{"id":3966,"date":"2023-07-14T11:22:08","date_gmt":"2023-07-14T11:22:08","guid":{"rendered":"https:\/\/statorials.org\/pl\/wmape-w-r\/"},"modified":"2023-07-14T11:22:08","modified_gmt":"2023-07-14T11:22:08","slug":"wmape-w-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/wmape-w-r\/","title":{"rendered":"Jak obliczy\u0107 wmape w r (z przyk\u0142adem)"},"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 prognozy modelu jest <strong>WMAPE<\/strong> , co oznacza <strong>\u015bredni wa\u017cony bezwzgl\u0119dny b\u0142\u0105d procentowy<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Wz\u00f3r do obliczenia WMAPE to:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>WMAPE<\/strong> = (\u03a3|y <sub>i<\/sub> \u2013 \u0177 <sub>i<\/sub> |*w <sub>i<\/sub> ) \/ (\u03a3y <sub>i<\/sub> *w <sub>i<\/sub> ) * 100<\/span><\/p>\n<p> <span style=\"color: #000000;\">Z\u0142oto:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> \u2013 symbol oznaczaj\u0105cy \u201esum\u0119\u201d<\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><b>y <sub>i<\/sub><\/b> \u2013 Rzeczywista warto\u015b\u0107 <sup>i-tej<\/sup> obserwacji<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\"><b>\u0177 <sub>i<\/sub><\/b> \u2013 Przewidywana warto\u015b\u0107 i- <sup>tej<\/sup> obserwacji<\/span><\/li>\n<li> <span style=\"color: #000000;\"><b>w <sub>i<\/sub><\/b> \u2013 waga i- <sup>tej<\/sup> obserwacji<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Mo\u017cemy zdefiniowa\u0107 nast\u0119puj\u0105c\u0105 funkcj\u0119 do obliczania WMAPE w R:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>find_WMAPE &lt;- <span style=\"color: #008000;\">function<\/span> (y, yhat, w){\n  <span style=\"color: #008000;\">return<\/span> (sum(abs(y-yhat)*w)\/sum(y*w)*100)\n}\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Poni\u017cszy przyk\u0142ad pokazuje, jak w praktyce wykorzysta\u0107 t\u0119 funkcj\u0119.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Przyk\u0142ad: obliczanie WMAPE w R<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy, \u017ce mamy nast\u0119puj\u0105c\u0105 ramk\u0119 danych w R, kt\u00f3ra zawiera informacje o aktualnej i prognozowanej sprzeda\u017cy w sklepie detalicznym:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create dataset<\/span>\ndata &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (actual=c(23, 37, 44, 47, 48, 48, 46, 43, 32, 27, 26, 24),\n                   forecast=c(37, 40, 46, 44, 46, 50, 45, 44, 34, 30, 22, 23))\n<span style=\"color: #008080;\">\n#view dataset<\/span>\ndata\n\n   current forecast\n1 23 37\n2 37 40\n3 44 46\n4 47 44\n5 48 46\n6 48 50\n7 46 45\n8 43 44\n9 32 34\n10 27 30\n11 26 22\n12 24 23\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Aby obliczy\u0107 WMAPE dla r\u00f3\u017cnicy mi\u0119dzy rzeczywist\u0105 a prognozowan\u0105 sprzeda\u017c\u0105, mo\u017cemy zdefiniowa\u0107 wektor wag, kt\u00f3rych b\u0119dziemy u\u017cywa\u0107, a nast\u0119pnie skorzysta\u0107 z funkcji WMAPE, kt\u00f3r\u0105 zdefiniowali\u015bmy wcze\u015bniej:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define function to calculate WMAPE\n<\/span>find_WMAPE &lt;- <span style=\"color: #008000;\">function<\/span> (y, yhat, w){\n  <span style=\"color: #008000;\">return<\/span> (sum(abs(y-yhat)*w)\/sum(y*w)*100)\n}\n\n<span style=\"color: #008080;\">#define weights for each month\n<\/span>weights &lt;- c(20, 20, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6)\n\n<span style=\"color: #008080;\">#calculate WMAPE\n<\/span>find_WMAPE(df$actual, df$predicted, weights)\n\n[1] 13.27635\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">WMAPE dla tego modelu okazuje si\u0119 wynosi\u0107 <strong>13,27635%<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Oznacza to, \u017ce \u015bredni wa\u017cony bezwzgl\u0119dny b\u0142\u0105d procentowy mi\u0119dzy przewidywanymi warto\u015bciami sprzeda\u017cy a rzeczywistymi warto\u015bciami sprzeda\u017cy wynosi 13,27635%.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nale\u017cy pami\u0119ta\u0107, \u017ce w tym przyk\u0142adzie przypisali\u015bmy znacznie wi\u0119ksze wagi warto\u015bciom stycznia i lutego.<\/span><\/p>\n<p> <span style=\"color: #000000;\">W zale\u017cno\u015bci od konkretnego problemu mo\u017cesz przypisa\u0107 wi\u0119ksze lub mniejsze wagi r\u00f3\u017cnym obserwacjom w oparciu o wag\u0119 ka\u017cdego b\u0142\u0119du w modelu.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Poni\u017csze samouczki wyja\u015bniaj\u0105, jak wykonywa\u0107 inne typowe zadania w j\u0119zyku R:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pl\/karta-r\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 MAPE w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/ma\u0142y-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 SMAPE w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/jak-obliczyc-rmse-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 RMSE w R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Jedn\u0105 z najcz\u0119\u015bciej u\u017cywanych metryk do pomiaru dok\u0142adno\u015bci prognozy modelu jest WMAPE , co oznacza \u015bredni wa\u017cony bezwzgl\u0119dny b\u0142\u0105d procentowy . Wz\u00f3r do obliczenia WMAPE to: WMAPE = (\u03a3|y i \u2013 \u0177 i |*w i ) \/ (\u03a3y i *w i ) * 100 Z\u0142oto: \u03a3 \u2013 symbol oznaczaj\u0105cy \u201esum\u0119\u201d y i \u2013 Rzeczywista warto\u015b\u0107 [&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-3966","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 WMAPE w R (z przyk\u0142adem) \u2013 Statologia<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 WMAPE (\u015bredni wa\u017cony bezwzgl\u0119dny b\u0142\u0105d procentowy) w j\u0119zyku R, \u0142\u0105cznie z przyk\u0142adami.\" \/>\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\/wmape-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 WMAPE w R (z przyk\u0142adem) \u2013 Statologia\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 WMAPE (\u015bredni wa\u017cony bezwzgl\u0119dny b\u0142\u0105d procentowy) w j\u0119zyku R, \u0142\u0105cznie z przyk\u0142adami.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/wmape-w-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-14T11:22:08+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\/wmape-w-r\/\",\"url\":\"https:\/\/statorials.org\/pl\/wmape-w-r\/\",\"name\":\"Jak obliczy\u0107 WMAPE w R (z przyk\u0142adem) \u2013 Statologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-14T11:22:08+00:00\",\"dateModified\":\"2023-07-14T11:22:08+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 WMAPE (\u015bredni wa\u017cony bezwzgl\u0119dny b\u0142\u0105d procentowy) w j\u0119zyku R, \u0142\u0105cznie z przyk\u0142adami.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/wmape-w-r\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/wmape-w-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/wmape-w-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak obliczy\u0107 wmape w r (z przyk\u0142adem)\"}]},{\"@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. 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