u3068\u6bcd\u96c6\u56e3\u5e73\u5747\u3068\u306e\u6bd4\u8f03\/\" target=\"_blank\" rel=\"noopener\">\u6bcd\u96c6\u56e3\u5e73\u5747\u304c<\/a>\u542b\u307e\u308c\u308b\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u5024\u306e\u7bc4\u56f2\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u5e73\u5747\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4fe1\u983c\u533a\u9593 =<\/strong> <strong><span style=\"text-decoration: overline;\">x<\/span> +\/- t*(s\/\u221a <span style=\"text-decoration: overline;\">n<\/span> )<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> :<\/strong>\u30b5\u30f3\u30d7\u30eb\u5e73\u5747<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>t:<\/strong> t\u306e\u81e8\u754c\u5024<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>s:<\/strong>\u30b5\u30f3\u30d7\u30eb\u306e\u6a19\u6e96\u504f\u5dee<\/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;\"><strong>\u6ce8<\/strong>: \u6bcd\u96c6\u56e3\u306e\u6a19\u6e96\u504f\u5dee (\u03c3) \u304c\u65e2\u77e5\u3067<em>\u3001<\/em>\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba\u304c 30 \u3088\u308a\u5927\u304d\u3044\u5834\u5408\u306f\u3001\u5f0f\u5185\u306e at \u81e8\u754c\u5024\u3092 z \u81e8\u754c\u5024\u306b\u7f6e\u304d\u63db\u3048\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u30013 \u3064\u306e\u7570\u306a\u308b\u30b7\u30ca\u30ea\u30aa\u3067\u5e73\u5747\u306e\u4fe1\u983c\u533a\u9593\u3092\u69cb\u7bc9\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6bcd\u96c6\u56e3\u6a19\u6e96\u504f\u5dee (\u03c3) \u306f\u4e0d\u660e\u3067\u3059<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6bcd\u96c6\u56e3\u306e\u6a19\u6e96\u504f\u5dee (\u03c3) \u306f\u308f\u304b\u3063\u3066\u3044\u307e\u3059\u304c\u3001n \u2264 30<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6bcd\u96c6\u56e3\u306e\u6a19\u6e96\u504f\u5dee (\u03c3) \u304c\u65e2\u77e5\u3067\u3042\u308a\u3001n &gt; 30<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3055\u3042\u884c\u3053\u3046\uff01<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f8b 1: \u03c3 \u304c\u4e0d\u660e\u306a\u5834\u5408\u306e\u4fe1\u983c\u533a\u9593<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u7279\u5b9a\u306e\u690d\u7269\u7a2e\u306e\u5e73\u5747\u9ad8\u3055 (\u30a4\u30f3\u30c1\u5358\u4f4d) \u306e 95% \u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u60c5\u5831\u3092\u542b\u3080\u5358\u7d14\u306a\u7121\u4f5c\u70ba\u30b5\u30f3\u30d7\u30eb\u3092\u53ce\u96c6\u3059\u308b\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u5e73\u5747 ( <span style=\"text-decoration: overline;\">x<\/span> ) = 12<\/span><\/li>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba (n) = 19<\/span><\/li>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u6a19\u6e96\u504f\u5dee (\u79d2) = 6.3<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u3053\u306e\u4fe1\u983c\u533a\u9593\u3092\u69cb\u7bc9\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">95% CI = <span style=\"text-decoration: overline;\">x<\/span> +\/- t*(s\/\u221a <span style=\"text-decoration: overline;\">n<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">95% CI = 12 +\/- t <sub>n-1\u3001\u03b1\/2<\/sub> *(6.3\/\u221a <span style=\"text-decoration: overline;\">19<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">95% CI = 12 +\/- t <sub>18.025<\/sub> *(6.3\/\u221a <span style=\"text-decoration: overline;\">19<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">95% CI = 12 +\/- 2.1009*(6.3\/\u221a <span style=\"text-decoration: overline;\">19<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">95% CI = <strong>(8,964, 15,037)<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u7279\u5b9a\u306e\u690d\u7269\u7a2e\u306e\u500b\u4f53\u7fa4\u306e\u5e73\u5747\u9ad8\u3055\u306e 95% \u4fe1\u983c\u533a\u9593\u306f<strong>(8.964 \u30a4\u30f3\u30c1\u300115.037 \u30a4\u30f3\u30c1)<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8 #1<\/strong> : \u9006 t \u5206\u5e03\u8a08\u7b97\u30c4\u30fc\u30eb\u3092\u4f7f\u7528\u3057\u3066\u300118 \u306e\u81ea\u7531\u5ea6\u3068\u4fe1\u983c\u6c34\u6e96 0.95 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u81e8\u754c t \u5024\u3092\u898b\u3064\u3051\u307e\u3057\u305f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8 #2<\/strong> : \u6bcd\u96c6\u56e3\u306e\u6a19\u6e96\u504f\u5dee (\u03c3) \u304c\u4e0d\u660e\u3067\u3042\u308b\u305f\u3081\u3001\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u969b\u306b\u306f\u81e8\u754c\u5024 t \u3092\u4f7f\u7528\u3057\u307e\u3057\u305f\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f8b 2:<\/strong><\/span> <span style=\"color: #000000;\"><strong>\u03c3 \u306f\u308f\u304b\u3063\u3066\u3044\u308b\u304c n \u2264 30 \u306e\u5834\u5408\u306e\u4fe1\u983c\u533a\u9593<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u7279\u5b9a\u306e\u5927\u5b66\u5165\u5b66\u8a66\u9a13\u306e\u5e73\u5747\u70b9\u306e 99% \u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u60c5\u5831\u3092\u542b\u3080\u5358\u7d14\u306a\u7121\u4f5c\u70ba\u30b5\u30f3\u30d7\u30eb\u3092\u53ce\u96c6\u3059\u308b\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u5e73\u5747 ( <span style=\"text-decoration: overline;\">x<\/span> ) = 85<\/span><\/li>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba (n) = 25<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6bcd\u96c6\u56e3\u6a19\u6e96\u504f\u5dee (\u03c3) = 3.5<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u3053\u306e\u4fe1\u983c\u533a\u9593\u3092\u69cb\u7bc9\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">99% CI = <span style=\"text-decoration: overline;\">x<\/span> +\/- t*(s\/\u221a <span style=\"text-decoration: overline;\">n<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">99% CI = 85 +\/- t <sub>n-1\u3001\u03b1\/2<\/sub> *(3.5\/\u221a <span style=\"text-decoration: overline;\">25<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">99% CI = 85 +\/- t <sub>24.005<\/sub> *(3.5\/\u221a <span style=\"text-decoration: overline;\">25<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">99% CI = 85 +\/- 2.7969*(3.5\/\u221a <span style=\"text-decoration: overline;\">25<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">99% CI = <strong>(83.042, 86.958)<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u5927\u5b66\u5165\u5b66\u8a66\u9a13\u306b\u304a\u3051\u308b\u6bcd\u96c6\u56e3\u306e\u5e73\u5747\u30b9\u30b3\u30a2\u306e 99% \u4fe1\u983c\u533a\u9593\u306f<strong>(83.042, 86.958)<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8 #1<\/strong> : \u9006 t \u5206\u5e03\u8a08\u7b97\u30c4\u30fc\u30eb\u3092\u4f7f\u7528\u3057\u3066\u300124 \u306e\u81ea\u7531\u5ea6\u3068\u4fe1\u983c\u6c34\u6e96 0.99 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u81e8\u754c t \u5024\u3092\u898b\u3064\u3051\u307e\u3057\u305f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8 #2<\/strong> : \u6bcd\u96c6\u56e3\u306e\u6a19\u6e96\u504f\u5dee (\u03c3) \u306f\u308f\u304b\u3063\u3066\u3044\u307e\u3057\u305f\u304c\u3001\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba (n) \u304c 30 \u672a\u6e80\u3067\u3042\u3063\u305f\u305f\u3081\u3001\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u306b\u81e8\u754c\u5024 t \u3092\u4f7f\u7528\u3057\u307e\u3057\u305f\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f8b 3:<\/strong><\/span> <span style=\"color: #000000;\"><strong>\u03c3 \u304c\u65e2\u77e5\u3067\u3001n &gt; 30 \u306e\u5834\u5408\u306e\u4fe1\u983c\u533a\u9593<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u7279\u5b9a\u306e\u7a2e\u306e\u30ab\u30e1\u306e\u5e73\u5747\u4f53\u91cd\u306e 90% \u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u60c5\u5831\u3092\u542b\u3080\u5358\u7d14\u306a\u7121\u4f5c\u70ba\u30b5\u30f3\u30d7\u30eb\u3092\u53ce\u96c6\u3059\u308b\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u5e73\u5747 ( <span style=\"text-decoration: overline;\">x<\/span> ) = 300<\/span><\/li>\n<li><span style=\"color: #000000;\">\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba (n) = 40<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6bcd\u96c6\u56e3\u6a19\u6e96\u504f\u5dee (\u03c3) = 15<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u3001\u3053\u306e\u4fe1\u983c\u533a\u9593\u3092\u69cb\u7bc9\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">90% CI = <span style=\"text-decoration: overline;\">x<\/span> +\/- z*(\u03c3\/\u221a <span style=\"text-decoration: overline;\">n<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">90% CI = 300 +\/- 1.645*(15\/\u221a <span style=\"text-decoration: overline;\">40<\/span> )<\/span><\/li>\n<li> <span style=\"color: #000000;\">90% CI = <strong>(296,099, 303,901)<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u3053\u306e\u7279\u5b9a\u306e\u30ab\u30e1\u7a2e\u306e\u5e73\u5747\u500b\u4f53\u7fa4\u4f53\u91cd\u306e 90% \u4fe1\u983c\u533a\u9593\u306f<strong>(83.042, 86.958)<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8 #1<\/strong> : \u81e8\u754c Z \u5024\u8a08\u7b97\u30c4\u30fc\u30eb\u3092\u4f7f\u7528\u3057\u3066\u3001\u6709\u610f\u6c34\u6e96 0.1 \u306b\u95a2\u9023\u4ed8\u3051\u3089\u308c\u305f\u81e8\u754c Z \u5024\u3092\u898b\u3064\u3051\u307e\u3057\u305f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8 #2<\/strong> : \u6bcd\u96c6\u56e3\u306e\u6a19\u6e96\u504f\u5dee (\u03c3) \u306f\u65e2\u77e5\u3067\u3042\u308a\u3001\u30b5\u30f3\u30d7\u30eb \u30b5\u30a4\u30ba (n) \u306f 30 \u3088\u308a\u5927\u304d\u304b\u3063\u305f\u305f\u3081\u3001\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3059\u308b\u3068\u304d\u306b\u81e8\u754c\u5024 z \u3092\u4f7f\u7528\u3057\u307e\u3057\u305f\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001\u4fe1\u983c\u533a\u9593\u306b\u95a2\u3059\u308b\u8ffd\u52a0\u60c5\u5831\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ja\/\u4fe1\u983c\u533a\u9593\u306e\u5b9f\u969b\u306e\u4f8b\/\" target=\"_blank\" rel=\"noopener\">\u5b9f\u751f\u6d3b\u306b\u304a\u3051\u308b\u4fe1\u983c\u533a\u9593\u306e 4 \u3064\u306e\u4f8b<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u4fe1\u983c\u533a\u9593\u306e\u7d50\u8ad6\u306e\u66f8\u304d\u65b9\/\" target=\"_blank\" rel=\"noopener\">\u4fe1\u983c\u533a\u9593\u306e\u7d50\u8ad6\u306e\u66f8\u304d\u65b9<\/a><br \/>\u78ba\u8a8d\u3059\u3079\u304d 6 \u3064\u306e\u4fe1\u983c\u533a\u9593\u4eee\u8aac<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5e73\u5747\u5024\u306e\u4fe1\u983c\u533a\u9593\u306f\u3001\u4e00\u5b9a\u306e\u4fe1\u983c\u30ec\u30d9\u30eb\u3067\u6bcd\u96c6\u56e3\u5e73\u5747\u304c\u542b\u307e\u308c\u308b\u53ef\u80fd\u6027\u304c\u9ad8\u3044\u5024\u306e\u7bc4\u56f2\u3067\u3059\u3002 \u6b21\u306e\u5f0f\u3092\u4f7f\u7528\u3057\u3066\u5e73\u5747\u306e\u4fe1\u983c\u533a\u9593\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 \u4fe1\u983c\u533a\u9593 = x +\/- t*(s\/\u221a n ) \u91d1\uff1a x :\u30b5\u30f3\u30d7\u30eb\u5e73\u5747 t: 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