{"id":360,"date":"2021-12-29T00:00:00","date_gmt":"2021-12-28T15:00:00","guid":{"rendered":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/difference-between-aic-and-bic\/"},"modified":"2024-10-02T21:58:27","modified_gmt":"2024-10-02T12:58:27","slug":"difference-between-aic-and-bic","status":"publish","type":"post","link":"https:\/\/best-biostatistics.com\/toukei-er\/entry\/difference-between-aic-and-bic\/","title":{"rendered":"AIC\u3068BIC\u306e\u9055\u3044\u306f\u4f55\u304b\uff1f\u7d71\u8a08\u89e3\u6790\u3067\u306e\u7279\u5fb4\u6bd4\u8f03"},"content":{"rendered":"\n<p>\u7d71\u8a08\u30e2\u30c7\u30eb\u306e\u5f53\u3066\u306f\u307e\u308a\u306e\u6307\u6a19\u3067\u3042\u308b\u3001AIC\u3068BIC\u3002<\/p>\n\n\n\n<p>\u9055\u3044\u306f\u4f55\u304b\uff1f<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\" id=\"AIC\u3084BIC\u3068\u306f\u4f55\u304b\">AIC\u3084BIC\u3068\u306f\u4f55\u304b\uff1f<\/h2>\n\n\n\n<p>AIC\u306f\u3001Akaike&#8217;s Information Criterion \u8d64\u6c60\u60c5\u5831\u91cf\u898f\u6e96\u306e\u982d\u6587\u5b57\u8a9e\u3001BIC\u306f\u3001Bayesian Information Criterion \u30d9\u30a4\u30ba\u60c5\u5831\u91cf\u898f\u6e96\u306e\u982d\u6587\u5b57\u8a9e\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>AIC\u3082BIC\u3082\u4e88\u6e2c\u6027\u80fd\u306b\u7740\u76ee\u3057\u305f\u30e2\u30c7\u30eb\u306e\u5f53\u3066\u306f\u307e\u308a\u306e\u6307\u6a19\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u8907\u6570\u306e\u591a\u5909\u91cf\u30e2\u30c7\u30eb\u3092\u6bd4\u8f03\u3057\u3066\u3001\u6700\u5c0f\u5024\u306e\u30e2\u30c7\u30eb\u304c\u76f8\u5bfe\u7684\u306b\u3082\u3063\u3068\u3082\u3059\u3050\u308c\u305f\u30e2\u30c7\u30eb\u3068\u5224\u65ad\u3059\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"AIC\u3068BIC\u306e\u9055\u3044\u306f\u4f55\u304b\">AIC\u3068BIC\u306e\u9055\u3044\u306f\u4f55\u304b\uff1f<\/h2>\n\n\n\n<p>AIC\u3082BIC\u3082\u4e8c\u3064\u306e\u9805\u306e\u548c\u304b\u3089\u6210\u308a\u7acb\u3063\u3066\u3044\u308b\u5f0f\u3067\u8a08\u7b97\u3055\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>$$ \\mathrm{AIC} = -2 \\log L + 2k $$<\/p>\n\n\n\n<p>$$ \\mathrm{BIC} = -2 \\log L + k \\log n $$<\/p>\n\n\n\n<p>\u4e00\u3064\u76ee\u306e\u9805\u306f\u540c\u4e00\u3067\u3001\u30e2\u30c7\u30eb\u306e\u5bfe\u6570\u5c24\u5ea6\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>$ -2 \\log L $ \u306e\u9805\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>L\u306f\u3001\u5c24\u5ea6\uff08\u3086\u3046\u3069\uff09\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u5c24\u5ea6\u3068\u306f\u3001\u5f97\u3089\u308c\u305f\u30c7\u30fc\u30bf\u3092\u3042\u308b\u5206\u5e03\uff08\u4f8b\u3048\u3070\u6b63\u898f\u5206\u5e03\uff09\u306b\u7167\u3089\u3057\u305f\u3068\u304d\u306b\u3001\u305d\u306e\u5206\u5e03\u304b\u3089\u767a\u751f\u3057\u305f\u3068\u3057\u305f\u3089\u3069\u306e\u304f\u3089\u3044\u3082\u3063\u3068\u3082\u3089\u3057\u3044\u304b\u306e\u5ea6\u5408\u3044\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u305d\u306e\u3082\u3063\u3068\u3082\u3089\u3057\u3055\u3092\u6700\u5927\u306b\u3059\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u63a2\u3059\u3068\u3044\u3046\u65b9\u6cd5\u3067\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u63a8\u5b9a\u3059\u308b\u65b9\u6cd5\u304c\u6700\u5c24\u63a8\u5b9a\u6cd5\u3068\u547c\u3070\u308c\u3066\u3044\u3066\u3001\u5b9f\u969b\u306e\u8a08\u7b97\u3067\u306f\u5bfe\u6570\u3092\u3068\u3063\u305f\u5bfe\u6570\u5c24\u5ea6\u3092\u6700\u5927\u5316\u3059\u308b\u30d1\u30e9\u30e1\u30fc\u30bf\u3092\u63a8\u5b9a\u3059\u308b\u3068\u3044\u3046\u5f62\u3067\u7528\u3044\u3089\u308c\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u305d\u306e\u5bfe\u6570\u5c24\u5ea6\u304c\u306a\u308b\u3079\u304f\u5927\u304d\u3044\u307b\u3046\u304c\u3088\u3044\u30e2\u30c7\u30eb\u3068\u5224\u65ad\u3055\u308c\u308b\u3002<\/p>\n\n\n\n<p>\u8a08\u7b97\u5f0f\u3067\u306f\u3001\u5bfe\u6570\u5c24\u5ea6\u306b-2\u304c\u639b\u304b\u3063\u3066\u3044\u308b\u305f\u3081\u3001\u6700\u7d42\u7684\u306a\u5024\u306f\u5c0f\u3055\u3044\u307b\u3046\u304c\u3088\u308a\u826f\u3044\u30e2\u30c7\u30eb\u3068\u306a\u308b\u3002<\/p>\n\n\n\n<p>\u5c24\u5ea6\u306b\u3064\u3044\u3066\u306f\u3053\u3061\u3089\u3082\u53c2\u7167\u3002<\/p>\n\n\n<div class=\"swell-block-postLink\">\t\t\t<div class=\"p-blogCard -internal\" data-type=\"type1\" data-onclick=\"clickLink\">\n\t\t\t\t<div class=\"p-blogCard__inner\">\n\t\t\t\t\t<span class=\"p-blogCard__caption\">\u3042\u308f\u305b\u3066\u8aad\u307f\u305f\u3044<\/span>\n\t\t\t\t\t<div class=\"p-blogCard__thumb c-postThumb\"><figure class=\"c-postThumb__figure\"><img decoding=\"async\" src=\"https:\/\/best-biostatistics.com\/toukei-er\/wp-content\/uploads\/2024\/08\/1920x1080-video-Excel-300x169.jpg\" alt=\"\" class=\"c-postThumb__img u-obf-cover\" width=\"320\" height=\"180\"><\/figure><\/div>\t\t\t\t\t<div class=\"p-blogCard__body\">\n\t\t\t\t\t\t<a class=\"p-blogCard__title\" href=\"https:\/\/best-biostatistics.com\/toukei-er\/entry\/what-is-likelihood\/\">\u5c24\u5ea6\u3068\u306f\uff1f\u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac<\/a>\n\t\t\t\t\t\t<span class=\"p-blogCard__excerpt\">\u8aad\u307f\u65b9\u3082\u610f\u5473\u3057\u3066\u3044\u308b\u3068\u3053\u308d\u3082\u5206\u304b\u308a\u306b\u304f\u3044\u5c24\u5ea6\uff08\u3086\u3046\u3069\uff09\u3002 \u308f\u304b\u308a\u3084\u3059\u304f\u89e3\u8aac\u3002 \u5c24\u5ea6\u3068\u4f3c\u3066\u3044\u308b\u78ba\u7387\u3068\u306f\u4f55\u304b\uff1f \u307e\u305a\u5c24\u5ea6\u306f\u78ba\u7387\u306b\u4f3c\u3066\u3044\u308b\u3082\u306e\u3060\u304c\u3001\u78ba\u7387\u3068\u306f\u9055\u3046\u3002 \u307e&#8230;<\/span>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\n\n\n\n\n\n<p>\u4e8c\u3064\u76ee\u306e\u9805\u304c\u3001AIC\u3068BIC\u3067\u306f\u7570\u306a\u3063\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u70b9\u304c\u3001\u3069\u306e\u3088\u3046\u306a\u5834\u5408\u306b\u9069\u3059\u308b\u304b\u304c\u7570\u306a\u308b\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>AIC\u3067\u306f\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u6570\uff08\u3064\u307e\u308a\u3001\u591a\u5909\u91cf\u30e2\u30c7\u30eb\u306e\u72ec\u7acb\u5909\u6570\u306e\u6570\uff09\u306e\u307f\u3067\u3042\u308a\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u304c\u591a\u3059\u304e\u308b\u3068\u3001AIC\u304c\u5927\u304d\u304f\u306a\u308a\u3001\u826f\u3044\u30e2\u30c7\u30eb\u3068\u306f\u8a00\u3048\u306a\u3044\u3053\u3068\u306b\u306a\u308b\u3002<\/p>\n\n\n\n<p>AIC\u306e\u4e8c\u9805\u76ee\u306f\u30012k \u3067\u3001k\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u6570\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u4e00\u65b9\u3067\u3001BIC\u3067\u306f\u3001\u30d1\u30e9\u30e1\u30fc\u30bf\u6570\u306b\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304c\u639b\u304b\u3063\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<p>BIC\u306e\u4e8c\u9805\u76ee\u306f\u3001$ k \\log n $ \u3067\u3001k\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u6570\u3001n\u306f\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<p>\u305d\u308c\u3086\u3048\u3001\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304c\u30e2\u30c7\u30eb\u306e\u826f\u3057\u3042\u3057\u306b\u5f71\u97ff\u3057\u3066\u304f\u308b\u3002<\/p>\n\n\n\n<p>\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u304c\u5927\u304d\u304f\u306a\u308b\u3068\u3001BIC\u306e\u5024\u306e\u306a\u304b\u3067\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306e\u5f71\u97ff\u304c\u652f\u914d\u7684\u306b\u306a\u3063\u3066\u304f\u308b\u3002<\/p>\n\n\n\n<p>\u591a\u5909\u91cf\u89e3\u6790\u306e\u5834\u5408\u306f\u3001\u3042\u308b\u7a0b\u5ea6\u306e\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u3092\u3082\u3063\u3066\u89e3\u6790\u3059\u308b\u306e\u304c\u4e00\u822c\u7684\u306a\u306e\u3067\u3001BIC\u304c\u30b5\u30f3\u30d7\u30eb\u30b5\u30a4\u30ba\u306b\u652f\u914d\u3055\u308c\u308b\u3068\u306a\u308b\u3068\u3001\u7d30\u304b\u306a\u5909\u6570\u9078\u629e\u304c\u82e6\u624b\u304b\u3082\u3057\u308c\u306a\u3044\u3002<\/p>\n\n\n\n<p>AIC\u306e\u767a\u660e\u8005\u3001\u8d64\u6c60\u5148\u751f\u306f\u300cAIC\u306f\u3001\u6709\u610f\u6027\u304c\u3088\u3046\u3084\u304f\u8a8d\u3081\u3089\u308c\u308b\u7a0b\u5ea6\u306e\u30d1\u30e9\u30e1\u30fc\u30bf\u306e\u53d6\u308a\u6271\u3044\u306b\u6ce8\u76ee\u3057\u3001\u8aa4\u5dee\u306e\u5f71\u97ff\u306b\u57cb\u6ca1\u3057\u305d\u3046\u306b\u306a\u308b\u3068\u3053\u308d\u307e\u3067\u30e2\u30c7\u30eb\u5316\u306e\u53ef\u80fd\u6027\u3092\u8ffd\u6c42\u3057\u3066\u3044\u308b\u300d\u3068\u8ff0\u3079\u3066\u3044\u308b\u3002<\/p>\n\n\n\n<div id=\"biost-2581707595\" class=\"biost- biost-entity-placement\"><p style=\"text-align: center;\"><span style=\"font-size: 20px;\"><strong><a href=\"https:\/\/best-biostatistics.com\/kmhl\">\uff1e\uff1e\u3082\u3046\u7d71\u8a08\u3067\u60a9\u3080\u306e\u306f\u7d42\u308f\u308a\u306b\u3057\u307e\u305b\u3093\u304b\uff1f\u00a0<\/a><\/strong><\/span><\/p>\r\n<a href=\"https:\/\/best-biostatistics.com\/kmhl\"><img class=\"aligncenter wp-image-2794 size-full\" src=\"https:\/\/best-biostatistics.com\/wp\/wp-content\/uploads\/2023\/11\/bn_r_03.png\" alt=\"\" width=\"500\" height=\"327\" \/><\/a>\r\n<p style=\"text-align: center;\"><span style=\"color: #ff0000; font-size: 20px;\"><strong><span class=\"marker2\">\u21911\u4e07\u4eba\u4ee5\u4e0a\u306e\u533b\u7642\u5f93\u4e8b\u8005\u304c\u8cfc\u8aad\u4e2d<\/span><\/strong><\/span><\/p><\/div><h2 class=\"wp-block-heading\" id=\"\u307e\u3068\u3081\">\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u7d71\u8a08\u30e2\u30c7\u30eb\u306e\u5f53\u3066\u306f\u307e\u308a\u306e\u826f\u3055\u306e\u898f\u6e96\u3068\u3057\u3066\u3001AIC\u3068BIC\u3092\u7d39\u4ecb\u3057\u3001\u305d\u306e\u7570\u540c\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u7279\u5225\u306a\u7406\u7531\u304c\u306a\u3044\u9650\u308aAIC\u3092\u4f7f\u3046\u306e\u304c\u826f\u3044\u3068\u601d\u3046\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"\u53c2\u8003\u6587\u732e\">\u53c2\u8003\u6587\u732e<\/h2>\n\n\n\n<p>\u8d64\u6c60 1996 AIC\u3068MDL\u3068BIC<\/p>\n\n\n\n<p><a href=\"http:\/\/www.orsj.or.jp\/~archive\/pdf\/bul\/Vol.41_07_375.pdf\">http:\/\/www.orsj.or.jp\/~archive\/pdf\/bul\/Vol.41_07_375.pdf<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u7d71\u8a08\u30e2\u30c7\u30eb\u306e\u5f53\u3066\u306f\u307e\u308a\u306e\u6307\u6a19\u3067\u3042\u308b\u3001AIC\u3068BIC\u3002 \u9055\u3044\u306f\u4f55\u304b\uff1f<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[27,25],"tags":[],"class_list":["post-360","post","type-post","status-publish","format-standard","hentry","category-aic","category-25"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/360","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/comments?post=360"}],"version-history":[{"count":2,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/360\/revisions"}],"predecessor-version":[{"id":2176,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/posts\/360\/revisions\/2176"}],"wp:attachment":[{"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/media?parent=360"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/categories?post=360"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/best-biostatistics.com\/toukei-er\/wp-json\/wp\/v2\/tags?post=360"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}