{"id":3404,"date":"2023-07-17T16:31:52","date_gmt":"2023-07-17T16:31:52","guid":{"rendered":"https:\/\/statorials.org\/cn\/2x4-%e5%9b%a0%e5%ad%90%e8%ae%be%e8%ae%a1\/"},"modified":"2023-07-17T16:31:52","modified_gmt":"2023-07-17T16:31:52","slug":"2x4-%e5%9b%a0%e5%ad%90%e8%ae%be%e8%ae%a1","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/2x4-%e5%9b%a0%e5%ad%90%e8%ae%be%e8%ae%a1\/","title":{"rendered":"\u5b8c\u6574\u6307\u5357\uff1a2\u00d74 \u56e0\u5b50\u8bbe\u8ba1"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>2 \u00d7 4 \u56e0\u5b50\u8bbe\u8ba1<\/strong>\u662f\u4e00\u79cd\u5b9e\u9a8c\u8bbe\u8ba1\uff0c\u53ef\u8ba9\u7814\u7a76\u4eba\u5458\u4e86\u89e3\u4e24\u4e2a\u81ea\u53d8\u91cf\u5bf9\u5355\u4e2a\u56e0\u53d8\u91cf\u7684\u5f71\u54cd\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u8fd9\u79cd\u7c7b\u578b\u7684\u8bbe\u8ba1\u4e2d\uff0c\u4e00\u4e2a\u81ea\u53d8\u91cf\u6709\u4e24\u4e2a<a href=\"https:\/\/statorials.org\/cn\/\u81ea\u53d8\u91cf\u6c34\u5e73\/\" target=\"_blank\" rel=\"noopener\">\u6c34\u5e73<\/a>\uff0c\u53e6\u4e00\u4e2a\u81ea\u53d8\u91cf\u6709\u56db\u4e2a\u6c34\u5e73\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-28543 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2x4_1.jpg\" alt=\"\" width=\"344\" height=\"260\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u690d\u7269\u5b66\u5bb6\u60f3\u8981\u4e86\u89e3\u9633\u5149\uff08\u65e0\u9633\u5149\u3001\u4f4e\u9633\u5149\u3001\u4e2d\u9633\u5149\u6216\u9ad8\u9633\u5149\uff09\u548c\u6d47\u6c34\u9891\u7387\uff08\u6bcf\u5929\u6216\u6bcf\u5468\uff09\u5bf9\u67d0\u79cd\u690d\u7269\u7269\u79cd\u751f\u957f\u7684\u5f71\u54cd\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-28544 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2x4_2.jpg\" alt=\"\" width=\"324\" height=\"244\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u662f 2 \u00d7 4 \u56e0\u5b50\u8bbe\u8ba1\u7684\u793a\u4f8b\uff0c\u56e0\u4e3a\u6709\u4e24\u4e2a\u81ea\u53d8\u91cf\uff0c\u4e00\u4e2a\u6709\u4e24\u4e2a\u6c34\u5e73\uff0c\u4e00\u4e2a\u6709\u56db\u4e2a\u6c34\u5e73\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u81ea\u53d8\u91cf#1\uff1a<\/strong>\u9633\u5149<\/span>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u7ea7\u522b\uff1a<\/strong>\u65e0\u3001\u4f4e\u3001\u4e2d\u3001\u9ad8<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #000000;\"><strong>\u81ea\u53d8\u91cf#2\uff1a<\/strong>\u6d47\u6c34\u9891\u7387<\/span>\n<ul>\n<li><span style=\"color: #000000;\"><strong>\u7ea7\u522b\uff1a<\/strong>\u6bcf\u65e5\u3001\u6bcf\u5468<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u8fd8\u6709\u4e00\u4e2a\u56e0\u53d8\u91cf\uff1a\u690d\u7269\u751f\u957f\u3002<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>2 \u00d7 4 \u56e0\u5b50\u8bbe\u8ba1\u7684\u76ee\u7684<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">2\u00d74 \u56e0\u5b50\u8bbe\u8ba1\u53ef\u4ee5\u5206\u6790\u4ee5\u4e0b\u6548\u5e94\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4e3b\u6548\u5e94\uff1a<\/strong>\u8fd9\u4e9b\u662f\u5355\u4e2a\u81ea\u53d8\u91cf\u5bf9\u56e0\u53d8\u91cf\u7684\u5f71\u54cd\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5728\u6211\u4eec\u4e4b\u524d\u7684\u573a\u666f\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u5206\u6790\u4ee5\u4e0b\u4e3b\u8981\u5f71\u54cd\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u9633\u5149\u5bf9\u690d\u7269\u751f\u957f\u7684\u4e3b\u8981\u5f71\u54cd\u3002<\/span>\n<ul>\n<li><span style=\"color: #000000;\">\u6240\u6709\u6ca1\u6709\u63a5\u53d7\u9633\u5149\u7684\u690d\u7269\u7684\u5e73\u5747\u751f\u957f\u60c5\u51b5\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6240\u6709\u63a5\u53d7\u4f4e\u5149\u7167\u7684\u690d\u7269\u7684\u5e73\u5747\u751f\u957f\u60c5\u51b5\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6240\u6709\u63a5\u53d7\u5e73\u5747\u9633\u5149\u7167\u5c04\u7684\u690d\u7269\u7684\u5e73\u5747\u751f\u957f\u60c5\u51b5\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6240\u6709\u63a5\u53d7\u5f3a\u9633\u5149\u7167\u5c04\u7684\u690d\u7269\u7684\u5e73\u5747\u751f\u957f\u60c5\u51b5\u3002<\/span><\/li>\n<\/ul>\n<\/li>\n<li><span style=\"color: #000000;\">\u6d47\u6c34\u9891\u7387\u5bf9\u690d\u7269\u751f\u957f\u7684\u4e3b\u8981\u5f71\u54cd\u3002<\/span>\n<ul>\n<li><span style=\"color: #000000;\">\u6bcf\u5929\u6d47\u6c34\u7684\u6240\u6709\u690d\u7269\u7684\u5e73\u5747\u751f\u957f\u60c5\u51b5\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6bcf\u5468\u6d47\u6c34\u7684\u6240\u6709\u690d\u7269\u7684\u5e73\u5747\u751f\u957f\u60c5\u51b5\u3002<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p><span style=\"color: #000000;\"><strong>\u4ea4\u4e92\u6548\u5e94\uff1a<\/strong>\u5f53\u4e00\u4e2a\u81ea\u53d8\u91cf\u5bf9\u56e0\u53d8\u91cf\u7684\u5f71\u54cd\u53d6\u51b3\u4e8e\u53e6\u4e00\u4e2a\u81ea\u53d8\u91cf\u7684\u6c34\u5e73\u65f6\uff0c\u5c31\u4f1a\u53d1\u751f\u4ea4\u4e92\u6548\u5e94\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5728\u6211\u4eec\u4e4b\u524d\u7684\u573a\u666f\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u5206\u6790\u4ee5\u4e0b\u4ea4\u4e92\u6548\u679c\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u9633\u5149\u5bf9\u690d\u7269\u751f\u957f\u7684\u5f71\u54cd\u53d6\u51b3\u4e8e\u6d47\u6c34\u9891\u7387\u5417\uff1f<\/span><\/li>\n<li><span style=\"color: #000000;\">\u6d47\u6c34\u9891\u7387\u5bf9\u690d\u7269\u751f\u957f\u7684\u5f71\u54cd\u53d6\u51b3\u4e8e\u9633\u5149\u5417\uff1f<\/span><\/li>\n<\/ul>\n<h2><span style=\"color: #000000;\"><strong>\u5982\u4f55\u5206\u6790 2 \u00d7 4 \u56e0\u5b50\u8bbe\u8ba1<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u6267\u884c<a href=\"https:\/\/statorials.org\/cn\/\u53cc\u5411\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u53cc\u5411\u65b9\u5dee\u5206\u6790<\/a>\u6765\u6b63\u5f0f\u6d4b\u8bd5\u81ea\u53d8\u91cf\u4e0e\u56e0\u53d8\u91cf\u662f\u5426\u5177\u6709\u7edf\u8ba1\u663e\u7740\u5173\u7cfb\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u4e86\u5982\u4f55\u5728 R \u4e2d\u5bf9\u5047\u8bbe\u7684\u5de5\u5382\u573a\u666f\u6267\u884c\u53cc\u5411\u65b9\u5dee\u5206\u6790\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible<\/span>\nset. <span style=\"color: #3366ff;\">seeds<\/span> (0)\n\n<span style=\"color: #008080;\">#createdata\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (sunlight = rep(c(' <span style=\"color: #ff0000;\">None<\/span> ', ' <span style=\"color: #ff0000;\">Low<\/span> ', ' <span style=\"color: #ff0000;\">Medium<\/span> ', ' <span style=\"color: #ff0000;\">High<\/span> '), each= <span style=\"color: #008000;\">10<\/span> , times= <span style=\"color: #008000;\">2<\/span> ),\n                 water = rep(c(' <span style=\"color: #ff0000;\">Daily<\/span> ', ' <span style=\"color: #ff0000;\">Weekly<\/span> '), each= <span style=\"color: #008000;\">40<\/span> , times= <span style=\"color: #008000;\">2<\/span> ),\n                 growth = c(rnorm(10, 8, 2), rnorm(10, 8, 3), rnorm(10, 13, 2),\n                            rnorm(10, 14, 3), rnorm(10, 10, 4), rnorm(10, 12, 3),\n                            rnorm(10, 13, 2), rnorm(10, 14, 4)))\n\n<span style=\"color: #008080;\">#fit the two-way ANOVA model\n<\/span>model &lt;- aov(growth ~ sunlight * water, data = df)\n\n<span style=\"color: #008080;\">#view the model output\n<\/span>summary(model)\n\n                Df Sum Sq Mean Sq F value Pr(&gt;F)    \nsunlight 3 744.1 248.04 34.16 &lt; 2e-16 ***\nwater 1 43.1 43.05 5.93 0.016 *  \nsunlight:water 3 195.8 65.27 8.99 1.61e-05 ***\nResiduals 152 1103.5 7.26                     \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u89e3\u91ca\u65b9\u5dee\u5206\u6790\u7ed3\u679c\u7684\u65b9\u6cd5\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4e3b\u8981\u6548\u5e94#1\uff08\u9633\u5149\uff09<\/strong> \uff1a\u4e0e\u9633\u5149\u76f8\u5173\u7684 p \u503c\u4e3a<strong>&lt;2e-16<\/strong> \u3002\u7531\u4e8e\u8fd9\u4e2a\u6570\u5b57\u5c0f\u4e8e0.05\uff0c\u8fd9\u610f\u5473\u7740\u66b4\u9732\u5728\u9633\u5149\u4e0b\u5bf9\u690d\u7269\u751f\u957f\u5177\u6709\u7edf\u8ba1\u4e0a\u663e\u7740\u7684\u5f71\u54cd\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u4e3b\u6548\u5e94#2\uff08\u6c34\uff09<\/strong> \uff1a\u4e0e\u6c34\u76f8\u5173\u7684 p \u503c\u4e3a<strong>0.016<\/strong> \u3002\u7531\u4e8e\u8fd9\u4e2a\u6570\u5b57\u5c0f\u4e8e0.05\uff0c\u8fd9\u610f\u5473\u7740\u6d47\u6c34\u9891\u7387\u5bf9\u690d\u7269\u751f\u957f\u4e5f\u6709\u7edf\u8ba1\u4e0a\u663e\u7740\u7684\u5f71\u54cd\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u76f8\u4e92\u4f5c\u7528\u6548\u5e94<\/strong>\uff1a\u9633\u5149\u548c\u6c34\u4e4b\u95f4\u76f8\u4e92\u4f5c\u7528\u7684 p \u503c\u4e3a<strong>0.000061<\/strong> \u3002\u7531\u4e8e\u8be5\u503c\u5c0f\u4e8e0.05\uff0c\u8bf4\u660e\u9633\u5149\u4e0e\u6c34\u4e4b\u95f4\u5b58\u5728\u76f8\u4e92\u4f5c\u7528\u6548\u5e94\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\u5b9e\u9a8c\u8bbe\u8ba1\u548c\u5206\u6790\u7684\u66f4\u591a\u4fe1\u606f\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/2x2-\u56e0\u5b50\u8bbe\u8ba1\/\" target=\"_blank\" rel=\"noopener\">\u5b8c\u6574\u6307\u5357\uff1a2 \u00d7 2 \u56e0\u5b50\u8bbe\u8ba1<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/2x3-\u56e0\u5b50\u8bbe\u8ba1\/\" target=\"_blank\" rel=\"noopener\">\u5b8c\u6574\u6307\u5357\uff1a2 \u00d7 3 \u56e0\u5b50\u8bbe\u8ba1<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u9636\u4e58\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u4ec0\u4e48\u662f\u9636\u4e58\u65b9\u5dee\u5206\u6790\uff1f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2 \u00d7 4 \u56e0\u5b50\u8bbe\u8ba1\u662f\u4e00\u79cd\u5b9e\u9a8c\u8bbe\u8ba1\uff0c\u53ef\u8ba9\u7814\u7a76\u4eba\u5458\u4e86\u89e3\u4e24\u4e2a\u81ea\u53d8\u91cf\u5bf9\u5355\u4e2a\u56e0\u53d8\u91cf\u7684\u5f71\u54cd\u3002 \u5728\u8fd9\u79cd\u7c7b\u578b\u7684\u8bbe\u8ba1\u4e2d\uff0c\u4e00\u4e2a\u81ea [&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-3404","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>\u5b8c\u6574\u6307\u5357\uff1a2x4 \u56e0\u5b50\u8bbe\u8ba1 - Statorials<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u4ecb\u7ecd 2x4 \u56e0\u5b50\u8bbe\u8ba1\uff0c\u5305\u62ec\u5b9a\u4e49\u548c\u793a\u4f8b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/cn\/2x4-\u56e0\u5b50\u8bbe\u8ba1\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" 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