{"id":8039,"date":"2019-05-22T16:03:22","date_gmt":"2019-05-22T16:03:22","guid":{"rendered":"http:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/generalized_linear_model_-glm\/"},"modified":"2019-05-22T16:03:22","modified_gmt":"2019-05-22T16:03:22","slug":"generalized_linear_model_-glm","status":"publish","type":"post","link":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/generalized_linear_model_-glm\/","title":{"rendered":"Generalized linear model (GLM)"},"content":{"rendered":"<p>Group of statistical models that models some function of the expected value of the dependent variable as a linear combination of the independent variables. &nbsp;In its simplest form, a linear model specifies the linear relationship between a dependent variable Y, and a set of predictor variables, the X&#8217;s, giving:<\/p>\n<\/p>\n<p><img decoding=\"async\" src=\"..\/wp-content\/uploads\/2019\/05\/Screen-Shot-2012-07-24-at-12.46.27pm.png\" \/><\/div>\n<\/div>\n<p>where <span class=\"\" style=\"font-style: italic;\">b0<\/span> is the regression coefficient for the intercept and the <span class=\"\" style=\"font-style: italic;\">bi<\/span> values the regression coefficients for variables 1 through <span class=\"\" style=\"font-style: italic;\">k<\/span> computed from the data.&nbsp;<\/p>\n<p>For most statistical analyses, estimates of the linear relationships between variables are adequate to describe the observed data, and for making reasonable predictions for new observations.<\/p>\n<p>See <a href=\"analysis_of_variance_-anova-\">Analysis of variance (ANOVA)<\/a>, <a href=\"design_matrix\">Design matrix<\/a><\/p>\n<p><\/p>\n<p><\/body><\/html><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Group of statistical models that models some function of the expected value of the dependent variable as a linear combination of the independent variables. &nbsp;In its simplest form, a linear model specifies the linear relationship between a dependent variable Y, and a set of predictor variables, the X&#8217;s, giving: where b0 is the regression coefficient &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/generalized_linear_model_-glm\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Generalized linear model (GLM)&#8221;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[2],"class_list":["post-8039","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-glossary","entry"],"_links":{"self":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts\/8039","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/comments?post=8039"}],"version-history":[{"count":0,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts\/8039\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/media?parent=8039"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/categories?post=8039"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/tags?post=8039"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}