{"id":677,"date":"2023-08-22T23:52:42","date_gmt":"2023-01-02T15:54:16","guid":{"rendered":"https:\/\/www.silicloud.com\/zh\/blog\/index.php\/2023\/11\/30\/r%e7%bc%96%e7%a8%8b%e4%b8%ad%e7%9a%84%e5%8d%8f%e6%96%b9%e5%b7%ae%e5%92%8c%e7%9b%b8%e5%85%b3%e6%80%a7\/"},"modified":"2025-08-03T02:42:50","modified_gmt":"2025-08-02T18:42:50","slug":"r%e7%bc%96%e7%a8%8b%e4%b8%ad%e7%9a%84%e5%8d%8f%e6%96%b9%e5%b7%ae%e5%92%8c%e7%9b%b8%e5%85%b3%e6%80%a7","status":"publish","type":"post","link":"https:\/\/www.silicloud.com\/zh\/blog\/r%e7%bc%96%e7%a8%8b%e4%b8%ad%e7%9a%84%e5%8d%8f%e6%96%b9%e5%b7%ae%e5%92%8c%e7%9b%b8%e5%85%b3%e6%80%a7\/","title":{"rendered":"R\u8bed\u8a00\u534f\u65b9\u5dee\u4e0e\u76f8\u5173\u6027\u5206\u6790\uff1a\u5b9e\u7528\u6559\u7a0b\u4e0e\u6848\u4f8b"},"content":{"rendered":"<p>\u8fd9\u662f\u6587\u7ae0\u300aR\u7f16\u7a0b\u4e2d\u7684\u534f\u65b9\u5dee\u548c\u76f8\u5173\u6027\u300b\u7684\u7b2c1\u90e8\u5206\uff08\u51713\u90e8\u5206\uff09\u3002<\/p>\n<p>\u5927\u5bb6\u597d\uff01\u5728\u672c\u7bc7\u6587\u7ae0\u4e2d\uff0c\u6211\u4eec\u5c06\u8be6\u7ec6\u8ba8\u8bbaR\u7f16\u7a0b\u4e2d\u7684\u4e24\u4e2a\u91cd\u8981\u7edf\u8ba1\u53c2\u6570\u2014\u2014\u534f\u65b9\u5dee\u548c\u76f8\u5173\u6027\u3002<\/p>\n<p>\u597d\u4e86\uff0c\u8ba9\u6211\u4eec\u5f00\u59cb\u5427\uff01<\/p>\n<hr \/>\n<h2>R\u7f16\u7a0b\u4e2d\u7684\u534f\u65b9\u5dee<\/h2>\n<p>\u5728\u7edf\u8ba1\u5b66\u91cc\uff0c\u534f\u65b9\u5dee\u662f\u8861\u91cf\u6570\u636e\u96c6\u4e2d\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u5173\u7cfb\u7684\u5ea6\u91cf\u3002\u5373\u5b83\u63cf\u8ff0\u4e86\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u7a0b\u5ea6\u3002<\/p>\n<p>\u4e3e\u4f8b\u6765\u8bf4\uff0c\u5f53\u4e24\u4e2a\u53d8\u91cf\u9ad8\u5ea6\u6b63\u76f8\u5173\u65f6\uff0c\u8fd9\u4e24\u4e2a\u53d8\u91cf\u4f1a\u671d\u7740\u540c\u4e00\u4e2a\u65b9\u5411\u79fb\u52a8\u3002<\/p>\n<p>\u5728\u6570\u636e\u79d1\u5b66\u548c\u673a\u5668\u5b66\u4e60\u9886\u57df\u4e2d\uff0c\u534f\u65b9\u5dee\u5728\u5efa\u6a21\u524d\u7684\u6570\u636e\u9884\u5904\u7406\u4e2d\u975e\u5e38\u6709\u7528\u3002<\/p>\n<p>\u5728R\u7f16\u7a0b\u4e2d\uff0c\u6211\u4eec\u4f7f\u7528cov()\u51fd\u6570\u6765\u8ba1\u7b97\u4e24\u4e2a\u6570\u636e\u6846\u6216\u5411\u91cf\u4e4b\u95f4\u7684\u534f\u65b9\u5dee\u3002<\/p>\n<p>\u6211\u4eec\u5411cov()\u51fd\u6570\u63d0\u4f9b\u4ee5\u4e0b\u4e09\u4e2a\u53c2\u6570\uff1a<\/p>\n<ul class=\"post-ul\">\n<li>x \u2013 \u5411\u91cf1<\/li>\n<li>y \u2013 \u5411\u91cf2<\/li>\n<li>method \u2013 \u8ba1\u7b97\u534f\u65b9\u5dee\u7684\u65b9\u6cd5\uff0c\u5982\u76ae\u5c14\u900a(Pearson)\u3001\u65af\u76ae\u5c14\u66fc(Spearman)\u7b49\u3002\u9ed8\u8ba4\u65b9\u6cd5\u662f\u76ae\u5c14\u900a\u65b9\u6cd5\u3002<\/li>\n<\/ul>\n<pre class=\"post-pre\"><code>a <span class=\"token operator\">&lt;-<\/span> c<span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">8<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">10<\/span><span class=\"token punctuation\">)<\/span> \r\n\r\nb <span class=\"token operator\">&lt;-<\/span> c<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">11<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">33<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">5<\/span><span class=\"token punctuation\">)<\/span> \r\n\r\nprint<span class=\"token punctuation\">(<\/span>cov<span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">,<\/span> b<span class=\"token punctuation\">,<\/span> method <span class=\"token operator\">=<\/span> <span class=\"token string\">\"spearman\"<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> \r\n<\/code><\/pre>\n<p>\u8f93\u51fa\uff1a<\/p>\n<pre class=\"post-pre\"><code><span class=\"token operator\">&gt;<\/span> print<span class=\"token punctuation\">(<\/span>cov<span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">,<\/span> b<span class=\"token punctuation\">,<\/span> method <span class=\"token operator\">=<\/span> <span class=\"token string\">\"spearman\"<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> \r\n<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token number\">1.25<\/span>\r\n<\/code><\/pre>\n<hr \/>\n<h2>R\u7f16\u7a0b\u4e2d\u7684\u76f8\u5173\u6027<\/h2>\n<p>\u57fa\u4e8e\u7edf\u8ba1\u7684\u76f8\u5173\u6027\u662f\u4e00\u79cd\u5bfb\u627e\u53d8\u91cf\u4e4b\u95f4\u5173\u7cfb\u7684\u65b9\u6cd5\uff0c\u5b83\u901a\u8fc7\u5206\u6790\u6570\u636e\u4e2d\u7684\u53d8\u52a8\u6765\u5e2e\u52a9\u6211\u4eec\u7406\u89e3\u4e00\u4e2a\u53d8\u91cf\u7684\u53d8\u5316\u5982\u4f55\u5f71\u54cd\u6570\u636e\u96c6\u4e2d\u7684\u53e6\u4e00\u4e2a\u53d8\u91cf\u3002<\/p>\n<p>\u5f53\u4e24\u4e2a\u53d8\u91cf\u5448\u73b0\u9ad8\u5ea6\uff08\u6b63\uff09\u76f8\u5173\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u8bf4\u8fd9\u4e9b\u53d8\u91cf\u63ed\u793a\u4e86\u76f8\u4f3c\u7684\u4fe1\u606f\uff0c\u5e76\u4e14\u5bf9\u6570\u636e\u96c6\u4e2d\u7684\u5176\u4ed6\u53d8\u91cf\u4ea7\u751f\u7c7b\u4f3c\u7684\u5f71\u54cd\u3002<\/p>\n<p>\u5728R\u8bed\u8a00\u4e2d\uff0ccor()\u51fd\u6570\u5141\u8bb8\u6211\u4eec\u8ba1\u7b97\u6570\u636e\u96c6\u6216\u5411\u91cf\u4e2d\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u5173\u6027\u3002\u4e0b\u9762\u662f\u4e00\u4e2a\u4f7f\u7528\u793a\u4f8b\uff1a<\/p>\n<pre class=\"post-pre\"><code>a &lt;- c(2,4,6,8,10) \r\n\r\nb &lt;- c(1,11,3,33,5) \r\n\r\ncorr = cor(a,b)\r\nprint(corr)\r\n\r\nprint(cor(a, b, method = \"spearman\")) \r\n\r\n<\/code><\/pre>\n<p>\u8f93\u51fa\u7ed3\u679c\uff1a<\/p>\n<pre class=\"post-pre\"><code>&gt; print(corr)\r\n[1] 0.3629504\r\n\r\n&gt; print(cor(a, b, method = \"spearman\")) \r\n[1] 0.5\r\n<\/code><\/pre>\n<hr \/>\n<h2>\u5728R\u4e2d\u5c06\u534f\u65b9\u5dee\u8f6c\u6362\u4e3a\u76f8\u5173\u6027<\/h2>\n<p>\u8fd9\u662f\u6587\u7ae0\u300aR\u7f16\u7a0b\u4e2d\u7684\u534f\u65b9\u5dee\u548c\u76f8\u5173\u6027\u300b\u7684\u7b2c3\u90e8\u5206\uff08\u51713\u90e8\u5206\uff09\u3002<\/p>\n<p>\u5185\u5bb9\u7247\u6bb5\uff1aR\u63d0\u4f9b\u4e86cov2cor()\u51fd\u6570\uff0c\u7528\u4e8e\u5c06\u534f\u65b9\u5dee\u503c\u8f6c\u6362\u4e3a\u76f8\u5173\u7cfb\u6570\u3002\u8be5\u51fd\u6570\u80fd\u591f\u5c06\u534f\u65b9\u5dee\u77e9\u9635\u8f6c\u6362\u4e3a\u76f8\u5173\u7cfb\u6570\u77e9\u9635\u3002<\/p>\n<p>\u6ce8\u610f\uff1a\u5728\u4f7f\u7528\u6b64\u51fd\u6570\u65f6\uff0c\u4f20\u9012\u7ed9cov2cor()\u7684\u77e9\u9635\u5fc5\u987b\u662f\u4e00\u4e2a\u65b9\u9635\uff01<\/p>\n<p>\u4f8b\u5982\uff1a<\/p>\n<p>\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u521b\u5efa\u4e86\u4e24\u4e2a\u5411\u91cfa\u548cb\uff0c\u5e76\u8ba1\u7b97\u5b83\u4eec\u7684\u534f\u65b9\u5dee\u77e9\u9635\u3002\u901a\u8fc7\u4f7f\u7528cov2cor()\u51fd\u6570\uff0c\u6211\u4eec\u5c06\u534f\u65b9\u5dee\u77e9\u9635\u8f6c\u6362\u4e3a\u76f8\u5173\u7cfb\u6570\u77e9\u9635\u3002<\/p>\n<pre class=\"post-pre\"><code># \u521b\u5efa\u4e24\u4e2a\u5411\u91cf\r\na <span class=\"token operator\">&lt;-<\/span> c<span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">8<\/span><span class=\"token punctuation\">)<\/span> \r\nb <span class=\"token operator\">&lt;-<\/span> c<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">11<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">33<\/span><span class=\"token punctuation\">)<\/span> \r\n\r\n# \u5c06\u5411\u91cf\u7ec4\u5408\u6210\u77e9\u9635\r\ndata <span class=\"token operator\">&lt;-<\/span> cbind<span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">,<\/span> b<span class=\"token punctuation\">)<\/span>\r\n\r\n# \u8ba1\u7b97\u534f\u65b9\u5dee\u77e9\u9635\r\ncov_matrix <span class=\"token operator\">&lt;-<\/span> cov<span class=\"token punctuation\">(<\/span>data<span class=\"token punctuation\">)<\/span>\r\nprint<span class=\"token punctuation\">(<\/span><span class=\"token string\">\"\u534f\u65b9\u5dee\u77e9\u9635:\"<\/span><span class=\"token punctuation\">)<\/span>\r\nprint<span class=\"token punctuation\">(<\/span>cov_matrix<span class=\"token punctuation\">)<\/span>\r\n\r\n# \u5c06\u534f\u65b9\u5dee\u77e9\u9635\u8f6c\u6362\u4e3a\u76f8\u5173\u7cfb\u6570\u77e9\u9635\r\ncor_matrix <span class=\"token operator\">&lt;-<\/span> cov2cor<span class=\"token punctuation\">(<\/span>cov_matrix<span class=\"token punctuation\">)<\/span>\r\nprint<span class=\"token punctuation\">(<\/span><span class=\"token string\">\"\u76f8\u5173\u7cfb\u6570\u77e9\u9635:\"<\/span><span class=\"token punctuation\">)<\/span>\r\nprint<span class=\"token punctuation\">(<\/span>cor_matrix<span class=\"token punctuation\">)<\/span>\r\n<\/code><\/pre>\n<p>\u8f93\u51fa\u7ed3\u679c\uff1a<\/p>\n<pre class=\"post-pre\"><code><span class=\"token operator\">&gt;<\/span> <span class=\"token comment\"># \u521b\u5efa\u4e24\u4e2a\u5411\u91cf<\/span>\r\n<span class=\"token operator\">&gt;<\/span> a <span class=\"token operator\">&lt;-<\/span> c<span class=\"token punctuation\">(<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">4<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">6<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">8<\/span><span class=\"token punctuation\">)<\/span>\r\n<span class=\"token operator\">&gt;<\/span> b <span class=\"token operator\">&lt;-<\/span> c<span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">11<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">3<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">33<\/span><span class=\"token punctuation\">)<\/span>\r\n<span class=\"token operator\">&gt;<\/span>\r\n<span class=\"token operator\">&gt;<\/span> <span class=\"token comment\"># \u5c06\u5411\u91cf\u7ec4\u5408\u6210\u77e9\u9635<\/span>\r\n<span class=\"token operator\">&gt;<\/span> data <span class=\"token operator\">&lt;-<\/span> cbind<span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">,<\/span> b<span class=\"token punctuation\">)<\/span>\r\n<span class=\"token operator\">&gt;<\/span>\r\n<span class=\"token operator\">&gt;<\/span> <span class=\"token comment\"># \u8ba1\u7b97\u534f\u65b9\u5dee\u77e9\u9635<\/span>\r\n<span class=\"token operator\">&gt;<\/span> cov_matrix <span class=\"token operator\">&lt;-<\/span> cov<span class=\"token punctuation\">(<\/span>data<span class=\"token punctuation\">)<\/span>\r\n<span class=\"token operator\">&gt;<\/span> print<span class=\"token punctuation\">(<\/span><span class=\"token string\">\"\u534f\u65b9\u5dee\u77e9\u9635:\"<\/span><span class=\"token punctuation\">)<\/span>\r\n<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token string\">\"\u534f\u65b9\u5dee\u77e9\u9635:\"<\/span>\r\n<span class=\"token operator\">&gt;<\/span> print<span class=\"token punctuation\">(<\/span>cov_matrix<span class=\"token punctuation\">)<\/span>\r\n           a         b\r\na  6.666667  29.33333\r\nb 29.333333 178.66667\r\n<span class=\"token operator\">&gt;<\/span>\r\n<span class=\"token operator\">&gt;<\/span> <span class=\"token comment\"># \u5c06\u534f\u65b9\u5dee\u77e9\u9635\u8f6c\u6362\u4e3a\u76f8\u5173\u7cfb\u6570\u77e9\u9635<\/span>\r\n<span class=\"token operator\">&gt;<\/span> cor_matrix <span class=\"token operator\">&lt;-<\/span> cov2cor<span class=\"token punctuation\">(<\/span>cov_matrix<span class=\"token punctuation\">)<\/span>\r\n<span class=\"token operator\">&gt;<\/span> print<span class=\"token punctuation\">(<\/span><span class=\"token string\">\"\u76f8\u5173\u7cfb\u6570\u77e9\u9635:\"<\/span><span class=\"token punctuation\">)<\/span>\r\n<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token string\">\"\u76f8\u5173\u7cfb\u6570\u77e9\u9635:\"<\/span>\r\n<span class=\"token operator\">&gt;<\/span> print<span class=\"token punctuation\">(<\/span>cor_matrix<span class=\"token punctuation\">)<\/span>\r\n          a         b\r\na 1.0000000 0.8504295\r\nb 0.8504295 1.0000000\r\n<\/code><\/pre>\n<hr 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