{"id":1097,"date":"2023-07-27T16:34:56","date_gmt":"2023-07-27T16:34:56","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%b0%86%e6%95%b0%e6%8d%ae%e8%bd%ac%e6%8d%a2%e4%b8%bar\/"},"modified":"2023-07-27T16:34:56","modified_gmt":"2023-07-27T16:34:56","slug":"%e5%b0%86%e6%95%b0%e6%8d%ae%e8%bd%ac%e6%8d%a2%e4%b8%bar","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%b0%86%e6%95%b0%e6%8d%ae%e8%bd%ac%e6%8d%a2%e4%b8%bar\/","title":{"rendered":"\u5982\u4f55\u5728 r \u4e2d\u8f6c\u6362\u6570\u636e\uff08\u5bf9\u6570\u3001\u5e73\u65b9\u6839\u3001\u7acb\u65b9\u6839\uff09"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u8bb8\u591a\u7edf\u8ba1\u68c0\u9a8c\u5047\u8bbe<a href=\"https:\/\/statorials.org\/cn\/\u53d8\u91cf\u89e3\u91ca\u6027\u53cd\u5e94\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u54cd\u5e94\u53d8\u91cf<\/a>\u7684\u6b8b\u5dee\u5448\u6b63\u6001\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u6b8b\u5dee\u901a\u5e38<em>\u4e0d<\/em>\u5448\u6b63\u6001\u5206\u5e03\u3002\u89e3\u51b3\u6b64\u95ee\u9898\u7684\u4e00\u79cd\u65b9\u6cd5\u662f\u4f7f\u7528\u4ee5\u4e0b\u4e09\u79cd\u8f6c\u6362\u4e4b\u4e00\u6765\u8f6c\u6362\u54cd\u5e94\u53d8\u91cf\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u5bf9\u6570\u53d8\u6362\uff1a<\/strong>\u5c06\u54cd\u5e94\u53d8\u91cf\u4ece y \u53d8\u6362\u4e3a<strong>log(y)<\/strong> \u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u5e73\u65b9\u6839\u53d8\u6362\uff1a<\/strong>\u5c06\u54cd\u5e94\u53d8\u91cf\u4ece y \u53d8\u6362\u4e3a<strong><span style=\"text-decoration: overline;\">\u221ay<\/span><\/strong> \u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. \u7acb\u65b9\u6839\u53d8\u6362\uff1a<\/strong>\u5c06\u54cd\u5e94\u53d8\u91cf\u4ece y \u53d8\u6362\u4e3a<strong>y <sup>1\/3<\/sup><\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u901a\u8fc7\u6267\u884c\u8fd9\u4e9b\u53d8\u6362\uff0c\u54cd\u5e94\u53d8\u91cf\u901a\u5e38\u8fd1\u4f3c\u6b63\u6001\u5206\u5e03\u3002\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u8fd9\u4e9b\u8f6c\u6362\u3002<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>R \u4e2d\u7684\u5bf9\u6570\u53d8\u6362<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u5982\u4f55\u5bf9\u54cd\u5e94\u53d8\u91cf\u6267\u884c\u65e5\u5fd7\u8f6c\u6362\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame<\/span>\ndf &lt;- data.frame(y=c(1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 6, 7, 8),\n                 x1=c(7, 7, 8, 3, 2, 4, 4, 6, 6, 7, 5, 3, 3, 5, 8),\n                 x2=c(3, 3, 6, 6, 8, 9, 9, 8, 8, 7, 4, 3, 3, 2, 7))\n\n<span style=\"color: #008080;\">#perform log transformation\n<\/span>log_y &lt;- log10(df$y)\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u5982\u4f55\u521b\u5efa\u76f4\u65b9\u56fe\u6765\u663e\u793a\u6267\u884c\u5bf9\u6570\u8f6c\u6362\u4e4b\u524d\u548c\u4e4b\u540e<em>y<\/em>\u7684\u5206\u5e03\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create histogram for original distribution<\/span>\nhist(df$y, col='steelblue', main='Original')\n\n<span style=\"color: #008080;\">#create histogram for log-transformed distribution<\/span> \nhist(log_y, col='coral2', main='Log Transformed')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11185 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/transformationr1.png\" alt=\"R \u4e2d\u7684\u65e5\u5fd7\u6570\u636e\u8f6c\u6362\" width=\"677\" height=\"333\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\u5bf9\u6570\u53d8\u6362\u540e\u7684\u5206\u5e03\u6bd4\u539f\u59cb\u5206\u5e03\u66f4\u52a0\u6b63\u6001\u3002\u5b83\u4ecd\u7136\u4e0d\u662f\u5b8c\u7f8e\u7684\u201c\u949f\u5f62\u201d\uff0c\u4f46\u5b83\u6bd4\u539f\u59cb\u5206\u5e03\u66f4\u63a5\u8fd1\u6b63\u6001\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e8b\u5b9e\u4e0a\uff0c\u5982\u679c\u6211\u4eec\u5bf9\u6bcf\u4e2a\u5206\u5e03\u8fdb\u884c<a href=\"https:\/\/statorials.org\/cn\/\u590f\u76ae\u7f57\u5a01\u5c14\u514b\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener noreferrer\">Shapiro-Wilk \u68c0\u9a8c<\/a>\uff0c\u6211\u4eec\u4f1a\u53d1\u73b0\u539f\u59cb\u5206\u5e03\u4e0d\u7b26\u5408\u6b63\u6001\u6027\u5047\u8bbe\uff0c\u800c\u5bf9\u6570\u53d8\u6362\u5206\u5e03\u5219\u4e0d\u7136\uff08\u03b1 = 0.05 \u65f6\uff09\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform Shapiro-Wilk Test on original data<\/span>\nshapiro.test(df$y)\n\n\tShapiro-Wilk normality test\n\ndata: df$y\nW = 0.77225, p-value = 0.001655\n\n<span style=\"color: #008080;\">#perform Shapiro-Wilk Test on log-transformed data<\/span> \nshapiro.test(log_y)\n<span style=\"vertical-align: inherit;\"><span style=\"vertical-align: inherit;\">\n\tShapiro-Wilk normality test<\/span><\/span>\n\ndata:log_y\nW = 0.89089, p-value = 0.06917<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>R\u4e2d\u7684\u5e73\u65b9\u6839\u53d8\u6362<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u5982\u4f55\u5bf9\u54cd\u5e94\u53d8\u91cf\u6267\u884c\u5e73\u65b9\u6839\u53d8\u6362\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame<\/span>\ndf &lt;- data.frame(y=c(1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 6, 7, 8),\n                 x1=c(7, 7, 8, 3, 2, 4, 4, 6, 6, 7, 5, 3, 3, 5, 8),\n                 x2=c(3, 3, 6, 6, 8, 9, 9, 8, 8, 7, 4, 3, 3, 2, 7))\n\n<span style=\"color: #008080;\">#perform square root transformation\n<\/span>sqrt_y &lt;- sqrt(df$y)\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u521b\u5efa\u76f4\u65b9\u56fe\u6765\u663e\u793a\u6267\u884c\u5e73\u65b9\u6839\u53d8\u6362\u4e4b\u524d\u548c\u4e4b\u540e<em>y<\/em>\u7684\u5206\u5e03\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create histogram for original distribution<\/span>\nhist(df$y, col='steelblue', main='Original')\n\n<span style=\"color: #008080;\">#create histogram for square root-transformed distribution<\/span> \nhist(sqrt_y, col='coral2', main='Square Root Transformed')<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11186 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/transformerr2.png\" alt=\"R\u4e2d\u7684\u5e73\u65b9\u6839\u53d8\u6362\" width=\"675\" height=\"335\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\u5e73\u65b9\u6839\u53d8\u6362\u540e\u7684\u5206\u5e03\u6bd4\u539f\u59cb\u5206\u5e03\u66f4\u52a0\u6b63\u6001\u5206\u5e03\u3002<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>R\u4e2d\u7684\u7acb\u65b9\u6839\u53d8\u6362<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u5982\u4f55\u5bf9\u54cd\u5e94\u53d8\u91cf\u6267\u884c\u7acb\u65b9\u6839\u53d8\u6362\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame<\/span>\ndf &lt;- data.frame(y=c(1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 6, 7, 8),\n                 x1=c(7, 7, 8, 3, 2, 4, 4, 6, 6, 7, 5, 3, 3, 5, 8),\n                 x2=c(3, 3, 6, 6, 8, 9, 9, 8, 8, 7, 4, 3, 3, 2, 7))\n\n<span style=\"color: #008080;\">#perform square root transformation\n<\/span>cube_y &lt;- df$y^(1\/3)\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u521b\u5efa\u76f4\u65b9\u56fe\u6765\u663e\u793a\u6267\u884c\u5e73\u65b9\u6839\u53d8\u6362\u4e4b\u524d\u548c\u4e4b\u540e<em>y<\/em>\u7684\u5206\u5e03\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create histogram for original distribution<\/span>\nhist(df$y, col='steelblue', main='Original')\n\n<span style=\"color: #008080;\">#create histogram for square root-transformed distribution<\/span> \nhist(cube_y, col='coral2', main='Cube Root Transformed')<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11187 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/transformerr3.png\" alt=\"R\u4e2d\u7684\u7acb\u65b9\u6839\u53d8\u6362\" width=\"678\" height=\"330\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\">\u6839\u636e\u60a8\u7684\u6570\u636e\u96c6\uff0c\u8fd9\u4e9b\u8f6c\u6362\u4e4b\u4e00\u53ef\u80fd\u4f1a\u751f\u6210\u6bd4\u5176\u4ed6\u6570\u636e\u96c6\u66f4\u5448\u6b63\u6001\u5206\u5e03\u7684\u65b0\u6570\u636e\u96c6\u3002<\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8bb8\u591a\u7edf\u8ba1\u68c0\u9a8c\u5047\u8bbe\u54cd\u5e94\u53d8\u91cf\u7684\u6b8b\u5dee\u5448\u6b63\u6001\u5206\u5e03\u3002 \u7136\u800c\uff0c\u6b8b\u5dee\u901a\u5e38\u4e0d\u5448\u6b63\u6001\u5206\u5e03\u3002\u89e3\u51b3\u6b64\u95ee\u9898\u7684\u4e00\u79cd\u65b9\u6cd5\u662f\u4f7f\u7528\u4ee5\u4e0b\u4e09\u79cd\u8f6c\u6362 [&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-1097","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\u8f6c\u6362\u6570\u636e\uff08\u5bf9\u6570\u3001\u5e73\u65b9\u6839\u3001\u7acb\u65b9\u6839\uff09<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u51e0\u4e2a\u793a\u4f8b\u89e3\u91ca\u4e86\u5982\u4f55\u5728 R \u4e2d\u8f6c\u6362\u6570\u636e\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\/\u5c06\u6570\u636e\u8f6c\u6362\u4e3ar\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5982\u4f55\u5728 R \u4e2d\u8f6c\u6362\u6570\u636e\uff08\u5bf9\u6570\u3001\u5e73\u65b9\u6839\u3001\u7acb\u65b9\u6839\uff09\" \/>\n<meta property=\"og:description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u51e0\u4e2a\u793a\u4f8b\u89e3\u91ca\u4e86\u5982\u4f55\u5728 R \u4e2d\u8f6c\u6362\u6570\u636e\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/cn\/\u5c06\u6570\u636e\u8f6c\u6362\u4e3ar\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T16:34:56+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/transformationr1.png\" \/>\n<meta name=\"author\" content=\"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta 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