{"id":250545,"date":"2024-04-07T16:50:30","date_gmt":"2024-04-07T16:50:30","guid":{"rendered":"https:\/\/namso-gen.co\/blog\/?p=250545"},"modified":"2024-04-07T16:50:30","modified_gmt":"2024-04-07T16:50:30","slug":"how-does-fdr-p-value-adjustment-work-in-r-2","status":"publish","type":"post","link":"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/","title":{"rendered":"How does FDR p-value adjustment work in R?"},"content":{"rendered":"<p>The Benjamini-Hochberg procedure, also known as the false discovery rate (FDR) p-value adjustment, is a widely used method in statistical hypothesis testing to control for multiple testing problems. In R, there are several functions available to perform FDR adjustment, such as the `p.adjust()` function. Let&#8217;s dive deeper into understanding how FDR p-value adjustment works and explore some related FAQs.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_62 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title \" >Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#How_does_FDR_p-value_adjustment_work_in_R\" title=\"How does FDR p-value adjustment work in R?\">How does FDR p-value adjustment work in R?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#FAQs\" title=\"FAQs:\">FAQs:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#1_What_is_the_significance_of_FDR_adjustment\" title=\"1. What is the significance of FDR adjustment?\">1. What is the significance of FDR adjustment?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#2_What_is_the_difference_between_FDR_and_family-wise_error_rate_FWER_correction\" title=\"2. What is the difference between FDR and family-wise error rate (FWER) correction?\">2. What is the difference between FDR and family-wise error rate (FWER) correction?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#3_How_can_I_perform_FDR_adjustment_in_R\" title=\"3. How can I perform FDR adjustment in R?\">3. How can I perform FDR adjustment in R?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#4_Can_FDR_adjustment_only_be_applied_to_p-values\" title=\"4. Can FDR adjustment only be applied to p-values?\">4. Can FDR adjustment only be applied to p-values?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#5_Are_there_different_methods_available_for_FDR_adjustment_in_R\" title=\"5. Are there different methods available for FDR adjustment in R?\">5. Are there different methods available for FDR adjustment in R?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#6_Can_FDR_adjustment_be_used_in_non-parametric_tests\" title=\"6. Can FDR adjustment be used in non-parametric tests?\">6. Can FDR adjustment be used in non-parametric tests?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#7_How_does_FDR_adjustment_impact_statistical_power\" title=\"7. How does FDR adjustment impact statistical power?\">7. How does FDR adjustment impact statistical power?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#8_Are_there_any_visualizations_to_examine_FDR-adjusted_results\" title=\"8. Are there any visualizations to examine FDR-adjusted results?\">8. Are there any visualizations to examine FDR-adjusted results?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#9_Is_FDR_adjustment_appropriate_for_small_sample_sizes\" title=\"9. Is FDR adjustment appropriate for small sample sizes?\">9. Is FDR adjustment appropriate for small sample sizes?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#10_Can_FDR-adjusted_p-values_be_negative\" title=\"10. Can FDR-adjusted p-values be negative?\">10. Can FDR-adjusted p-values be negative?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#11_What_is_the_advantage_of_FDR_adjustment_over_Bonferroni_correction\" title=\"11. What is the advantage of FDR adjustment over Bonferroni correction?\">11. What is the advantage of FDR adjustment over Bonferroni correction?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#12_Are_there_any_assumptions_associated_with_FDR_adjustment\" title=\"12. Are there any assumptions associated with FDR adjustment?\">12. Are there any assumptions associated with FDR adjustment?<\/a><\/li><\/ul><\/nav><\/div>\n<h3><span class=\"ez-toc-section\" id=\"How_does_FDR_p-value_adjustment_work_in_R\"><\/span>How does FDR p-value adjustment work in R?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>**FDR p-value adjustment in R involves sorting the p-values in ascending order, calculating the critical value based on the desired FDR level, and comparing each p-value to the corresponding adjusted p-value threshold. The adjusted p-value is obtained by multiplying the original p-value by the total number of tests performed divided by its rank. If the original p-value is less than or equal to the adjusted p-value threshold, it is deemed statistically significant.**<\/p>\n<h3><span class=\"ez-toc-section\" id=\"FAQs\"><\/span>FAQs:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h3><span class=\"ez-toc-section\" id=\"1_What_is_the_significance_of_FDR_adjustment\"><\/span>1. What is the significance of FDR adjustment?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nFDR adjustment helps control the proportion of false positives when conducting multiple statistical tests simultaneously.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"2_What_is_the_difference_between_FDR_and_family-wise_error_rate_FWER_correction\"><\/span>2. What is the difference between FDR and family-wise error rate (FWER) correction?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nFWER correction, such as the Bonferroni correction, controls for the probability of any false positive (type I error), while FDR adjustment controls the expected proportion of false positives among all significant results.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"3_How_can_I_perform_FDR_adjustment_in_R\"><\/span>3. How can I perform FDR adjustment in R?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYou can use the `p.adjust()` function in R, specifying the method as &#8220;fdr&#8221; or using the `p.adjust(fdr)` shortcut.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"4_Can_FDR_adjustment_only_be_applied_to_p-values\"><\/span>4. Can FDR adjustment only be applied to p-values?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nFDR adjustment can be applied to any test statistic that produces a p-value, not just limited to p-values.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"5_Are_there_different_methods_available_for_FDR_adjustment_in_R\"><\/span>5. Are there different methods available for FDR adjustment in R?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, R provides various FDR methods, including the Benjamini-Hochberg and the Benjamini-Yekutieli procedures, which are commonly used.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"6_Can_FDR_adjustment_be_used_in_non-parametric_tests\"><\/span>6. Can FDR adjustment be used in non-parametric tests?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nYes, FDR adjustment can be used with non-parametric tests, as long as the test produces p-values.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"7_How_does_FDR_adjustment_impact_statistical_power\"><\/span>7. How does FDR adjustment impact statistical power?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nFDR adjustment can increase statistical power by allowing more tests to be declared significant without inflating the overall false positive rate.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"8_Are_there_any_visualizations_to_examine_FDR-adjusted_results\"><\/span>8. Are there any visualizations to examine FDR-adjusted results?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nOne commonly used visualization is the volcano plot, which displays the adjusted p-values on the y-axis and the effect sizes (e.g., log fold change) on the x-axis.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"9_Is_FDR_adjustment_appropriate_for_small_sample_sizes\"><\/span>9. Is FDR adjustment appropriate for small sample sizes?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nFDR adjustment can be applied to small sample sizes; however, the interpretation of results should consider the potential impact of limited statistical power.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"10_Can_FDR-adjusted_p-values_be_negative\"><\/span>10. Can FDR-adjusted p-values be negative?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nNo, FDR-adjusted p-values cannot be negative since they are adjusted to control false discovery rates.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"11_What_is_the_advantage_of_FDR_adjustment_over_Bonferroni_correction\"><\/span>11. What is the advantage of FDR adjustment over Bonferroni correction?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nFDR adjustment has greater statistical power compared to Bonferroni correction, as it is less conservative and allows more true positives to be identified.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"12_Are_there_any_assumptions_associated_with_FDR_adjustment\"><\/span>12. Are there any assumptions associated with FDR adjustment?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\nFDR adjustment assumes that the null hypotheses are independent or positively correlated, and that the test statistics are approximately independent.<\/p>\n<p>Now you have a better understanding of how FDR p-value adjustment works in R and some related FAQs. Applying FDR adjustment helps avoid false positives in multiple testing scenarios, making it a valuable tool in statistical analyses.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Benjamini-Hochberg procedure, also known as the false discovery rate (FDR) p-value adjustment, is a widely used method in statistical hypothesis testing to control for multiple testing problems. In R, there are several functions available to perform FDR adjustment, such as the `p.adjust()` function. Let&#8217;s dive deeper into understanding how FDR p-value adjustment works and &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"How does FDR p-value adjustment work in R?\" class=\"read-more button\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/#more-250545\">Read more<span class=\"screen-reader-text\">How does FDR p-value adjustment work in R?<\/span><\/a><\/p>\n","protected":false},"author":63,"featured_media":107420,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[86279],"tags":[],"class_list":["post-250545","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-learn","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>How does FDR p-value adjustment work in R?<\/title>\n<meta name=\"description\" content=\"The Benjamini-Hochberg procedure, also known as the false discovery rate (FDR) p-value adjustment, is a widely used method in statistical hypothesis\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How does FDR p-value adjustment work in R?\" \/>\n<meta property=\"og:description\" content=\"The Benjamini-Hochberg procedure, also known as the false discovery rate (FDR) p-value adjustment, is a widely used method in statistical hypothesis\" \/>\n<meta property=\"og:url\" content=\"https:\/\/namso-gen.co\/blog\/how-does-fdr-p-value-adjustment-work-in-r-2\/\" \/>\n<meta property=\"og:site_name\" content=\"Namso Gen Blog - 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