{"id":1232,"date":"2023-07-27T05:09:32","date_gmt":"2023-07-27T05:09:32","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%ad%a3%e6%80%81%e5%88%86%e5%b8%83%e4%b8%8e-t-%e5%88%86%e5%b8%83\/"},"modified":"2023-07-27T05:09:32","modified_gmt":"2023-07-27T05:09:32","slug":"%e6%ad%a3%e6%80%81%e5%88%86%e5%b8%83%e4%b8%8e-t-%e5%88%86%e5%b8%83","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%ad%a3%e6%80%81%e5%88%86%e5%b8%83%e4%b8%8e-t-%e5%88%86%e5%b8%83\/","title":{"rendered":"\u6b63\u6001\u5206\u5e03\u548c t \u5206\u5e03\uff1a\u6709\u4ec0\u4e48\u533a\u522b\uff1f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u6b63\u6001\u5206\u5e03<\/a>\u662f\u6240\u6709\u7edf\u8ba1\u4e2d\u6700\u5e38\u7528\u7684\u5206\u5e03\uff0c\u4f17\u6240\u5468\u77e5\uff0c\u5b83\u662f\u5bf9\u79f0\u7684\u3001\u949f\u5f62\u7684\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12187 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/norm_vs_t1.png\" alt=\"\" width=\"431\" height=\"394\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u4e00\u4e2a\u5bc6\u5207\u76f8\u5173\u7684\u5206\u5e03\u662f<strong>t \u5206\u5e03<\/strong>\uff0c\u5b83\u4e5f\u662f\u5bf9\u79f0\u7684\u3001\u949f\u5f62\u7684\uff0c\u4f46\u5b83\u7684\u201c\u5c3e\u5df4\u201d\u6bd4\u6b63\u6001\u5206\u5e03\u66f4\u91cd\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6362\u53e5\u8bdd\u8bf4\uff0c\u4e0e\u6b63\u6001\u5206\u5e03\u76f8\u6bd4\uff0c\u5206\u5e03\u4e2d\u4f4d\u4e8e\u672b\u7aef\u7684\u503c\u591a\u4e8e\u4f4d\u4e8e\u4e2d\u5fc3\u7684\u503c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12188 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/norm_vs_t2.png\" alt=\"\u6b63\u6001\u5206\u5e03\u4e0e t \u5206\u5e03\" width=\"444\" height=\"408\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7528\u7edf\u8ba1\u672f\u8bed\u6765\u8bf4\uff0c\u6211\u4eec\u4f7f\u7528\u4e00\u79cd\u79f0\u4e3a<strong>\u5cf0\u5ea6<\/strong>\u7684\u6307\u6807\u6765\u8861\u91cf\u5206\u5e03\u7684\u201c\u91cd\u5ea6\u201d\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u8bf4 t \u5206\u5e03\u7684\u5cf0\u5ea6\u5927\u4e8e\u6b63\u6001\u5206\u5e03\u7684\u5cf0\u5ea6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u5b9e\u8df5\u4e2d\uff0c\u6211\u4eec\u5728\u6267\u884c<a href=\"https:\/\/statorials.org\/cn\/\u5047\u8bbe\u68c0\u9a8c1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5047\u8bbe\u68c0\u9a8c<\/a>\u6216<a href=\"https:\/\/statorials.org\/cn\/\u7f6e\u4fe1\u533a\u95f4-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u6784\u5efa\u7f6e\u4fe1\u533a\u95f4<\/a>\u65f6\u6700\u5e38\u4f7f\u7528 t \u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u8ba1\u7b97\u603b\u4f53\u5e73\u5747\u503c\u7684\u7f6e\u4fe1\u533a\u95f4\u7684\u516c\u5f0f\u4e3a\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7f6e\u4fe1\u533a\u95f4 =<\/strong> <strong><span style=\"text-decoration: overline;\">x<\/span> +\/- t <sub>1-\u03b1\/2, n-1<\/sub> *(s\/\u221a <span style=\"text-decoration: overline;\">n<\/span> )<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> \uff1a<\/strong>\u6837\u672c\u5e73\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>t\uff1a<\/strong>\u4e34\u754c t \u503c\uff0c\u57fa\u4e8e\u663e\u7740\u6027\u6c34\u5e73<em>\u03b1<\/em>\u548c\u6837\u672c\u5927\u5c0f<em>n<\/em><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s\uff1a<\/strong>\u6837\u672c\u6807\u51c6\u5dee<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u6837\u672c\u91cf<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5728\u6b64\u516c\u5f0f\u4e2d\uff0c\u5f53\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\u4e4b\u4e00\u65f6\uff0c\u6211\u4eec\u4f7f\u7528\u8868 t \u7684\u4e34\u754c\u503c\u4ee3\u66ff\u8868 z \u7684\u4e34\u754c\u503c\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6211\u4eec\u4e0d\u77e5\u9053\u603b\u4f53\u6807\u51c6\u5dee\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6837\u672c\u91cf\u5c0f\u4e8e\u6216\u7b49\u4e8e30\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6d41\u7a0b\u56fe\u63d0\u4f9b\u4e86\u4e00\u79cd\u6709\u7528\u7684\u65b9\u6cd5\u6765\u4e86\u89e3\u662f\u5426\u5e94\u8be5\u4f7f\u7528\u8868 t \u6216\u8868 z \u4e2d\u7684\u4e34\u754c\u503c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4849 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/z_table_vs_t_table.jpg\" alt=\"\u8868 Z \u4e0e\u8868 t\" width=\"432\" height=\"271\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5728\u6784\u5efa\u7f6e\u4fe1\u533a\u95f4\u65f6\u4f7f\u7528t\u5206\u5e03\u548c\u4f7f\u7528\u6b63\u6001\u5206\u5e03\u7684\u4e3b\u8981\u533a\u522b\u5728\u4e8et\u5206\u5e03\u7684\u4e34\u754c\u503c\u4f1a\u66f4\u5927\uff0c\u5bfc\u81f4\u7f6e\u4fe1\u533a\u95f4<em>\u66f4\u5bbd<\/em>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u8981\u4e3a\u6d77\u9f9f\u79cd\u7fa4\u7684\u5e73\u5747\u4f53\u91cd\u6784\u5efa 95% \u7684\u7f6e\u4fe1\u533a\u95f4\uff0c\u4ee5\u4fbf\u6536\u96c6\u5177\u6709\u4ee5\u4e0b\u4fe1\u606f\u7684\u6d77\u9f9f\u968f\u673a\u6837\u672c\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6837\u672c\u91cf<strong>n = 25<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u5e73\u5747\u6837\u672c\u91cd\u91cf<strong>x = 300<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u6837\u672c\u6807\u51c6\u5dee<strong>s = 18.5<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">95% \u7f6e\u4fe1\u6c34\u5e73\u7684\u4e34\u754c z \u503c\u4e3a<strong>1.96<\/strong> \uff0c\u800c df = 25-1 = 24 \u81ea\u7531\u5ea6\u7684 95% \u7f6e\u4fe1\u533a\u95f4\u7684\u4e34\u754c t \u503c\u4e3a<strong>2.0639<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u4f7f\u7528 z \u4e34\u754c\u503c\u7684\u603b\u4f53\u5e73\u5747\u503c\u7684 95% \u7f6e\u4fe1\u533a\u95f4\u4e3a\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">95% CI = 300 +\/- 1.96*(18.5\/\u221a <span>25<\/span> ) = <strong>[292.75, 307.25]<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u800c\u4f7f\u7528 t \u4e34\u754c\u503c\u7684\u603b\u4f53\u5e73\u5747\u503c\u7684 95% \u7f6e\u4fe1\u533a\u95f4\u4e3a\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">95% CI = 300 +\/- 2.0639*(18.5\/\u221a25) = <strong>[292.36, 307.64]<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0ct \u4e34\u754c\u503c\u7684\u7f6e\u4fe1\u533a\u95f4\u66f4\u5bbd\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u91cc\u7684\u60f3\u6cd5\u662f\uff0c\u5f53\u6211\u4eec\u7684\u6837\u672c\u91cf\u8f83\u5c0f\u65f6\uff0c\u6211\u4eec\u4e0d\u592a\u786e\u5b9a\u771f\u5b9e\u7684\u603b\u4f53\u5e73\u5747\u503c\uff0c\u56e0\u6b64\u4f7f\u7528 t \u5206\u5e03\u6765\u751f\u6210\u66f4\u5bbd\u7684\u7f6e\u4fe1\u533a\u95f4\u5f88\u6709\u7528\uff0c\u8fd9\u6837\u66f4\u6709\u53ef\u80fd\u5305\u542b\u771f\u5b9e\u7684\u603b\u4f53\u5e73\u5747\u503c\u3002<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>t \u5206\u5e03\u81ea\u7531\u5ea6\u7684\u53ef\u89c6\u5316<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u968f\u7740\u81ea\u7531\u5ea6\u7684\u589e\u52a0\uff0ct \u5206\u5e03\u63a5\u8fd1\u6b63\u6001\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u8bf4\u660e\u8fd9\u4e00\u70b9\uff0c\u8bf7\u8003\u8651\u4e0b\u56fe\uff0c\u5b83\u663e\u793a\u4e86\u5177\u6709\u4ee5\u4e0b\u81ea\u7531\u5ea6\u7684 t \u5206\u5e03\u7684\u5f62\u72b6\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">df = 3<\/span><\/li>\n<li> <span style=\"color: #000000;\">df = 10<\/span><\/li>\n<li> <span style=\"color: #000000;\">df = 30<\/span> <\/li>\n<\/ul>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12193 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/norm_vs_t3.png\" alt=\"\u6b63\u6001\u5206\u5e03\u56fe\u6216 t \u5206\u5e03\u56fe\" width=\"470\" height=\"427\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u81ea\u7531\u5ea6\u8d85\u8fc7 30 \u5ea6\u540e\uff0ct \u5206\u5e03\u548c\u6b63\u6001\u5206\u5e03\u53d8\u5f97\u975e\u5e38\u76f8\u4f3c\uff0c\u4ee5\u81f3\u4e8e\u5728\u516c\u5f0f\u4e2d\u4f7f\u7528 t \u4e34\u754c\u503c\u548c z \u4e34\u754c\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u53ef\u4ee5\u5ffd\u7565\u4e0d\u8ba1\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6b63\u6001\u5206\u5e03\u662f\u6240\u6709\u7edf\u8ba1\u4e2d\u6700\u5e38\u7528\u7684\u5206\u5e03\uff0c\u4f17\u6240\u5468\u77e5\uff0c\u5b83\u662f\u5bf9\u79f0\u7684\u3001\u949f\u5f62\u7684\u3002 \u4e00\u4e2a\u5bc6\u5207\u76f8\u5173\u7684\u5206\u5e03\u662ft \u5206\u5e03\uff0c\u5b83\u4e5f\u662f\u5bf9\u79f0\u7684\u3001 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1232","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with 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