{"id":1246,"date":"2023-07-27T04:01:05","date_gmt":"2023-07-27T04:01:05","guid":{"rendered":"https:\/\/statorials.org\/cn\/r-%e7%9a%84%e6%96%b9%e5%b7%ae\/"},"modified":"2023-07-27T04:01:05","modified_gmt":"2023-07-27T04:01:05","slug":"r-%e7%9a%84%e6%96%b9%e5%b7%ae","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/r-%e7%9a%84%e6%96%b9%e5%b7%ae\/","title":{"rendered":"\u5982\u4f55\u5728 r \u4e2d\u8ba1\u7b97\u6837\u672c\u548c\u603b\u4f53\u65b9\u5dee"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u65b9\u5dee<\/strong>\u662f\u8861\u91cf\u6570\u636e\u503c\u56f4\u7ed5\u5747\u503c\u5206\u5e03\u60c5\u51b5\u7684\u4e00\u79cd\u65b9\u6cd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6c42<a href=\"https:\/\/statorials.org\/cn\/\u603b\u4f53\u4e0e\u6837\u672c\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u603b\u4f53<\/a>\u65b9\u5dee\u7684\u516c\u5f0f\u4e3a\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>\u03c3 <sup>2<\/sup><\/strong> = \u03a3 ( <sub>xi<\/sub> \u2013 \u03bc) <sup>2<\/sup> \/ N<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5176\u4e2d \u03bc \u662f\u603b\u4f53\u5e73\u5747\u503c\uff0cxi \u662f\u603b\u4f53\u7684\u7b2c<sub>i<\/sub><sup>\u4e2a<\/sup>\u5143\u7d20\uff0cN \u662f\u603b\u4f53\u89c4\u6a21\uff0c\u03a3 \u53ea\u662f\u4e00\u4e2a\u5947\u7279\u7684\u7b26\u53f7\uff0c\u8868\u793a\u201c\u603b\u548c\u201d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6c42<a href=\"https:\/\/statorials.org\/cn\/\u6837\u672c\u5e73\u5747\u503c\u4e0e\u603b\u4f53\u5e73\u5747\u503c\u7684\u6bd4\u8f83\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u6837\u672c<\/a>\u65b9\u5dee\u7684\u516c\u5f0f\u4e3a\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>s <sup>2<\/sup><\/strong> = \u03a3 ( <sub>xi<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) <sup>2<\/sup> \/ (n-1)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5176\u4e2d<span style=\"text-decoration: overline;\">x<\/span>\u662f\u6837\u672c\u5747\u503c\uff0cx <sub>i<\/sub>\u662f\u7b2c i<sup>\u4e2a<\/sup>\u6837\u672c\u5143\u7d20\uff0cn \u662f\u6837\u672c\u5927\u5c0f\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a\u8ba1\u7b97 R \u4e2d\u7684\u6837\u672c\u548c\u603b\u4f53\u65b9\u5dee<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u5728 R \u4e2d\u6709\u4ee5\u4e0b\u6570\u636e\u96c6\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define dataset<\/span>\ndata &lt;- c(2, 4, 4, 7, 8, 12, 14, 15, 19, 22)\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528 R \u4e2d\u7684<strong>var()<\/strong>\u51fd\u6570\u8ba1\u7b97<strong>\u6837\u672c\u65b9\u5dee<\/strong>\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate sample variance<\/span>\nvar(data)\n\n[1] 46.01111\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u7b80\u5355\u5730\u5c06\u6837\u672c\u65b9\u5dee\u4e58\u4ee5 (n-1)\/n \u6765\u8ba1\u7b97<strong>\u603b\u4f53\u65b9\u5dee<\/strong>\uff0c\u5982\u4e0b\u6240\u793a\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#determine length of data\n<span style=\"color: #000000;\">n &lt;- <span style=\"color: #3366ff;\">length<\/span> (data)<\/span>\n\n#calculate population variance<\/span>\nvar(data) * (n-1)\/n\n\n[1] 41.41\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c\u603b\u4f53\u65b9\u5dee\u5c06\u59cb\u7ec8\u5c0f\u4e8e\u6837\u672c\u65b9\u5dee\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u5b9e\u8df5\u4e2d\uff0c\u6211\u4eec\u901a\u5e38\u8ba1\u7b97\u6570\u636e\u96c6\u7684\u6837\u672c\u65b9\u5dee\uff0c\u56e0\u4e3a\u6536\u96c6\u6574\u4e2a\u603b\u4f53\u7684\u6570\u636e\u662f\u4e0d\u5bfb\u5e38\u7684\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1a\u8ba1\u7b97\u591a\u5217\u6837\u672c\u7684\u65b9\u5dee<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u5728 R \u4e2d\u6709\u4ee5\u4e0b\u6570\u636e\u6846\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame\n<span style=\"color: #000000;\">data &lt;- data.frame(a=c(1, 3, 4, 4, 6, 7, 8, 12),\n                   b=c(2, 4, 4, 5, 5, 6, 7, 16),\n                   c=c(6, 6, 7, 8, 8, 9, 9, 12))\n\n<span style=\"color: #008080;\">#view data frame<\/span>\ndata\n\n   ABC\n1 1 2 6\n2 3 4 6\n3 4 4 7\n4 4 5 8\n5 6 5 8\n6 7 6 9\n7 8 7 9\n8 12 16 12<\/span><\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<a href=\"https:\/\/statorials.org\/cn\/\u5728-r-\u4e2d\u5e94\u7528-lapply-sapply-\u548c-tapply-\u7684\u6307\u5357\/\" target=\"_blank\" rel=\"noopener noreferrer\">sapply()<\/a>\u51fd\u6570\u6765\u8ba1\u7b97\u6570\u636e\u6846\u4e2d\u6bcf\u4e00\u5217\u7684\u6837\u672c\u65b9\u5dee\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find sample variance of each column\n<span style=\"color: #000000;\">sapply(data, var)\n\n        ABC\n11.696429 18.125000 3.839286<\/span>\n<\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u800c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4e0b\u9762\u7684\u4ee3\u7801\u6765\u8ba1\u7b97\u6bcf\u4e00\u5217\u7684\u6837\u672c\u6807\u51c6\u5dee\uff0c\u7b80\u5355\u6765\u8bf4\u5c31\u662f\u6837\u672c\u65b9\u5dee\u7684\u5e73\u65b9\u6839\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find sample standard deviation of each column\n<span style=\"color: #000000;\">sapply(data, sd)\n\n       ABC\n3.420004 4.257347 1.959410<\/span><\/span><\/strong><\/pre>\n<p><span style=\"color: #000000;\"><em>\u60a8\u53ef\u4ee5<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 noreferrer\">\u5728\u6b64\u5904<\/a>\u627e\u5230\u66f4\u591a R \u6559\u7a0b\u3002<\/em><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u65b9\u5dee\u662f\u8861\u91cf\u6570\u636e\u503c\u56f4\u7ed5\u5747\u503c\u5206\u5e03\u60c5\u51b5\u7684\u4e00\u79cd\u65b9\u6cd5\u3002 \u6c42\u603b\u4f53\u65b9\u5dee\u7684\u516c\u5f0f\u4e3a\uff1a \u03c3 2 = \u03a3 ( xi \u2013 \u03bc) 2 \/ [&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-1246","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\u5728 R \u4e2d\u8ba1\u7b97\u6837\u672c\u548c\u603b\u4f53\u65b9\u5dee<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u51e0\u4e2a\u793a\u4f8b\u89e3\u91ca\u4e86\u5982\u4f55\u5728 R \u4e2d\u8ba1\u7b97\u6837\u672c\u65b9\u5dee\u548c\u603b\u4f53\u65b9\u5dee\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\/r-\u7684\u65b9\u5dee\/\" \/>\n<meta property=\"og:locale\" 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