{"id":528,"date":"2023-07-29T14:56:51","date_gmt":"2023-07-29T14:56:51","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e9%9f%a6%e5%b0%94%e5%a5%87t%e6%a3%80%e9%aa%8c\/"},"modified":"2023-07-29T14:56:51","modified_gmt":"2023-07-29T14:56:51","slug":"%e9%9f%a6%e5%b0%94%e5%a5%87t%e6%a3%80%e9%aa%8c","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e9%9f%a6%e5%b0%94%e5%a5%87t%e6%a3%80%e9%aa%8c\/","title":{"rendered":"\u97e6\u5c14\u5947 t \u68c0\u9a8c\uff1a\u4f55\u65f6\u4f7f\u7528 + \u793a\u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5f53\u6211\u4eec\u60f3\u8981\u6bd4\u8f83\u4e24\u4e2a\u72ec\u7acb\u7ec4\u7684\u5747\u503c\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u9009\u62e9\u4f7f\u7528\u4e24\u79cd\u4e0d\u540c\u7684\u68c0\u9a8c\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5b66\u751f t \u68c0\u9a8c\uff1a<\/strong>\u6b64\u68c0\u9a8c\u5047\u8bbe\u4e24\u7ec4\u6570\u636e\u662f\u4ece\u9075\u5faa<a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u6b63\u6001\u5206\u5e03\u7684<\/a>\u603b\u4f53\u4e2d\u62bd\u6837\u7684\uff0c\u5e76\u4e14\u8fd9\u4e24\u4e2a\u603b\u4f53\u5177\u6709\u76f8\u540c\u7684\u65b9\u5dee\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Welch \u7684 t \u68c0\u9a8c\uff1a<\/strong>\u8be5\u68c0\u9a8c\u5047\u8bbe\u4e24\u7ec4\u6570\u636e\u90fd\u662f\u4ece\u670d\u4ece\u6b63\u6001\u5206\u5e03\u7684\u603b\u4f53\u4e2d\u91c7\u6837\u7684\uff0c<em>\u4f46\u5e76\u4e0d\u5047\u8bbe\u8fd9\u4e24\u4e2a\u603b\u4f53\u5177\u6709\u76f8\u540c\u7684\u65b9\u5dee<\/em>\u3002<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Student t \u68c0\u9a8c\u548c Welch t \u68c0\u9a8c\u4e4b\u95f4\u7684\u5dee\u5f02<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\">Student t \u68c0\u9a8c\u548c Welch t \u68c0\u9a8c\u7684\u6267\u884c\u65b9\u5f0f\u6709\u4e24\u4e2a\u4e0d\u540c\u4e4b\u5904\uff1a<\/span><\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><span style=\"color: #000000;\"><strong>\u68c0\u9a8c\u7edf\u8ba1\u91cf<\/strong><\/span><\/span><\/li>\n<li><span style=\"color: #000000;\"><span style=\"color: #000000;\"><strong>\u81ea\u7531\u7a0b\u5ea6<\/strong><\/span><\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u5b66\u751f t \u68c0\u9a8c\uff1a<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff1a(<\/strong> <span style=\"border-top: 1px solid black;\">x<\/span> <sub>1<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">x<\/span> <sub>2<\/sub> ) \/ s <sub>p<\/sub> (\u221a <span style=\"border-top: 1px solid black;\">1\/n <sub>1<\/sub> + 1\/n <sub>2<\/sub><\/span> )<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5176\u4e2d<span style=\"border-top: 1px solid black;\">x<\/span> <sub>1<\/sub>\u548c<span style=\"border-top: 1px solid black;\">x<\/span> <sub>2<\/sub>\u662f\u6837\u672c\u5747\u503c\uff0cn <sub>1<\/sub>\u548c n <sub>2<\/sub>\u5206\u522b\u662f\u6837\u672c 1 \u548c\u6837\u672c 2 \u7684\u6837\u672c\u91cf\uff0c\u5176\u4e2d s <sub>p<\/sub>\u8ba1\u7b97\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">s <sub>p<\/sub><\/span> = <span style=\"color: #000000;\">\u221a <span style=\"border-top: 1px solid black;\">(n <sub>1<\/sub> -1)s <sub>1<\/sub> <sup>2<\/sup> + (n <sub>2<\/sub> -1)s <sub>2<\/sub> <sup>2<\/sup> \/ (n <sub>1<\/sub> +n <sub>2<\/sub> -2)<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5176\u4e2d s <sub>1<\/sub> <sup>2<\/sup>\u548c s <sub>2<\/sub> <sup>2<\/sup>\u662f\u6837\u672c\u65b9\u5dee\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u81ea\u7531\u5ea6\uff1a<\/strong> n <sub>1<\/sub> + n <sub>2<\/sub> \u2013 2<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u97e6\u5c14\u5947\u7684 T \u68c0\u9a8c<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\"><strong>\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff1a(<\/strong> <span style=\"border-top: 1px solid black;\">x<\/span> <sub>1<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">x<\/span> <sub>2<\/sub> ) \/ (\u221a <span style=\"border-top: 1px solid black;\">s <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> + s <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub><\/span> )<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u81ea\u7531\u5ea6\uff1a<\/strong><\/span> <span style=\"color: #000000;\">(s <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> + s <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub> ) <sup>2<\/sup> \/ { [ (s <sub>1<\/sub> <sup>2<\/sup> \/ n <sub>1<\/sub> ) <sup>2<\/sup> \/ (n <sub>1<\/sub> \u2013 1) ] + [ (s <sub>2<\/sub> <sup>2<\/sup> \/ n <sub>2<\/sub> ) <sup>2<\/sup> \/ (n <sub>2<\/sub> \u2013 1) ] }<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8ba1\u7b97\u97e6\u5c14\u5947 t \u68c0\u9a8c\u81ea\u7531\u5ea6\u7684\u516c\u5f0f\u8003\u8651\u4e86\u4e24\u4e2a\u6807\u51c6\u5dee\u4e4b\u95f4\u7684\u5dee\u5f02\u3002\u5982\u679c\u4e24\u4e2a<a href=\"https:\/\/statorials.org\/cn\/\u603b\u4f53\u4e0e\u6837\u672c\/\" target=\"_blank\" rel=\"noopener\">\u6837\u672c<\/a>\u5177\u6709\u76f8\u540c\u7684\u6807\u51c6\u5dee\uff0c\u5219 Welch t \u68c0\u9a8c\u7684\u81ea\u7531\u5ea6\u5c06\u4e0e Student t \u68c0\u9a8c\u7684\u81ea\u7531\u5ea6\u5b8c\u5168\u76f8\u540c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u901a\u5e38\uff0c\u4e24\u4e2a\u6837\u672c\u7684\u6807\u51c6\u5dee\u4e0d\u76f8\u540c\uff0c\u56e0\u6b64 Welch t \u68c0\u9a8c\u7684\u81ea\u7531\u5ea6\u5f80\u5f80\u5c0f\u4e8e Student t \u68c0\u9a8c\u7684\u81ea\u7531\u5ea6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd8\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u97e6\u5c14\u5947 t \u68c0\u9a8c\u4e2d\u7684\u81ea\u7531\u5ea6\u901a\u5e38\u4e0d\u662f\u6574\u6570\u3002\u5982\u679c\u60a8\u624b\u52a8\u6d4b\u8bd5\uff0c\u6700\u597d\u56db\u820d\u4e94\u5165\u5230\u6700\u5c0f\u7684\u6574\u6570\u3002\u5982\u679c\u60a8\u4f7f\u7528<em>R<\/em>\u7b49\u7edf\u8ba1\u8f6f\u4ef6\uff0c\u8be5\u8f6f\u4ef6\u5c06\u80fd\u591f\u63d0\u4f9b\u81ea\u7531\u5ea6\u7684\u5341\u8fdb\u5236\u503c\u3002<\/span><\/p>\n<h2><strong><span style=\"color: #000000;\">\u4ec0\u4e48\u65f6\u5019\u5e94\u8be5\u4f7f\u7528\u97e6\u5c14\u5947 t \u68c0\u9a8c\uff1f<\/span><\/strong><\/h2>\n<p><span style=\"color: #000000;\">\u6709\u4e9b\u4eba\u8ba4\u4e3a\uff0c <a href=\"https:\/\/daniellakens.blogspot.com\/2015\/01\/always-use-welchs-t-test-instead-of.html\" target=\"_blank\" rel=\"noopener noreferrer\">\u97e6\u5c14\u5947 t \u68c0\u9a8c\u5e94\u8be5\u662f\u6bd4\u8f83\u4e24\u4e2a\u72ec\u7acb\u7ec4\u5747\u503c\u7684\u9ed8\u8ba4\u9009\u62e9<\/a>\uff0c\u56e0\u4e3a\u5f53\u7ec4\u95f4\u6837\u672c\u91cf\u548c\u65b9\u5dee\u4e0d\u76f8\u7b49\u65f6\uff0c\u5b83\u6bd4\u5b66\u751f t \u68c0\u9a8c\u8868\u73b0\u66f4\u597d\uff0c\u5e76\u4e14\u5f53\u6837\u672c\u91cf\u4e0d\u540c\u65f6\uff0c\u5b83\u7ed9\u51fa\u76f8\u540c\u7684\u7ed3\u679c\u662f\u4e0d\u540c\u7684\u3002\u5dee\u5f02\u662f\u76f8\u7b49\u7684\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5b9e\u9645\u4e0a\uff0c\u5f53\u60a8\u6bd4\u8f83\u4e24\u7ec4\u7684\u5747\u503c\u65f6\uff0c\u6bcf\u7ec4\u7684\u6807\u51c6\u5dee\u4e0d\u592a\u53ef\u80fd\u76f8\u540c\u3002\u56e0\u6b64\uff0c\u6700\u597d\u59cb\u7ec8\u4f7f\u7528\u97e6\u5c14\u5947\u7684 t \u68c0\u9a8c\uff0c\u8fd9\u6837\u60a8\u5c31\u4e0d\u5fc5\u5bf9\u65b9\u5dee\u9f50\u6027\u505a\u51fa\u5047\u8bbe\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f7f\u7528\u97e6\u5c14\u5947 t \u68c0\u9a8c\u7684\u793a\u4f8b<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u5bf9\u4ee5\u4e0b\u4e24\u4e2a\u6837\u672c\u8fdb\u884c Welch t \u68c0\u9a8c\uff0c\u4ee5\u786e\u5b9a\u5b83\u4eec\u7684\u603b\u4f53\u5747\u503c\u662f\u5426\u5728 0.05 \u663e\u7740\u6027\u6c34\u5e73\u4e0a\u5b58\u5728\u663e\u7740\u5dee\u5f02\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6837\u54c1 1:<\/strong> 14, 15, 15, 15, 16, 18, 22, 23, 24, 25, 25<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6837\u54c1 2:<\/strong> 10, 12, 14, 15, 18, 22, 24, 27, 31, 33, 34, 34, 34<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u5c06\u8bf4\u660e\u5982\u4f55\u4ee5\u4e09\u79cd\u4e0d\u540c\u7684\u65b9\u5f0f\u6267\u884c\u6d4b\u8bd5\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u7528\u624b<\/span><\/li>\n<li><span style=\"color: #000000;\">\u4f7f\u7528\u5fae\u8f6fExcel<\/span><\/li>\n<li><span style=\"color: #000000;\">\u4f7f\u7528<em>R<\/em>\u7edf\u8ba1\u7f16\u7a0b\u8bed\u8a00<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u97e6\u5c14\u5947\u624b\u52a8 T \u68c0\u9a8c<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u8981\u624b\u52a8\u6267\u884c\u97e6\u5c14\u5947 t \u68c0\u9a8c\uff0c\u6211\u4eec\u9996\u5148\u9700\u8981\u627e\u5230\u6837\u672c\u5747\u503c\u3001\u6837\u672c\u65b9\u5dee\u548c\u6837\u672c\u5927\u5c0f\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x1<\/span> <sub>\u2013<\/sub><\/strong> 19.27<br \/><\/span> <span style=\"color: #000000;\"><strong><span style=\"border-top: 1px solid black;\">x2<\/span> <sub>\u2013<\/sub><\/strong> 23.69<br \/>\u4e0b\u5348<strong><sub>1<\/sub> <sup>2<\/sup><\/strong> \u2013 8:42<br \/><\/span><span style=\"color: #000000;\"><strong>\u7b2c<sub>2<\/sub>\u6761<sup>2<\/sup><\/strong> \u2013 83.23<br \/> <strong>\uff03<\/strong> <sub><strong>1<\/strong><\/sub> \u2013 11 <strong><br \/>\uff03<\/strong> <sub><strong>2<\/strong><\/sub> \u2013 13<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u540e\u6211\u4eec\u53ef\u4ee5\u8f93\u5165\u8fd9\u4e9b\u6570\u5b57\u6765\u67e5\u627e\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff1a(<\/strong> <span style=\"border-top: 1px solid black;\">x <sub>1<\/sub><\/span> \u2013 <span style=\"border-top: 1px solid black;\">x <sub>2<\/sub><\/span> ) \/ (\u221a <span style=\"border-top: 1px solid black;\">s <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> + s <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub><\/span> )<\/span><\/p>\n<p><span style=\"color: #000000;\">\u68c0\u9a8c\u7edf\u8ba1\u91cf\uff1a(19.27 \u2013 23.69) \/ (\u221a <span style=\"border-top: 1px solid black;\">20.42\/11 + 83.23\/13<\/span> ) = -4.42 \/ 2.873 = <strong>-1.538<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u81ea\u7531\u5ea6\uff1a<\/strong> (s <sub>1<\/sub> <sup>2<\/sup> \/n <sub>1<\/sub> + s <sub>2<\/sub> <sup>2<\/sup> \/n <sub>2<\/sub> ) <sup>2<\/sup> \/ { [ (s <sub>1<\/sub> <sup>2<\/sup> \/ n <sub>1<\/sub> ) <sup>2<\/sup> \/ (n <sub>1<\/sub> \u2013 1) ] + [ (s <sub>2<\/sub> <sup>2<\/sup> \/ n <sub>2<\/sub> ) <sup>2<\/sup> \/ (n <sub>2<\/sub> \u2013 1) ] }<\/span><\/p>\n<p><span style=\"color: #000000;\">\u81ea\u7531\u5ea6\uff1a(20.42\/11 + 83.23\/13) <sup>2<\/sup> \/ { [ (20.42\/11) <sup>2<\/sup> \/ (11 \u2013 1) ] + [ (83.23\/13) <sup>2<\/sup> \/ (13 \u2013 1) ] } = 18.137\u3002\u6211\u4eec\u5c06\u6b64\u7ed3\u679c\u56db\u820d\u4e94\u5165\u4e3a\u6700\u63a5\u8fd1\u7684\u6574\u6570<strong>18<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6700\u540e\uff0c\u6211\u4eec\u5c06\u5728 t \u5206\u5e03\u8868\u4e2d\u627e\u5230\u4e34\u754c\u503c<em>t<\/em> \uff0c\u5b83\u5bf9\u5e94\u4e8e 18 \u4e2a\u81ea\u7531\u5ea6\u7684 alpha = 0.05 \u7684\u53cc\u8fb9\u68c0\u9a8c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/t_dist.png\" alt=\"\u5206\u5e03\u8868T\" srcset=\"\" sizes=\"\"><\/p>\n<p><span style=\"color: #000000;\">\u4e34\u754c\u503c t \u662f<strong>2.101<\/strong> \u3002\u7531\u4e8e\u6211\u4eec\u7684\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684\u7edd\u5bf9\u503c (1.538) \u4e0d\u5927\u4e8e\u4e34\u754c\u503c t\uff0c\u56e0\u6b64\u6211\u4eec\u65e0\u6cd5\u62d2\u7edd\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\u3002\u6ca1\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u4e24\u4e2a\u4eba\u7fa4\u7684\u5747\u503c\u5b58\u5728\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f7f\u7528 Excel \u8fdb\u884c\u97e6\u5c14\u5947 T \u68c0\u9a8c<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u8981\u5728 Excel \u4e2d\u6267\u884c\u97e6\u5c14\u5947 t \u68c0\u9a8c\uff0c\u6211\u4eec\u9996\u5148\u9700\u8981\u4e0b\u8f7d\u514d\u8d39\u7684\u5206\u6790\u5de5\u5177\u5e93\u8f6f\u4ef6\u3002\u5982\u679c\u60a8\u5c1a\u672a\u5728 Excel \u4e2d\u4e0b\u8f7d\u5b83\uff0c\u6211\u7f16\u5199\u4e86<a href=\"https:\/\/statorials.org\/cn\/\u5982\u4f55\u5728excel\u4e2d\u52a0\u8f7d\u5206\u6790\u5de5\u5177\u5e93\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u4e00\u4e2a\u6709\u5173\u5982\u4f55\u4e0b\u8f7d\u5b83\u7684\u5feb\u901f\u6559\u7a0b<\/a>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e0b\u8f7d\u5206\u6790\u5de5\u5177\u5e93\u540e\uff0c\u60a8\u53ef\u4ee5\u6309\u7167\u4ee5\u4e0b\u6b65\u9aa4\u5bf9\u6211\u4eec\u7684\u4e24\u4e2a\u6837\u672c\u6267\u884c Welch t \u68c0\u9a8c\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u8f93\u5165\u6570\u636e\u3002<\/strong>\u5728 A \u5217\u548c B \u5217\u4e2d\u8f93\u5165\u4e24\u4e2a\u6837\u672c\u7684\u6570\u636e\u503c\uff0c\u5e76\u5728\u6bcf\u5217\u7684\u7b2c\u4e00\u4e2a\u5355\u5143\u683c\u4e2d\u8f93\u5165\u6807\u9898<em>\u201c\u6837\u672c 1\u201d<\/em>\u548c<em>\u201c\u6837\u672c 2\u201d<\/em> \u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u4f7f\u7528\u5206\u6790\u5de5\u5177\u5e93\u6267\u884c Welch t \u68c0\u9a8c\u3002<\/strong>\u8f6c\u5230\u9876\u90e8\u529f\u80fd\u533a\u7684<strong>\u201c\u6570\u636e\u201d<\/strong>\u9009\u9879\u5361\u3002\u63a5\u4e0b\u6765\uff0c\u5728<strong>\u201c\u5206\u6790\u201d<\/strong>\u7ec4\u4e0b\uff0c\u5355\u51fb\u201c\u5206\u6790\u5de5\u5177\u5e93\u201d\u56fe\u6807\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u51fa\u73b0\u7684\u5bf9\u8bdd\u6846\u4e2d\uff0c\u5355\u51fb<strong>\u201ct \u68c0\u9a8c\uff1a\u5047\u8bbe\u65b9\u5dee\u4e0d\u7b49\u7684\u4e24\u4e2a\u6837\u672c\u201d<\/strong> \uff0c\u7136\u540e\u5355\u51fb\u201c\u786e\u5b9a\u201d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6700\u540e\uff0c\u586b\u5199\u4e0b\u9762\u7684\u503c\u7136\u540e\u5355\u51fb\u201c\u786e\u5b9a\u201d\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5e94\u51fa\u73b0\u4ee5\u4e0b\u7ed3\u679c\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c\u6b64\u6d4b\u8bd5\u7684\u7ed3\u679c\u4e0e\u6211\u4eec\u624b\u52a8\u83b7\u5f97\u7684\u7ed3\u679c\u76f8\u5bf9\u5e94\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<strong>-1.5379<\/strong> \u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u4e24\u4fa7\u4e34\u754c\u503c\u4e3a<strong>2.1009<\/strong> \u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u7531\u4e8e\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684\u7edd\u5bf9\u503c\u4e0d\u5927\u4e8e\u53cc\u5c3e\u4e34\u754c\u503c\uff0c\u56e0\u6b64\u4e24\u4e2a\u603b\u4f53\u7684\u5747\u503c\u6ca1\u6709\u7edf\u8ba1\u5dee\u5f02\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6b64\u5916\uff0c\u68c0\u9a8c\u7684\u53cc\u5c3e p \u503c\u4e3a 0.14\uff0c\u5927\u4e8e 0.05\uff0c\u8bc1\u5b9e\u4e24\u4e2a\u603b\u4f53\u7684\u5747\u503c\u6ca1\u6709\u7edf\u8ba1\u5dee\u5f02\u3002<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u4f7f\u7528 R \u8fdb\u884c\u97e6\u5c14\u5947 t \u68c0\u9a8c<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u8bf4\u660e\u4e86\u5982\u4f55\u4f7f\u7528<em>R<\/em>\u7edf\u8ba1\u7f16\u7a0b\u8bed\u8a00\u5bf9\u4e24\u4e2a\u6837\u672c\u6267\u884c Welch t \u68c0\u9a8c\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create two vectors to hold sample data values\n<\/span>sample1 &lt;- c(14, 15, 15, 15, 16, 18, 22, 23, 24, 25, 25)\nsample2 &lt;- c(10, 12, 14, 15, 18, 22, 24, 27, 31, 33, 34, 34, 34)\n\n<span style=\"color: #008080;\">#conduct Welch's test\n<\/span><span style=\"color: #800080;\">t.test(<\/span> sample1, sample2)\n\n# Welch Two Sample t-test\n#\n#data: sample1 and sample2\n#t = -1.5379, df = 18.137, p-value = 0.1413\n#alternative hypothesis: true difference in means is not equal to 0\n#95 percent confidence interval:\n#-10.453875 1.614714\n#sample estimates:\n#mean of x mean of y \n#19.27273 23.69231 \n#<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>t.test()<\/strong>\u51fd\u6570\u663e\u793a\u4ee5\u4e0b\u76f8\u5173\u8f93\u51fa\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>t\uff1a<\/strong>\u68c0\u9a8c\u7edf\u8ba1\u91cf = <strong>-1.5379<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>df<\/strong> \uff1a\u81ea\u7531\u5ea6 = <strong>18.137<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p \u503c\uff1a<\/strong>\u53cc\u5c3e\u68c0\u9a8c\u7684 p \u503c = <strong>0.1413<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>95% \u7f6e\u4fe1\u533a\u95f4<\/strong>\uff1a\u603b\u4f53\u5e73\u5747\u503c\u7684\u771f\u5b9e\u5dee\u5f02\u7684 95%<a href=\"https:\/\/statorials.org\/cn\/\u7f6e\u4fe1\u533a\u95f4-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u7f6e\u4fe1\u533a\u95f4<\/a>= <strong>(-10.45, 1.61)<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8be5\u68c0\u9a8c\u7684\u7ed3\u679c\u4e0e\u624b\u52a8\u548c\u4f7f\u7528 Excel \u83b7\u5f97\u7684\u7ed3\u679c\u76f8\u5bf9\u5e94\uff1a\u8fd9\u4e24\u4e2a\u603b\u4f53\u7684\u5e73\u5747\u503c\u5dee\u5f02\u5728 alpha = 0.05 \u7684\u6c34\u5e73\u4e0a\u5e76\u4e0d\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5f53\u6211\u4eec\u60f3\u8981\u6bd4\u8f83\u4e24\u4e2a\u72ec\u7acb\u7ec4\u7684\u5747\u503c\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u9009\u62e9\u4f7f\u7528\u4e24\u79cd\u4e0d\u540c\u7684\u68c0\u9a8c\uff1a \u5b66\u751f t \u68c0\u9a8c\uff1a\u6b64\u68c0\u9a8c\u5047\u8bbe\u4e24\u7ec4\u6570\u636e\u662f\u4ece\u9075\u5faa [&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-528","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u97e6\u5c14\u5947\u7684 t \u68c0\u9a8c\uff1a\u4f55\u65f6\u4f7f\u7528\u5b83 + \u793a\u4f8b - Statory<\/title>\n<meta name=\"description\" content=\"\u4e00\u4e2a\u7b80\u5355\u7684\u6307\u5357\uff0c\u89e3\u91ca\u5982\u4f55\u4f7f\u7528\u97e6\u5c14\u5947 t \u68c0\u9a8c\u4ee5\u53ca\u4f55\u65f6\u4f7f\u7528\u5b83\uff0c\u5e76\u9644\u6709\u51e0\u4e2a\u793a\u4f8b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/cn\/\u97e6\u5c14\u5947t\u68c0\u9a8c\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u97e6\u5c14\u5947\u7684 t \u68c0\u9a8c\uff1a\u4f55\u65f6\u4f7f\u7528\u5b83 + \u793a\u4f8b - Statory\" \/>\n<meta property=\"og:description\" content=\"\u4e00\u4e2a\u7b80\u5355\u7684\u6307\u5357\uff0c\u89e3\u91ca\u5982\u4f55\u4f7f\u7528\u97e6\u5c14\u5947 t 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