{"id":679,"date":"2023-07-29T03:09:22","date_gmt":"2023-07-29T03:09:22","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e6%ae%8b%e7%95%99%e7%97%95%e9%87%8f\/"},"modified":"2023-07-29T03:09:22","modified_gmt":"2023-07-29T03:09:22","slug":"%e6%ae%8b%e7%95%99%e7%97%95%e9%87%8f","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e6%ae%8b%e7%95%99%e7%97%95%e9%87%8f\/","title":{"rendered":"\u5982\u4f55\u5728 r \u4e2d\u521b\u5efa\u6b8b\u5dee\u56fe"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u6b8b\u5dee\u56fe<\/strong>\u901a\u5e38\u7528\u4e8e\u8bc4\u4f30\u56de\u5f52\u5206\u6790\u7684<a href=\"https:\/\/statorials.org\/cn\/\u6b8b\u7559\u7269\/\" target=\"_blank\" rel=\"noopener\">\u6b8b\u5dee<\/a>\u662f\u5426\u5448\u6b63\u6001\u5206\u5e03\u4ee5\u53ca\u5b83\u4eec\u662f\u5426\u8868\u73b0<a href=\"https:\/\/statorials.org\/cn\/\u7edf\u8ba1\u5b66\u4ee5\u7b80\u5355\u76f4\u63a5\u7684\u65b9\u5f0f\u89e3\u91ca\u6982\u5ff5\uff0c\u6211\u4eec\u4f7f\u5b66\u4e60\u7edf\u8ba1\u53d8\u5f97\u66f4\u5bb9\u6613\/\" target=\"_blank\" rel=\"noopener\">\u51fa\u5f02\u65b9\u5dee<\/a>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 R \u4e2d\u4e3a\u56de\u5f52\u6a21\u578b\u521b\u5efa\u6b8b\u5dee\u56fe\u3002<\/span><\/p>\n<h3><strong>\u793a\u4f8b\uff1aR \u4e2d\u7684\u6b8b\u5dee\u56fe<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u5728\u6b64\u793a\u4f8b\u4e2d\uff0c\u6211\u4eec\u5c06\u4f7f\u7528<strong>mtcars<\/strong>\u5185\u7f6e R \u6570\u636e\u96c6\u62df\u5408\u56de\u5f52\u6a21\u578b\uff0c\u7136\u540e\u751f\u6210\u4e09\u4e2a\u4e0d\u540c\u7684\u6b8b\u5dee\u56fe\u6765\u5206\u6790\u6b8b\u5dee\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa41\uff1a\u62df\u5408\u56de\u5f52\u6a21\u578b\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u9996\u5148\uff0c\u6211\u4eec\u5c06\u4f7f\u7528<strong>mpg<\/strong>\u4f5c\u4e3a\u54cd\u5e94\u53d8\u91cf\uff0c\u4f7f\u7528<strong>disp<\/strong>\u548c<strong>hp<\/strong>\u4f5c\u4e3a\u89e3\u91ca\u53d8\u91cf\u6765\u62df\u5408\u56de\u5f52\u6a21\u578b\uff1a<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load the dataset<\/span>\ndata(mtcars)\n\n<span style=\"color: #008080;\">#fit a regression model<\/span>\nmodel &lt;- lm(mpg~disp+hp, data=mtcars)\n\n<span style=\"color: #008080;\">#get list of residuals<\/span> \nres &lt;- resid(model)\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\"><strong>\u7b2c 2 \u6b65\uff1a\u751f\u6210\u6b8b\u5dee\u56fe\u6216\u8c03\u6574\u56fe\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u751f\u6210\u6b8b\u5dee\/\u62df\u5408\u56fe\uff0c\u53ef\u7528\u4e8e\u76f4\u89c2\u5730\u68c0\u6d4b\u5f02\u65b9\u5dee\u6027 &#8211; \u4f8b\u5982\u6b8b\u5dee\u5206\u5e03\u5728\u4e00\u7cfb\u5217\u503c\u4e0a\u7684\u7cfb\u7edf\u53d8\u5316\u3002<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#produce residual vs. fitted plot<\/span>\nplot(fitted(model), res)\n\n<span style=\"color: #008080;\">#add a horizontal line at 0<\/span> \nabline(0,0)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6523 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/residplotr1.png\" alt=\"R \u4e2d\u7684\u5269\u4f59\u6216\u8c03\u6574\u5730\u5f62\" width=\"434\" height=\"393\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">x \u8f74\u663e\u793a\u62df\u5408\u503c\uff0cy \u8f74\u663e\u793a\u6b8b\u5dee\u3002\u4ece\u56fe\u4e2d\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u62df\u5408\u503c\u8d8a\u9ad8\uff0c\u6b8b\u5dee\u7684\u5206\u5e03\u5f80\u5f80\u8d8a\u9ad8\uff0c\u4f46\u8fd9\u4f3c\u4e4e\u8fd8\u6ca1\u6709\u4e25\u91cd\u5230\u6211\u4eec\u9700\u8981\u5bf9\u6a21\u578b\u8fdb\u884c\u66f4\u6539\u7684\u7a0b\u5ea6\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u7b2c\u4e09\u6b65\uff1a\u5236\u4f5cQQ\u56fe\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u8fd8\u53ef\u4ee5\u751f\u6210 QQ \u56fe\uff0c\u7528\u4e8e\u786e\u5b9a\u6b8b\u5dee\u662f\u5426\u670d\u4ece\u6b63\u6001\u5206\u5e03\u3002\u5982\u679c\u56fe\u4e2d\u7684\u6570\u636e\u503c\u5927\u81f4\u5448 45 \u5ea6\u89d2\u76f4\u7ebf\u5206\u5e03\uff0c\u5219\u6570\u636e\u5448\u6b63\u6001\u5206\u5e03\u3002<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create QQ plot for residuals\n<\/span>qqnorm(res)\n\n<span style=\"color: #008080;\">#add a straight diagonal line to the plot<\/span>\nqqline(res) \n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6524 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/residplotr2.png\" alt=\"R \u4e2d\u7684\u6b8b\u5dee Q-Q \u56fe\" width=\"435\" height=\"436\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u6b8b\u5dee\u503e\u5411\u4e8e\u7a0d\u5fae\u504f\u79bb\u5c3e\u90e8\u9644\u8fd1\u7684\u7ebf\uff0c\u8fd9\u53ef\u80fd\u8868\u660e\u5b83\u4eec\u4e0d\u662f\u6b63\u6001\u5206\u5e03\u7684\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 4\uff1a\u7ed8\u5236\u5bc6\u5ea6\u56fe\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u8fd8\u53ef\u4ee5\u751f\u6210\u5bc6\u5ea6\u56fe\uff0c\u8fd9\u5bf9\u4e8e\u76ee\u89c6\u68c0\u67e5\u6b8b\u5dee\u662f\u5426\u5448\u6b63\u6001\u5206\u5e03\u4e5f\u5f88\u6709\u7528\u3002\u5982\u679c\u56fe\u5927\u81f4\u5448\u949f\u5f62\uff0c\u5219\u6b8b\u5dee\u53ef\u80fd\u670d\u4ece\u6b63\u6001\u5206\u5e03\u3002<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#Create density plot of residuals<\/span>\nplot(density(res))\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6526 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/residplotr3.png\" alt=\"R \u4e2d\u7684\u6b8b\u4f59\u5bc6\u5ea6\u66f2\u7ebf\" width=\"437\" height=\"432\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u5bc6\u5ea6\u56fe\u5927\u81f4\u5448\u949f\u5f62\uff0c\u5c3d\u7ba1\u7a0d\u5fae\u5411\u53f3\u503e\u659c\u3002\u6839\u636e\u7814\u7a76\u7c7b\u578b\uff0c\u7814\u7a76\u4eba\u5458\u53ef\u80fd\u4f1a\u6216\u53ef\u80fd\u4e0d\u4f1a\u51b3\u5b9a\u5bf9\u6570\u636e\u8fdb\u884c\u8f6c\u6362\uff0c\u4ee5\u786e\u4fdd\u6b8b\u5dee\u66f4\u5448\u6b63\u6001\u5206\u5e03\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/cn\/r-\u4e2d\u6807\u51c6\u5316\u7684\u6b8b\u7559\u7269\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u8ba1\u7b97 R \u4e2d\u7684\u6807\u51c6\u5316\u6b8b\u5dee<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/r-\u5b66\u751f\u5316\u4e2d\u7684\u6b8b\u57fa\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u8ba1\u7b97 R \u4e2d\u7684\u5b66\u751f\u5316\u6b8b\u5dee<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/r-\u4e2d\u6b8b\u5dee\u7684\u76f4\u65b9\u56fe\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u521b\u5efa\u6b8b\u5dee\u76f4\u65b9\u56fe<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6b8b\u5dee\u56fe\u901a\u5e38\u7528\u4e8e\u8bc4\u4f30\u56de\u5f52\u5206\u6790\u7684\u6b8b\u5dee\u662f\u5426\u5448\u6b63\u6001\u5206\u5e03\u4ee5\u53ca\u5b83\u4eec\u662f\u5426\u8868\u73b0\u51fa\u5f02\u65b9\u5dee\u3002 \u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 R \u4e2d\u4e3a\u56de\u5f52\u6a21\u578b\u521b [&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-679","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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