{"id":51,"date":"2016-09-04T20:04:51","date_gmt":"2016-09-04T20:04:51","guid":{"rendered":"http:\/\/jsr.isrt.ac.bd\/?post_type=article&p=51"},"modified":"2016-09-04T20:15:37","modified_gmt":"2016-09-04T20:15:37","slug":"mediation-analysis-without-sequential-ignorability-using-baseline-covariates-interacted-with-random-assignment-as-instrumental-variables","status":"publish","type":"article","link":"http:\/\/jsr.isrt.ac.bd\/article\/mediation-analysis-without-sequential-ignorability-using-baseline-covariates-interacted-with-random-assignment-as-instrumental-variables\/","title":{"rendered":"Mediation analysis without sequential ignorability: using baseline covariates interacted with random assignment as instrumental variables"},"content":{"rendered":"

In randomized trials, researchers are often interested in mediation analysis to understand how a treatment works, in particular how much of a treatment\u2019s effect is mediated by an intermediated variable and how much the treatment directly affects the outcome not through the intermediate variable. The standard regression approach to mediation analysis assumes sequential ignorability of the mediator, that is that the mediator is effectively randomly assigned given baseline covariates and the randomized treatment. Since the experiment does not randomize the mediator, sequential ignorability is often not plausible. Ten Have et al. (2007, Biometrics), Dunn and Bentall (2007, Statistics in Medicine) and Albert (2008,\u00a0Statistics in Medicine) presented methods that use baseline covariates interacted with random assignment as instrumental variables, and do not require sequential ignorability. We make two contributions to this approach. First, in previous work on the instrumental variable approach, it has been assumed that the direct effect of treatment and the effect of the mediator are constant across subjects; we allow for variation in effects across subjects and show what assumptions are needed to obtain consistent estimates for this setting. Second, we develop a method of sensitivity analysis for violations of the key assumption that the direct effect of the treatment and the effect of the mediator do not depend on the baseline covariates.<\/p>\n

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In randomized trials, researchers are often interested in mediation analysis to understand how a treatment works, in particular how much of a treatment\u2019s effect is mediated by an intermediated variable and how much the treatment directly affects the outcome not through the intermediate variable. The standard regression approach to mediation analysis assumes sequential ignorability of […]<\/p>\n","protected":false},"author":1,"featured_media":0,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","format":"standard","meta":{"_mi_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"issuem_issue":[4],"issuem_issue_categories":[],"issuem_issue_tags":[],"yoast_head":"\nMediation analysis without sequential ignorability: using baseline covariates interacted with random assignment as instrumental variables - JSR<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jsr.isrt.ac.bd\/article\/mediation-analysis-without-sequential-ignorability-using-baseline-covariates-interacted-with-random-assignment-as-instrumental-variables\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mediation analysis without sequential ignorability: using baseline covariates interacted with random assignment as instrumental variables - JSR\" \/>\n<meta property=\"og:description\" content=\"In randomized trials, researchers are often interested in mediation analysis to understand how a treatment works, in particular how much of a treatment\u2019s effect is mediated by an intermediated variable and how much the treatment directly affects the outcome not through the intermediate variable. The standard regression approach to mediation analysis assumes sequential ignorability of […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/jsr.isrt.ac.bd\/article\/mediation-analysis-without-sequential-ignorability-using-baseline-covariates-interacted-with-random-assignment-as-instrumental-variables\/\" \/>\n<meta property=\"og:site_name\" content=\"JSR\" \/>\n<meta property=\"article:modified_time\" content=\"2016-09-04T20:15:37+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/mediation-analysis-without-sequential-ignorability-using-baseline-covariates-interacted-with-random-assignment-as-instrumental-variables\/\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/article\/mediation-analysis-without-sequential-ignorability-using-baseline-covariates-interacted-with-random-assignment-as-instrumental-variables\/\",\"name\":\"Mediation analysis without sequential ignorability: using baseline covariates interacted with random assignment as instrumental variables - JSR\",\"isPartOf\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\"},\"datePublished\":\"2016-09-04T20:04:51+00:00\",\"dateModified\":\"2016-09-04T20:15:37+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/mediation-analysis-without-sequential-ignorability-using-baseline-covariates-interacted-with-random-assignment-as-instrumental-variables\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/jsr.isrt.ac.bd\/article\/mediation-analysis-without-sequential-ignorability-using-baseline-covariates-interacted-with-random-assignment-as-instrumental-variables\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/article\/mediation-analysis-without-sequential-ignorability-using-baseline-covariates-interacted-with-random-assignment-as-instrumental-variables\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/jsr.isrt.ac.bd\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Articles\",\"item\":\"https:\/\/jsr.isrt.ac.bd\/article\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Mediation analysis without sequential ignorability: using baseline covariates interacted with random assignment as instrumental variables\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/jsr.isrt.ac.bd\/#website\",\"url\":\"https:\/\/jsr.isrt.ac.bd\/\",\"name\":\"JSR\",\"description\":\"Journal of Statistical Research\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/jsr.isrt.ac.bd\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Mediation analysis without sequential ignorability: using baseline covariates interacted with random assignment as instrumental variables - JSR","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/jsr.isrt.ac.bd\/article\/mediation-analysis-without-sequential-ignorability-using-baseline-covariates-interacted-with-random-assignment-as-instrumental-variables\/","og_locale":"en_US","og_type":"article","og_title":"Mediation analysis without sequential ignorability: using baseline covariates interacted with random assignment as instrumental variables - JSR","og_description":"In randomized trials, researchers are often interested in mediation analysis to understand how a treatment works, in particular how much of a treatment\u2019s effect is mediated by an intermediated variable and how much the treatment directly affects the outcome not through the intermediate variable. 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