{"id":832,"date":"2023-07-28T14:39:22","date_gmt":"2023-07-28T14:39:22","guid":{"rendered":"https:\/\/statorials.org\/pl\/karta-pythona\/"},"modified":"2023-07-28T14:39:22","modified_gmt":"2023-07-28T14:39:22","slug":"karta-pythona","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/karta-pythona\/","title":{"rendered":"Jak obliczy\u0107 mape w pythonie"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Do pomiaru dok\u0142adno\u015bci predykcyjnej modeli powszechnie stosuje si\u0119 <strong>\u015bredni bezwzgl\u0119dny b\u0142\u0105d procentowy (MAPE)<\/strong> . Oblicza si\u0119 go w nast\u0119puj\u0105cy spos\u00f3b:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>MAPE<\/strong> = (1\/n) * \u03a3(|rzeczywista \u2013 prognoza| \/ |rzeczywista|) * 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;\"><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;\"><strong>predykcja<\/strong> \u2013 warto\u015b\u0107 przewidywanych danych<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">MAPE jest powszechnie stosowany, poniewa\u017c jest \u0142atwy do interpretacji i wyja\u015bnienia. Na przyk\u0142ad warto\u015b\u0107 MAPE wynosz\u0105ca 11,5% oznacza, \u017ce \u015brednia r\u00f3\u017cnica mi\u0119dzy warto\u015bci\u0105 przewidywan\u0105 a warto\u015bci\u0105 rzeczywist\u0105 wynosi 11,5%.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Im ni\u017csza warto\u015b\u0107 MAPE, tym lepiej model jest w stanie przewidzie\u0107 warto\u015bci. Na przyk\u0142ad model z MAPE wynosz\u0105cym 5% jest dok\u0142adniejszy ni\u017c model z MAPE wynosz\u0105cym 10%.<\/span><\/p>\n<h3> <strong>Jak obliczy\u0107 MAPE w Pythonie<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Nie ma wbudowanej funkcji Pythona do obliczania MAPE, ale mo\u017cemy stworzy\u0107 prost\u0105 funkcj\u0119, kt\u00f3ra to zrobi:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import <span style=\"color: #000000;\">numpy<\/span> as <span style=\"color: #000000;\">np<\/span>\n\ndef<\/span> mape( <span style=\"color: #3752cc;\">actual<\/span> , <span style=\"color: #3752cc;\">pred<\/span> ): \n    actual, pred = np.array(actual), np.array(pred)\n    <span style=\"color: #107d3f;\">return<\/span> np.mean(np.abs((actual - pred) \/ actual)) * 100\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Mo\u017cemy nast\u0119pnie u\u017cy\u0107 tej funkcji do obliczenia MAPE dla dw\u00f3ch tabel: jednej zawieraj\u0105cej rzeczywiste warto\u015bci danych i drugiej zawieraj\u0105cej przewidywane warto\u015bci danych.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>actual = [12, 13, 14, 15, 15,22, 27]\npred = [11, 13, 14, 14, 15, 16, 18]\n\nmap(actual, pred)\n\n10.8009\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Z wynik\u00f3w wida\u0107, \u017ce \u015bredni bezwzgl\u0119dny b\u0142\u0105d procentowy dla tego modelu wynosi <strong>10,8009%<\/strong> . Innymi s\u0142owy, \u015brednia r\u00f3\u017cnica mi\u0119dzy warto\u015bci\u0105 przewidywan\u0105 a warto\u015bci\u0105 rzeczywist\u0105 wynosi 10,8009%.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u015arodki ostro\u017cno\u015bci podczas korzystania z MAPE<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Chocia\u017c MAPE jest \u0142atwy do obliczenia i interpretacji, jego u\u017cycie ma dwie potencjalne wady:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> Poniewa\u017c wz\u00f3r na obliczenie bezwzgl\u0119dnego b\u0142\u0119du procentowego to |rzeczywista prognoza| \/ |prawdziwy| oznacza to, \u017ce MAPE nie zostanie zdefiniowany, je\u015bli kt\u00f3rakolwiek z rzeczywistych warto\u015bci b\u0119dzie wynosi\u0107 zero.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Nie nale\u017cy u\u017cywa\u0107 MAPE w przypadku ma\u0142ych ilo\u015bci danych. Na przyk\u0142ad, je\u015bli rzeczywisty popyt na artyku\u0142 wynosi 2, a prognoza wynosi 1, bezwzgl\u0119dna warto\u015b\u0107 b\u0142\u0119du procentowego b\u0119dzie wynosi\u0107 |2-1| \/ |2| = 50%, co sprawia, \u017ce b\u0142\u0105d prognozy wydaje si\u0119 do\u015b\u0107 wysoki, nawet je\u015bli prognoza r\u00f3\u017cni si\u0119 tylko o 1 jednostk\u0119.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Do pomiaru dok\u0142adno\u015bci predykcyjnej modeli powszechnie stosuje si\u0119 \u015bredni bezwzgl\u0119dny b\u0142\u0105d procentowy (MAPE) . Oblicza si\u0119 go w nast\u0119puj\u0105cy spos\u00f3b: MAPE = (1\/n) * \u03a3(|rzeczywista \u2013 prognoza| \/ |rzeczywista|) * 100 Z\u0142oto: \u03a3 \u2013 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 MAPE jest powszechnie stosowany, [&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-832","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 MAPE w Pythonie - Statorials<\/title>\n<meta name=\"description\" content=\"Proste wyja\u015bnienie, jak obliczy\u0107 \u015bredni bezwzgl\u0119dny b\u0142\u0105d procentowy (MAPE) w Pythonie.\" \/>\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\/karta-pythona\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak obliczy\u0107 MAPE w Pythonie - Statorials\" \/>\n<meta property=\"og:description\" content=\"Proste wyja\u015bnienie, jak obliczy\u0107 \u015bredni bezwzgl\u0119dny b\u0142\u0105d procentowy (MAPE) w Pythonie.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/karta-pythona\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T14:39:22+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\/karta-pythona\/\",\"url\":\"https:\/\/statorials.org\/pl\/karta-pythona\/\",\"name\":\"Jak obliczy\u0107 MAPE w Pythonie - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-28T14:39:22+00:00\",\"dateModified\":\"2023-07-28T14:39:22+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"Proste wyja\u015bnienie, jak obliczy\u0107 \u015bredni bezwzgl\u0119dny b\u0142\u0105d procentowy (MAPE) w Pythonie.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/karta-pythona\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/karta-pythona\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/karta-pythona\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak obliczy\u0107 mape w pythonie\"}]},{\"@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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