{"id":2503,"date":"2023-07-22T00:00:38","date_gmt":"2023-07-22T00:00:38","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e7%be%a4%e4%bd%93%e4%b9%8b%e9%97%b4%e5%8f%98%e5%bc%82%e7%9a%84%e6%96%b0%e6%98%9f\/"},"modified":"2023-07-22T00:00:38","modified_gmt":"2023-07-22T00:00:38","slug":"%e7%be%a4%e4%bd%93%e4%b9%8b%e9%97%b4%e5%8f%98%e5%bc%82%e7%9a%84%e6%96%b0%e6%98%9f","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e7%be%a4%e4%bd%93%e4%b9%8b%e9%97%b4%e5%8f%98%e5%bc%82%e7%9a%84%e6%96%b0%e6%98%9f\/","title":{"rendered":"\u65b9\u5dee\u5206\u6790\u7684\u7ec4\u5185\u6216\u7ec4\u95f4\u53d8\u5f02"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><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\u662f\u5426\u76f8\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5355\u5411\u65b9\u5dee\u5206\u6790\u4f7f\u7528\u4ee5\u4e0b\u539f\u5047\u8bbe\u548c\u5907\u62e9<a href=\"https:\/\/statorials.org\/cn\/\u5047\u8bbe\u68c0\u9a8c1\/\" target=\"_blank\" rel=\"noopener\">\u5047\u8bbe<\/a>\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> \uff1a<\/strong>\u6240\u6709\u7ec4\u5e73\u5747\u503c\u76f8\u7b49\u3002<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> \uff1a<\/strong>\u81f3\u5c11\u4e00\u7ec4\u5e73\u5747\u503c\u4e0e\u5176\u4ed6\u7ec4\u4e0d\u540c\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6bcf\u6b21\u6267\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790\u65f6\uff0c\u60a8\u6700\u7ec8\u90fd\u4f1a\u5f97\u5230\u4e00\u4e2a\u5982\u4e0b\u6240\u793a\u7684\u6c47\u603b\u8868\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22312 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/variation1.png\" alt=\"\" width=\"572\" height=\"138\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u65b9\u5dee\u5206\u6790\u6d4b\u91cf\u4e86\u4e24\u79cd\u4e0d\u540c\u7684\u53d8\u5f02\u6765\u6e90\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7ec4\u95f4\u53d8\u5f02<\/strong>\uff1a\u5404\u7ec4\u5e73\u5747\u503c\u4e0e\u603b\u4f53\u5e73\u5747\u503c\u4e4b\u95f4\u7684\u603b\u53d8\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7ec4\u5185\u53d8\u5f02<\/strong>\uff1a\u6bcf\u7ec4\u4e2d\u4e2a\u4f53\u503c\u7684\u603b\u53d8\u5f02\u53ca\u5176\u7ec4\u5e73\u5747\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u7ec4\u95f4\u53d8\u5f02\u76f8\u5bf9\u4e8e\u7ec4\u5185\u53d8\u5f02\u8f83\u5927\uff0c\u5219\u65b9\u5dee\u5206\u6790\u7684 F \u7edf\u8ba1\u91cf\u4f1a\u8f83\u9ad8\uff0c\u76f8\u5e94\u7684 p \u503c\u4f1a\u8f83\u4f4e\uff0c\u4ece\u800c\u66f4\u6709\u53ef\u80fd\u62d2\u7edd\u539f\u5047\u8bbe\uff0c\u6839\u636e\u8be5\u5047\u8bbe\u7ec4\u5747\u503c\u76f8\u7b49\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5728\u5b9e\u8df5\u4e2d\u8ba1\u7b97\u5355\u5411\u65b9\u5dee\u5206\u6790\u7684\u7ec4\u95f4\u53d8\u5f02\u548c\u7ec4\u5185\u53d8\u5f02\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a\u5728\u65b9\u5dee\u5206\u6790\u4e2d\u8ba1\u7b97\u7ec4\u5185\u548c\u7ec4\u95f4\u7684\u53d8\u5f02<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u786e\u5b9a\u4e09\u79cd\u4e0d\u540c\u7684\u5b66\u4e60\u65b9\u6cd5\u662f\u5426\u4f1a\u5bfc\u81f4\u4e0d\u540c\u7684\u5e73\u5747\u8003\u8bd5\u6210\u7ee9\u3002\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u62db\u52df\u4e86 30 \u540d\u5b66\u751f\uff0c\u5e76<a href=\"https:\/\/statorials.org\/cn\/\u968f\u673a\u9009\u62e9\u4e0e\u968f\u673a\u5206\u914d\/\" target=\"_blank\" rel=\"noopener\">\u968f\u673a\u5206\u914d\u6bcf\u4eba 10<\/a>\u4eba\u4f7f\u7528\u4e0d\u540c\u7684\u5b66\u4e60\u65b9\u6cd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5404\u7ec4\u5b66\u751f\u8003\u8bd5\u6210\u7ee9\u5982\u4e0b\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22314 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/variation2.png\" alt=\"\" width=\"213\" height=\"261\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8ba1\u7b97<strong>\u7ec4\u4e4b\u95f4\u7684\u53d8\u5f02<\/strong>\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7ec4\u95f4\u53d8\u5f02<\/strong>= \u03a3n <sub>j<\/sub> (X <sub>j<\/sub> \u2013 <span style=\"text-decoration: overline;\">X<\/span> ..) <sup>2<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n <sub>j<\/sub><\/strong> : \u7b2c j \u7ec4\u7684\u6837\u672c\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u03a3<\/strong> \uff1a\u8868\u793a\u201c\u548c\u201d\u7684\u7b26\u53f7<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>X <sub>j<\/sub><\/strong> : \u7b2c j \u7ec4\u7684\u5e73\u5747\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">X<\/span> ..<\/strong> : \u603b\u4f53\u5e73\u5747\u503c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u8ba1\u7b97\u8fd9\u4e2a\u503c\uff0c\u6211\u4eec\u9996\u5148\u8ba1\u7b97\u6bcf\u7ec4\u7684\u5e73\u5747\u503c\u548c\u603b\u4f53\u5e73\u5747\u503c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22315 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/variation3.png\" alt=\"\" width=\"313\" height=\"313\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7136\u540e\u6211\u4eec\u8ba1\u7b97\u7ec4\u4e4b\u95f4\u7684\u53d8\u5f02\u5982\u4e0b\uff1a 10(80.5-83.1) <sup>2<\/sup> + 10(82.1-83.1) <sup>2<\/sup> + 10(86.7-83.1) <sup>2<\/sup> = <strong>207.2<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u540e\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u6765\u8ba1\u7b97<strong>\u7ec4\u5185\u53d8\u5f02<\/strong>\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7ec4\u5185\u53d8\u5f02<\/strong>\uff1a\u03a3(X <sub>ij<\/sub> \u2013 <span style=\"text-decoration: overline;\">X<\/span> <sub>j<\/sub> ) <sup>2<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> \uff1a\u8868\u793a\u201c\u548c\u201d\u7684\u7b26\u53f7<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>X <sub>ij<\/sub><\/strong> \uff1a j \u7ec4\u7684<sup>\u7b2c i \u4e2a<\/sup>\u89c2\u5bdf\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">X<\/span> <sub>j<\/sub><\/strong> : \u7b2c j \u7ec4\u7684\u5e73\u5747\u503c<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5728\u6211\u4eec\u7684\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u8ba1\u7b97\u7ec4\u5185\u7684\u53d8\u5f02\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 1 \u7ec4\uff1a<\/strong> (75-80.5) <sup>2<\/sup> + (77-80.5) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (78-80.5) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (78-80.5) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (79-80.5) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (81-80.5) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (81-80.5) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (83-80.5) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (86-80.5) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (87-80.5) <sup>2<\/sup> = <strong>136.5<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 2 \u7ec4\uff1a<\/strong> (78-82.1) <sup>2<\/sup> + (78-82.1) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (79-82.1) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (81-82.1) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (81-82.1) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (82-82.1) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (83-82.1) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (85-82.1) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (86-82.1) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (88-82.1) <sup>2<\/sup> = <strong>104.9<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 3 \u7ec4\uff1a<\/strong> (82-86.7) <sup>2<\/sup> + (82-86.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (84-86.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (86-86.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (86-86.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (87-86.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (87-86.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (89-86.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (90-86.7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (94-86.7) <sup>2<\/sup> = <strong>122.1<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7ec4\u5185\u53d8\u5f02\uff1a<\/strong> 136.5 + 104.9 + 122.1 = <strong>363.5<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u4f7f\u7528\u7edf\u8ba1\u8f6f\u4ef6\u4f7f\u7528\u8be5\u6570\u636e\u96c6\u8fdb\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790\uff0c\u6211\u4eec\u5c06\u5f97\u5230\u4ee5\u4e0b\u65b9\u5dee\u5206\u6790\u8868\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22317 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/variation4.png\" alt=\"\" width=\"571\" height=\"131\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c\u7ec4\u95f4\u548c\u7ec4\u5185\u53d8\u5f02\u503c\u4e0e\u6211\u4eec\u624b\u52a8\u8ba1\u7b97\u7684\u503c\u76f8\u5339\u914d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8868\u4e2d\u7684\u603b\u4f53F\u7edf\u8ba1\u91cf\u662f\u91cf\u5316\u7ec4\u95f4\u53d8\u5f02\u548c\u7ec4\u5185\u53d8\u5f02\u4e4b\u95f4\u5173\u7cfb\u7684\u4e00\u79cd\u65b9\u6cd5\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">F \u7edf\u8ba1\u91cf\u8d8a\u5927\uff0c\u7ec4\u95f4\u7684\u53d8\u5f02\u76f8\u5bf9\u4e8e\u7ec4\u5185\u7684\u53d8\u5f02\u5c31\u8d8a\u5927\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6240\u4ee5\uff0cF\u7edf\u8ba1\u91cf\u8d8a\u5927\uff0c\u8bf4\u660e\u7ec4\u5747\u503c\u4e4b\u95f4\u5b58\u5728\u5dee\u5f02\u8d8a\u660e\u663e\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u5728\u6b64\u793a\u4f8b\u4e2d\u770b\u5230\uff0c\u4e0e F \u7edf\u8ba1\u91cf 7.6952 \u5bf9\u5e94\u7684 p \u503c\u4e3a<strong>.0023<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u8be5\u503c\u5c0f\u4e8e \u03b1 = 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u62d2\u7edd\u65b9\u5dee\u5206\u6790\u7684\u539f\u5047\u8bbe\uff0c\u5e76\u5f97\u51fa\u7ed3\u8bba\uff1a\u4e09\u79cd\u5b66\u4e60\u6280\u672f\u4e0d\u4f1a\u5bfc\u81f4\u8003\u8bd5\u5f97\u5206\u76f8\u540c\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\/\u5355\u5411\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u5355\u56e0\u7d20\u65b9\u5dee\u5206\u6790\u7b80\u4ecb<\/a><br \/><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\/\u5982\u4f55\u62a5\u544a\u65b9\u5dee\u5206\u6790\u7ed3\u679c\/\" target=\"_blank\" rel=\"noopener\">\u5b8c\u6574\u6307\u5357\uff1a\u5982\u4f55\u62a5\u544a\u65b9\u5dee\u5206\u6790\u7ed3\u679c<\/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\u662f\u5426\u76f8\u7b49\u3002 \u5355\u5411\u65b9\u5dee\u5206\u6790\u4f7f\u7528\u4ee5\u4e0b\u539f\u5047\u8bbe\u548c\u5907\u62e9\u5047\u8bbe\uff1a H 0 \uff1a\u6240\u6709 [&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-2503","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>\u65b9\u5dee\u5206\u6790\u4e2d\u7684\u7ec4\u5185\u6216\u7ec4\u95f4\u53d8\u5f02 - 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