{"id":918,"date":"2023-07-28T07:59:26","date_gmt":"2023-07-28T07:59:26","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e9%a9%ac%e5%93%88%e6%8b%89%e8%af%ba%e6%af%94%e6%96%af%e8%b7%9d%e7%a6%bb-r\/"},"modified":"2023-07-28T07:59:26","modified_gmt":"2023-07-28T07:59:26","slug":"%e9%a9%ac%e5%93%88%e6%8b%89%e8%af%ba%e6%af%94%e6%96%af%e8%b7%9d%e7%a6%bb-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e9%a9%ac%e5%93%88%e6%8b%89%e8%af%ba%e6%af%94%e6%96%af%e8%b7%9d%e7%a6%bb-r\/","title":{"rendered":"\u5982\u4f55\u8ba1\u7b97r\u4e2d\u7684\u9a6c\u6c0f\u8ddd\u79bb"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u9a6c\u54c8\u62c9\u8bfa\u6bd4\u65af\u8ddd\u79bb<\/strong>\u662f\u591a\u5143\u7a7a\u95f4\u4e2d\u4e24\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5b83\u901a\u5e38\u7528\u4e8e\u68c0\u6d4b\u6d89\u53ca\u591a\u4e2a\u53d8\u91cf\u7684\u7edf\u8ba1\u5206\u6790\u4e2d\u7684\u5f02\u5e38\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u8ba1\u7b97 R \u4e2d\u7684\u9a6c\u54c8\u62c9\u8bfa\u6bd4\u65af\u8ddd\u79bb\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1aR \u4e2d\u7684\u9a6c\u54c8\u62c9\u8bfa\u6bd4\u65af\u8ddd\u79bb<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97 R \u6570\u636e\u96c6\u4e2d\u6bcf\u4e2a<a href=\"https:\/\/statorials.org\/cn\/\u7edf\u8ba1\u89c2\u5bdf\/\" target=\"_blank\" rel=\"noopener\">\u89c2\u6d4b\u503c<\/a>\u7684\u9a6c\u6c0f\u8ddd\u79bb\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 1\uff1a\u521b\u5efa\u6570\u636e\u96c6\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u9996\u5148\uff0c\u6211\u4eec\u5c06\u521b\u5efa\u4e00\u4e2a\u6570\u636e\u96c6\uff0c\u663e\u793a 20 \u540d\u5b66\u751f\u7684\u8003\u8bd5\u6210\u7ee9\uff0c\u4ee5\u53ca\u4ed6\u4eec\u5b66\u4e60\u6240\u7528\u7684\u5c0f\u65f6\u6570\u3001\u53c2\u52a0\u7684\u6a21\u62df\u8003\u8bd5\u6b21\u6570\u4ee5\u53ca\u4ed6\u4eec\u5f53\u524d\u8bfe\u7a0b\u7684\u6210\u7ee9\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data<\/span>\ndf = data.frame(score = c(91, 93, 72, 87, 86, 73, 68, 87, 78, 99, 95, 76, 84, 96, 76, 80, 83, 84, 73, 74) ,\n        hours = c(16, 6, 3, 1, 2, 3, 2, 5, 2, 5, 2, 3, 4, 3, 3, 3, 4, 3, 4, 4),\n        prep = c(3, 4, 0, 3, 4, 0, 1, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2),\n        grade = c(70, 88, 80, 83, 88, 84, 78, 94, 90, 93, 89, 82, 95, 94, 81, 93, 93, 90, 89, 89))\n\n<span style=\"color: #008080;\">#view first six rows of data\n<\/span>head(df)\n\n  score hours prep grade\n1 91 16 3 70\n2 93 6 4 88\n3 72 3 0 80\n4 87 1 3 83\n5 86 2 4 88\n6 73 3 0 84\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 2\uff1a\u8ba1\u7b97\u6bcf\u4e2a\u89c2\u6d4b\u503c\u7684\u9a6c\u6c0f\u8ddd\u79bb\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u4f7f\u7528 R \u4e2d\u5185\u7f6e\u7684<a href=\"https:\/\/stat.ethz.ch\/R-manual\/R-devel\/library\/stats\/html\/mahalanobis.html\" target=\"_blank\" rel=\"noopener noreferrer\">Mahalanobis()<\/a>\u51fd\u6570\u6765\u8ba1\u7b97\u6bcf\u4e2a\u89c2\u6d4b\u503c\u7684 Mahalanobis \u8ddd\u79bb\uff0c\u8be5\u51fd\u6570\u4f7f\u7528\u4ee5\u4e0b\u8bed\u6cd5\uff1a<\/span><\/p>\n<p><strong><span style=\"color: #000000;\">\u9a6c\u54c8\u62c9\u8bfa\u6bd4\u65af\uff08x\uff0c\u4e2d\u5fc3\uff0ccov\uff09<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x\uff1a<\/strong>\u6570\u636e\u77e9\u9635<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u4e2d\u5fc3\uff1a<\/strong>\u5206\u5e03\u7684\u5e73\u5747\u5411\u91cf<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>cov\uff1a<\/strong>\u5206\u5e03\u534f\u65b9\u5dee\u77e9\u9635<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u4e3a\u6211\u4eec\u7684\u6570\u636e\u96c6\u5b9e\u73b0\u6b64\u51fd\u6570\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate Mahalanobis distance for each observation<\/span>\nmahalanobis(df, colMeans(df), cov(df))\n\n [1] 16.5019630 2.6392864 4.8507973 5.2012612 3.8287341 4.0905633\n [7] 4.2836303 2.4198736 1.6519576 5.6578253 3.9658770 2.9350178\n[13] 2.8102109 4.3682945 1.5610165 1.4595069 2.0245748 0.7502536\n[19] 2.7351292 2.2642268\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 3\uff1a\u8ba1\u7b97\u6bcf\u4e2a\u9a6c\u54c8\u62c9\u8bfa\u6bd4\u65af\u8ddd\u79bb\u7684 p \u503c\u3002<\/strong><\/span> <\/p>\n<div id=\"mv-first-video\" class=\"mv-video-target mv-video__featured mv-video__optimized mv-video__embedded\" data-video-id=\"tmdycgxksxqpmqpu0vbx\" data-autoplay=\"true\" data-automobile=\"true\" data-muted=\"true\" data-sticky=\"true\" data-autoinsert=\"true\" data-disable-jsonld=\"true\" data-video-placement-inited=\"true\">\n<div id=\"mediavine-video__target-div__8330b88d-7ed9-463c-85d3-dc370a4c9ab3\" class=\"mediavine-video__target-div\">\n<div class=\"mediavine-video__root-container\">\n<div class=\"mediavine-video__placement-container mediavine-video__bottom mediavine-video__right mediavine-video__dark-theme\">\n<div class=\"mediavine-video__title-bar\">\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u4e00\u4e9b\u9a6c\u54c8\u62c9\u8bfa\u6bd4\u65af\u8ddd\u79bb\u6bd4\u5176\u4ed6\u8ddd\u79bb\u5927\u5f97\u591a\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u786e\u5b9a\u4efb\u4f55\u8ddd\u79bb\u662f\u5426\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027\uff0c\u6211\u4eec\u9700\u8981\u8ba1\u7b97\u5b83\u4eec\u7684<a href=\"https:\/\/statorials.org\/cn\/p\u503c\u7edf\u8ba1\u663e\u7740\u6027\/\" target=\"_blank\" rel=\"noopener\">p \u503c<\/a>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6bcf\u4e2a\u8ddd\u79bb\u7684 p \u503c\u8ba1\u7b97\u4e3a\u4e0e\u5177\u6709 k-1 \u81ea\u7531\u5ea6\u7684 Mahalanobis \u8ddd\u79bb\u7684\u5361\u65b9\u7edf\u8ba1\u91cf\u76f8\u5bf9\u5e94\u7684 p \u503c\uff0c\u5176\u4e2d k = \u53d8\u91cf\u6570\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\u5728\u672c\u4f8b\u4e2d\u6211\u4eec\u5c06\u4f7f\u7528\u81ea\u7531\u5ea6 4-1 = 3\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create new column in data frame to hold Mahalanobis distances<\/span>\ndf$mahal &lt;- mahalanobis(df, colMeans(df), cov(df))\n\n<span style=\"color: #008080;\">#create new column in data frame to hold p-value for each Mahalanobis distance\n<\/span>df$p &lt;- <span style=\"color: #3366ff;\">pchisq<\/span> (df$mahal, df= <span style=\"color: #339966;\">3<\/span> , lower.tail=FALSE)\n\n<span style=\"color: #008080;\">#view data frame\n<\/span>df\n\n   score hours prep grade mahal p\n1 91 16 3 70 16.5019630 0.0008945642\n2 93 6 4 88 2.6392864 0.4506437265\n3 72 3 0 80 4.8507973 0.1830542407\n4 87 1 3 83 5.2012612 0.1576392526\n5 86 2 4 88 3.8287341 0.2805615121\n6 73 3 0 84 4.0905633 0.2518495222\n7 68 2 1 78 4.2836303 0.2324211504\n8 87 5 2 94 2.4198736 0.4899458807\n9 78 2 1 90 1.6519576 0.6476670033\n10 99 5 2 93 5.6578253 0.1294978092\n11 95 2 3 89 3.9658770 0.2651724541\n12 76 3 3 82 2.9350178 0.4017530495\n13 84 4 3 95 2.8102109 0.4218217836\n14 96 3 2 94 4.3682945 0.2243432904\n15 76 3 2 81 1.5610165 0.6682610031\n16 80 3 2 93 1.4595069 0.6916471506\n17 83 4 3 93 2.0245748 0.5673218169\n18 84 3 3 90 0.7502536 0.8613248635\n19 73 4 2 89 2.7351292 0.4342904353\n20 74 4 2 89 2.2642268 0.5194087143\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u901a\u5e38\uff0c<strong>\u5c0f\u4e8e 0.001 \u7684<\/strong>p \u503c\u88ab\u89c6\u4e3a\u5f02\u5e38\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u7b2c\u4e00\u4e2a\u89c2\u6d4b\u503c\u662f\u6570\u636e\u96c6\u4e2d\u7684\u5f02\u5e38\u503c\uff0c\u56e0\u4e3a\u5b83\u7684 p \u503c\u5c0f\u4e8e 0.001\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6839\u636e\u95ee\u9898\u7684\u4e0a\u4e0b\u6587\uff0c\u60a8\u53ef\u80fd\u51b3\u5b9a\u4ece\u6570\u636e\u96c6\u4e2d\u5220\u9664\u6b64\u89c2\u5bdf\u503c\uff0c\u56e0\u4e3a\u5b83\u662f\u5f02\u5e38\u503c\uff0c\u53ef\u80fd\u4f1a\u5f71\u54cd\u5206\u6790\u7ed3\u679c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\"><b>\u76f8\u5173\uff1a<\/b><\/span> <a href=\"https:\/\/statorials.org\/cn\/\u591a\u5143\u6b63\u6001\u6027\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u591a\u5143\u6b63\u6001\u6027\u68c0\u9a8c<\/a><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u9a6c\u54c8\u62c9\u8bfa\u6bd4\u65af\u8ddd\u79bb\u662f\u591a\u5143\u7a7a\u95f4\u4e2d\u4e24\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002 \u5b83\u901a\u5e38\u7528\u4e8e\u68c0\u6d4b\u6d89\u53ca\u591a\u4e2a\u53d8\u91cf\u7684\u7edf\u8ba1\u5206\u6790\u4e2d\u7684\u5f02\u5e38\u503c\u3002 \u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55 [&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-918","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>\u5982\u4f55\u8ba1\u7b97 R \u4e2d\u7684\u9a6c\u6c0f\u8ddd\u79bb - Statorials<\/title>\n<meta name=\"description\" content=\"\u901a\u8fc7\u793a\u4f8b\u7b80\u5355\u89e3\u91ca\u5982\u4f55\u8ba1\u7b97 R \u4e2d\u7684\u9a6c\u54c8\u62c9\u8bfa\u6bd4\u65af\u8ddd\u79bb\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\/\u9a6c\u54c8\u62c9\u8bfa\u6bd4\u65af\u8ddd\u79bb-r\/\" 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