{"id":3452,"date":"2023-07-17T10:17:33","date_gmt":"2023-07-17T10:17:33","guid":{"rendered":"https:\/\/statorials.org\/cn\/r-%e4%b8%ad%e7%9a%84-aov-%e4%b8%8e-anova\/"},"modified":"2023-07-17T10:17:33","modified_gmt":"2023-07-17T10:17:33","slug":"r-%e4%b8%ad%e7%9a%84-aov-%e4%b8%8e-anova","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/r-%e4%b8%ad%e7%9a%84-aov-%e4%b8%8e-anova\/","title":{"rendered":"\u4f55\u65f6\u5728 r \u4e2d\u4f7f\u7528 aov() \u4e0e anova()"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">R\u4e2d\u7684<strong>aov()<\/strong>\u548c<strong>anova()<\/strong>\u51fd\u6570\u770b\u8d77\u6765\u5f88\u76f8\u4f3c\uff0c\u4f46\u6211\u4eec\u5b9e\u9645\u4e0a\u5728\u4e24\u79cd\u4e0d\u540c\u7684\u573a\u666f\u4e2d\u4f7f\u7528\u5b83\u4eec\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f53\u6211\u4eec\u60f3\u8981\u62df\u5408\u65b9\u5dee\u5206\u6790\u6a21\u578b\u5e76\u5728\u65b9\u5dee\u5206\u6790\u6c47\u603b\u8868\u4e2d\u663e\u793a\u7ed3\u679c\u65f6\uff0c\u6211\u4eec\u4f7f\u7528<strong>aov()<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5f53\u6211\u4eec\u60f3\u8981\u6bd4\u8f83\u5d4c\u5957\u56de\u5f52\u6a21\u578b\u7684\u62df\u5408\u5ea6\u4ee5\u786e\u5b9a\u5177\u6709\u7279\u5b9a\u7cfb\u6570\u96c6\u7684\u56de\u5f52\u6a21\u578b\u662f\u5426\u6bd4\u4ec5\u5177\u6709\u7cfb\u6570\u5b50\u96c6\u7684\u6a21\u578b\u63d0\u4f9b\u66f4\u597d\u7684\u62df\u5408\u65f6\uff0c\u6211\u4eec\u4f7f\u7528<strong>anova()<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5728\u5b9e\u8df5\u4e2d\u4f7f\u7528\u6bcf\u4e2a\u529f\u80fd\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u793a\u4f8b 1\uff1a\u5982\u4f55\u5728 R \u4e2d\u4f7f\u7528 aov()<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u6267\u884c<a href=\"https:\/\/statorials.org\/cn\/\u5355\u5411\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u5355\u5411\u65b9\u5dee\u5206\u6790<\/a>\u6765\u786e\u5b9a\u4e09\u79cd\u4e0d\u540c\u7684\u953b\u70bc\u8ba1\u5212\u662f\u5426\u5bf9\u51cf\u80a5\u6709\u4e0d\u540c\u7684\u5f71\u54cd\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u62db\u52df 90 \u4eba\u53c2\u52a0\u4e00\u9879\u5b9e\u9a8c\uff0c\u968f\u673a\u5206\u914d 30 \u4eba\u9075\u5faa\u8ba1\u5212 A\u3001\u8ba1\u5212 B \u6216\u8ba1\u5212 C\uff0c\u4e3a\u671f\u4e00\u4e2a\u6708\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u4f7f\u7528 R \u4e2d\u7684<strong>aov()<\/strong>\u51fd\u6570\u6765\u6267\u884c\u8fd9\u4e00\u5355\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\n<\/span>set. <span style=\"color: #3366ff;\">seeds<\/span> (0)\n\n<span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (program = rep(c(\"A\", \"B\", \"C\"), each= <span style=\"color: #008000;\">30<\/span> ),\n                 weight_loss = c(runif(30, 0, 3),\n                                 runif(30, 0, 5),\n                                 runif(30, 1, 7)))\n\n<span style=\"color: #008080;\">#fit one-way anova using aov()\n<\/span>fit &lt;- aov(weight_loss ~ program, data=df)\n\n<span style=\"color: #008080;\">#view results\n<\/span>summary(fit)\n\n            Df Sum Sq Mean Sq F value Pr(&gt;F)    \nprogram 2 98.93 49.46 30.83 7.55e-11 ***\nResiduals 87 139.57 1.60                     \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ece\u6a21\u578b\u7ed3\u679c\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u8be5\u8ba1\u5212\u7684p\u503c\uff080.0000000000755\uff09\u5c0f\u4e8e0.05\uff0c\u8fd9\u610f\u5473\u7740\u4e09\u4e2a\u8ba1\u5212\u4e4b\u95f4\u7684\u5e73\u5747\u4f53\u91cd\u51cf\u8f7b\u5b58\u5728\u7edf\u8ba1\u4e0a\u7684\u663e\u7740\u5dee\u5f02\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u793a\u4f8b 2\uff1a\u5982\u4f55\u5728 R \u4e2d\u4f7f\u7528 anova()<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u60f3\u4f7f\u7528<strong>\u5b66\u4e60\u5c0f\u65f6\u6570<\/strong>\u6765\u9884\u6d4b\u67d0\u6240\u5927\u5b66\u5b66\u751f\u7684<strong>\u8003\u8bd5\u6210\u7ee9<\/strong>\u3002\u6211\u4eec\u53ef\u4ee5\u51b3\u5b9a\u91c7\u7528\u4ee5\u4e0b\u4e24\u4e2a\u56de\u5f52\u6a21\u578b\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5b8c\u6574\u6a21\u578b\uff1a<\/strong>\u5206\u6570 = \u03b2 <sub>0<\/sub> + B <sub>1<\/sub> \uff08\u5c0f\u65f6\uff09+ B <sub>2<\/sub> \uff08\u5c0f\u65f6\uff09 <sup>2<\/sup><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b80\u5316\u6a21\u578b\uff1a<\/strong>\u5206\u6570 = \u03b2 <sub>0<\/sub> + B <sub>1<\/sub> \uff08\u5c0f\u65f6\uff09<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u6f14\u793a\u4e86\u5982\u4f55\u4f7f\u7528 R \u4e2d\u7684<strong>anova()<\/strong>\u51fd\u6570\u6267\u884c\u5931\u62df\u68c0\u9a8c\uff0c\u4ee5\u786e\u5b9a\u5b8c\u6574\u6a21\u578b\u662f\u5426\u63d0\u4f9b\u6bd4\u7b80\u5316\u6a21\u578b\u660e\u663e\u66f4\u597d\u7684\u62df\u5408\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<span style=\"color: #000000;\">set. <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#create dataset\n<\/span>df &lt;- data.frame(hours = runif(50, 5, 15), score=50)\ndf$score = df$score + df$hours^3\/150 + df$hours*runif(50, 1, 2)\n\n<span style=\"color: #008080;\">#view head of data\n<\/span>head(df)\n\n      hours score\n1 7.655087 64.30191\n2 8.721239 70.65430\n3 10.728534 73.66114\n4 14.082078 86.14630\n5 7.016819 59.81595\n6 13.983897 83.60510\n\n<span style=\"color: #008080;\">#fit full model\n<\/span>full &lt;- lm(score ~ poly(hours,2), data=df)\n\n<span style=\"color: #008080;\">#fit reduced model\n<\/span>reduced &lt;- lm(score ~ hours, data=df)\n\n<span style=\"color: #008080;\">#perform lack of fit test using anova()\n<\/span>anova(full, reduced)\n\nAnalysis of Variance Table\n\nModel 1: score ~ poly(hours, 2)\nModel 2: score ~ hours\n  Res.Df RSS Df Sum of Sq F Pr(&gt;F)   \n1 47 368.48                                \n2 48 451.22 -1 -82.744 10.554 0.002144 **\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/span><\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u8f93\u51fa\u8868\u4e2d\u7684 p \u503c (0.002144) \u5c0f\u4e8e 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u62d2\u7edd\u68c0\u9a8c\u7684\u539f\u5047\u8bbe\uff0c\u5e76\u5f97\u51fa\u7ed3\u8bba\uff1a\u5b8c\u6574\u6a21\u578b\u5728\u7edf\u8ba1\u4e0a\u6bd4\u7b80\u5316\u6a21\u578b\u63d0\u4f9b\u4e86\u663e\u7740\u66f4\u597d\u7684\u62df\u5408\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\u89e3\u91ca\u4e86\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u5176\u4ed6\u5e38\u89c1\u4efb\u52a1\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u5355\u56e0\u7d20\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u5355\u5411\u65b9\u5dee\u5206\u6790<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u4e24\u56e0\u7d20\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u53cc\u5411\u65b9\u5dee\u5206\u6790<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/r\u4e2d\u7684\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u91cd\u590d\u6d4b\u91cf\u65b9\u5dee\u5206\u6790<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>R\u4e2d\u7684aov()\u548canova()\u51fd\u6570\u770b\u8d77\u6765\u5f88\u76f8\u4f3c\uff0c\u4f46\u6211\u4eec\u5b9e\u9645\u4e0a\u5728\u4e24\u79cd\u4e0d\u540c\u7684\u573a\u666f\u4e2d\u4f7f\u7528\u5b83\u4eec\u3002 \u5f53\u6211\u4eec\u60f3\u8981\u62df\u5408\u65b9\u5dee [&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-3452","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\/ 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