{"id":680,"date":"2023-07-29T02:48:26","date_gmt":"2023-07-29T02:48:26","guid":{"rendered":"https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/"},"modified":"2023-07-29T02:48:26","modified_gmt":"2023-07-29T02:48:26","slug":"jak-obliczyc-mse-w-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/","title":{"rendered":"Jak obliczy\u0107 mse w r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Jedn\u0105 z najcz\u0119\u015bciej u\u017cywanych metryk do pomiaru dok\u0142adno\u015bci przewidywania modelu jest <strong>MSE<\/strong> , co oznacza <strong>b\u0142\u0105d \u015bredniokwadratowy<\/strong> . Oblicza si\u0119 go w nast\u0119puj\u0105cy spos\u00f3b:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>MSE<\/strong> = (1\/n) * \u03a3(rzeczywista \u2013 prognoza) <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">Z\u0142oto:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> \u2013 fantazyjny symbol oznaczaj\u0105cy \u201esum\u0119\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> \u2013 wielko\u015b\u0107 pr\u00f3by<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>real<\/strong> \u2013 rzeczywista warto\u015b\u0107 danych<\/span><\/li>\n<li> <span style=\"color: #000000;\"><b>predykcja<\/b> \u2013 warto\u015b\u0107 przewidywanych danych<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Im ni\u017csza warto\u015b\u0107 MSE, tym dok\u0142adniej model jest w stanie przewidzie\u0107 warto\u015bci.<\/span><\/p>\n<h2> <strong>Jak obliczy\u0107 MSE w R<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">W zale\u017cno\u015bci od formatu danych istniej\u0105 dwie proste metody, kt\u00f3rych mo\u017cna u\u017cy\u0107 do obliczenia MSE modelu regresji w j\u0119zyku R.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Metoda 1: Oblicz MSE z modelu regresji<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">W jednym scenariuszu mo\u017cesz mie\u0107 dopasowany model regresji i po prostu chcie\u0107 obliczy\u0107 MSE modelu. Na przyk\u0142ad mo\u017cesz mie\u0107 nast\u0119puj\u0105cy model regresji:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load mtcars dataset<\/span>\ndata(mtcars)\n\n<span style=\"color: #008080;\">#fit regression model<\/span>\nmodel &lt;- lm(mpg~disp+hp, data=mtcars)\n\n<span style=\"color: #008080;\">#get model summary\n<\/span>model_summ &lt;-summary(model)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Aby obliczy\u0107 MSE tego modelu, mo\u017cesz skorzysta\u0107 z nast\u0119puj\u0105cego wzoru:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate MSE<\/span>\nmean(model_summ$residuals^2)\n\n[1] 8.85917<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">To m\u00f3wi nam, \u017ce MSE wynosi <strong>8,85917<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Metoda 2: Oblicz MSE z listy warto\u015bci przewidywanych i rzeczywistych<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">W innym scenariuszu mo\u017cesz po prostu mie\u0107 list\u0119 przewidywanych i rzeczywistych warto\u015bci. Na przyk\u0142ad:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame with a column of actual values and a column of predicted values<\/span>\ndata &lt;- data.frame(pred = predict(model), actual = mtcars$mpg)\n\n<span style=\"color: #008080;\">#view first six lines of data<\/span>\nhead(data)\n\n                      pred actual\nMazda RX4 23.14809 21.0\nMazda RX4 Wag 23.14809 21.0\nDatsun 710 25.14838 22.8\nHornet 4 Drive 20.17416 21.4\nHornet Sportabout 15.46423 18.7\nValiant 21.29978 18.1\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">W takim przypadku mo\u017cesz u\u017cy\u0107 nast\u0119puj\u0105cego wzoru do obliczenia MSE:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate MSE<\/span>\nmean((data$actual - data$pred)^2)\n\n[1] 8.85917<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">To m\u00f3wi nam, \u017ce MSE wynosi <strong>8,85917<\/strong> , co odpowiada MSE obliczonemu przy u\u017cyciu poprzedniej metody.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Jedn\u0105 z najcz\u0119\u015bciej u\u017cywanych metryk do pomiaru dok\u0142adno\u015bci przewidywania modelu jest MSE , co oznacza b\u0142\u0105d \u015bredniokwadratowy . Oblicza si\u0119 go w nast\u0119puj\u0105cy spos\u00f3b: MSE = (1\/n) * \u03a3(rzeczywista \u2013 prognoza) 2 Z\u0142oto: \u03a3 \u2013 fantazyjny symbol oznaczaj\u0105cy \u201esum\u0119\u201d n \u2013 wielko\u015b\u0107 pr\u00f3by real \u2013 rzeczywista warto\u015b\u0107 danych predykcja \u2013 warto\u015b\u0107 przewidywanych danych Im ni\u017csza [&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-680","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 MSE w R - Statorials<\/title>\n<meta name=\"description\" content=\"Proste wyja\u015bnienie sposobu obliczania MSE, w tym kilka przyk\u0142ad\u00f3w.\" \/>\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\/jak-obliczyc-mse-w-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 MSE w R - Statorials\" \/>\n<meta property=\"og:description\" content=\"Proste wyja\u015bnienie sposobu obliczania MSE, w tym kilka przyk\u0142ad\u00f3w.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T02:48:26+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=\"1 minuta\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/\",\"url\":\"https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/\",\"name\":\"Jak obliczy\u0107 MSE w R - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-29T02:48:26+00:00\",\"dateModified\":\"2023-07-29T02:48:26+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Proste wyja\u015bnienie sposobu obliczania MSE, w tym kilka przyk\u0142ad\u00f3w.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak obliczy\u0107 mse 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 MSE w R - Statorials","description":"Proste wyja\u015bnienie sposobu obliczania MSE, w tym kilka przyk\u0142ad\u00f3w.","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\/jak-obliczyc-mse-w-r\/","og_locale":"pl_PL","og_type":"article","og_title":"Jak obliczy\u0107 MSE w R - Statorials","og_description":"Proste wyja\u015bnienie sposobu obliczania MSE, w tym kilka przyk\u0142ad\u00f3w.","og_url":"https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/","og_site_name":"Statorials","article_published_time":"2023-07-29T02:48:26+00:00","author":"Benjamin Anderson","twitter_card":"summary_large_image","twitter_misc":{"Napisane przez":"Benjamin Anderson","Szacowany czas czytania":"1 minuta"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/","url":"https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/","name":"Jak obliczy\u0107 MSE w R - Statorials","isPartOf":{"@id":"https:\/\/statorials.org\/pl\/#website"},"datePublished":"2023-07-29T02:48:26+00:00","dateModified":"2023-07-29T02:48:26+00:00","author":{"@id":"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965"},"description":"Proste wyja\u015bnienie sposobu obliczania MSE, w tym kilka przyk\u0142ad\u00f3w.","breadcrumb":{"@id":"https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/#breadcrumb"},"inLanguage":"pl-PL","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/pl\/jak-obliczyc-mse-w-r\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Dom","item":"https:\/\/statorials.org\/pl\/"},{"@type":"ListItem","position":2,"name":"Jak obliczy\u0107 mse 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\/680","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=680"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/posts\/680\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/media?parent=680"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/categories?post=680"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/pl\/wp-json\/wp\/v2\/tags?post=680"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}