

{"id":15464,"date":"2018-05-14T05:52:57","date_gmt":"2018-05-14T05:52:57","guid":{"rendered":"https:\/\/data-flair.training\/blogs\/?p=15464"},"modified":"2021-12-03T10:34:59","modified_gmt":"2021-12-03T05:04:59","slug":"robust-regression-in-sas","status":"publish","type":"post","link":"https:\/\/data-flair.training\/blogs\/robust-regression-in-sas\/","title":{"rendered":"Robust Regression in SAS\/STAT &#8211; 3 Best Procedures"},"content":{"rendered":"<h2>1. Objective<\/h2>\n<p>In the last article, we discussed <strong><a href=\"https:\/\/data-flair.training\/blogs\/sas-power-sample-size\/\">SAS Power and Sample Size Analysis<\/a><\/strong>. Today, we will be looking at another type of analysis, called Robust\u00a0Regression in SAS\/STAT and how can we use SAS\/STAT robust regression. Our focus here will be to understand the SAS\/STAT\u00a0robust regression Procedures: PROC QUANTREG, PROC QUANTSELECT, and PROC ROBUSTREG with example\u00a0&amp; syntax.<br \/>\nSo, let&#8217;s begin with\u00a0Robust Regression in SAS\/STAT.<\/p>\n<div id=\"attachment_15481\" style=\"width: 1210px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/Robust-Regression-in-SAS-STAT-01.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-15481\" class=\"wp-image-15481 size-full\" src=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/Robust-Regression-in-SAS-STAT-01.jpg\" alt=\"Robust Regression in SAS\/STAT\" width=\"1200\" height=\"628\" srcset=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/Robust-Regression-in-SAS-STAT-01.jpg 1200w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/Robust-Regression-in-SAS-STAT-01-150x79.jpg 150w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/Robust-Regression-in-SAS-STAT-01-300x157.jpg 300w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/Robust-Regression-in-SAS-STAT-01-768x402.jpg 768w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/Robust-Regression-in-SAS-STAT-01-1024x536.jpg 1024w\" sizes=\"auto, (max-width: 1200px) 100vw, 1200px\" \/><\/a><p id=\"caption-attachment-15481\" class=\"wp-caption-text\">Robust Regression in SAS\/STAT &#8211; 3 Best Procedures<\/p><\/div>\n<h2>2. What is Robust Regression in SAS\/STAT?<\/h2>\n<p>Robust regression is designed to overcome the limitations, which are arises from traditional parametric and non-parametric methods. Robust regression in SAS\/STAT is a form of <a href=\"https:\/\/data-flair.training\/blogs\/stat-regression-analysis\/\"><strong>regression analysis<\/strong><\/a>.\u00a0It is also similar to least squares regression, is a technique used for those datasets in which the <a href=\"https:\/\/data-flair.training\/blogs\/sas-variable\/\"><strong>variables<\/strong><\/a> and the features exhibit a non-linear trajectory and the assumptions that form the basis of the dataset are likely to change in future.<br \/>\n<strong><a href=\"https:\/\/data-flair.training\/blogs\/stat-longitudinal-data-analysis\/\">Let&#8217;s discuss Important SAS\/STAT Longitudinal Data Analysis Procedures<\/a><\/strong><br \/>\nRobust regression in SAS\/STAT is a statistical procedure used for modeling a regressor in the presence of an outlier in the<a href=\"https:\/\/data-flair.training\/blogs\/sas-data-set\/\"><strong> dataset<\/strong> <\/a>and can also support any anomalous detection. It can be used along with many <a href=\"https:\/\/data-flair.training\/blogs\/machine-learning-tutorial\/\"><strong>machine learning<\/strong> <\/a>and computing approaches such as :<\/p>\n<ol>\n<li>Linear regression<\/li>\n<li>Markovian logic<\/li>\n<li>Fuzzy system<\/li>\n<li>Expectation maximization algorithm.<\/li>\n<\/ol>\n<div id=\"attachment_15482\" style=\"width: 559px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/robust-regression-sample-image.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-15482\" class=\"wp-image-15482 size-full\" src=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/robust-regression-sample-image.png\" alt=\"Robust Regression in SAS\/STAT\" width=\"549\" height=\"329\" srcset=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/robust-regression-sample-image.png 549w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/robust-regression-sample-image-150x90.png 150w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/robust-regression-sample-image-300x180.png 300w\" sizes=\"auto, (max-width: 549px) 100vw, 549px\" \/><\/a><p id=\"caption-attachment-15482\" class=\"wp-caption-text\">SAS\/STAT Robust Regression &#8211; Sample<\/p><\/div>\n<h2>3. SAS\/STAT\u00a0Robust Regression Procedures<\/h2>\n<p>Following procedures to compute robust regression in SAS\/STAT of a sample data. Let us explore it.<\/p>\n<h3>a. PROC ROBUSTREG<\/h3>\n<p>SAS ROBUSTREG procedure in SAS\/STAT is used to detect outliers. Outliers are basically observations that lie very far or at an abnormal distance from our population. In the presence of these outliers, stable results are provided by limiting the influence of these outliers.<br \/>\nThe robust regression\u00a0in SAS\/STAT cater to three different classes of problems:<\/p>\n<ul>\n<li>Problems with outliers in the X space<\/li>\n<li>Outliers in the Y direction<\/li>\n<li>Outliers in both the Y direction and the X space<\/li>\n<\/ul>\n<p><strong><a href=\"https:\/\/data-flair.training\/blogs\/sas-mixed-model\/\">Read about SAS Mixed Model Procedures \u2013 PROC MIXED, PROC NLMIXED<\/a><\/strong><br \/>\n<strong>A Syntax of PROC ROBUSTREG-<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\">PROC ROBUSTREG \u00a0DATASET&lt;options&gt;;\r\nCLASS variables;\r\nMODEL dependent-variables\u00a0=\u00a0effects\u00a0&lt;\/\u00a0options&gt;;<\/pre>\n<p>The\u00a0PROC ROBUSTREG \u00a0and\u00a0MODEL statements are required.<br \/>\n<strong>PROC ROBUSTREG Example-<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\">proc robustreg data=sashelp.class;\r\nclass name;\r\nmodel age=height;\r\nrun;<\/pre>\n<p>&nbsp;<\/p>\n<div id=\"attachment_15483\" style=\"width: 723px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/proc-robustreg-output-1.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-15483\" class=\"wp-image-15483 size-full\" src=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/proc-robustreg-output-1.png\" alt=\"SAS\/STAT Robust Regression\" width=\"713\" height=\"626\" srcset=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/proc-robustreg-output-1.png 713w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/proc-robustreg-output-1-150x132.png 150w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/proc-robustreg-output-1-300x263.png 300w\" sizes=\"auto, (max-width: 713px) 100vw, 713px\" \/><\/a><p id=\"caption-attachment-15483\" class=\"wp-caption-text\">SAS\/STAT Robust Regression &#8211; SAS PROC ROBUSTREG<\/p><\/div>\n<p><strong><a href=\"https:\/\/data-flair.training\/blogs\/sas-nonlinear-regression\/\">Read about SAS Nonlinear Regression Procedure in detail<\/a><\/strong><\/p>\n<div id=\"attachment_15484\" style=\"width: 682px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/proc-robustreg-output-2.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-15484\" class=\"wp-image-15484 size-full\" src=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/proc-robustreg-output-2.png\" alt=\"SAS\/STAT Robust Regression \" width=\"672\" height=\"598\" srcset=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/proc-robustreg-output-2.png 672w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/proc-robustreg-output-2-150x133.png 150w, https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/proc-robustreg-output-2-300x267.png 300w\" sizes=\"auto, (max-width: 672px) 100vw, 672px\" \/><\/a><p id=\"caption-attachment-15484\" class=\"wp-caption-text\">SAS\/STAT Robust Regression &#8211; SAS PROC ROBUSTREG<\/p><\/div>\n<div id=\"attachment_15485\" style=\"width: 147px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/proc-robustreg-output-3.png\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-15485\" class=\"wp-image-15485 size-full\" src=\"https:\/\/data-flair.training\/blogs\/wp-content\/uploads\/sites\/2\/2018\/05\/proc-robustreg-output-3.png\" alt=\"Robust Regression in SAS\/STAT\" width=\"137\" height=\"145\" \/><\/a><p id=\"caption-attachment-15485\" class=\"wp-caption-text\">SAS PROC ROBUSTREG<\/p><\/div>\n<h3>b. PROC QUANTREG<\/h3>\n<p>We have already discussed this procedure in detail in <a href=\"https:\/\/data-flair.training\/blogs\/quantile-regression-in-sas\/\"><strong>SAS\/STAT Quantile Regression tutorial<\/strong><\/a>.<\/p>\n<h3>c. PROC QUANTSELECT<\/h3>\n<p>We have already discussed this procedure in detail in <a href=\"https:\/\/data-flair.training\/blogs\/quantile-regression-in-sas\/\"><strong>SAS\/STAT Quantile Regression tutorial<\/strong><\/a>.<\/p>\n<h2>4. Conclusion<\/h2>\n<p>Hence, we complete one more analysis in SAS\/STAT journey,\u00a0Robust Regression in SAS\/STAT. In conclusion, we saw different\u00a0procedures used in SAS\/STAT\u00a0Robust Regression:\u00a0PROC QUANTREG, PROC QUANTSELECT, and PROC ROBUSTREG with Syntax &amp; examples. Still, if you have any doubt, ask in the comment box.<br \/>\nSee Also &#8211;\u00a0<strong><a href=\"https:\/\/data-flair.training\/blogs\/sas-multivariate-analysis\/\">Multivariate Analysis Procedure &#8211; SAS\/STAT\u00a0<\/a><\/strong><br \/>\n<strong><a href=\"https:\/\/support.sas.com\/rnd\/app\/stat\/procedures\/RobustRegression.html\">For reference<\/a><\/strong><span hidden class=\"__iawmlf-post-loop-links\" data-iawmlf-links=\"[{&quot;id&quot;:1950,&quot;href&quot;:&quot;https:\\\/\\\/support.sas.com\\\/rnd\\\/app\\\/stat\\\/procedures\\\/RobustRegression.html&quot;,&quot;archived_href&quot;:&quot;http:\\\/\\\/web-wp.archive.org\\\/web\\\/20230130115841\\\/http:\\\/\\\/support.sas.com\\\/rnd\\\/app\\\/stat\\\/procedures\\\/RobustRegression.html&quot;,&quot;redirect_href&quot;:&quot;&quot;,&quot;checks&quot;:[{&quot;date&quot;:&quot;2025-12-10 13:00:37&quot;,&quot;http_code&quot;:404},{&quot;date&quot;:&quot;2026-03-11 04:04:18&quot;,&quot;http_code&quot;:404},{&quot;date&quot;:&quot;2026-04-12 02:41:23&quot;,&quot;http_code&quot;:404},{&quot;date&quot;:&quot;2026-04-24 01:21:43&quot;,&quot;http_code&quot;:404},{&quot;date&quot;:&quot;2026-05-02 00:11:58&quot;,&quot;http_code&quot;:404},{&quot;date&quot;:&quot;2026-05-12 15:07:33&quot;,&quot;http_code&quot;:404},{&quot;date&quot;:&quot;2026-05-17 20:55:27&quot;,&quot;http_code&quot;:404},{&quot;date&quot;:&quot;2026-06-03 00:49:58&quot;,&quot;http_code&quot;:404},{&quot;date&quot;:&quot;2026-06-17 00:02:01&quot;,&quot;http_code&quot;:404},{&quot;date&quot;:&quot;2026-06-28 02:22:41&quot;,&quot;http_code&quot;:404}],&quot;broken&quot;:true,&quot;last_checked&quot;:{&quot;date&quot;:&quot;2026-06-28 02:22:41&quot;,&quot;http_code&quot;:404},&quot;process&quot;:&quot;done&quot;}]\"><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>1. Objective In the last article, we discussed SAS Power and Sample Size Analysis. Today, we will be looking at another type of analysis, called Robust\u00a0Regression in SAS\/STAT and how can we use SAS\/STAT&#46;&#46;&#46;<\/p>\n","protected":false},"author":6,"featured_media":15481,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[56],"tags":[10084,10086,10092,11622,11623,12186,12233,12234,12360],"class_list":["post-15464","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sas-stat","tag-proc-quantreg","tag-proc-quantselect","tag-proc-robustreg","tag-robust-regression-in-sas","tag-robust-regression-in-sas-stat","tag-sas-proc-robustreg","tag-sas-robust-regression","tag-sas-robust-regression-example","tag-sasstat-robust-regression"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Robust Regression in SAS\/STAT - 3 Best Procedures - DataFlair<\/title>\n<meta name=\"description\" content=\"SAS\/STAT Robust Regression tutorial- what is a robust regression in SAS\/STAT with an example, procedures used in robust regression in SAS: PROC ROBUSTREG\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/data-flair.training\/blogs\/robust-regression-in-sas\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Robust Regression in SAS\/STAT - 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