{"id":3826,"date":"2001-03-01T00:00:00","date_gmt":"2001-03-01T05:00:00","guid":{"rendered":"https:\/\/icesontario.wpengine.com\/journal-articles\/an-introduction-to-multilevel-regression-models\/"},"modified":"2023-06-14T20:04:04","modified_gmt":"2023-06-15T00:04:04","slug":"an-introduction-to-multilevel-regression-models","status":"publish","type":"journal_article","link":"https:\/\/www.ices.on.ca\/fr\/publications\/journal-articles\/an-introduction-to-multilevel-regression-models\/","title":{"rendered":"An introduction to multilevel regression models"},"content":{"rendered":"<p>Data in health research are frequently structured hierarchically. For example, data may consist of patients nested within physicians, who in turn may be nested in hospitals or geographic regions. Fitting regression models that ignore the hierarchical structure of the data can lead to false inferences being drawn from the data. Implementing a statistical analysis that takes into account the hierarchical structure of the data requires special methodologies. In this paper, the concept of hierarchically structured data is introduced, and an introduction to hierarchical regression models is presented. The performance of a traditional regression model with that of a hierarchical regression model is compared on a dataset relating test utilization at the annual health exam with patient and physician characteristics. In comparing the resultant models, it is evident that false inferences can be drawn by ignoring the structure of the data.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Data in health research are frequently structured hierarchically. For example, data may consist of patients nested within physicians, who in turn may be nested in hospitals or geographic regions. Fitting regression models that ignore the hierarchical structure of the data can lead to false inferences being drawn from the data. Implementing a statistical analysis that [&hellip;]<\/p>\n","protected":false},"template":"","migration-helper-automated":[],"migration-manual":[],"topic":[],"migration-helper-qa-sample-set":[],"class_list":["post-3826","journal_article","type-journal_article","status-publish","hentry"],"acf":{"citation":"Austin PC, Goel V, van Walraven C. <em>Can J Public Health<\/em>. 2001; 92(2):150-4.","source_url":"http:\/\/journal.cpha.ca\/index.php\/cjph\/article\/view\/76\/76","ices_scientist":[1385,1253,1119],"site":[6733,6734,6735],"research_program":[6742],"news_release":[],"journal_article":[],"atlas":[],"research_report":[],"infographic":[],"video":[],"downloads":null,"links":null,"sitecore_item_id":"4888D637-4C5F-477E-871E-D092D556C3B8","sitecore_item_name":"An-introduction-to-multilevel-regression-models","sitecore_field_values":"{\n  \"Title\": \"An introduction to multilevel regression models\",\n  \"Short title\": \"An introduction to multilevel\",\n  \"Citation\": \"<p>Austin PC, Goel V, van Walraven C. <em>Can J Public Health<\/em>. 2001; 92(2):150-4.<\/p>\",\n  \"Abstract\": \"<p>Data in health research are frequently structured hierarchically. For example, data may consist of patients nested within physicians, who in turn may be nested in hospitals or geographic regions. Fitting regression models that ignore the hierarchical structure of the data can lead to false inferences being drawn from the data. Implementing a statistical analysis that takes into account the hierarchical structure of the data requires special methodologies. In this paper, the concept of hierarchically structured data is introduced, and an introduction to hierarchical regression models is presented. The performance of a traditional regression model with that of a hierarchical regression model is compared on a dataset relating test utilization at the annual health exam with patient and physician characteristics. In comparing the resultant models, it is evident that false inferences can be drawn by ignoring the structure of the data.<\/p>n<p><a href=\"http:\/\/journal.cpha.ca\/index.php\/cjph\/article\/view\/76\/76\" title=\"External link opens\">View full text<\/a><\/p>\",\n  \"Keywords\": \"{CDDF7B9A-B998-4F32-B509-5A4A5C703470}\",\n  \"Research Programs\": \"{BEC72DE0-BA8C-42B8-ACE5-EE29FFB2CB3B}|{5B1AF319-EC9B-4BF0-A9CD-D066ABE49D71}\",\n  \"ICES Locations\": \"{4FCAABBA-14A5-42E6-8F33-BC6C2F1D9908}|{0AD77E2C-C883-4E93-8B9A-40B82D50E3A5}|{FBE2D1B1-C0BA-423F-8D16-39466B6C1424}\",\n  \"ICES Scientists\": \"{7D498E8B-5801-4F9E-AC41-11ED50F3C34E}|{4BF52DAD-DEB2-4DEE-9C76-F4EFADDD454A}|{372EE381-9B1A-49F5-AC1B-0D8675558A8D}\",\n  \"Posted Date\": \"20010301T000000\"\n}","previous_url":"https:\/\/www.ices.on.ca\/Publications\/Journal-Articles\/2001\/January\/An-introduction-to-multilevel-regression-models"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>ICES | An introduction to multilevel regression models<\/title>\n<meta name=\"description\" content=\"Data in health research are frequently structured hierarchically. For example, data may consist of patients nested within physicians, who in turn may be\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ices.on.ca\/fr\/publications\/journal-articles\/an-introduction-to-multilevel-regression-models\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ICES | An introduction to multilevel regression models\" \/>\n<meta property=\"og:description\" content=\"Data in health research are frequently structured hierarchically. For example, data may consist of patients nested within physicians, who in turn may be\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.ices.on.ca\/fr\/publications\/journal-articles\/an-introduction-to-multilevel-regression-models\/\" \/>\n<meta property=\"og:site_name\" content=\"ICES\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/ICESOntario\/\" \/>\n<meta property=\"article:modified_time\" content=\"2023-06-15T00:04:04+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.ices.on.ca\/wp-content\/uploads\/2024\/11\/ic-es-data-discovery-better-health-logo.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"675\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/publications\\\/journal-articles\\\/an-introduction-to-multilevel-regression-models\\\/\",\"url\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/publications\\\/journal-articles\\\/an-introduction-to-multilevel-regression-models\\\/\",\"name\":\"ICES | An introduction to multilevel regression models\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/#website\"},\"datePublished\":\"2001-03-01T05:00:00+00:00\",\"dateModified\":\"2023-06-15T00:04:04+00:00\",\"description\":\"Data in health research are frequently structured hierarchically. For example, data may consist of patients nested within physicians, who in turn may be\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/publications\\\/journal-articles\\\/an-introduction-to-multilevel-regression-models\\\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/publications\\\/journal-articles\\\/an-introduction-to-multilevel-regression-models\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/publications\\\/journal-articles\\\/an-introduction-to-multilevel-regression-models\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Journal Articles\",\"item\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/publications\\\/journal-articles\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"An introduction to multilevel regression models\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/#website\",\"url\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/\",\"name\":\"ICES\",\"description\":\"POPULATION-BASED HEALTH RESEARCH THAT MAKES A DIFFERENCE\",\"publisher\":{\"@id\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/#organization\"},\"alternateName\":\"Institute for Clinical Evaluative Sciences\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-FR\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/#organization\",\"name\":\"ICES\",\"alternateName\":\"Institute for Clinical Evaluative Sciences\",\"url\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/www.ices.on.ca\\\/wp-content\\\/uploads\\\/2023\\\/04\\\/ices-logo.png\",\"contentUrl\":\"https:\\\/\\\/www.ices.on.ca\\\/wp-content\\\/uploads\\\/2023\\\/04\\\/ices-logo.png\",\"width\":\"676\",\"height\":\"618\",\"caption\":\"ICES\"},\"image\":{\"@id\":\"https:\\\/\\\/www.ices.on.ca\\\/fr\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/ICESOntario\\\/\",\"https:\\\/\\\/www.linkedin.com\\\/company\\\/ices-research-institute\\\/\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"ICES | An introduction to multilevel regression models","description":"Data in health research are frequently structured hierarchically. For example, data may consist of patients nested within physicians, who in turn may be","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:\/\/www.ices.on.ca\/fr\/publications\/journal-articles\/an-introduction-to-multilevel-regression-models\/","og_locale":"fr_FR","og_type":"article","og_title":"ICES | An introduction to multilevel regression models","og_description":"Data in health research are frequently structured hierarchically. For example, data may consist of patients nested within physicians, who in turn may be","og_url":"https:\/\/www.ices.on.ca\/fr\/publications\/journal-articles\/an-introduction-to-multilevel-regression-models\/","og_site_name":"ICES","article_publisher":"https:\/\/www.facebook.com\/ICESOntario\/","article_modified_time":"2023-06-15T00:04:04+00:00","og_image":[{"width":1200,"height":675,"url":"https:\/\/www.ices.on.ca\/wp-content\/uploads\/2024\/11\/ic-es-data-discovery-better-health-logo.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.ices.on.ca\/fr\/publications\/journal-articles\/an-introduction-to-multilevel-regression-models\/","url":"https:\/\/www.ices.on.ca\/fr\/publications\/journal-articles\/an-introduction-to-multilevel-regression-models\/","name":"ICES | An introduction to multilevel regression models","isPartOf":{"@id":"https:\/\/www.ices.on.ca\/fr\/#website"},"datePublished":"2001-03-01T05:00:00+00:00","dateModified":"2023-06-15T00:04:04+00:00","description":"Data in health research are frequently structured hierarchically. For example, data may consist of patients nested within physicians, who in turn may be","breadcrumb":{"@id":"https:\/\/www.ices.on.ca\/fr\/publications\/journal-articles\/an-introduction-to-multilevel-regression-models\/#breadcrumb"},"inLanguage":"fr-FR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.ices.on.ca\/fr\/publications\/journal-articles\/an-introduction-to-multilevel-regression-models\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.ices.on.ca\/fr\/publications\/journal-articles\/an-introduction-to-multilevel-regression-models\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.ices.on.ca\/fr\/"},{"@type":"ListItem","position":2,"name":"Journal Articles","item":"https:\/\/www.ices.on.ca\/fr\/publications\/journal-articles\/"},{"@type":"ListItem","position":3,"name":"An introduction to multilevel regression models"}]},{"@type":"WebSite","@id":"https:\/\/www.ices.on.ca\/fr\/#website","url":"https:\/\/www.ices.on.ca\/fr\/","name":"ICES","description":"POPULATION-BASED HEALTH RESEARCH THAT MAKES A DIFFERENCE","publisher":{"@id":"https:\/\/www.ices.on.ca\/fr\/#organization"},"alternateName":"Institute for Clinical Evaluative Sciences","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.ices.on.ca\/fr\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"fr-FR"},{"@type":"Organization","@id":"https:\/\/www.ices.on.ca\/fr\/#organization","name":"ICES","alternateName":"Institute for Clinical Evaluative Sciences","url":"https:\/\/www.ices.on.ca\/fr\/","logo":{"@type":"ImageObject","inLanguage":"fr-FR","@id":"https:\/\/www.ices.on.ca\/fr\/#\/schema\/logo\/image\/","url":"https:\/\/www.ices.on.ca\/wp-content\/uploads\/2023\/04\/ices-logo.png","contentUrl":"https:\/\/www.ices.on.ca\/wp-content\/uploads\/2023\/04\/ices-logo.png","width":"676","height":"618","caption":"ICES"},"image":{"@id":"https:\/\/www.ices.on.ca\/fr\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/ICESOntario\/","https:\/\/www.linkedin.com\/company\/ices-research-institute\/"]}]}},"_links":{"self":[{"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/journal_article\/3826","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/journal_article"}],"about":[{"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/types\/journal_article"}],"acf:post":[{"embeddable":true,"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/research_program\/6742"},{"embeddable":true,"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/site\/6735"},{"embeddable":true,"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/site\/6734"},{"embeddable":true,"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/site\/6733"},{"embeddable":true,"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/ices_scientist\/1119"},{"embeddable":true,"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/ices_scientist\/1253"},{"embeddable":true,"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/ices_scientist\/1385"}],"wp:attachment":[{"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/media?parent=3826"}],"wp:term":[{"taxonomy":"migration-helper-automated","embeddable":true,"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/migration-helper-automated?post=3826"},{"taxonomy":"migration-manual","embeddable":true,"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/migration-manual?post=3826"},{"taxonomy":"topic","embeddable":true,"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/topic?post=3826"},{"taxonomy":"migration-helper-qa-sample-set","embeddable":true,"href":"https:\/\/www.ices.on.ca\/fr\/wp-json\/wp\/v2\/migration-helper-qa-sample-set?post=3826"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}