{"id":204,"date":"2017-04-18T02:43:25","date_gmt":"2017-04-18T02:43:25","guid":{"rendered":"http:\/\/sites.warnercnr.colostate.edu\/gwhite\/?page_id=204"},"modified":"2017-04-18T02:43:36","modified_gmt":"2017-04-18T02:43:36","slug":"aic-aicc-qaic-aicc","status":"publish","type":"page","link":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/aic-aicc-qaic-aicc\/","title":{"rendered":"AIC, AICc, QAIC, and AICc"},"content":{"rendered":"<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\"><a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/index.html\">Contents<\/a> &#8211; <a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/idx.htm\">Index<\/a><\/span><\/p>\n<hr \/>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: medium\"><b>AIC, AICc, QAIC, and AICc<\/b><\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">The number of parameters in the model is <i>K<\/i>.\u00a0 The AIC depends on the number of parameters as<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">AIC = -2log Likelihood + 2<i>K<\/i><\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">and as does the QAIC (quasi-AIC)<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">QAIC = -2log Likelihood\/<\/span><span style=\"font-family: Arial, helvetica, sans-serif;font-size: small\"><a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/chat.htm\">c-hat<\/a><\/span><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\"> + 2<i>K<\/i><\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">the AICc:<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">AICc = -2log Likelihood + 2<i>K<\/i> + 2<i>K<\/i>(<i>K<\/i> + 1)\/(<i>n-ess<\/i> &#8211; <i>K<\/i> &#8211; 1)<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">and the QAICc:<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">QAICc = -2log Likelihood\/<\/span><span style=\"font-family: Arial, helvetica, sans-serif;font-size: small\"><a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/chat.htm\">c-hat<\/a><\/span><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\"> + 2<i>K<\/i> + 2<i>K<\/i>(<i>K<\/i> + 1)\/(<i>n-ess<\/i> &#8211; <i>K<\/i> &#8211; 1)<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">where <i>n-ess<\/i> is the effective sample size.<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">You can change the QAIC and QAICc value by changing <\/span><span style=\"font-family: Arial, helvetica, sans-serif;font-size: small\"><a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/chat.htm\">c-hat<\/a><\/span><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\"> with the Adjustments | c-hat menu options from the <a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/results_browser.htm\">Results Browser<\/a>.<\/span><\/p>\n<p><span style=\"color: #0000ff;font-family: Arial, helvetica, sans-serif;font-size: small\">An alternative model selection metric is <a href=\"http:\/\/warnercnr.colostate.edu\/~gwhite\/mark\/markhelp\/bic.htm\">BIC<\/a>.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Contents &#8211; Index AIC, AICc, QAIC, and AICc The number of parameters in the model is K.\u00a0 The AIC depends on the number of parameters as AIC = -2log Likelihood + 2K and as does the QAIC (quasi-AIC) QAIC = &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/aic-aicc-qaic-aicc\/\"> <span class=\"screen-reader-text\">AIC, AICc, QAIC, and AICc<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":117,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-204","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/204","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/users\/117"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/comments?post=204"}],"version-history":[{"count":2,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/204\/revisions"}],"predecessor-version":[{"id":1315,"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/pages\/204\/revisions\/1315"}],"wp:attachment":[{"href":"https:\/\/sites.warnercnr.colostate.edu\/gwhite\/wp-json\/wp\/v2\/media?parent=204"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}