{"id":419,"date":"2023-07-30T04:17:34","date_gmt":"2023-07-30T04:17:34","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e9%85%8d%e5%af%b9%e6%a0%b7%e6%9c%act%e6%a3%80%e9%aa%8c\/"},"modified":"2023-07-30T04:17:34","modified_gmt":"2023-07-30T04:17:34","slug":"%e9%85%8d%e5%af%b9%e6%a0%b7%e6%9c%act%e6%a3%80%e9%aa%8c","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e9%85%8d%e5%af%b9%e6%a0%b7%e6%9c%act%e6%a3%80%e9%aa%8c\/","title":{"rendered":"\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\uff1a\u5b9a\u4e49\u3001\u516c\u5f0f\u548c\u793a\u4f8b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5f53\u4e00\u4e2a\u6837\u672c\u4e2d\u7684\u6bcf\u4e2a<a href=\"https:\/\/statorials.org\/cn\/\u7edf\u8ba1\u89c2\u5bdf\/\" target=\"_blank\" rel=\"noopener\">\u89c2\u5bdf\u503c<\/a>\u53ef\u4ee5\u4e0e\u53e6\u4e00\u4e2a\u6837\u672c\u4e2d\u7684\u89c2\u5bdf\u503c\u76f8\u5173\u8054\u65f6<strong>\uff0c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c<\/strong>\u7528\u4e8e\u6bd4\u8f83\u4e24\u4e2a\u6837\u672c\u7684\u5e73\u5747\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u89e3\u91ca\u4e86\u4ee5\u4e0b\u5185\u5bb9\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6267\u884c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u7684\u52a8\u673a\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u7528\u4e8e\u6267\u884c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u7684\u516c\u5f0f\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6267\u884c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u5fc5\u987b\u6ee1\u8db3\u7684\u5047\u8bbe\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5982\u4f55\u6267\u884c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u7684\u793a\u4f8b\u3002<\/span><\/li>\n<\/ul>\n<h2><span style=\"color: #000000;\"><strong>\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\uff1a\u52a8\u673a<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u901a\u5e38\u7528\u4e8e\u4e24\u79cd\u60c5\u51b5\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u5728\u6cbb\u7597\u524d\u540e\u5bf9\u53d7\u8bd5\u8005\u8fdb\u884c\u6d4b\u91cf<\/strong>\u2014\u2014\u4f8b\u5982\uff0c\u5728\u53c2\u52a0\u8bad\u7ec3\u8ba1\u5212\u4e4b\u524d\u548c\u4e4b\u540e\u6d4b\u91cf\u5927\u5b66\u7bee\u7403\u8fd0\u52a8\u5458\u7684\u6700\u5927\u5782\u76f4\u5f39\u8df3\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u5728\u4e24\u79cd\u4e0d\u540c\u6761\u4ef6\u4e0b\u8fdb\u884c\u6d4b\u91cf<\/strong>&#8211; \u4f8b\u5982\uff0c\u4f7f\u7528\u4e24\u79cd\u4e0d\u540c\u836f\u7269\u6d4b\u91cf\u60a3\u8005\u7684\u53cd\u5e94\u65f6\u95f4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u8fd9\u4e24\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u60f3\u8981\u6bd4\u8f83\u4e24\u7ec4\u4e4b\u95f4\u7684\u5e73\u5747\u6d4b\u91cf\u503c\uff0c\u5176\u4e2d\u4e00\u4e2a\u6837\u672c\u7684\u6bcf\u4e2a\u89c2\u5bdf\u7ed3\u679c\u90fd\u53ef\u4ee5\u4e0e\u53e6\u4e00\u4e2a\u6837\u672c\u7684\u89c2\u5bdf\u7ed3\u679c\u76f8\u5173\u8054\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\uff1a<\/strong><\/span><span style=\"color: #000000;\"><strong>\u516c\u5f0f<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u59cb\u7ec8\u4f7f\u7528\u4ee5\u4e0b\u539f\u5047\u8bbe\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> \uff08\u4e24\u4e2a\u603b\u4f53\u5e73\u5747\u503c\u76f8\u7b49\uff09<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5907\u62e9\u5047\u8bbe\u53ef\u4ee5\u662f\u53cc\u8fb9\u7684\u3001\u5de6\u7684\u6216\u53f3\u7684\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> \uff08\u53cc\u5c3e\uff09\uff1a<\/strong> \u03bc <strong><sub>1<\/sub><\/strong> \u2260 \u03bc <sub>2<\/sub> \uff08\u4e24\u4e2a\u603b\u4f53\u7684\u5747\u503c\u4e0d\u76f8\u7b49\uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> \uff08\u5de6\uff09\uff1a<\/strong> \u03bc <sub>1<\/sub> &lt; \u03bc <sub>2<\/sub> \uff08\u603b\u4f53 1 \u7684\u5e73\u5747\u503c\u4f4e\u4e8e\u603b\u4f53 2 \u7684\u5e73\u5747\u503c\uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> \uff08\u53f3\uff09\uff1a<\/strong> \u03bc <strong><sub>1<\/sub><\/strong> &gt; \u03bc <sub>2<\/sub> \uff08\u603b\u4f53 1 \u7684\u5e73\u5747\u503c\u5927\u4e8e\u603b\u4f53 2 \u7684\u5e73\u5747\u503c\uff09<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8ba1\u7b97 t \u68c0\u9a8c\u7edf\u8ba1\u91cf\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t = <span style=\"text-decoration: overline;\">x<\/span><sub>\u5dee\u5f02<\/sub>\/ (s<sub>\u5dee\u5f02<\/sub>\/\u221an)<\/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> <sub>diff<\/sub> \uff1a<\/strong>\u5dee\u5f02\u5e73\u5747\u503c\u793a\u4f8b<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>s\uff1a<\/strong>\u5dee\u5f02\u6807\u51c6\u5dee\u793a\u4f8b<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u6837\u672c\u5927\u5c0f\uff08\u5373\u5bf9\u7684\u6570\u91cf\uff09<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5982\u679c\u4e0e\u5177\u6709 (n-1) \u4e2a\u81ea\u7531\u5ea6\u7684 t \u68c0\u9a8c\u7edf\u8ba1\u91cf\u76f8\u5bf9\u5e94\u7684 p \u503c\u5c0f\u4e8e\u6240\u9009\u7684\u663e\u7740\u6027\u6c34\u5e73\uff08\u5e38\u89c1\u9009\u62e9\u4e3a 0.10\u30010.05 \u548c 0.01\uff09\uff0c\u5219\u60a8\u53ef\u4ee5\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\uff1a\u5047\u8bbe<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u4f7f\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u7684\u7ed3\u679c\u6709\u6548\uff0c\u5fc5\u987b\u6ee1\u8db3\u4ee5\u4e0b\u5047\u8bbe\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u53c2\u4e0e\u8005\u5e94\u4ece\u4eba\u7fa4\u4e2d\u968f\u673a\u9009\u62e9\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5bf9\u4e4b\u95f4\u7684\u5dee\u5f02\u5e94\u8fd1\u4f3c\u5448\u6b63\u6001\u5206\u5e03\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5dee\u5f02\u4e2d\u4e0d\u5e94\u5b58\u5728\u6781\u7aef\u5f02\u5e38\u503c\u3002<\/span><\/li>\n<\/ul>\n<h2><span style=\"color: #000000;\"><strong>\u914d\u5bf9<\/strong><\/span><span style=\"color: #000000;\"><strong>\u6837\u672c t \u68c0\u9a8c<\/strong><\/span><span style=\"color: #000000;\"><strong>\uff1a\u793a\u4f8b<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u67d0\u4e2a\u8bad\u7ec3\u8ba1\u5212\u662f\u5426\u80fd\u591f\u63d0\u9ad8\u5927\u5b66\u7bee\u7403\u8fd0\u52a8\u5458\u7684\u6700\u5927\u5782\u76f4\u5f39\u8df3\uff08\u4ee5\u82f1\u5bf8\u4e3a\u5355\u4f4d\uff09\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u53ef\u4ee5\u62db\u52df 20 \u540d\u5927\u5b66\u7bee\u7403\u8fd0\u52a8\u5458\u4f5c\u4e3a<a href=\"https:\/\/statorials.org\/cn\/\u62bd\u6837\u65b9\u6cd5\/\" target=\"_blank\" rel=\"noopener\">\u7b80\u5355\u7684\u968f\u673a\u6837\u672c<\/a>\uff0c\u5e76\u6d4b\u91cf\u4ed6\u4eec\u6bcf\u4e2a\u4eba\u7684\u6700\u5927\u5782\u76f4\u5f39\u8df3\u3002\u7136\u540e\u6211\u4eec\u53ef\u4ee5\u8ba9\u6bcf\u4e2a\u7403\u5458\u4f7f\u7528\u4e00\u4e2a\u6708\u7684\u8bad\u7ec3\u8ba1\u5212\uff0c\u7136\u540e\u5728\u6708\u5e95\u518d\u6b21\u6d4b\u91cf\u4ed6\u4eec\u7684\u6700\u5927\u5782\u76f4\u5f39\u8df3\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7956 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/jumelet1.png\" alt=\"\u914d\u5bf9 T \u68c0\u9a8c\u6570\u636e\u96c6\u793a\u4f8b\" width=\"348\" height=\"443\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u786e\u5b9a\u8bad\u7ec3\u8ba1\u5212\u662f\u5426\u786e\u5b9e\u5bf9\u6700\u5927\u5782\u76f4\u5f39\u8df3\u4ea7\u751f\u5f71\u54cd\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u6b65\u9aa4\u5728 \u03b1 = 0.05 \u663e\u7740\u6027\u6c34\u5e73\u4e0a\u6267\u884c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 1\uff1a\u8ba1\u7b97\u5dee\u5f02\u7684\u6c47\u603b\u6570\u636e\u3002<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-7958 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/jumelet2.png\" alt=\"\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u6570\u636e\u96c6\" width=\"398\" height=\"455\" srcset=\"\" sizes=\"auto, \"><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> <sub>diff<\/sub> \uff1a<\/strong>\u6837\u672c\u5dee\u5f02\u5e73\u5747\u503c = <strong>-0.95<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s\uff1a<\/strong>\u5dee\u5f02\u7684\u6837\u672c\u6807\u51c6\u5dee = <strong>1.317<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u6837\u672c\u5927\u5c0f\uff08\u5373\u5bf9\u6570\uff09= <strong>20<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 2 \u6b65\uff1a\u5b9a\u4e49\u5047\u8bbe\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u5047\u8bbe\u5bf9\u914d\u5bf9\u6837\u672c\u8fdb\u884c t \u68c0\u9a8c\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> \uff08\u4e24\u4e2a\u603b\u4f53\u5e73\u5747\u503c\u76f8\u7b49\uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03bc <sub>1<\/sub> \u2260 \u03bc <sub>2<\/sub> \uff08\u4e24\u4e2a\u603b\u4f53\u5e73\u5747\u503c\u4e0d\u76f8\u7b49\uff09<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 3\uff1a\u8ba1\u7b97<em>t<\/em>\u68c0\u9a8c\u7edf\u8ba1\u91cf\u3002<\/strong><\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">t = <span style=\"text-decoration: overline;\">x<\/span><sub>\u5dee\u5f02<\/sub>\/ (s<sub>\u5dee\u5f02<\/sub>\/\u221an)<\/span><\/strong> <span style=\"color: #000000;\">= -0.95 \/ (1.317\/ <strong>\u221a<\/strong> 20) = <strong>-3.226<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 4\uff1a\u8ba1\u7b97<em>t<\/em>\u68c0\u9a8c\u7edf\u8ba1\u91cf\u7684 p \u503c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6839\u636e<a href=\"https:\/\/statorials.org\/cn\/t-\u5206\u6570-p-\u503c\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">T \u5206\u6570\u5230 P \u503c\u8ba1\u7b97\u5668<\/a>\uff0c\u4e0e t = -3.226 \u548c\u81ea\u7531\u5ea6 = n-1 = 20-1 = 19 \u76f8\u5173\u7684 p \u503c\u4e3a<strong>0.00445<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c\u4e94\u6b65\uff1a\u5f97\u51fa\u7ed3\u8bba\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u8be5 p \u503c\u4f4e\u4e8e\u663e\u7740\u6027\u6c34\u5e73 \u03b1 = 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u62d2\u7edd\u539f\u5047\u8bbe\u3002\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\uff0c\u7403\u5458\u5728\u53c2\u52a0\u8bad\u7ec3\u8ba1\u5212\u4e4b\u524d\u548c\u4e4b\u540e\u7684\u5e73\u5747\u6700\u5927\u5782\u76f4\u5f39\u8df3\u662f\u4e0d\u540c\u7684\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><em><strong>\u6ce8\u610f\uff1a<\/strong>\u60a8\u8fd8\u53ef\u4ee5\u901a\u8fc7\u7b80\u5355\u5730\u4f7f\u7528 <a href=\"https:\/\/statorials.org\/cn\/\u914d\u5bf9\u6837\u672c-t-\u68c0\u9a8c\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u8ba1\u7b97\u5668\u6765<\/a>\u6267\u884c\u6574\u4e2a\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\u3002<\/em><\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u89e3\u91ca\u4e86\u5982\u4f55\u4f7f\u7528\u4e0d\u540c\u7684\u7edf\u8ba1\u7a0b\u5e8f\u6267\u884c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/excel\u914d\u5bf9\u6837\u672ct\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/spss\u914d\u5bf9\u6837\u672ct\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 SPSS \u4e2d\u6267\u884c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u7edf\u8ba1\u5b66\u4ee5\u7b80\u5355\u76f4\u63a5\u7684\u65b9\u5f0f\u89e3\u91ca\u6982\u5ff5\uff0c\u6211\u4eec\u4f7f\u5b66\u4e60\u7edf\u8ba1\u53d8\u5f97\u66f4\u5bb9\u6613\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Stata \u4e2d\u8fdb\u884c\u914d\u5bf9\u6837\u672c t \u68c0\u9a8c<\/a><br \/><a 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