{"id":2136,"date":"2023-07-23T13:06:58","date_gmt":"2023-07-23T13:06:58","guid":{"rendered":"https:\/\/statorials.org\/pl\/bic-do-r\/"},"modified":"2023-07-23T13:06:58","modified_gmt":"2023-07-23T13:06:58","slug":"bic-do-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/bic-do-r\/","title":{"rendered":"Jak obliczy\u0107 bic w r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Bayesowskie kryterium informacyjne<\/strong> , cz\u0119sto w skr\u00f3cie <strong>BIC<\/strong> , jest miar\u0105 stosowan\u0105 do por\u00f3wnywania dobroci dopasowania r\u00f3\u017cnych modeli regresji.<\/span><\/p>\n<p> <span style=\"color: #000000;\">W praktyce dopasowujemy modele regresji wielokrotnej do tego samego zbioru danych i wybieramy model o najni\u017cszej warto\u015bci BIC jako model najlepiej pasuj\u0105cy do danych.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Do obliczenia BIC u\u017cywamy nast\u0119puj\u0105cego wzoru:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>BIC:<\/strong> (RSS+log(n)d\u03c3\u0302 <sup>2<\/sup> ) \/ n<\/span><\/p>\n<p> <span style=\"color: #000000;\">Z\u0142oto:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>d:<\/strong> Liczba predyktor\u00f3w<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> Ca\u0142kowita liczba obserwacji<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03c3\u0302:<\/strong> Oszacowanie wariancji b\u0142\u0119du zwi\u0105zanej z ka\u017cd\u0105 miar\u0105 odpowiedzi w modelu regresji<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>RSS:<\/strong> Pozosta\u0142a suma kwadrat\u00f3w z modelu regresji<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>TSS:<\/strong> Ca\u0142kowita suma kwadrat\u00f3w modelu regresji<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Poni\u017cszy przyk\u0142ad pokazuje krok po kroku jak obliczy\u0107 warto\u015bci BIC dla modeli regresji w R.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Krok 1: Wy\u015bwietl dane<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">W tym przyk\u0142adzie u\u017cyjemy wbudowanego zbioru danych <strong>mtcars<\/strong> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view first six rows of mtcars dataset\n<span style=\"color: #000000;\">head(mtcars)<\/span>\n<\/span>mpg cyl disp hp drat wt qsec vs am gear carb\nMazda RX4 21.0 6 160 110 3.90 2.620 16.46 0 1 4 4\nMazda RX4 Wag 21.0 6 160 110 3.90 2.875 17.02 0 1 4 4\nDatsun 710 22.8 4 108 93 3.85 2.320 18.61 1 1 4 1\nHornet 4 Drive 21.4 6 258 110 3.08 3.215 19.44 1 0 3 1\nHornet Sportabout 18.7 8 360 175 3.15 3.440 17.02 0 0 3 2\nValiant 18.1 6 225 105 2.76 3,460 20.22 1 0 3 1\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Krok 2: Zainstaluj wiele szablon\u00f3w<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Nast\u0119pnie dopasujemy kilka r\u00f3\u017cnych modeli regresji, korzystaj\u0105c z tego zbioru danych:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit three different regression models\n<span style=\"color: #000000;\">model1 &lt;- lm(mpg ~ disp + hp, data = mtcars)<\/span>\n<span style=\"color: #000000;\">model2 &lt;- lm(mpg ~ disp + qsec, data = mtcars)<\/span>\n<span style=\"color: #000000;\">model3 &lt;- lm(mpg ~ disp + wt, data = mtcars)<\/span>\n<\/span><\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Krok 3: Wybierz model z najni\u017cszym BIC<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Aby obliczy\u0107 warto\u015b\u0107 BIC dla ka\u017cdego modelu, mo\u017cemy skorzysta\u0107 z funkcji <strong>BIC()<\/strong> z pakietu <strong>flexmix<\/strong> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #ff0000;\">library<\/span> (flexmix)\n\n<span style=\"color: #008080;\">#calculate BIC of model1\n<\/span>BIC(model1)\n\n[1] 174.4815\n\n<span style=\"color: #008080;\">#calculate BIC of model2\n<\/span>BIC(model2)\n\n[1] 177.7048\n\n<span style=\"color: #008080;\">#calculate BIC of model3\n<\/span>BIC(model3)\n\n[1] 170.0307\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Dla ka\u017cdego modelu mo\u017cemy zobaczy\u0107 warto\u015bci BIC:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">BIC <strong>wzoru 1<\/strong> : 174.4815<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Model 2<\/strong> BIC: 177.7048<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Model 3<\/strong> BIC: 170.0307<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Poniewa\u017c model 3 ma najni\u017csz\u0105 warto\u015b\u0107 BIC, wybierzemy go jako model najlepiej pasuj\u0105cy do zbioru danych.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017csze samouczki wyja\u015bniaj\u0105, jak dopasowa\u0107 popularne modele regresji w R:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pl\/prosta-regresja-liniowa-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 prost\u0105 regresj\u0119 liniow\u0105 w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/wielokrotna-regresja-liniowa-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 wielokrotn\u0105 regresj\u0119 liniow\u0105 w R<\/a><br \/> Jak przeprowadzi\u0107 regresj\u0119 logistyczn\u0105 w R<br \/> <a href=\"https:\/\/statorials.org\/pl\/wazone-metoda-najmniejszych-kwadratow-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak wykona\u0107 wa\u017con\u0105 regresj\u0119 metod\u0105 najmniejszych kwadrat\u00f3w w R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bayesowskie kryterium informacyjne , cz\u0119sto w skr\u00f3cie BIC , jest miar\u0105 stosowan\u0105 do por\u00f3wnywania dobroci dopasowania r\u00f3\u017cnych modeli regresji. W praktyce dopasowujemy modele regresji wielokrotnej do tego samego zbioru danych i wybieramy model o najni\u017cszej warto\u015bci BIC jako model najlepiej pasuj\u0105cy do danych. Do obliczenia BIC u\u017cywamy nast\u0119puj\u0105cego wzoru: BIC: (RSS+log(n)d\u03c3\u0302 2 ) \/ n [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-2136","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jak obliczy\u0107 BIC w R - Statology<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, wraz z przyk\u0142adami, jak obliczy\u0107 warto\u015bci BIC dla modeli regresji w R.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pl\/bic-do-r\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak obliczy\u0107 BIC w R - Statology\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, wraz z przyk\u0142adami, jak obliczy\u0107 warto\u015bci BIC dla modeli regresji w R.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/bic-do-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-23T13:06:58+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/bic-do-r\/\",\"url\":\"https:\/\/statorials.org\/pl\/bic-do-r\/\",\"name\":\"Jak obliczy\u0107 BIC w R - Statology\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-23T13:06:58+00:00\",\"dateModified\":\"2023-07-23T13:06:58+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, wraz z przyk\u0142adami, jak obliczy\u0107 warto\u015bci BIC dla modeli regresji w R.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/bic-do-r\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/bic-do-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/bic-do-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak obliczy\u0107 bic w r\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. Dzi\u0119ki bogatemu do\u015bwiadczeniu i wiedzy specjalistycznej w dziedzinie statystyki ch\u0119tnie dziel\u0119 si\u0119 swoj\u0105 wiedz\u0105, aby wzmocni\u0107 pozycj\u0119 uczni\u00f3w za po\u015brednictwem Statorials. Wiedzie\u0107 wi\u0119cej\",\"sameAs\":[\"https:\/\/statorials.org\/pl\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Jak obliczy\u0107 BIC w R - Statology","description":"W tym samouczku wyja\u015bniono, wraz z przyk\u0142adami, jak obliczy\u0107 warto\u015bci BIC dla modeli regresji w R.","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:\/\/statorials.org\/pl\/bic-do-r\/","og_locale":"pl_PL","og_type":"article","og_title":"Jak obliczy\u0107 BIC w R - Statology","og_description":"W tym samouczku wyja\u015bniono, wraz z przyk\u0142adami, jak obliczy\u0107 warto\u015bci BIC dla modeli regresji w R.","og_url":"https:\/\/statorials.org\/pl\/bic-do-r\/","og_site_name":"Statorials","article_published_time":"2023-07-23T13:06:58+00:00","author":"Benjamin Anderson","twitter_card":"summary_large_image","twitter_misc":{"Napisane przez":"Benjamin Anderson","Szacowany czas czytania":"2 minuty"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/pl\/bic-do-r\/","url":"https:\/\/statorials.org\/pl\/bic-do-r\/","name":"Jak obliczy\u0107 BIC w R - Statology","isPartOf":{"@id":"https:\/\/statorials.org\/pl\/#website"},"datePublished":"2023-07-23T13:06:58+00:00","dateModified":"2023-07-23T13:06:58+00:00","author":{"@id":"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965"},"description":"W tym samouczku wyja\u015bniono, wraz z przyk\u0142adami, jak obliczy\u0107 warto\u015bci BIC dla modeli regresji w R.","breadcrumb":{"@id":"https:\/\/statorials.org\/pl\/bic-do-r\/#breadcrumb"},"inLanguage":"pl-PL","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/pl\/bic-do-r\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/pl\/bic-do-r\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Dom","item":"https:\/\/statorials.org\/pl\/"},{"@type":"ListItem","position":2,"name":"Jak obliczy\u0107 bic w r"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/pl\/#website","url":"https:\/\/statorials.org\/pl\/","name":"Statorials","description":"Tw\u00f3j przewodnik po kompetencjach statystycznych!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/pl\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"pl-PL"},{"@type":"Person","@id":"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965","name":"Benjamin Anderson","image":{"@type":"ImageObject","inLanguage":"pl-PL","@id":"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg","caption":"Benjamin Anderson"},"description":"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. Dzi\u0119ki bogatemu do\u015bwiadczeniu i wiedzy specjalistycznej w dziedzinie statystyki ch\u0119tnie dziel\u0119 si\u0119 swoj\u0105 wiedz\u0105, aby wzmocni\u0107 pozycj\u0119 uczni\u00f3w za po\u015brednictwem Statorials. Wiedzie\u0107 wi\u0119cej","sameAs":["https:\/\/statorials.org\/pl"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/posts\/2136","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/comments?post=2136"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/posts\/2136\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/media?parent=2136"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/categories?post=2136"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/tags?post=2136"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}