{"id":1572,"date":"2023-07-25T20:07:28","date_gmt":"2023-07-25T20:07:28","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%8d%95%e5%90%91%e4%b8%8e%e5%8f%8c%e5%90%91%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90\/"},"modified":"2023-07-25T20:07:28","modified_gmt":"2023-07-25T20:07:28","slug":"%e5%8d%95%e5%90%91%e4%b8%8e%e5%8f%8c%e5%90%91%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%8d%95%e5%90%91%e4%b8%8e%e5%8f%8c%e5%90%91%e6%96%b9%e5%b7%ae%e5%88%86%e6%9e%90\/","title":{"rendered":"\u5355\u5411\u6216\u53cc\u5411\u65b9\u5dee\u5206\u6790\uff1a\u4f55\u65f6\u4f7f\u7528\u5b83\u4eec\uff1f"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u65b9\u5dee\u5206\u6790<strong>\uff08ANOVA\uff09<\/strong>\u662f\u201c\u65b9\u5dee\u5206\u6790\u201d\u7684\u7f29\u5199\uff0c\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\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e24\u79cd\u6700\u5e38\u89c1\u7684\u65b9\u5dee\u5206\u6790\u7c7b\u578b\u662f\u5355\u5411\u65b9\u5dee\u5206\u6790\u548c\u53cc\u5411\u65b9\u5dee\u5206\u6790\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5355\u5411\u65b9\u5dee\u5206\u6790\uff1a<\/strong>\u7528\u4e8e\u786e\u5b9a\u56e0\u7d20\u5982\u4f55\u5f71\u54cd\u54cd\u5e94\u53d8\u91cf\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15580 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway_twoway1.png\" alt=\"\" width=\"532\" height=\"97\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\"><strong>\u53cc\u5411\u65b9\u5dee\u5206\u6790\uff1a<\/strong>\u7528\u4e8e\u786e\u5b9a\u4e24\u4e2a\u56e0\u7d20\u5982\u4f55\u5f71\u54cd\u54cd\u5e94\u53d8\u91cf\uff0c\u4ee5\u53ca\u786e\u5b9a\u4e24\u4e2a\u56e0\u7d20\u5bf9\u54cd\u5e94\u53d8\u91cf\u662f\u5426\u5b58\u5728\u4ea4\u4e92\u4f5c\u7528\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15581 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway_twoway2.png\" alt=\"\" width=\"530\" height=\"193\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u63d0\u4f9b\u4e86\u5982\u4f55\u6267\u884c\u6bcf\u79cd\u7c7b\u578b\u7684\u65b9\u5dee\u5206\u6790\u7684\u793a\u4f8b\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a\u5355\u5411\u65b9\u5dee\u5206\u6790<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u4e00\u4f4d\u6559\u6388\u60f3\u77e5\u9053\u4e09\u79cd\u4e0d\u540c\u7684\u5b66\u4e60\u65b9\u6cd5\u662f\u5426\u4f1a\u5bfc\u81f4\u4e0d\u540c\u7684\u8003\u8bd5\u6210\u7ee9\u3002\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u4ed6\u62db\u52df\u4e86 30 \u540d\u5b66\u751f\u53c2\u52a0\u4e00\u9879\u7814\u7a76\uff0c\u5e76\u968f\u673a\u8981\u6c42\u6bcf\u4e2a\u4eba\u4f7f\u7528\u4e09\u79cd\u6280\u5de7\u4e2d\u7684\u4e00\u79cd\u6765\u51c6\u5907\u8003\u8bd5\u3002\u4e00\u4e2a\u6708\u540e\uff0c\u6240\u6709\u5b66\u751f\u53c2\u52a0\u76f8\u540c\u7684\u8003\u8bd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6bcf\u4f4d\u5b66\u751f\u7684\u6d4b\u8bd5\u7ed3\u679c\u5982\u4e0b\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15582 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway_twoway3.png\" alt=\"\" width=\"228\" height=\"288\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6559\u6388\u8fdb\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790\u5e76\u83b7\u5f97\u4ee5\u4e0b\u7ed3\u679c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15583 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway_twoway4.png\" alt=\"\" width=\"495\" height=\"326\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">F \u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<strong>2.3575<\/strong> \uff0c\u76f8\u5e94\u7684 p \u503c\u4e3a<strong>0.1138<\/strong> \u3002\u7531\u4e8e\u8be5 p \u503c\u4e0d\u5c0f\u4e8e 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u6ca1\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\u8fd9\u4e09\u79cd\u5b66\u4e60\u6280\u5de7\u5bfc\u81f4\u4e86\u4e0d\u540c\u7684\u5e73\u5747\u8003\u8bd5\u6210\u7ee9\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a\u53cc\u5411\u65b9\u5dee\u5206\u6790<\/strong><\/span><\/h3>\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\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=\" wp-image-15585 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway_twoway5.png\" alt=\"\" width=\"408\" height=\"266\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6559\u6388\u8fdb\u884c\u4e86\u53cc\u5411\u65b9\u5dee\u5206\u6790\u5e76\u5f97\u5230\u4ee5\u4e0b\u7ed3\u679c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15586 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway_twoway6.png\" alt=\"\" width=\"506\" height=\"154\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u5982\u4f55\u89e3\u91ca\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>0.000003<\/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;\">\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\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><strong>\u5b9e\u7528\uff1a\u60a8\u5e94\u8be5\u4f7f\u7528\u54ea\u79cd\u65b9\u5dee\u5206\u6790\uff1f<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u4ee5\u4e0b\u7ec3\u4e60\u9898\u53ef\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u4f55\u65f6\u5e94\u8be5\u4f7f\u7528\u5355\u5411\u6216\u53cc\u5411\u65b9\u5dee\u5206\u6790\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u95ee\u9898\u4e00\uff1a\u519c\u4e1a<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u519c\u6c11\u60f3\u77e5\u9053\u4e09\u79cd\u4e0d\u540c\u7684\u80a5\u6599\u662f\u5426\u4f1a\u5bfc\u81f4\u4e0d\u540c\u7684\u4ea7\u91cf\u3002\u4e3a\u4e86\u6d4b\u8bd5\u8fd9\u4e00\u70b9\uff0c\u4ed6\u5c06\u6bcf\u79cd\u7c7b\u578b\u7684\u80a5\u6599\u6492\u5728 10 \u4e2a\u4e0d\u540c\u7684\u7530\u5730\u4e0a\uff0c\u5e76\u6d4b\u91cf\u751f\u957f\u5b63\u8282\u7ed3\u675f\u65f6\u7684\u603b\u4ea7\u91cf\u3002<\/span><\/p>\n<p><em><span style=\"color: #000000;\">\u4ed6\u5e94\u8be5\u4f7f\u7528\u4ec0\u4e48\u7c7b\u578b\u7684\u65b9\u5dee\u5206\u6790\u6765\u786e\u5b9a\u4e0d\u540c\u7684\u80a5\u6599\u662f\u5426\u4f1a\u5bfc\u81f4\u4e0d\u540c\u7684\u4f5c\u7269\u4ea7\u91cf\uff1f<\/span><\/em><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b54\u6848\uff1a<\/strong>\u4ed6\u5e94\u8be5\u4f7f\u7528\u5355\u5411\u65b9\u5dee\u5206\u6790\uff0c\u56e0\u4e3a\u4ed6\u53ea\u8003\u8651\u4e00\u4e2a\u56e0\u7d20\uff1a\u80a5\u6599\u3002\u5355\u5411\u65b9\u5dee\u5206\u6790\u53ef\u4ee5\u544a\u8bc9\u4ed6\u4e09\u79cd\u4e0d\u540c\u7c7b\u578b\u80a5\u6599\u4e4b\u95f4\u7684\u4f5c\u7269\u4ea7\u91cf\u662f\u5426\u5b58\u5728\u7edf\u8ba1\u4e0a\u7684\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u95ee\u9898#2\uff1a\u751f\u7269\u5b66<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u751f\u7269\u5b66\u5bb6\u60f3\u77e5\u9053\u4e0d\u540c\u7684\u571f\u58e4\u6c34\u5e73\uff08\u4f4e\u3001\u4e2d\u3001\u9ad8\uff09\u548c\u6d47\u6c34\u9891\u7387\uff08\u6bcf\u5468\u3001\u6bcf\u6708\uff09\u5982\u4f55\u5f71\u54cd\u7279\u5b9a\u690d\u7269\u7684\u751f\u957f\u3002<\/span><\/p>\n<p><em><span style=\"color: #000000;\">\u5e94\u4f7f\u7528\u54ea\u79cd\u7c7b\u578b\u7684\u65b9\u5dee\u5206\u6790\u6765\u786e\u5b9a\u9633\u5149\u7167\u5c04\u548c\u6d47\u6c34\u9891\u7387\u7684\u4e0d\u540c\u7ec4\u5408\u662f\u5426\u4f1a\u5bfc\u81f4\u690d\u7269\u751f\u957f\u6c34\u5e73\u4e0d\u540c\uff1f<\/span><\/em><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b54\u6848\uff1a<\/strong>\u5979\u5e94\u8be5\u4f7f\u7528\u53cc\u5411\u65b9\u5dee\u5206\u6790\uff0c\u56e0\u4e3a\u5979\u6b63\u5728\u8003\u8651\u4e24\u4e2a\u56e0\u7d20\uff1a\u9633\u5149\u7167\u5c04\u548c\u6d47\u6c34\u9891\u7387\u3002\u53cc\u5411\u65b9\u5dee\u5206\u6790\u53ef\u4ee5\u5224\u65ad\u6bcf\u4e2a\u56e0\u7d20\u7684\u4e0d\u540c\u6c34\u5e73\u662f\u5426\u5bf9\u690d\u7269\u751f\u957f\u4ea7\u751f\u4e0d\u540c\u7684\u5f71\u54cd\uff0c\u4ee5\u53ca\u9633\u5149\u548c\u6d47\u6c34\u9891\u7387\u5bf9\u690d\u7269\u751f\u957f\u662f\u5426\u5b58\u5728\u4ea4\u4e92\u4f5c\u7528\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u95ee\u9898#3\uff1a\u836f\u7269<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e00\u4f4d\u533b\u5b66\u7814\u7a76\u4eba\u5458\u60f3\u77e5\u9053\u56db\u79cd\u4e0d\u540c\u7684\u836f\u7269\u662f\u5426\u4f1a\u5bfc\u81f4\u60a3\u8005\u8840\u538b\u7684\u5e73\u5747\u964d\u4f4e\u7a0b\u5ea6\u4e0d\u540c\u3002\u5b83\u968f\u673a\u5206\u914d 20 \u540d\u60a3\u8005\u4f7f\u7528\u6bcf\u79cd\u836f\u7269\u4e00\u4e2a\u6708\uff0c\u7136\u540e\u6d4b\u91cf\u6bcf\u4f4d\u60a3\u8005\u8840\u538b\u7684\u964d\u4f4e\u60c5\u51b5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><em>\u5e94\u4f7f\u7528\u54ea\u79cd\u7c7b\u578b\u7684\u65b9\u5dee\u5206\u6790\u6765\u786e\u5b9a\u56db\u79cd\u4e0d\u540c\u836f\u7269\u662f\u5426\u5177\u6709\u4e0d\u540c\u7684\u964d\u4f4e\u8840\u538b\u6548\u679c\uff1f<\/em><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b54\u6848\uff1a<\/strong>\u4ed6\u5e94\u8be5\u4f7f\u7528\u5355\u5411\u65b9\u5dee\u5206\u6790\uff0c\u56e0\u4e3a\u4ed6\u53ea\u8003\u8651\u4e00\u4e2a\u56e0\u7d20\uff1a\u836f\u7269\u7c7b\u578b\u3002\u5355\u5411\u65b9\u5dee\u5206\u6790\u53ef\u4ee5\u544a\u8bc9\u4ed6\u56db\u79cd\u836f\u7269\u4e4b\u95f4\u7684\u5e73\u5747\u8840\u538b\u964d\u4f4e\u662f\u5426\u5b58\u5728\u7edf\u8ba1\u5b66\u4e0a\u7684\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u4ee5\u4e0b\u6559\u7a0b\u53ef\u4ee5\u66f4\u597d\u5730\u7406\u89e3\u5355\u5411\u65b9\u5dee\u5206\u6790\uff1a<\/span><\/p>\n<ul>\n<li><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><\/li>\n<li><a href=\"https:\/\/statorials.org\/cn\/excel\u5355\u5411\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790<\/a><\/li>\n<li><a href=\"https:\/\/statorials.org\/cn\/\u5355\u56e0\u7d20\u65b9\u5dee\u5206\u6790\/\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790<\/a><\/li>\n<\/ul>\n<p><span style=\"color: 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