{"id":1508,"date":"2023-07-26T02:42:57","date_gmt":"2023-07-26T02:42:57","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e9%98%b6%e4%b9%98%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90\/"},"modified":"2023-07-26T02:42:57","modified_gmt":"2023-07-26T02:42:57","slug":"%e9%98%b6%e4%b9%98%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e9%98%b6%e4%b9%98%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90\/","title":{"rendered":"\u4ec0\u4e48\u662f\u9636\u4e58\u65b9\u5dee\u5206\u6790\uff1f \uff08\u5b9a\u4e49&amp;#038\uff1b\u793a\u4f8b\uff09"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u9636\u4e58\u65b9\u5dee\u5206\u6790<\/strong>\u662f\u4f7f\u7528\u4e24\u4e2a\u6216\u591a\u4e2a\u72ec\u7acb\u56e0\u5b50\u548c\u5355\u4e2a\u54cd\u5e94\u53d8\u91cf\u7684\u4efb\u4f55\u65b9\u5dee\u5206\u6790\uff08\u201c\u65b9\u5dee\u5206\u6790\u201d\uff09\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6bcf\u5f53\u60a8\u60f3\u8981\u4e86\u89e3\u4e24\u4e2a\u6216\u591a\u4e2a\u56e0\u7d20\u5982\u4f55\u5f71\u54cd<a href=\"https:\/\/statorials.org\/cn\/\u53d8\u91cf\u89e3\u91ca\u6027\u53cd\u5e94\/\" target=\"_blank\" rel=\"noopener\">\u54cd\u5e94\u53d8\u91cf<\/a>\u4ee5\u53ca\u8fd9\u4e9b\u56e0\u7d20\u4e4b\u95f4\u662f\u5426\u5bf9\u54cd\u5e94\u53d8\u91cf\u5b58\u5728\u4ea4\u4e92\u4f5c\u7528\u65f6\uff0c\u5c31\u5e94\u8be5\u4f7f\u7528\u8fd9\u79cd\u7c7b\u578b\u7684\u65b9\u5dee\u5206\u6790\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14968 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/factorielleanova1.png\" alt=\"\u9636\u4e58\u65b9\u5dee\u5206\u6790\" width=\"539\" height=\"474\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u63d0\u4f9b\u4e86\u51e0\u4e2a\u53ef\u4ee5\u4f7f\u7528\u9636\u4e58\u65b9\u5dee\u5206\u6790\u7684\u60c5\u51b5\u793a\u4f8b\uff0c\u4ee5\u53ca\u5982\u4f55\u6267\u884c\u9636\u4e58\u65b9\u5dee\u5206\u6790\u7684\u5206\u6b65\u793a\u4f8b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8\u610f\uff1a<\/strong><a href=\"https:\/\/statorials.org\/cn\/\u53cc\u5411\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u53cc\u5411\u65b9\u5dee\u5206\u6790<\/a>\u662f\u9636\u4e58\u65b9\u5dee\u5206\u6790\u7684\u4e00\u79cd\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u4f7f\u7528\u9636\u4e58\u65b9\u5dee\u5206\u6790\u7684\u793a\u4f8b<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u9636\u4e58\u65b9\u5dee\u5206\u6790\u53ef\u7528\u4e8e\u4ee5\u4e0b\u6bcf\u79cd\u60c5\u51b5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5b9e\u65bd\u4f8b1\uff1a\u690d\u7269\u751f\u957f<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u690d\u7269\u5b66\u5bb6\u60f3\u8981\u4e86\u89e3\u9633\u5149\u7167\u5c04\u548c\u6d47\u6c34\u9891\u7387\u5982\u4f55\u5f71\u54cd\u690d\u7269\u751f\u957f\u3002\u5979\u79cd\u4e0b\u4e86 100 \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\u4e09\u4e2a\u6708\u3002\u4e09\u4e2a\u6708\u540e\uff0c\u5979\u8bb0\u5f55\u4e86\u6bcf\u682a\u690d\u7269\u7684\u9ad8\u5ea6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u5b83\u5177\u6709\u4ee5\u4e0b\u53d8\u91cf\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u54cd\u5e94\u53d8\u91cf\uff1a<\/strong>\u690d\u7269\u751f\u957f<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u56e0\u7d20\uff1a<\/strong>\u9633\u5149\u7167\u5c04\u3001\u6d47\u6c34\u9891\u7387<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5979\u60f3\u56de\u7b54\u4ee5\u4e0b\u95ee\u9898\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u9633\u5149\u7167\u5c04\u4f1a\u5f71\u54cd\u690d\u7269\u751f\u957f\u5417\uff1f<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6d47\u6c34\u9891\u7387\u4f1a\u5f71\u54cd\u690d\u7269\u751f\u957f\u5417\uff1f<\/span><\/li>\n<li><span style=\"color: #000000;\">\u9633\u5149\u7167\u5c04\u548c\u6d47\u6c34\u9891\u7387\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u4ea4\u4e92\u4f5c\u7528\uff1f<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5979\u53ef\u80fd\u4f1a\u4f7f\u7528\u9636\u4e58\u65b9\u5dee\u5206\u6790\u8fdb\u884c\u6b64\u5206\u6790\uff0c\u56e0\u4e3a\u5979\u60f3\u4e86\u89e3\u4e24\u4e2a\u56e0\u7d20\u5982\u4f55\u5f71\u54cd\u5355\u4e2a\u54cd\u5e94\u53d8\u91cf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u793a\u4f8b 2\uff1a\u8003\u8bd5\u7ed3\u679c<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6559\u6388\u60f3\u8981\u4e86\u89e3\u4e0a\u8bfe\u65f6\u95f4\u548c\u6559\u5b66\u65b9\u6cd5\u5982\u4f55\u5f71\u54cd\u8003\u8bd5\u6210\u7ee9\u3002\u5b83\u91c7\u7528\u4e24\u79cd\u4e0d\u540c\u7684\u6559\u5b66\u65b9\u6cd5\u548c\u4e24\u79cd\u4e0d\u540c\u7684\u6559\u5b66\u65f6\u95f4\uff08\u6e05\u6668\u548c\u4e0b\u5348\u65e9\u4e9b\u65f6\u5019\uff09\uff0c\u5e76\u8bb0\u5f55\u6bcf\u4e2a\u5b66\u751f\u5728\u5b66\u671f\u7ed3\u675f\u65f6\u7684\u5e73\u5747\u8003\u8bd5\u6210\u7ee9\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u5b83\u5177\u6709\u4ee5\u4e0b\u53d8\u91cf\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u54cd\u5e94\u53d8\u91cf\uff1a<\/strong>\u8003\u8bd5\u6210\u7ee9<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u5f71\u54cd\u56e0\u7d20\uff1a<\/strong>\u6559\u5b66\u65b9\u6cd5\u3001\u6559\u5b66\u65f6\u95f4<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4ed6\u60f3\u56de\u7b54\u4ee5\u4e0b\u95ee\u9898\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6559\u5b66\u65b9\u6cd5\u4f1a\u5f71\u54cd\u8003\u8bd5\u6210\u7ee9\u5417\uff1f<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6559\u5b66\u65f6\u95f4\u4f1a\u5f71\u54cd\u8003\u8bd5\u6210\u7ee9\u5417\uff1f<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6559\u5b66\u65b9\u6cd5\u548c\u6559\u5b66\u65f6\u95f4\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u4ea4\u4e92\u4f5c\u7528\uff1f<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4ed6\u53ef\u80fd\u4f1a\u4f7f\u7528\u9636\u4e58\u65b9\u5dee\u5206\u6790\u8fdb\u884c\u6b64\u5206\u6790\uff0c\u56e0\u4e3a\u4ed6\u60f3\u4e86\u89e3\u4e24\u4e2a\u56e0\u7d20\u5982\u4f55\u5f71\u54cd\u5355\u4e2a\u54cd\u5e94\u53d8\u91cf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u793a\u4f8b3\uff1a\u5e74\u6536\u5165<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u7ecf\u6d4e\u5b66\u5bb6\u6536\u96c6\u6570\u636e\u4ee5\u4e86\u89e3\u6559\u80b2\u6c34\u5e73\uff08\u9ad8\u4e2d\u6587\u51ed\u3001\u5927\u5b66\u6587\u51ed\u3001\u7814\u7a76\u751f\u5b66\u4f4d\uff09\u3001\u5a5a\u59fb\u72b6\u51b5\uff08\u5355\u8eab\u3001\u79bb\u5a5a\u3001\u5df2\u5a5a\uff09\u548c\u5730\u533a\uff08\u5317\u90e8\u3001\u4e1c\u90e8\u3001\u5357\u90e8\u3001\u897f\u90e8\uff09\u5982\u4f55\u5f71\u54cd\u5e74\u6536\u5165\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u5b83\u5177\u6709\u4ee5\u4e0b\u53d8\u91cf\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u54cd\u5e94\u53d8\u91cf\uff1a<\/strong>\u5e74\u6536\u5165<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u56e0\u7d20\uff1a<\/strong>\u6559\u80b2\u7a0b\u5ea6\u3001\u5a5a\u59fb\u72b6\u51b5\u3001\u5730\u533a<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4ed6\u60f3\u56de\u7b54\u4ee5\u4e0b\u95ee\u9898\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u6559\u80b2\u7a0b\u5ea6\u5f71\u54cd\u6536\u5165\u5417\uff1f<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5a5a\u59fb\u72b6\u51b5\u5f71\u54cd\u6536\u5165\u5417\uff1f<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5730\u57df\u5f71\u54cd\u6536\u5165\u5417\uff1f<\/span><\/li>\n<li><span style=\"color: #000000;\">\u8fd9\u4e09\u4e2a\u72ec\u7acb\u56e0\u7d20\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u4ea4\u4e92\u4f5c\u7528\uff1f<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4ed6\u53ef\u80fd\u4f1a\u4f7f\u7528\u9636\u4e58\u65b9\u5dee\u5206\u6790\u8fdb\u884c\u6b64\u5206\u6790\uff0c\u56e0\u4e3a\u4ed6\u60f3\u4e86\u89e3\u4e09\u4e2a\u56e0\u7d20\u5982\u4f55\u5f71\u54cd\u5355\u4e2a\u54cd\u5e94\u53d8\u91cf\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u9636\u4e58\u65b9\u5dee\u5206\u6790\u7684\u5206\u6b65\u793a\u4f8b<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u690d\u7269\u5b66\u5bb6\u60f3\u77e5\u9053\u9633\u5149\u7167\u5c04\u548c\u6d47\u6c34\u9891\u7387\u662f\u5426\u4f1a\u5f71\u54cd\u690d\u7269\u751f\u957f\u3002\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<\/span><\/p>\n<p><span style=\"color: #000000;\">\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\" alt=\"\" width=\"392\" height=\"241\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u5728\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=\"size-full wp-image-1453 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2wayanova2.png\" alt=\"\" width=\"392\" height=\"241\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u690d\u7269\u5b66\u5bb6\u4f7f\u7528\u6b64\u6570\u636e<a href=\"https:\/\/statorials.org\/cn\/\u53cc\u5411\u65b9\u5dee\u5206\u6790excel\/\" target=\"_blank\" rel=\"noopener\">\u5728 Excel \u4e2d\u6267\u884c\u9636\u4e58\u65b9\u5dee\u5206\u6790<\/a>\u5e76\u83b7\u5f97\u4ee5\u4e0b\u7ed3\u679c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1457 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2wayanova6-1.jpg\" alt=\"\" width=\"626\" height=\"575\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6700\u540e\u4e00\u4e2a\u8868\u663e\u793a\u4e86\u9636\u4e58\u65b9\u5dee\u5206\u6790\u7684\u7ed3\u679c\uff1a<\/span><\/p>\n<ul>\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 alpha \u6c34\u5e73\u4e0a\u5e76\u4e0d\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6d47\u6c34\u9891\u7387\u7684 p \u503c\u4e3a<strong>0.975975<\/strong> \u3002\u8fd9\u5728 0.05 alpha \u6c34\u5e73\u4e0a\u5e76\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 \u7684 alpha \u6c34\u5e73\u4e0b\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u5f97\u51fa\u7ed3\u8bba\uff0c\u66b4\u9732\u5728\u9633\u5149\u4e0b\u662f\u5bf9\u690d\u7269\u751f\u957f\u5177\u6709\u7edf\u8ba1\u663e\u7740\u5f71\u54cd\u7684\u552f\u4e00\u56e0\u7d20\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u8fd8\u53ef\u4ee5\u5f97\u51fa\u7ed3\u8bba\uff0c\u9633\u5149\u7167\u5c04\u548c\u6d47\u6c34\u9891\u7387\u4e4b\u95f4\u4e0d\u5b58\u5728\u4ea4\u4e92\u4f5c\u7528\uff0c\u5e76\u4e14\u6d47\u6c34\u9891\u7387\u5bf9\u690d\u7269\u751f\u957f\u6ca1\u6709\u7edf\u8ba1\u4e0a\u663e\u7740\u7684\u5f71\u54cd\u3002\u690d\u7269\u3002<\/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\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\u5411\u65b9\u5dee\u5206\u6790\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u53cc\u5411\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u53cc\u5411\u65b9\u5dee\u5206\u6790\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u65b9\u5dee\u5206\u6790\u91cd\u590d\u6d4b\u91cf\/\" target=\"_blank\" rel=\"noopener\">\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790\u7b80\u4ecb<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u65b9\u5dee\u5206\u6790-ancova-\u65b9\u5dee\u5206\u6790-mancova-\u4e4b\u95f4\u7684\u5dee\u5f02\/\" target=\"_blank\" rel=\"noopener\">ANOVA\u3001ANCOVA\u3001MANOVA \u548c MANCOVA 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