{"id":743,"date":"2023-07-28T22:09:23","date_gmt":"2023-07-28T22:09:23","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac-t-%e6%a3%80%e9%aa%8c\/"},"modified":"2023-07-28T22:09:23","modified_gmt":"2023-07-28T22:09:23","slug":"%e6%a0%b7%e6%9c%ac-t-%e6%a3%80%e9%aa%8c","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%a0%b7%e6%9c%ac-t-%e6%a3%80%e9%aa%8c\/","title":{"rendered":"\u5355\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;\"><strong>\u5355\u6837\u672c t \u68c0\u9a8c<\/strong>\u7528\u4e8e\u6d4b\u8bd5<a href=\"https:\/\/statorials.org\/cn\/\u603b\u4f53\u4e0e\u6837\u672c\/\" target=\"_blank\" rel=\"noopener\">\u603b\u4f53<\/a>\u5e73\u5747\u503c\u662f\u5426\u7b49\u4e8e\u67d0\u4e2a\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\u5355\u6837\u672c t \u68c0\u9a8c\u7684\u52a8\u673a\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u7528\u4e8e\u6267\u884c\u5355\u6837\u672c t \u68c0\u9a8c\u7684\u516c\u5f0f\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6267\u884c\u5355\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\u5355\u6837\u672c t \u68c0\u9a8c\u7684\u793a\u4f8b\u3002<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>t \u68c0\u9a8c\u7684\u793a\u4f8b\uff1a\u52a8\u673a<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u4f5b\u7f57\u91cc\u8fbe\u5dde\u67d0\u79cd\u6d77\u9f9f\u7684\u5e73\u5747\u91cd\u91cf\u662f\u5426\u4e3a 310 \u78c5\u3002\u7531\u4e8e\u4f5b\u7f57\u91cc\u8fbe\u5dde\u6709\u6570\u5343\u53ea\u6d77\u9f9f\uff0c\u56e0\u6b64\u56db\u5904\u8d70\u52a8\u5e76\u5355\u72ec\u79f0\u91cd\u6bcf\u53ea\u6d77\u9f9f\u5c06\u975e\u5e38\u8017\u65f6\u4e14\u6602\u8d35\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u76f8\u53cd\uff0c\u6211\u4eec\u53ef\u4ee5\u62bd\u53d6 40 \u53ea\u6d77\u9f9f\u7684<a href=\"https:\/\/statorials.org\/cn\/\u62bd\u6837\u65b9\u6cd5\/\" target=\"_blank\" rel=\"noopener\">\u7b80\u5355\u968f\u673a\u6837\u672c<\/a>\uff0c\u5e76\u4f7f\u7528\u8be5\u6837\u672c\u4e2d\u6d77\u9f9f\u7684\u5e73\u5747\u91cd\u91cf\u6765\u4f30\u8ba1\u771f\u5b9e\u7684\u79cd\u7fa4\u5e73\u5747\u503c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7353 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cimoyenne1.png\" alt=\"\u793a\u4f8b\u603b\u4f53\u7684\u6837\u672c\" width=\"405\" height=\"270\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u51e0\u4e4e\u53ef\u4ee5\u4fdd\u8bc1\u6211\u4eec\u6837\u672c\u4e2d\u6d77\u9f9f\u7684\u5e73\u5747\u91cd\u91cf\u5c06\u4e0d\u540c\u4e8e 310 \u78c5\u3002<strong>\u95ee\u9898\u662f\u8fd9\u79cd\u5dee\u5f02\u662f\u5426\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027<\/strong>\u3002\u5e78\u8fd0\u7684\u662f\uff0c\u5355\u6837\u672c t \u68c0\u9a8c\u53ef\u4ee5\u8ba9\u6211\u4eec\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5355\u6837\u672c t \u68c0\u9a8c\uff1a<\/strong><\/span><span style=\"color: #000000;\"><strong>\u516c\u5f0f<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5355\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 = \u03bc <sub>0<\/sub> \uff08\u603b\u4f53\u5e73\u5747\u503c\u7b49\u4e8e\u5047\u8bbe\u503c \u03bc <sub>0<\/sub> \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 \u2260 \u03bc <sub>0<\/sub> \uff08\u603b\u4f53\u5e73\u5747\u503c\u4e0d\u7b49\u4e8e\u5047\u8bbe\u503c \u03bc <sub>0<\/sub> \uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> \uff08\u5de6\uff09\uff1a<\/strong> \u03bc &lt; \u03bc <sub>0<\/sub> \uff08\u603b\u4f53\u5e73\u5747\u503c\u5c0f\u4e8e\u5047\u8bbe\u503c \u03bc <sub>0<\/sub> \uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> \uff08\u53f3\uff09\uff1a<\/strong> \u03bc &gt; \u03bc <sub>0<\/sub> \uff08\u603b\u4f53\u5e73\u5747\u503c\u5927\u4e8e\u5047\u8bbe\u503c \u03bc <sub>0<\/sub> \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 = (<\/strong> <strong><span style=\"text-decoration: overline;\">X<\/span> \u2013 \u03bc) \/ (s\/ <span style=\"text-decoration: overline;\">\u221an<\/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\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u03bc <sub>0<\/sub> \uff1a<\/strong>\u5047\u8bbe\u603b\u4f53\u5e73\u5747\u503c<\/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;\">\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>\u4e00\u4e2a\u6837\u672c t \u68c0\u9a8c\uff1a\u5047\u8bbe<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u4f7f\u5355\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><strong><span style=\"color: #000000;\">\u6240\u7814\u7a76\u7684\u53d8\u91cf\u5fc5\u987b\u662f\u533a\u95f4\u53d8\u91cf\u6216\u6bd4\u7387\u53d8\u91cf\u3002<\/span><\/strong><\/li>\n<li><span style=\"color: #000000;\"><strong>\u6837\u672c\u4e2d\u7684\u89c2\u5bdf\u5fc5\u987b\u662f<a href=\"https:\/\/statorials.org\/cn\/\u72ec\u7acb\u6027\u5047\u8bf4\/\" target=\"_blank\" rel=\"noopener\">\u72ec\u7acb\u7684<\/a>\u3002<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u7814\u7a76\u7684\u53d8\u91cf\u5fc5\u987b\u5177\u6709\u8fd1\u4f3c\u6b63\u6001\u5206\u5e03\u3002<\/strong><span style=\"color: #000000;\">\u60a8\u53ef\u4ee5\u901a\u8fc7\u521b\u5efa\u76f4\u65b9\u56fe\u5e76\u76ee\u89c6\u68c0\u67e5\u5206\u5e03\u662f\u5426\u5927\u81f4\u5448\u201c\u949f\u5f62\u201d\u6765\u6d4b\u8bd5\u6b64\u5047\u8bbe\u3002<\/span><\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u7814\u7a76\u7684\u53d8\u91cf\u4e0d\u5f97\u5305\u542b\u4efb\u4f55\u5f02\u5e38\u503c\u3002<\/strong>\u60a8\u53ef\u4ee5\u901a\u8fc7\u521b\u5efa<a href=\"https:\/\/statorials.org\/cn\/\u76d2\u987b\/\" target=\"_blank\" rel=\"noopener\">\u7bb1\u7ebf\u56fe<\/a>\u5e76\u76ee\u89c6\u68c0\u67e5\u5f02\u5e38\u503c\u6765\u9a8c\u8bc1\u8fd9\u4e00\u5047\u8bbe\u3002<\/span><\/li>\n<\/ul>\n<h2><span style=\"color: #000000;\"><strong>\u4e00\u4e2a\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\u79cd\u4e4c\u9f9f\u7684\u5e73\u5747\u91cd\u91cf\u662f\u5426\u7b49\u4e8e 310 \u78c5\u3002\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u6b65\u9aa4\u5728 \u03b1 = 0.05 \u663e\u7740\u6027\u6c34\u5e73\u4e0a\u6267\u884c\u5355\u6837\u672c t \u68c0\u9a8c\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 1\uff1a\u6536\u96c6\u6837\u672c\u6570\u636e\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5047\u8bbe<\/span><span style=\"color: #000000;\">\u6211\u4eec\u968f\u673a\u6536\u96c6\u6d77\u9f9f\u6837\u672c\uff0c\u5176\u4e2d\u5305\u542b\u4ee5\u4e0b\u4fe1\u606f\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6837\u672c\u91cf n = 40<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5e73\u5747\u6837\u672c\u91cd\u91cf<span style=\"text-decoration: overline;\">x<\/span> = 300<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6837\u672c\u6807\u51c6\u5dee s = 18.5<\/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\u8fdb\u884c\u5355\u6837\u672c t \u68c0\u9a8c\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc = 310\uff08\u603b\u4f53\u5e73\u5747\u503c\u7b49\u4e8e 310 \u672c\u4e66\uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03bc \u2260 310\uff08\u603b\u4f53\u5e73\u5747\u503c\u4e0d\u7b49\u4e8e 310 \u78c5\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> <span style=\"color: #000000;\"><strong>t<\/strong> = ( <span style=\"text-decoration: overline;\">x<\/span> \u2013 \u03bc) \/ (s\/ <span style=\"text-decoration: overline;\">\u221an<\/span> ) = (300-310) \/ (18.5\/ <span style=\"text-decoration: overline;\">\u221a40<\/span> ) = <strong>-3.4187<\/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 = -3.4817 \u548c\u81ea\u7531\u5ea6 = n-1 = 40-1 = 39 \u76f8\u5173\u7684 p \u503c\u4e3a<strong>0.00149<\/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\u8fd9\u79cd\u6d77\u9f9f\u7684\u5e73\u5747\u4f53\u91cd\u4e0d\u7b49\u4e8e310\u78c5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><em><strong>\u6ce8\u610f\uff1a<\/strong>\u60a8\u8fd8\u53ef\u4ee5\u4ec5\u4f7f\u7528<a href=\"https:\/\/statorials.org\/cn\/t-\u68c0\u9a8c\u8ba1\u7b97\u5668\u793a\u4f8b\/\" target=\"_blank\" rel=\"noopener\">\u5355\u6837\u672c t \u68c0\u9a8c\u8ba1\u7b97\u5668<\/a>\u6765\u6267\u884c\u6574\u4e2a\u5355\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\u5355\u6837\u672c t \u68c0\u9a8c\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/excel-t-\u68c0\u9a8c\u6837\u672c\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c\u5355\u6837\u672c t \u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/spss\u5355\u6837\u672ct\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 SPSS \u4e2d\u6267\u884c\u5355\u6837\u672c t \u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u4e00\u4e2a\u6837\u672ct\u68c0\u9a8cstata\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Stata \u4e2d\u8fdb\u884c\u5355\u6837\u672c t \u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/r-\u4e2d\u7684\u6837\u672c-t-\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u5355\u6837\u672c t \u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/t-\u6d4b\u8bd5-python-\u793a\u4f8b\/\">\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u5355\u6837\u672c t \u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/t-\u68c0\u9a8c-ti-84-\u8ba1\u7b97\u5668\u793a\u4f8b\/\">\u5982\u4f55\u5728 TI-84 \u8ba1\u7b97\u5668\u4e0a\u6267\u884c\u5355\u6837\u672c t \u68c0\u9a8c<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5355\u6837\u672c t \u68c0\u9a8c\u7528\u4e8e\u6d4b\u8bd5\u603b\u4f53\u5e73\u5747\u503c\u662f\u5426\u7b49\u4e8e\u67d0\u4e2a\u503c\u3002 \u672c\u6559\u7a0b\u89e3\u91ca\u4e86\u4ee5\u4e0b\u5185\u5bb9\uff1a \u6267\u884c\u5355\u6837\u672c t \u68c0\u9a8c\u7684\u52a8\u673a\u3002 \u7528\u4e8e 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