{"id":4524,"date":"2023-07-10T10:33:42","date_gmt":"2023-07-10T10:33:42","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e7%9b%92%e5%ad%90%c2%b7%e8%80%83%e5%85%8b%e6%96%af%e6%94%b9%e9%80%a0%e4%b8%ba%e6%b0%94%e9%97%b8%e5%ae%a4\/"},"modified":"2023-07-10T10:33:42","modified_gmt":"2023-07-10T10:33:42","slug":"%e7%9b%92%e5%ad%90%c2%b7%e8%80%83%e5%85%8b%e6%96%af%e6%94%b9%e9%80%a0%e4%b8%ba%e6%b0%94%e9%97%b8%e5%ae%a4","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e7%9b%92%e5%ad%90%c2%b7%e8%80%83%e5%85%8b%e6%96%af%e6%94%b9%e9%80%a0%e4%b8%ba%e6%b0%94%e9%97%b8%e5%ae%a4\/","title":{"rendered":"\u5982\u4f55\u5728 sas \u4e2d\u6267\u884c box-cox \u8f6c\u6362"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Box-Cox \u53d8\u6362<\/strong>\u662f\u5c06\u975e\u6b63\u6001\u5206\u5e03\u7684\u6570\u636e\u96c6\u53d8\u6362\u4e3a\u66f4<a href=\"https:\/\/statorials.org\/cn\/\u6b63\u6001\u5206\u5e03-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u6b63\u6001\u5206\u5e03\u7684<\/a>\u6570\u636e\u96c6\u7684\u5e38\u7528\u65b9\u6cd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b64\u65b9\u6cd5\u80cc\u540e\u7684\u57fa\u672c\u601d\u60f3\u662f\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u627e\u5230 \u03bb \u503c\uff0c\u4f7f\u53d8\u6362\u540e\u7684\u6570\u636e\u5c3d\u53ef\u80fd\u63a5\u8fd1\u6b63\u6001\u5206\u5e03\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">y(\u03bb) = (y <sup>\u03bb<\/sup> \u2013 1) \/ \u03bb \u5982\u679c y \u2260 0<\/span><\/li>\n<li> <span style=\"color: #000000;\">y(\u03bb) = log(y) \u5982\u679c y = 0<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>PROC TRANSREG<\/strong>\u8fc7\u7a0b\u786e\u5b9a SAS \u4e2d \u03bb \u7684\u6700\u4f73\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5728\u5b9e\u8df5\u4e2d\u4f7f\u7528\u6b64\u8fc7\u7a0b\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1aSAS \u4e2d\u7684 Box-Cox \u53d8\u6362<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u5728 SAS \u4e2d\u6709\u4ee5\u4e0b\u6570\u636e\u96c6\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">\/*create dataset*\/\n<\/span><span style=\"color: #800080;\">data<\/span> my_data;\n    <span style=\"color: #3366ff;\">input<\/span> xy;\n    <span style=\"color: #3366ff;\">datalines<\/span> ;\n7 1\n7 1\n8 1\n3 2\n2 2\n4 2\n4 2\n6 2\n6 2\n7 3\n5 3\n3 3\n3 6\n5 7\n8 8\n;\nrun;\n\n<span style=\"color: #008000;\">\/*view dataset*\/\n<\/span><span style=\"color: #800080;\">proc print<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u4f7f\u7528<strong>PROC REG<\/strong>\u5bf9\u8be5\u6570\u636e\u96c6\u62df\u5408\u4e00\u4e2a\u7b80\u5355\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff0c\u4f7f\u7528<strong>x<\/strong>\u4f5c\u4e3a\u9884\u6d4b\u53d8\u91cf\uff0c <strong>y<\/strong>\u4f5c\u4e3a\u54cd\u5e94\u53d8\u91cf\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">\/*fit simple linear regression model*\/\n<\/span><span style=\"color: #800080;\">proc reg<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;\n    <span style=\"color: #3366ff;\">model<\/span> y = x;\n<span style=\"color: #800080;\">run<\/span> ;<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5728\u8f93\u51fa\u8bca\u65ad\u56fe\u4e2d\uff0c\u6211\u4eec\u53ef\u4ee5\u663e\u793a<strong>\u6b8b\u5dee\u4e0e\u5206\u4f4d\u6570\u56fe<\/strong>\uff08\u4e2d\u95f4\u884c\u6700\u5de6\u8fb9\u7684\u56fe\uff09\uff0c\u4ee5\u67e5\u770b\u6b8b\u5dee\u5728\u6a21\u578b\u4e2d\u662f\u5426\u8fd1\u4f3c\u6b63\u6001\u5206\u5e03\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35332 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/boite1.png\" alt=\"\" width=\"612\" height=\"565\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c<a href=\"https:\/\/statorials.org\/cn\/\u6b8b\u7559\u7269\/\" target=\"_blank\" rel=\"noopener\">\u6b8b\u5dee<\/a>\u5927\u7ea6\u6cbf\u7740\u56fe\u7684\u53f3\u5bf9\u89d2\u7ebf\u5206\u5e03\uff0c\u6211\u4eec\u901a\u5e38\u5047\u8bbe\u6b8b\u5dee\u5448\u6b63\u6001\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ece\u56fe\u4e2d\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u6b8b\u5dee\u4e0d\u592a\u9075\u5faa\u76f4\u7ebf\u5bf9\u89d2\u7ebf\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u8868\u660e\u56de\u5f52\u6a21\u578b\u4e2d\u7684\u54cd\u5e94\u53d8\u91cf\u53ef\u80fd\u4e0d\u5448\u6b63\u6001\u5206\u5e03\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u54cd\u5e94\u53d8\u91cf\u4e0d\u662f\u6b63\u6001\u5206\u5e03\u7684\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<strong>PROC TRANSREG<\/strong>\u6765\u8bc6\u522b \u03bb \u7684\u503c\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u5b83\u6765\u8f6c\u6362\u54cd\u5e94\u53d8\u91cf\uff0c\u4f7f\u5176\u66f4\u670d\u4ece\u6b63\u6001\u5206\u5e03\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">\/*perform box-cox transformation*\/\n<\/span><span style=\"color: #800080;\">proc transreg<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;\n    <span style=\"color: #3366ff;\">model<\/span> <span style=\"color: #3366ff;\">boxcox<\/span> (y) = <span style=\"color: #3366ff;\">identity<\/span> (x);\n<span style=\"color: #800080;\">run<\/span> ;\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-35333\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/boite2.png\" alt=\"box-cox \u8f6c\u6362\u4e3a SAS\" width=\"653\" height=\"521\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8f93\u51fa\u544a\u8bc9\u6211\u4eec\u9009\u62e9\u7684 \u03bb \u503c\u662f \u2013 <strong>0.5<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u7528\u53d8\u91cf<strong>y = (y <sup>-0.5<\/sup> \u2013 1) \/ -0.5<\/strong>\u66ff\u6362\u539f\u59cb\u54cd\u5e94\u53d8\u91cf<strong>y<\/strong>\u6765\u62df\u5408\u7b80\u5355\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u5c55\u793a\u4e86\u5982\u4f55\u6267\u884c\u6b64\u64cd\u4f5c\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">\/*create new dataset that uses box-cox transformation to create new y*\/\n<span style=\"color: #800080;\">data<\/span><\/span> new_data;\n   <span style=\"color: #3366ff;\">set<\/span> my_data;\n   new_y = (y**(-0.5) - 1) \/ -0.5;\n<span style=\"color: #800080;\">run<\/span> ;\n\n<span style=\"color: #008000;\">\/*fit simple linear regression model using new response variable*\/\n<\/span><span style=\"color: #800080;\">proc reg<\/span> <span style=\"color: #3366ff;\">data<\/span> =new_data;\n    <span style=\"color: #3366ff;\">model<\/span> new_y = x;\n<span style=\"color: #800080;\">run<\/span> ;<\/strong><\/span><\/pre>\n<p><span style=\"color: #000000;\">\u5728<strong>\u6b8b\u5dee\u4e0e\u6b8b\u5dee\u4e2d<\/strong>\u8be5\u6a21\u578b\u8f93\u51fa\u7684<strong>\u5206\u4f4d\u6570\u56fe<\/strong>\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u6b8b\u5dee\u6cbf\u7740\u76f4\u7ebf\u5bf9\u89d2\u7ebf\u66f4\u52a0\u63a5\u8fd1\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35334 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/boite3.png\" alt=\"\" width=\"661\" height=\"616\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u8868\u660e box-cox \u53d8\u6362\u6a21\u578b\u7684\u6b8b\u5dee\u66f4\u52a0\u6b63\u6001\u5206\u5e03\uff0c\u6ee1\u8db3 <a href=\"https:\/\/statorials.org\/cn\/\u7ebf\u6027\u56de\u5f52\u5047\u8bbe\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u7ebf\u6027\u56de\u5f52\u7684\u4e3b\u8981\u5047\u8bbe<\/a>\u4e4b\u4e00\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u89e3\u91ca\u4e86\u5982\u4f55\u5728 SAS \u4e2d\u6267\u884c\u5176\u4ed6\u5e38\u89c1\u4efb\u52a1\uff1a<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/cn\/sas-proc-\u5355\u53d8\u91cf\u6b63\u6001\u6027\u68c0\u9a8c\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 SAS \u4e2d\u4f7f\u7528 Proc Univariate \u8fdb\u884c\u6b63\u6001\u6027\u68c0\u9a8c<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u6b8b\u7559\u56fe\u5f62\u6c14\u95f8\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 SAS \u4e2d\u521b\u5efa\u6b8b\u5dee\u56fe<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u83b1\u6587\u65af\u6d4b\u8bd5sas\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 SAS \u4e2d\u6267\u884c Levene \u68c0\u9a8c<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Box-Cox \u53d8\u6362\u662f\u5c06\u975e\u6b63\u6001\u5206\u5e03\u7684\u6570\u636e\u96c6\u53d8\u6362\u4e3a\u66f4\u6b63\u6001\u5206\u5e03\u7684\u6570\u636e\u96c6\u7684\u5e38\u7528\u65b9\u6cd5\u3002 \u6b64\u65b9\u6cd5\u80cc\u540e\u7684\u57fa\u672c\u601d\u60f3\u662f\u4f7f\u7528\u4ee5\u4e0b [&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-4524","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 SAS \u4e2d\u6267\u884c Box-Cox \u53d8\u6362 - Statorials<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u901a\u8fc7\u4e00\u4e2a\u793a\u4f8b\u89e3\u91ca\u4e86\u5982\u4f55\u5728 SAS \u4e2d\u6267\u884c box-cox \u8f6c\u6362\u3002\" 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