{"id":3247,"date":"2023-07-18T11:58:30","date_gmt":"2023-07-18T11:58:30","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90%e7%9a%84%e5%8e%9f%e5%81%87%e8%ae%be\/"},"modified":"2023-07-18T11:58:30","modified_gmt":"2023-07-18T11:58:30","slug":"%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90%e7%9a%84%e5%8e%9f%e5%81%87%e8%ae%be","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90%e7%9a%84%e5%8e%9f%e5%81%87%e8%ae%be\/","title":{"rendered":"\u4e86\u89e3\u65b9\u5dee\u5206\u6790\u6a21\u578b\u7684\u539f\u5047\u8bbe"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u5355\u5411\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u5355\u5411\u65b9\u5dee\u5206\u6790<\/a>\u7528\u4e8e\u786e\u5b9a\u4e09\u4e2a\u6216\u66f4\u591a\u72ec\u7acb\u7ec4\u7684\u5e73\u5747\u503c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u7edf\u8ba1\u663e\u7740\u6027\u5dee\u5f02\u3002<\/span><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5355\u5411\u65b9\u5dee\u5206\u6790\u4f7f\u7528\u4ee5\u4e0b\u539f\u5047\u8bbe\u548c\u5907\u62e9\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> = \u03bc <sub>3<\/sub> = \u2026 = \u03bc <sub>k<\/sub> \uff08\u6240\u6709\u7ec4\u5747\u503c\u76f8\u7b49\uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong>\u81f3\u5c11\u4e00\u7ec4\u5e73\u5747\u503c\u4e0d\u540c<sub>&nbsp;<\/sub>\u4f11\u606f<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u51b3\u5b9a\u662f\u5426\u5e94\u8be5\u62d2\u7edd\u539f\u5047\u8bbe\uff0c\u6211\u4eec\u9700\u8981\u53c2\u8003\u65b9\u5dee\u5206\u6790\u8868\u7ed3\u679c\u4e2d\u7684 p \u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\">\u5982\u679c p \u503c\u4f4e\u4e8e\u4e00\u5b9a\u7684\u663e\u7740\u6027\u6c34\u5e73\uff08\u4f8b\u5982 0.05\uff09\uff0c\u90a3\u4e48\u6211\u4eec\u53ef\u4ee5\u62d2\u7edd\u539f\u5047\u8bbe\u5e76\u5f97\u51fa\u5e76\u975e\u6240\u6709\u7ec4\u5747\u503c\u90fd\u76f8\u7b49\u7684\u7ed3\u8bba\u3002<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/cn\/\u53cc\u5411\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u53cc\u5411\u65b9\u5dee\u5206\u6790<\/a>\u7528\u4e8e\u786e\u5b9a\u5206\u914d\u7ed9\u4e24\u4e2a\u53d8\u91cf\uff08\u6709\u65f6\u79f0\u4e3a\u201c\u56e0\u5b50\u201d\uff09\u7684\u4e09\u4e2a\u6216\u66f4\u591a\u72ec\u7acb\u7ec4\u7684\u5e73\u5747\u503c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u7edf\u8ba1\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u53cc\u5411\u65b9\u5dee\u5206\u6790\u540c\u65f6\u68c0\u9a8c\u4e09\u4e2a\u96f6\u5047\u8bbe\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6240\u6709\u7ec4\u5747\u503c\u5728\u7b2c\u4e00\u4e2a\u53d8\u91cf\u7684\u6bcf\u4e2a\u6c34\u5e73\u4e0a\u90fd\u76f8\u7b49<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6240\u6709\u7ec4\u5747\u503c\u5728\u7b2c\u4e8c\u4e2a\u53d8\u91cf\u7684\u6bcf\u4e2a\u6c34\u5e73\u4e0a\u90fd\u76f8\u7b49<\/span><\/li>\n<li><span style=\"color: #000000;\">\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u4e0d\u5b58\u5728\u4ea4\u4e92\u4f5c\u7528<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u51b3\u5b9a\u662f\u5426\u5e94\u8be5\u62d2\u7edd\u6bcf\u4e2a\u539f\u5047\u8bbe\uff0c\u6211\u4eec\u9700\u8981\u53c2\u8003\u53cc\u5411\u65b9\u5dee\u5206\u6790\u8868\u7ed3\u679c\u4e2d\u7684 p \u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u663e\u793a\u5982\u4f55\u51b3\u5b9a\u662f\u5426\u62d2\u7edd\u5355\u5411\u65b9\u5dee\u5206\u6790\u548c\u53cc\u5411\u65b9\u5dee\u5206\u6790\u4e2d\u7684\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u793a\u4f8b 1\uff1a\u5355\u5411\u65b9\u5dee\u5206\u6790<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u4e09\u79cd\u4e0d\u540c\u7684\u8003\u8bd5\u51c6\u5907\u8ba1\u5212\u662f\u5426\u4f1a\u5bfc\u81f4\u7ed9\u5b9a\u8003\u8bd5\u7684\u5e73\u5747\u5206\u6570\u4e0d\u540c\u3002\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u62db\u52df\u4e86 30 \u540d\u5b66\u751f\u53c2\u52a0\u4e00\u9879\u7814\u7a76\uff0c\u5e76\u5c06\u4ed6\u4eec\u5206\u4e3a\u4e09\u7ec4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6bcf\u7ec4\u7684\u5b66\u751f\u88ab<a href=\"https:\/\/statorials.org\/cn\/\u968f\u673a\u9009\u62e9\u4e0e\u968f\u673a\u5206\u914d\/\" target=\"_blank\" rel=\"noopener\">\u968f\u673a\u5206\u914d<\/a>\u5728\u63a5\u4e0b\u6765\u7684\u4e09\u5468\u5185\u4f7f\u7528\u4e09\u4e2a\u8003\u8bd5\u51c6\u5907\u8ba1\u5212\u4e4b\u4e00\u6765\u51c6\u5907\u8003\u8bd5\u3002\u4e09\u5468\u7ed3\u675f\u65f6\uff0c\u6240\u6709\u5b66\u751f\u90fd\u53c2\u52a0\u76f8\u540c\u7684\u8003\u8bd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5404\u7ec4\u8003\u8bd5\u6210\u7ee9\u5982\u4e0b\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8258 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/aller-simple2.png\" alt=\"\u5355\u5411\u65b9\u5dee\u5206\u6790\u6570\u636e\u793a\u4f8b\" width=\"237\" height=\"246\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5f53\u6211\u4eec\u5c06\u8fd9\u4e9b\u503c\u8f93\u5165<a href=\"https:\/\/statorials.org\/cn\/\u5355\u5411\u8fbe\u8bfa\u74e6\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">\u5355\u5411\u65b9\u5dee\u5206\u6790\u8ba1\u7b97\u5668<\/a>\u65f6\uff0c\u6211\u4eec\u4f1a\u6536\u5230\u4ee5\u4e0b\u65b9\u5dee\u5206\u6790\u8868\u4f5c\u4e3a\u8f93\u51fa\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8260 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway4.png\" alt=\"\u89e3\u91ca\u65b9\u5dee\u5206\u6790\u8f93\u51fa\u8868\" width=\"374\" height=\"178\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0cp \u503c\u4e3a<strong>0.11385<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5bf9\u4e8e\u8fd9\u4e2a\u7279\u5b9a\u7684\u4f8b\u5b50\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u4ee5\u4e0b\u539f\u5047\u8bbe\u548c\u5907\u62e9\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> = \u03bc <sub>3<\/sub> (\u5404\u7ec4\u5e73\u5747\u8003\u8bd5\u6210\u7ee9\u76f8\u7b49)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> :<\/strong>\u81f3\u5c11\u4e00\u7ec4\u5e73\u5747\u503c\u4e0d\u540c<sub>&nbsp;<\/sub>\u4f11\u606f<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u65b9\u5dee\u5206\u6790\u8868\u7684 p \u503c\u4e0d\u5c0f\u4e8e 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u65e0\u6cd5\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u610f\u5473\u7740\u6211\u4eec\u6ca1\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u4e09\u7ec4\u7684\u5e73\u5747\u8003\u8bd5\u6210\u7ee9\u4e4b\u95f4\u5b58\u5728\u7edf\u8ba1\u4e0a\u7684\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u793a\u4f8b 2\uff1a\u53cc\u5411\u65b9\u5dee\u5206\u6790<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u690d\u7269\u5b66\u5bb6\u60f3\u77e5\u9053\u690d\u7269\u751f\u957f\u662f\u5426\u53d7\u5230\u9633\u5149\u7167\u5c04\u548c\u6d47\u6c34\u9891\u7387\u7684\u5f71\u54cd\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5979\u79cd\u4e0b\u4e86 40 \u9897\u79cd\u5b50\uff0c\u8ba9\u5b83\u4eec\u5728\u4e0d\u540c\u7684\u9633\u5149\u7167\u5c04\u548c\u6d47\u6c34\u9891\u7387\u6761\u4ef6\u4e0b\u751f\u957f\u4e24\u4e2a\u6708\u3002\u4e24\u4e2a\u6708\u540e\uff0c\u5979\u8bb0\u5f55\u4e86\u6bcf\u682a\u690d\u7269\u7684\u9ad8\u5ea6\u3002\u7ed3\u679c\u5982\u4e0b\u6240\u793a\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1451 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2wayanova1.png\" sizes=\"auto, \" srcset=\"\" alt=\"Excel \u4e2d\u7684\u53cc\u5411\u65b9\u5dee\u5206\u6790\u8868\" width=\"392\" height=\"241\"><\/p>\n<p><span style=\"color: #000000;\">\u5728\u4e0a\u8868\u4e2d\uff0c\u6211\u4eec\u770b\u5230\u6bcf\u79cd\u6761\u4ef6\u7ec4\u5408\u4e0b\u90fd\u751f\u957f\u4e86\u4e94\u682a\u690d\u7269\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u6bcf\u5929\u6d47\u6c34\u4e14\u6ca1\u6709\u9633\u5149\u7684\u60c5\u51b5\u4e0b\u79cd\u690d\u4e94\u682a\u690d\u7269\uff0c\u4e24\u4e2a\u6708\u540e\u5b83\u4eec\u7684\u9ad8\u5ea6\u5206\u522b\u4e3a 4.8 \u82f1\u5bf8\u30014.4 \u82f1\u5bf8\u30013.2 \u82f1\u5bf8\u30013.9 \u82f1\u5bf8\u548c 4.4 \u82f1\u5bf8\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1453 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2wayanova2.png\" sizes=\"auto, \" srcset=\"\" alt=\"Excel \u4e2d\u7684\u53cc\u5411\u65b9\u5dee\u5206\u6790\u6570\u636e\" width=\"392\" height=\"241\"><\/p>\n<p><span style=\"color: #000000;\">\u5979<a href=\"https:\/\/statorials.org\/cn\/\u53cc\u5411\u65b9\u5dee\u5206\u6790excel\/\" target=\"_blank\" rel=\"noopener\">\u5728 Excel \u4e2d\u6267\u884c\u53cc\u5411\u65b9\u5dee\u5206\u6790<\/a>\u5e76\u83b7\u5f97\u4ee5\u4e0b\u7ed3\u679c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-27520 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anovaa.jpg\" alt=\"\" width=\"605\" height=\"159\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u5728\u53cc\u5411\u65b9\u5dee\u5206\u6790\u8868\u7ed3\u679c\u4e2d\u770b\u5230\u4ee5\u4e0bp\u503c\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6d47\u6c34\u9891\u7387\u7684 p \u503c\u4e3a<strong>0.975975<\/strong> \u3002\u8fd9\u5728 0.05 \u663e\u7740\u6027\u6c34\u5e73\u4e0a\u4e0d\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u9633\u5149\u7167\u5c04\u7684 p \u503c\u4e3a<strong>3.9E-8 (0.000000039)<\/strong> \u3002\u8fd9\u5728 0.05 \u663e\u7740\u6027\u6c34\u5e73\u4e0a\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6d47\u6c34\u9891\u7387\u548c\u9633\u5149\u7167\u5c04\u4e4b\u95f4\u76f8\u4e92\u4f5c\u7528\u7684 p \u503c\u4e3a<strong>0.310898<\/strong> \u3002\u8fd9\u5728 0.05 \u663e\u7740\u6027\u6c34\u5e73\u4e0a\u4e0d\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8fd9\u4e9b\u7ed3\u679c\u8868\u660e\uff0c\u9633\u5149\u7167\u5c04\u662f\u5bf9\u690d\u7269\u9ad8\u5ea6\u5177\u6709\u7edf\u8ba1\u663e\u7740\u5f71\u54cd\u7684\u552f\u4e00\u56e0\u7d20\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u800c\u4e14\u7531\u4e8e\u4e0d\u5b58\u5728\u4ea4\u4e92\u4f5c\u7528\uff0c\u56e0\u6b64\u9633\u5149\u7167\u5c04\u7684\u6548\u679c\u5728\u6bcf\u4e2a\u6d47\u6c34\u9891\u7387\u6c34\u5e73\u4e0a\u90fd\u662f\u4e00\u81f4\u7684\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7b80\u800c\u8a00\u4e4b\uff0c\u690d\u7269\u6bcf\u5929\u8fd8\u662f\u6bcf\u5468\u6d47\u6c34\u5bf9\u4e8e\u9633\u5149\u7167\u5c04\u5bf9\u690d\u7269\u7684\u5f71\u54cd\u6ca1\u6709\u5f71\u54cd\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u63d0\u4f9b\u6709\u5173 ANOVA \u6a21\u578b\u7684\u5176\u4ed6\u4fe1\u606f\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u65b9\u5dee\u5206\u6790-f-\u503c-p-\u503c\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u89e3\u91ca\u65b9\u5dee\u5206\u6790\u4e2d\u7684F\u503c\u548cP\u503c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5e73\u65b9\u548c\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u8ba1\u7b97\u65b9\u5dee\u5206\u6790\u4e2d\u7684\u5e73\u65b9\u548c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u9ad8-f-\u503c\u610f\u5473\u7740\u4ec0\u4e48\/\" target=\"_blank\" rel=\"noopener\">\u65b9\u5dee\u5206\u6790\u4e2d\u9ad8 F \u503c\u610f\u5473\u7740\u4ec0\u4e48\uff1f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5355\u5411\u65b9\u5dee\u5206\u6790\u7528\u4e8e\u786e\u5b9a\u4e09\u4e2a\u6216\u66f4\u591a\u72ec\u7acb\u7ec4\u7684\u5e73\u5747\u503c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u7edf\u8ba1\u663e\u7740\u6027\u5dee\u5f02\u3002 \u5355\u5411\u65b9\u5dee\u5206\u6790\u4f7f\u7528\u4ee5\u4e0b\u539f\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe 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